AN ANALYSIS OF THE THEORY OF INDEPENDENT ABILITIES WITH RESPECT TO TESTS OF APPARENTLY DIVERSE ABILITIES
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Xerox University Microfilms 3 00 North Z e e b Road A nn Arbor, M ichigan 48106 nvn.o'V1' LD3907 .0 7 1940 . 1.16 Ilorrow, Robert S An analysis of the theory of indepen dent abilities with respect to tests of apparently diverse abilities... New York, 1940. 114,ells typewritten leaves. tables, diagrs. 29cn. Thesis (Ph.D.) - New York university, Graduate school, 1940. Bibliography; 7p. at end. A54460 Shelf Xerox University Microfilms, List Ann Arbor, Michigan 48106 T H IS D IS S E R T A TIO N HAS BEEN M IC R O F IL M E D E X A C T L Y AS R EC EIVED . L ib ra r y N. Y. UhivJ AN ANALYSIS OF THE THEORY OF INDEPENDENT ABILITIES WITH' RESPECT TO TESTS OF APPARENTLY DIVERSE ABILITIES. R obert S. Morrow Submitted, in p a r t i a l f u lf illm e n t of th e req u ire m en ts f c r th e degree of do cto r of p h ilo so p h y a t New York U n iv e r s ity Kay, 1940 The w r i t e r i s Host g r a te f u l to tho^-c who a id e d him in c a rry in g out t h i s in v e s tig a tio n . He i s p erm an en tly in d e b te d to A ss o c ia te P ro fe s s o r Thomas N. J e n k in s o f th e Departm ent of P sychology cf W ashington Square C o lleg e, New York U n iv e rs ity , f o r in d is p e n s a b le s u p e rv is io n o f th e ex p erim en t. He w ish es to thank P r o f e s s o r P r e s le y D. S to u t, Chairman o f th e Psychology D epartm ent, ’W ashington Square C o lleg e, f o r making a v a ila b le th e com plete f a c i l i t i e s o f th e d ep artm en t. CONTENTS I. II. The Problem - p. 4 1. T e n ta tiv e S tatem ent of th e Problem - - - - - - - - - - - 4 2. H is to r ic a l Survey o f th e Problem - - - - - - - - - - - - 4 2. F in a l Statem ent <£f th e Problem - - - The Experim ent - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 1. S u b je c ts - - - - - - - - - - - - - - - — 39 __ 39 2 . P ro ced u re - - - - - - - - - - - - - - - - - - - - - - - - 39 3. M a te ria ls - - - - - — 36 - - - - - - - - - - - - - - ---- - - - 41 a) I n te llig e n c e T e s t - - - - - - - - - - - - - - - - - - 42 b) Music T o rts - - - - - - - - - - - - - - - - - - - - - 45 c) A rt Judgment T e st - - - - - - - - - - - - - - - - - - - 48 d) C le r ic a l A b ili ty T e st - - - - - - - - - - - - - - - - 48 e) M echanical A b i l i t y T e s ts - - - - - - - - - - - - - - - 49 f ) T eats 01 M a n ip u lativ e A b i l i t y - - - - - - - - - - - - 52 4 . Summary o f the E x p erim en tal P ro ced u re - - - - - - - - - - 53 I I I . The R e s u l t s ------------------------------------------------------------------------------ 55 1 . The Frequency D is tr ib u t io n s - - - - - - - - - - - - - - - 55 2 . The I n te r c o r r e ln ti o n s Among th e T e s ts - - - - - - - - - - 84 3. F a c to r A n aly sis o f th e C o r r e la tio n s - - - - - - - - - - - 93 IV. D isc u ssio n o f th e R e s u lts - - - - - - - - - - - - - - - - - 104 Recommendations f o r F u rth e r Study - - - - - - - - - - - - - 110 V. Summary and C onclusions - - - - - - - - - - - - - - - - - VI. V II. Appendix - - B ib lio g ra p h y - - - - - - - - - - - - - - - - - - - - - - - 112 115 H9 4 I . THE PROBLEM T e n ta tiv e S tatem en t o f th e Problem I t i s th e o b je c t o f th e p re s e n t stu d y to determ in e w hether human a b i l i t i e s a s m easured by s p e c ia l t e s t s a r e independent o r in te rd e p e n d e n t and th e e x te n t o f such r e l a t i o n s h i p . More p a r t i c u la r ly th e problem is to f in d by means of c o r r e l a t i o n a l a n a ly s is and th e f a c t o r i a l a n a ly s is te ch n iq u e th e d eg rees o f r e la tio n s h ip among c e r t a i n t e s t s of i n t e ll ig e n c e , m u sic al a b i l i t y , a r t i s t i c judgm ent, c l e r i c a l a b i l i t y , m echanical a b i l i t y , and m a n ip u la tiv e a b ility . H is to r ic a l Survey of th e Problem The stu d y o f human a b i l i t y is u n d o u b ted ly a s o ld a s l i f e its e lf. H o llin g w o rth (3 0 ), P e te rs o n (5 4 ), and H u ll (3 1 ), among o th e r s , w r ite o f th e i n t e r e s t which P la to had in a p titu d e s and of h is d e s ir e to in v e n t the means f o r d is c o v e rin g s p e c ia liz e d a b ilitie s . F a c u lty P sychology devoted much e f f o r t tow ards d e s c rib in g , c l a s s i f y i n g and e x p la in in g th e v a rio u s a b i l i t i e s . Y et, d e s p ite t h i s l i f e - l o n g i n t e r e s t , it* w as n o t u n t i l com p a r a t iv e l y r e c e n t y e a rs th a t th e approach to th e problem h as been p r e d ic a te d on a p ro p e r, s c i e n t i f i c b a s is . I t took th e 5 combined, c o n tr ib u tio n s o f th e work o f Gal to n end C a t t e l l , th e in v e n tio n o f th e c o r r e l a ti o n c o e f f i c ie n t by P earso n , and th e ex p erim en ts o f B in e t to h e lp lau n ch th e stu d y o f a b i l i t i e s in to th e ch an n els o f s c i e n t i f i c p ro c e d u re . The g r e a t e s t im petus to th e stu d y w&s g iv en d u rin g th e p e r io d of th e W orld War, when i t became n e c e ssa ry to c o n s tr u c t more ad eq u ate m easures of a b ility . The approach which i s most o f te n u se d in th e stu d y of a b i l i t i e s i s th e c o r r e l a t i o n a l e n a ly s is among s e v e r a l of th e v a rio u s a b i l i t i e s . One o f th e f i r s t ex p erim en ts alo n g th e s e l i n e s was by W is s le r (9 5 ), who conducted a com prehensive a n a ly s is among th r e e c a te g o r ie s o f t e s t s - p s y c h o lo g ic a l t e s t s , which were m ain ly t e s t s o f q u ick n ess and accu racy ( i . e . , r e a c tio n tim e t e s t s ) , academ ic t e s t s , which c o n s is te d c h i e f ly of c o lle g e g rad es and o f s c h o la s tic achievem ent t e s t s ( i . e . , r a te o f read in g ) , and v a rio u s p h y s ic a l and p h y s io lo g ic a l t e s t s . The low i n t e r c o r r e l a t i o n s acng th e t e s t s caused th e a u th o r to conclude t h a t " . . . th e re i s no ev id en ce o f im p o rtan t f u n c tio n a l r e l a t i o n s between the a c t i v i t i e s employed" and, a l s o , t h a t " th e s e t e s t s muet be m easures o f s p e c ia l a b i l i t i e s . " Three s tu d ie s , w hich were contem porary w ith th e W is s le r in v e s t ig a t io n , se rv e d to confirm h i s g e n e ra l r e s u l t s . The ex - 6 p e rim e n ts by Sharp (6?) »nd Seashore (59) p re c e d e d th e W issle r experim ent w h ile th e study by B agley (? ) a p p ea red alm ost sim ul ta n e o u s ly . Sharp in v e s tig a te d th e r e l a t i o n s among th e d if f e r e n t t e s t s o f memory, m ental im agery, p a s s iv e im ag in a tio n and c o n stru c tiv e im a g in a tio n ( e . g ., m echanical and l i t e r a r y a b i l i t y ) , a t te n ti o n , o b s e rv a tio n and d e s c r ip tio n , t a s t e s an d te n d e n c ie s (o r th e s o - c a ll e d a e s t h e t i c a p p r e c ia tiv e a b i l i t i e s - m u sic, a r t , l i t e r a tu re ). She found, through th e u se o f cru d e s t a t i s t i c a l m ethods, th a t th e r e was a " la c k of correspondence" among th e t e s t s . S eash o re, to o , employed th e c ru d e r s t a t i s t i c a l methods o f th e p e r io d in f in d in g a la c k o f f u n c tio n a l r e l a t i o n s between g en era l m ental a b i l i t y , o r in t e ll ig e n c e , and t e s t s o f h e a rin g , p it c h , rhythm , time sen se, motor a b i l i t y and r e a c tio n tim e. B agley c o r r e l a te d m en tal a b i l i t y , (m easured by r e a c tio n tim e, c la s s s ta n d in g s o f school c h ild r e n and the t e a c h e r 's e s tim a te s ) w ith motor a b i l i t y a s m easured by s tr e n g th , r a p i d i t y and accu racy of v o lu n ta ry movement and s te a d in e s s . His two g e n e ra l c o n c lu sio n s were t h a t th e r e i s " . . . a g e n e ra l in v e rs e r e l a t i o n between m otor and m e n tal a b i l i t y ; th o se who a r e th e 'b r i g h t e r ' p u p ils and th o se who have th e q u ic k e r r e a c tio n tim es b e in g , a s a r u le , d e f ic ie n t in m otor a b i l i t y , w h ile th o se who a r e b e s t developed p h y s ic a lly , who a r e th e s tr o n g e s t, who have developed m otor 'c o n t r o l ' to th e g r e a t e s t e x te n t, a r e g e n e r a lly jie f ic ie n t in m e n tal a b i l i t y " and th a t th e r e seems to be " . . . l i t t l e d i r e c t r e l a t i o n between m en tal 7 a b i l i t y a s r e p r e s e n te d by r e a c tio n tim es, and m en tal a b i l i t y a s r e p re s e n te d by c l a s s s ta n d in g s , ex ce p t th a t e x c e lle n c e in e i t h e r of th e se d ir e c tio n s i s a p t to be accompanied by a d e f ic ie n c y in motor a b i l i t y . " At about t h i s same tim e, Thorndike began to develop a s e r ie s of im p o rtan t r e s e a rc h e s which c u lm in ated in th e formu l a t i o n o f h i s m u l tip l ^ - f a c to r th e o ry o f a b i l i t i e s , (a ) A ik in s , Thorndike and H ubbell (1 ) gave to 240 elem en tary sch o o l c h ild r e n v a rio u s ta s k s o f "m ental f u n c tio n s ," such a s a r ith m e tic p ro b lem s, s p e llin g problem s, fo llo w in g d ir e c tio n s , re a d in g , word a s s o c ia ti o n t e s t s , e t c . , and r e p o r te d i n t e r c o r r e l a t i o n s t h a t w ere, on th e w hole, low o r s l i g h t , and su g g ested t h a t " . . . a p r i o r i , i t i s more r a ti o n a l to lo o k on th e mind a s a m u ltitu d e o f p a r ti c u l a r c a p a c it ie s , p a r t i c u l a r a s s o c ia tio n s and p a r t i c u l a r a c t s , a l l o f which may be h i ^ i l y in d ep en d en t of each o th e r ." T his was r e a ffirm e d l a t e r by Thorndike {80) when he a v e rre d t h a t th e c o rre l a t i o n s " . . . confirm th e sta te m e n t th a t th e mind must be re g a rd e d n o t as a f u n c tio n a l u n i t o r even a s a c o l le c t io n o f a few g e n e ra l f a c u l t i e s which work ir r e s p e c t i v e of p a r t i c u l a r m a te r ia l, b u t (a ) The s e r i e s o f re s e a r c h Ty Thorndike and Woodworth (84) on tr a n s f e r o f t r a i n i n g seemed to be r e la te d d i r e c t l y to th e develop ment o f th e th e o ry s in c e th e t r a i n i n g o f one f u n c tio n d id n o t a f f e c t any o th e r f u n c tio n . Thus, th e y in f e r r e d an independence of m ental f u n c tio n s . 8 r a t h e r a s a m u ltitu d e o f fu n c tio n s each o f w hich iB re la te d c lo s e ly to o n ly a few o f i t s f e llo w s , to o th e rs w ith g r e a t e r and g r e a t e r d eg rees of rem oteness and to many to so a l i g h t a degree a s e lu d e s m easurem ent." He w arned a g a in s t th e a d o p tio n o? a f a c u l t y psychology "by say in g t h a t , "The sc ie n c e of educa ti o n sh o u ld a t once r i d i t s e l f o f th e m ind a s a s o r t o f m achine, d if f e r e n t p a r t s o f w hich sen se, p e r c e iv e , d is c r im in a te , im agine, remember, c o n c e iv e , a s s o c ia t e , re a so n ab o u t, d e s ir e , choose, form h a b i t s , a tte n d to ." P e te rs o n (54) c o r r e c t ly p o in ts o u t th a t t h i s view , t h a t i s , th e m u l t i - f a c t o r th e o ry , had a g r e a t d e a l o f in flu e n c e on American psy ch o lo g y . In h i s ex p erim en ts on i n t e l l i g e n c e , B in e t (8 ) was in acc o rd w ith th e c o n te n tio n th a t m ental f u n c tio n s were inde p en d en t. He i n s i s t e d , however, th a t th e se f u n c tio n s w ere com p le x r a th e r th a n sim ple sen so ry c a p a c i t i e s . The sum o f a s many o f th e se com plex, d is p a r a te f u n c tio n s a s co u ld be a s c e r ta in e d was i n t e l l i g e n c e , acc o rd in g to B in e t. (b) Spearman, on th e o th e r hand, fo rm u la te d th e tw o -fa c to r th e o ry in com plete o p p o s itio n to th e th e o r ie s o f Thorndike and (b ) T h is co n cep t o f i n t e ll ig e n c e rem ains u n a lte r e d , on th e w hole, v i z . , th e p re s e n t ty p e s o f t e s t s o f i n t e l l i g e n c e , in d iv id u a l a s w e ll a s g ro u p . A lthough W echsler (93) fa v o rs th e tw o -fa c to r th e o ry o f Spearman, he models h is t e s t a lo n g th e u s u a l p a t t e r n . 9 B in e t. In h is e a r l i e s t stu d y , Spearman (6 6 ), a f t e r c r i t i c i z i n g th e ex p erim en ts p r e v io u s ly c o n s id e re d , so f a r a s such f a c t o r s a s ex p erim en tal c o n tr o ls and th e f a u l t y employment o r la c k o f employment o f s t a t i s t i c a l m ethods i s concerned, c o r r e l a te d t e s t e of p it c h d is c r im in a tio n ( c a l l e d "m usical t a l e n t " ) , sen so iy d is c rim in a tio n ( v is u a l or l i g h t d is c r im in a tio n and w eig h t d i s c r i m in a tio n (va s a a l. ax. l i g h t dlsgxim inatA an and w eig h t d is c rim in a. tie * )- w ith fo u r c r i t e r i a o f i n t e ll ig e n c e - g ra d e s , r a t i o o f c l a s s sta n d in g to c h ro n o lo g ic a l ag e, te ach ers* e s tim a te s , and s tu d e n t s ' e s tim a te s o f one a n o th e r. The c o e f f i c i e n t s of c o r r e l a t i o n were a rra n g e d in to h ie r a r c h ie s and a f t e r exam ining th e s e h ie r a r c h ie s he concluded t h a t " . . . a l l "branches o f i n t e l l e c t u a l a c t i v i t y have in common one fundam ental f u n c tio n (o r group o f f u n c tio n s ) w hereas th e rem aining o r s p e c if i c elem en ts o f th e a c t i v i t y 3eem in ev ery case to be w h olly d if f e r e n t from th a t in a l l th e o th e r s ." This was th e tw o -fa c to r th e o ry o f Spearman, (c ) The c o n f l i c t betw een t h i s th e o ry and th e m u ltip le f a c t o r th e o ry o f Thorndike l e d to a g r e a t d e a l o f ex p e rim e n ta tio n in su p p o rt o f one th e o ry o r in o p p o s itio n to th e o th e r . M oreover, th e i n v e n tio n o f new s t a t i s t i c a l d e v ic e s ( f o r in s ta n c e , th e b i - f a c t o r (c ) The te rm 'tw o -fa c to ry th e o r y ' was n o t U9ed by Spearman u n t i l h i s a r t i c l e in 1914 (6 7 ). 10 and m u ltip le f a c t o r a n a l y s e s ) , th e e la b o r a tio n of te c h n iq u e s and m ethods, th e fo rm a tio n o f new t e s t s , and th e l i k e , seemed to evolv e d i r e c t l y from th e c o n tr a d ic tio n betw een th e two t h e o r i e s . Much r e s e a rc h was con d u cted in the e f f o r t to su p p o rt e i t h e r one of th e th e o r i e s . Two in v e s tig a tio n s which i l l u s t r a t e d t h i s ty p e of su p p o rt were th o s e o f B u rt (14) and Brown (1 2 ). B u rt ad m in is te r e d e le v e n t e s t s com prising f iv e c a te g o r ie s o f a b i l i t i e s sen so ry t e s t s (to u c h , w eig h t, v is io n , p i t c h ) , t e s t s o f sim ple m otor a b i l i t y (ta p p in g and c a rd d e a lin g ) , s e n s o ii-m o to r t e s t s (c a rd s o r tin g and a lp h a b e t f in d in g t e s t s ) , a s s o c ia tio n t e s t s , immediate m e m o r y ,( i.e ., nonsense s y lla b le s ) and t e s t s o f volun ta r y a t t e n t i o n ( d o tt in g i r r e g u l a r c i r c l e s ) . He c o r r e l a te d th e s e a b i l i t i e s w ith i n t e l l i g e n c e , em ploying th e same c r i t e r i a a s Spearman, th a t i s , te a c h e r and s tu d e n t r a t i n g s , g ra d e s, e t c . The h ie r a r c h ie s o f c o r r e l a t i o n c o e f f i c i e n t s w hich he o b ta in e d caused him to a g re e s u b s t a n t i a l l y w ith th e c o n c lu sio n s o f Spearman. Brown, on the o th e r hand, o b ta in e d i n t e r c o r r e l a t i o n s among "sim p le m ental a b i l i t i e s " ( a d d itio n , memory, a s s o c ia t io n tim e, g ra d e s , e t c . ) and re p o r te d from th e groups of c o r r e l a ti o n c o e f f i c i e n t s th a t "not one of them shows th e 'h i e r a r c h i c a l arran g em en t1" , th e re b y c o u tra v e r tin g Speanaan and a g re e in g e s s e n t i a l l y w ith T horndike. A la r g e p o r tio n o f t h i s work was p erfo rm ed by th e p ro ta g o n is ts th e m se lv e s. T horndike, Lay and Dean (83) c o r r e l a te d t e s t s of v is u a l and w eig h t d is c r im in a tio n w ith i n t e l l i g e n c e , a s m easured 11 toy g ra d e s , te a c h e r and s tu d e n t r a t i n g s , and so f o r t h . They r e p o r te d th a t " . . . the most p ro b ab le r e l a t i o n between th e f a c t o r common to a l l sen so ry d is c r im in a tio n s and th e f a c t o r common to i n t e l l e c t judged in th e se th r e e ways i s , from o u r d a ta , n o t 1 .0 0 , tout .2 2 ." T^ey co n cluded, a l s o , th a t " In g e n e ra l th e re i s e v i dence o f a complex s e t of toonds betw een th e p s y c h o lo g ic a l eq u i v a le n ts o f tooth what wc c a l l th e fo rm al s id e o f thought and what we c a l l i t s c o n te n t, so t h a t one i s alm ost tem pted to r e p la c e S pearm an'8 sta te m e n t toy th e e q u a lly e x tra v a g e n t one th a t th e re i s n o th in g w h atev er common to a l l m ental f u n c tio n s , o r to any h a l f o f th a n ." Simpson (6 4 ), a s tu d e n t o f T horndike, gave to two groups o f s u b je c ts f i f t e e n s e p a ra te t e s t s , m easu rin g th e s ix d i f f e r e n t m ental a b i l i t i e s o f sen se d is c r im in a tio n , m o to rc o n tr o l, e f f ic ie n c y in p e r c e p tio n , e f f ic ie n c y in a s s o c ia tio n , memory and a b s tr a c tio n . He con clu d ed from th e r e s u l t s th a t "Ytfe f in d no j u s t i f i c a t i o n f o r th e view th a t 'g e n e r a l i n t e l l i g en ce' i s to toe e x p la in e d on th e b a s is of a h ie ra r c h y o f m en tal f u n c tio n s , th e amount o f c o r r e l a t i o n in each c a se toeing due to th e degree of c o r r e c tio n w ith a common c e n t r a l f a c t o r ." B onser (1 0 ), a n o th e r o f T h o rn d ik e 's s tu d e n ts , g o t s im ila r r e s u l t s . McCall (3 7 ), a lso a Thorndike s tu d e n t, i n t e r c o r r e l a t e d e d u c a tio n a l t e s t s , g ra d e s , te a c h e r and s tu d e n t r a t i n g s , com prehension o f p ro v erb t e s t s , and so f o r t h , and o b ta in e d c o r r e l a t i o n c o e f f i c i e n t s 12 o f from - .6 3 to .9 8 . His g e n e ra l c o n c lu sio n was th a t th e " . . . c o r r e l a t i o n between columns o f c o r r e l a t i o n a l c o e f f i c i e n t s does not c o rro b o ra te Spearm an's im p o rtan t 'Theorem o f th e Uni v e rs a l U n ity o f I n t e l l e c t i v e J u n c t i o n . '" He a ls o s ta t e d in c o n c lu sio n t h a t " . . . in no way can a c o r r e l a t i o n ta b le be so c o n s tru c te d from our c o e f f i c i e n t s as to s a t i s f y B u r t 's 'H ie ra rc h y o f th e S p e c ific I n t e l l i g e n c e s . " 1 In o p p o s itio n to th e s e th e o r i e s , Spearman, to g e th e r w ith h is s tu d e n ts , conducted a s e r ie s o f e x p erim en ts, th e r e s u l t s o f which c o n tro v e rte d th o se of T horndike. In o n e , Spearman and K rueger (70) o b ta in e d c o r r e l a ti o n s anong touch d is c r im in a tio n , tone d is c r im in a tio n , ad d in g , le a r n in g numbers by h e a r t , an d Ib'Dinghaus ' M u tila te d Tejit. T h eir c o n c lu sio n was th a t th e s iz e o f th e d if f e r e n t p o s itiv e c o r r e l a ti o n s was to be e x p la in e d on th e b a s is o f the degree o f co n n ec tio n w ith a h y p o th e tic a l common c e n tr a l f a c t o r . In an o th er ex p erim en t, Spearman and H art (71) s u b je c te d to a n a ly s is by a new te ch n iq u e ( th e i n t e r columnar c o r r e l a t i o n , c a l le d " c o r r e la tio n o f c o r r e la tio n " by Thorndike (d) ) th o se exp erim en ts which were r e p o r te d a s r e f u ti n g S pearm en's th e o ry . In clu d e d in th e a n a ly s is were th e s tu d ie s by Brown, T horndike, Ley and Dean, and B onser. Sub s t a n t i a t i o n of th e Spearman th e o ry was con clu d ed a s a r e s u l t (d) F o reru n n er to th e l a t e r t e t r a d m ethod. 13 o f th e a n a ly s is . In s t i l l a n o th e r in v e s t ig a t io n , Spearman (67) su b jected . Sim pson's r e s u l t s to t h i s newer tre a tm e n t and s t a t e d , a s a consequence, th a t " . . . th e n e t r e s u l t , th e r e f o r e , o f ap p ly in g th e new e x a c t method in a p e r f e c t l y p l a i n and im p a rtia l manner to the ex p erim en tal d a ta o f Simpson and Thorndike i s a com plete c o n firm a tio n of th e th e o ry of two f a c t o r s . The oppo s i t e c o n c lu sio n a r r iv e d a t by th e c e in v e s t ig a t o r s them selves p ro v e s to have been m erely an i l l u s o r y p ro d u c t of th e o ld e r d e f e c tiv e m ethods, and to v a n ish on removal o f th e d e f e c ts ." S ta te d more sim ply by Spearman (6 8 ), the tw o -fa c to r th e o ry claim e d th a t "In any p a r t i c u l a r i n t e l l e c t u a l perform ance, th e r e a r e two f a c t o r s a t w ork. The one i s a s p e c if i c a b i l i t y f o r th e perform ance in q u e s tio n , w ith a l l i t s p a r t i c u l a r f e a t u r e s . The second i s 'g e n e r a l a b i l i t y . 1 W hile th e range o f th e s p e c if i c f a c t o r i s ex ceed in g ly narrow , t h a t o f th e g e n e ra l (g ) f a c t o r i s u n i v e r s a l ." I t seemed alm ost in e v ita b l e , a c c o rd in g to the ex p erim en tal c irc u m sta n c e s, th a t th e se two extrem e sch o o ls should m odify t h e i r p o s itio n s . F i r s t of a l l , th e re w ere the in c o n s is te n c ie s in th e r e s u l t s which ap p eared w ith in each group. For in s ta n c e , Spearman g o t group o r o v erla p p in g f a c t o r s in a d d itio n to h i s g e n e ra l and s p e c if i c f a c t o r s . The group f a c t o r s a r e in te rm e d ia te between th e s p e c if ic and g e n e ra l f a c t o r s . A ccording to Spearman, "O v erlap p in g s p e c if ic f a c t o r s h»ve s in c e o f te n been spoken o f 14 a s 'g ro u p f a c t o r s . ' They may be d e fin e d a s th o se which o c c u r in more th a n one b u t l e s s th a n a l l o f any g iv e n s e t o f a b i l i t i e s . Thus, th e y in d ic a te no p a r t i c u l a r c h a r a c te r s in any c f th e a b i l i t i e s th e m selv es, b u t o n ly some k in s h ip betw een th o s e w hich happen to be ta k e n to g e th e r in a s e t . Any elem ent w h atev er in th e s p e c if ic f a c t o r o f an a b i l i t y w i l l be tu rn e d in to a group f a c t o r , i f t h i s a b i l i t y i s in c lu d e d in th e same s e t w ith some o th e r a b i l i t y which a ls o c o n ta in s t h i s elem en t. The m ost t h a t can be s a id i s th a t soma elem en ts hAve a b ro a d e r range th a n o th e r s , and th e r e f o r e a r e more l i k e l y to p la y th e p a r t o f group f a c t o r s ." (e ) M oreover, Spearman l a t e r re co g n ized th e e x is te n c e of fo u r o th e r g e n e ra l f a c t o r s in a d d itio n to g - a c o r c le v e r ness f a c t o r ; a w o r w i l l f a c t o r ; a f a c t o r th a t " . . . a p p e r ta in s to the o s c i l l a t i o n s o f m e n tal e f f ic ie n c y ( th e s e b e in g p ro b a b ly m a n ife s ta tio n s o f f a t i g u e ) ; " a f a c t o r r e l a t e d to m ech an ical a b i l i t y ( " i n s t i n c t to p la y w ith m echanical to y s " ) . On th e o th e r hand, Thorndike and h is c o lla b o r a to r s got r e s u l t s which com pelled them to make c e r t a in co n c e ssio n s inth e d ir e c tio n of Spearman. As exam ples, one may c i t e a few comments from Thorndike and h i s co -w o rk ers. Simpson (63) (e ) Among th e group f a c t o r s p o s ite d by Spearman a r e ; l o g i c a l , m ech an ical, a r it h m e t ic a l , s o c ia l and g e o m e tric a l a b i l i t i e s , m u sical a p p r e c ia tio n , r e a c tio n - tim e , v is u a l- a u d ito r y im agery, g e n e ra l m em o risatio n , s e n so ry , v e rb a l and n o n -v erb al sym bolic memory. 15 re p o r te d th a t th e r e was found to be " . . . j u s t i f i c a t i o n f o r th e common assum ption th a t th e re i s a c lo s e i n t e r - r e l a t i o n among c e r t a i n m ental a b i l i t i e s , and c o n seq u en tly a som ething t h a t may be c a l l e d ‘g e n e ra l m en tal a b i l i t y ’ o r ‘g e n e ra l i n t e l l i g e n c e ; ' and th a t on th e o th e r hand c e r t a i n c a p a c it ie s a r e r e l a t i v e l y s p e c ia liz e d and do not n e c e s s a r ily im ply o th e r a b i l i t i e s ex cep t to a v ery li m ite d e x te n t." McCall (38) s t a t e d th a t th e re i s an " . . . o b je c tiv e ly and p r a c t i c a l l y m easurable som ething, w hich c o n s t i t u t e s the co re o f m ost a p t itu d e s . I t i s o v e r la id w ith v a rio u s in c id en ta l! a b i l i t i e s , and f u r th e r e d o r r e ta r d e d by em o tio n al o r p h y s ic a l c h a r a c t e r i s t i c s o f th e in d iv id u a l." W ith r e g a rd to T horndike, he in d ic a te d a s f a r back a s 1914 (81) te n d e n c ie s tow ard a m o d ific a tio n in h is th e o ry . At t h i s tim e he began to reco g n ize th r e e m en tal le v e ls of s e n s i t i v i t y , a s s o c ia tio n and a n a l y s i s . These l e v e l s were s im ila r to th e group f a c t o r s in th a t t e s t s of th e same fu n c tio n o r l e v e l w ould be ex p ec ted to c o r r e l a t e more c lo s e ly th a n t e s t s o f d if f e r e n t m ental l e v e l s . In a l a t e r r e p o r t, Thorndike (82) o b ta in e d th e c o r r e l a t i o n s among many of th e army t e s t s , in c lu d in g v e rio u s t e s t s o f in t e l l i g e n c e , manual and m ech an ical a b ility , ^e concluded th a t th e r e s u l t s were " . . . o b v io u sly in b e t t e r agreem ent w ith th e view s of Thomson, th e q u d if ie d s ta te m e n ts o f Spearman in th e 1912 p a p e r w ith H art, and th e 16 s ta te m e n ts of th e a u th o r (1914) th a n w ith a r i g i d , u n q u a lif ie d form of Spearman’ s d o c tr in e ." He s t a t e d f u r th e r th a t th e c a s e s " . . . su g g est t h a t a 'num bers a s c o n te n t1 f a c to r and a 's p a t i a l r e la tio n s as c o n te n t' f a c t o r a c t in a fa s h io n midway betw een n e a rly com plete g e n e r a lit y and n e a r ly a b s o lu te s p e c i f i c ness. 1 b e lie v e th a t su g g e stio n s o f f a c t o r s r e f e r r in g to th e 'fo rm ' o f c o g n itiv e p erform ances such a s 't o keep in mind f o r a lo n g tim e ' o r 't o u t i l i z e a la r g e amount o f co n te n t to g e th e r f o r one p u r p o s e ,' o r 't o b reak up a g ro s s t o t a l co n te n t in to e le m e n ts’ w ill sp p eer in a c im ile r way in th e c o r r e l a ti o n s , p a r t i a l c o r r e l a ti o n s , and c o r r e l a ti o n s o f th e c o r r e la tio n s o f c o g n itiv e p erfo rm an ces." Then a g a in , th e work of b o th groups was so p r o l i f i c , in te n s e and co n v in cin g a s to conduce c e r t a i n stro n g doubts a g a in s t a dogmatic s ta n d , Most im p o rta n t, however, was th e re s e a rc h of th e presum ably u n p re ju d ic e d w orkers such a s Thomson. Thomson (75) was a b le to d em o n strate ac c o rd in g to h is famous d ic e -th ro w in g ex p erim en ts th a t h ie r a r c h ie s o f co rrelatio n co e f f i c i e n t s s im ila r to th o se o b ta in e d by Spearman a s c o n c lu siv e evid en ce f o r a g e n e ra l f a c t o r co u ld a ls o be o b ta in e d when a common o r g e n e ra l f a c t o r was n o t known to be p r e s e n t. *n l a t e r p a p e rs (76 , 77 , 78) he p r e s e n te d two v e ry im p o rtan t p o in t s . The f i r s t was th a t n o th in g b u t a p e r f e c t h ie ra rc h y o f c o r r e l a ti o n s c o u ld be a c a e p te d a s p ro o f o f a g e n e ra l f a c t o r , and, seco n d ly , 17 th a t in te rm e d ia te betw een th e g e n e ra l and s p e c if i c f a c t o r s w ere the q u a s i-g e n e ra l o r group f a c t o r s . H ull (31) in tu r n ad v o cated a fo u r th im p o rtan t th e o ry re g a rd in g th e n a tu re o f a b i l i t i e s . He s t a t e d th a t "The w r i t e r 's view of th e c o n s t i t u t i o n of a p titu d e s and t e s t s may b e s t be c h a r a c te r iz e d a s a s t r i c t g ro u p -fp c to r th e o ry . I t a g re e s w ith Thomson in n o t assum ing any u n iv e r s a l f a c to r o r d e te rm in e r ru n n in g th ro u g h a l l p o s s ib le human a c t i v i t i e s . I t d i f f e r s , on th e o th e r hand, n o t o n ly from Spearman and Thorndike, b u t from Thomson a s w e ll, in r e j e c t i n g s p e c if ic o r u n ique f a c t o r s . As to th e u n iv e r s a l f a c t o r , i t may be re g ard ed a s d o u b tfu l w hether Spearman h im se lf h a s e v e r b e lie v e d h i s g e n e ra l f a c t o r to be a c o n s titu e n t o f ev ery p o s s ib le a p titu d e o r a b i l i t y . He seems r a th e r to l i m i t i t to th o se a c t i v i t i e s which a re ' i n t e l l e c t u a l 1. For example, he rem arks t h a t ' a l l branches o f i n t e l l e c t u a l a c t i v i t y have in common one fundam ental f u n c t i o n . 1 ( i t a l i c s H u l l 's ) . I t i s q u ite o b v io u s, of c o u rs e , th e t i f th e re were numerous noi>i n t e l l e c t u a l a c t i v i t i e s w hich did n o t in v o lv e t h i s g e n e ra l i n t e l le c t u a l f a c t o r , th e l a t t e r w ould a c tu a lly be n o th in g more th a n a w id e-ran g e group f a c t o r so f a r a s a r e a l l y com prehensive th e o ry o f a p titu d e s i s con cern ed . In re g a rd to the s p e c if i c f a c t o r s i t may be s a id t h a t i f we assume even a s in g le unique f a c t o r o r de te rm in e r to be in v o lv ed in each o f th e m u ltitid in o u s a c t i v i t i e s th a t a human b ein g i s c a p a b le of p erfo rm in g , i t would im ply a p r o d ig a l it y o f s p e c ia l o rg a n ic mechanisms q u ite out o f harmony 16 w ith what we know o f b io lo g ic a l economy. M oreover, once group f a c t o r s have been p o s tu la te d , th e r e seems no p a r t i c u l a r re a so n f o r assum ing th e e x is te n c e of s p e c if ic f a c t o r s ." The re s e a r c h in m en tal a b i l i t i e s c o n tin u e d alo n g th e g e n e ra l d ir e c tio n o f su p p o rtin g o r r e p u d ia tin g any one o f th e s e fo u r th e o r i e s , t h a t i s to say , th e th e o r ie s o f T horndike, Spearman, Thomson, o r H u ll. In the m ain, however, m ost s tu d ie s were d ir e c te d a lo n g th e more sim ple l i n e s of c o r r e l a ti n g t e s t s of in t e ll ig e n c e w ith some s p e c ia l t e s t of a b i l i t y such a s m u sical o r m echanical a b ility . A nother s im ila r approach was to c o r r e l a t e th e t e s t and s u b - te s ts w hich presum ably m easured th e same a b i l i t y . S in ce th e se re p r e s e n te d th e tr e n d , p a r t i c u l a r l y from th e W orld War p e r io d on, th e most im portant o f th e se re s e a rc h e s a r e n s re c o n s id e re d . The stu d y of m u sic al a b i l i t y c o n s is te d m ainly o f s tu d ie s of th e r e la tio n s h ip s between m u sical a b i l i t y and in t e l l i g e n c e , in c lu d in g school achievem ent. In alm ost a l l o f th e in v e s tig a tio n s th e te c t s of m u sic al a b i l i t y u se d vsrere th e Seashore M easures of M usical T a le n t. M u rsell (47) ta b u la te d m ost of th e im p o rtan t re s e a rc h e s on th e r e la tio n s between t e s t s o f in t e ll ig e n c e and th e Seashore t e s t s . I t can be seen from h is ta b le th a t alm ost a l l th e c o r r e l a ti o n s a re p o s i t i v e . The range is from - .3 8 between Consonance and Thorndike I n te l li g e n c e T est to .58 between P itc h and Terman Group and T hurstone P sy c h o lo g ic a l E xam inations. The p r e s e n t w r i t e r av era g ed a l l th e c o r r e l a ti o n c o e f f i c ie n t s to f i n d an averag e r o f .15 betw een i n t e ll ig e n c e t e s t s and music t e s t s . T h is ig c o n s id e ra b ly 19 low er th a n th o se c a se s where a v e ra g e s were r e p o rte d f o r th e co r r e l a t i o n between th e t e s t s o f m usic and in t e l l i g e n c e . The r e la tio n s h ip s among th e components of m u sic al a b i l i t y o f f e r e d an o th er approach to th e a n a ly s is of m u s ic a lity . Seashore (61) seem ingly was th e f i r s t to an aly ze m u sical a b i l i t y in t h i s fa s h io n ’"hen he s tu d ie d th e c o r r e l a ti o n s o f sev en teen v a r ia b le s which were c o n s id e re d r e l a t e d to m u sical a b i l i t y . A ll th e re p o rte d c o r r e l a ti o n s w ere g e n e r a lly low . I t w ould ap p ea r th a t th e r e s u l t s o b ta in e d se rv e d a s th e b a s is upon which Seashore developed h i s "M easures o f M usical T alen t" in 1919, th e y e a r fo llo w in g . That m u sic al a b i l i t y i s a c o n g e rie s of s e p a ra te t a l e n t s , s ix o f which a r e most im portant and th e r e by in c lu d e d in h is m easu res, se rv e d a s th e fundam ental p h ilo so p h y in t h e i r c o n s tr u c tio n , ( f ) Brown (1 1 ), Such and S to d ’a rd (5 6 ), M u rsell (4 8 ), and Drake (21) i n t e r c o r r e l a t e d th e s c o re s of th e Seashore t e s t s . These r e s u l t s a re p re s e n te d in ta b le VII (p . 9 2 ) . Drake p e r form ed a tw o -fa c to r a n a ly s is of e ig h t t e s t s , in c lu d in g f iv e o f th e Seashore t e s t s , and found one common f a c t o r p lu s f iv e ad d it io n a l group f a c t o r s . Manzer and llaro w itz (39) gave th e Ewalwasser-Dykema t e s t s to c o lle g e s tu d e n ts and concluded from (f) Seashore haB more r e c e n tly g iv e n ev id en ce o f d e v ia tin g from h i s e a r l i e r atomism. His p re s e n t p o s iti o n , however, in d i c a te s u n w illin g n e s s to abandon co m p letely th e e a r l i e r a t t i t u d e . 20 th e v ery low, n lth o u g h p o s iti v e i n t e r c o r r e l a t i o n s (ran g e from .0C0 to .3 6 8 ), th a t m u sical a b i l i t y was a complex o f s e p a ra te a b ilitie s . In "The A b i l i t i e s o f Man," Spearman re p o rte d th a t " th e a b i l i t i e s to a p p r e c ia te , f o r in s ta n c e , th e r e l a t i o n s o f p i t c h , lo u d n e ss, and rhythm have extrem ely low i n t e r c o r r e l a t i o n s ; no more, in f a c t , th a t must be a t t r i b u t e d to g a lo n e ." C a r r o ll (16) m easured th e r e l a t i o n s among th e Hevner Music A p p re c ia tio n T e st, th e M eier-S eash o re A rt Judgment T e s t, and the C a r r o ll P ro se A p p re c ia tio n T e s t. The c o n c lu sio n was th a t th e i n t e r c o r r e l a t i o n s 11 . . . in d ic a te s tr o n g ly th a t th e r e la tio n s h ip e x i s t in g among th e c a p a c it ie s to a p p r e c ia te a r t , l i t e r a t u r e and m usic i s v e ry s l i g h t . L ite r a t u r e and a r t show a somewhat g r e a te r ten d en cy to v a ry to g e th e r then do li te r a t u r e * and m usic, o r a r t and m u sic ." Morrow (45) gave f iv e of th e most r e l a i b l e Kwalwasser-Dykema Music T e s ts , th e M eier-S eashore and Lewerens A rt t e a t s , and th e S te n q u is t M echanical P ic tu r e T e st No. I I to c o lle g e s tu d e n ts . The i n t e r c o r r e l a t i o n s and f a c t o r a n a ly s is re v e a le d no o u ts ta n d in g r e l a t i o n s between th e music t e s t s and th e t e s t s o f th e o th e r a b i l i t i e s . The i n t e r c o r r e l a t i o n s among th e m usic t e s t s th em selv es were r a th e r low. The T hurstone c e n te r o f g r a v ity f a c t o r i a l a n a ly s is in d ic a te d th e p re se n c e o f a s o - c a lle d group f a c t o r f o r th e m u rir t e s t s . group f a c t o r s were m a n ife s te d . O ther I t was shown th a t th e t e s t s of a r t i s t i c a b i l i t y andm echarical a b i l i t y w ere more c lo s e ly i n t e r r e l a t e d th an th e t e s t s of th e o th e r a b i l i t i e s . There was con s id e r a b le o v erla p p in g in d ic a te d in th e c o r r e la tio n s and th e 31 f a c t o r lo a d in g s . The s tu d ie s of a r t i s t i c a b i l i t y were e s s e n t i a l l y l i k e the ex p erim en ts in m u sic al a b i l i t y . As exam ples, E ld e rto n (22) c o r r e l a te d draw ing a b i l i t y w ith i n t e l l i g e n c e , g rad es in school s u b je c ts , m anual t e s t s , and c h a r a c te r r a t i n g s . The h ie r a r c h ie s of i n t e r c o r r e l a t i o n s were v e ry low , th e c o e f f i c i e n t s ran g in g from .0 6 to .2 6 . The g e n e ra l c o n c lu sio n w as, n e v e rth e l e s s , th a t "Drawing i s more c lo s e ly r e la te d to g e n e ra l i n t e l l i gence th a n even th e s u b je c ts l i k e w r itin g , geography and manual w ork, more c lo s e ly a s s o c ia te d w ith th e e f f e c t i v e u se o f th e hand." Karwoski and C h riste n se n (24) c o n s tr u c te d t h e i r own t e s t o f a r t i s t i c a p p r e c ia tio n and found i t to c o r r e l a te .299 f o r g i r l s and .264 f o r boys w ith th e T h u rsto n s P s y c h o lo g ic a l T e st No. 4 . M eier (41) r e p o r te d r e s p e c tiv e c o e f f i c ie n t s o f c o r r e l a t i o n o f - .1 4 6 ^*.09 and - .0 1 8 - .0 3 , betw een th e M eier-S eash o re A rt Ju d g n en t T est an d th e Terman Group and Thorndike I n te l li g e n c e T e s ts . In c o n tr a d is tin c t i o n to t h i s , Farnsw orth and Hisumi (23) r e p o r te d a c o r r e l a t i o n c o e f f i c i e n t o f .079 - .0 6 between the M eier-S eash o re A rt Judgment and the Thorndike I n te llig e n c e t e s t s . C a r r o ll and l u r i c h (18) compared th e M eier-S eash o re and th e McAdory A rt t e s t s w ith re s p e c t to i n t e l l i g e n c e , a s m easured on th e c o lle g e le v e l by th e M ille r Ana lo g ie s T e s t, w ith r e s p e c t to g ra d e s in a r t and n o n - a r t s u b je c ts , and w ith r e s p e c t to two extrem e groups o f b r ig h t and d u ll c h ild r e n . T h eir th r e e m ain c o n c lu sio n s were t h a t , in th e f i r s t p la c e , " . . . a s t r a c t in t e l l i g e n c e has l i t t l e i f any r e la tio n s h ip w ith c r i t i c a l a b i l i t y in a r t on th e c o lle g e 22 l e v e l ; " and a l s o , " . . . a b s t r a c t in t e ll ig e n c e a t th e extrem es seems to a f f e c t a r t judgment a b i l i t y ; " an d , f i n a l l y , » . . . g i f t e d c h ild r e n a r e s u p e rio r to b o r d e r lin e c h ild r e n in a r t Judgment a b i l i t y , b u t n o t so s u p e rio r a s th e y a r e in a b s t r a c t i n t e l l i g e n c e ." B egarding th e r e l a t i o n s among th e d i f f e r e n t t e s t s of a r t i s t i c a b i l i t y , C a r r o ll (1 ?) re p o rte d a c o r r e l a t i o n c o e f f i c ie n t of .27 betw een th e McAdory and M eier-S eash o re A rt Judgm ents t e s t s . In a more in te n s iv e in v e s tig a tio n , Dewar (20) i n t e r c o r r e l a t e d th e r e s u l t s on th e McAdory A rt T e s t, the M eier-S eash cre A rt Judgment T e s t, th e B u rt-B u lle y A rt T e s t, th e B u rt P ic t u r e P o s tc a rd s A rt T e s t, a group in t e ll ig e n c e t e s t , and a r t te a c h e r s ' e s tim a te s . F a c to r a n a ly s is o f th e c o r r e l a ti o n s was p erfo rm ed by means o f th e Spearman " s a tu r a ti o n of c o e f f ic ie n ts " m ethod aid th r e e methods of f a c t o r i a l a n a ly s is d ev ised by B u rt. The c o n c lu sio n was th a t " . . . a l l th e c h ie f m ethods o f f a c to r a n a ly s is p o in t to a s in g le g e n e ra l f a c t o r a s m ainly re s p o n s ib le f o r th e o rd e rs g iv e n . Some evidence i s a ls o found f o r s p e c if ic f a c t o r s s u g g e s tiv e o f d if f e r e n t ty p e s o f a r t i s t i c a p p r e c ia tio n , a p p a r e n tly r e l a t e d to th o se f i r s t d e s c rib e d by B ullough; b u t, h e re a s else w h e re , th e s p e c if i c f a c t o r s te n d to be swamped by th e g e n e ra l f a c t o r ." Jo n e s (32) r e p o r te d a c o e f f i c i e n t of c o r r e l a ti o n o f .69 between th e a b i l i t y to draw and th e a b i l i t y to ju d g e draw ings which he c a l l e d p e rc e p tio n o f p e r s p e c tiv e . Morrow (45) confirm ed t h i s by r e p o r tin g a r e la tio n s h ip o f r 3 .4 8 between th e a b i l i ty to judge a r t , a s m easured by th e M eier-S eash o re A rt Judgment 23 T e st and o r ig i n a l o r c r e a tiv e a b i l i t y in a r t , a s m easured by th e O r ig in a l it y of Line Drawing T est of th e Lewerenz T e s ts in Fundam ental A b i l i t i e s of V isu al A r t. The r e la tio n s h ip between draw ing a b i l i t y and in t e l l i g e n c e h a s lo n g been o f i n t e r e s t to the p s y c h o lo g is t. B in e t, f o r in s ta n c e , reco g n ized th e p o s s i b i l i t y f o r such a r e la tio n s h ip and in c lu d e d two draw ings in h is s c a le , th e sq u are a t th e f o u r th y e a r and th e diamond in th e se v e n th . That Teiman a g re e d w ith t h i s p r i n c i p l e i s ap p aren t in th e in c lu s io n o f th e s e item s in th e r e v is io n s o f th e t e s t . Goodenough was in s im ila r agreem ent when she e la b o r a te d th e t h e s i s th a t the a b i l i t y of c h ild r e n to draw was a m easure of t h e i r g e n e ra l in t e l l i g e n c e and n o t a m easure o f a r t i s t i c a b i l i t y . Tj-i8 p h ilo so p h y s e rv e d a s th e b e s is upon w hich she c o n s tru c te d th e famous "Drawing A Man" S cale o f I n te llig e n c e (2 6 ). A more r e c e n t stu d y o f th e r e la tio n s h ip between drawing a b i l i t y and i n t e l l i g e n c e was conducted by M ille r (4 3 ). A s e r ie s of tw enty draw ings was c o n s tr u c te d and g iv e n to 100 c h ild r e n in each g rad e (w ith age c o n s ta n t) from th e p re -s c h o o l th ro u g h th e sev en th . Average c o r r e l a t i o n s o f .7 5 , .7 2 , and .69 were fou n d r e s p e c tiv e ly between t h i s s c a le and th e P in tn e r Cunningham P rim ary M ental T e st (k in d e rg a rte n and f i r s t g ra d e ), th e O tis P rim ary T est (seco n d to f i f t h g ra d e s) and th e Henman-'': e l son T e st ( s ix th to sev en th g ra d e s ). 24 The most com prehensive in v e s tig a tio n of c l e r i c a l a b i l i t y was made by Andrew (5),w ho gave to a h ete ro g e n e o u i group o f 216 women and 124 men a s e r i e s of t e s t s , in c lu d in g th e P re s se y S e n io r C l a s s i f i c a t i o n and V e r if ic a tio n T«st (vjhich m easures academ ic a b i l i t y ) , th e M innesota C le r ic a l, th e O’Connor F in g e r and Tweezer D e x te r ity T e s ts , th e p la c in g p o r tio n o f th e Minne s o ta Manual D e x te rity T e s t, th e M innesota S p a tia l R e la tio n s , th e M ichigan F e a tu re s D isc im in a tio n T e s ts , Number and L e t te r C a n c e lla tio n and S u b s titu tio n T e s ts , V e rify in g A rith m e tic and S p e llin g , Number Group Checking, and a t e s t in ad d in g . A n a ly sis o f th e i n t e r c o r r e la tio n s in d ic a te d t h a t th e range o f c o e f f i c i e n t s was from .0 0 to .8 4 . w ith an av erag e o f .2 7 , w hich in d ic a te s th e tendency f o r d e s ir a b le t r a i t s to be p o s i t i v e l y c o r r e l a te d . She concluded th e c o r r e l a ti o n a l a n a l y s i s , however, w ith th e statem en t t h a t "T his t e s t b a t te r y is m easur ing a t l e a s t fo u r r e l a t i v e l y independent f a c t o r s , th o se of academ ic, c l e r i c a l , s p a t i a l and d e x te r ity a b i l i t i e s . " (g) Andrew s u b je c te d th e i n t e r c o r r e l a t i o n s to a T h u rsto n s m u ltip le f a c t o r a n a ly s is a s w e ll a s to a Spearmraa b i - f a c t o r te tr a d a n a ly s is . Ana ly s e s were perform ed f o r a l l th e t e s t s , (g) Andrew conducted h e r re s e a rc h a t th e U n iv e rs ity o f M innesota, w here th e " th e o iy o f unique tr a itR " h a s been g iv en i t s most s tre n u o u s s u p p o rt. 25 f o r th e t e s t a which a lle g e d ly m easure c l e r i c a l a b i l i t y and f o r a. group o f d i f f e r e n t t e s t s given to a "homogeneous" p-roup of employed c le rie & l w orkers and to a "heterogeneous" group o f unemployed c l e r i c a l w o rk ers. The main fin d in g s were t h a t : (1 ) fo u r f a c t o r s a r e s u f f i c i e n t to account f o r th e c o r r e l a t i o n a l m a tr ix . The f i r s t f a c to r "seems to be m easu rin g a g e n e ra l a b i l i t y f a c t o r , one which em phasizes a b i l i t y in c l e r i c a l t e s t s . " th e second f a c t o r "seems to be m easuring speed in sim ple d is c rim in a tio n s , en a b i l i t y which i s independent o f academ ic a b i l i t y f o r t h i s g ro u p ." The t h i r d f a c t o r "may be b e s t d e s c rib e d a s a s p a t i a l a b i l i t y f a c t o r " , and th e f o u r th f a c t o r " i s e v id e n tly speed in m otor a b i l i t y . " (2) C le r ic a l a b i l i t y i s a s p e c if i c o r u n iq u e a b i l i t y ?/hich i s r e l a t i v e l y independent o f s p a t i a l , academ ic, and d e x t e r ity a b i l i t i e s , each o f which i s in i t s own re s p e c t a s p e c if ic a b i l i t y . (3 ) M u ltip le f a c to r a n a ly s is in d ic a te s t h a t a common f a c t o r runs through a l l of th e t e s t s and, in a d d itio n , th e r e a r e m inor group f a c t o r s . In th e a n a ly s is of m echanical a b i l i t y , P e r r i n 's e a r l y re s e a rc h (53) is im p o rtan t and m e rits c o n s id e r a tio n . M echanical a b i l i t y and m otor a b i l i t y were th o u g h t to be synonymous a t th a t tim e, (h) P e r r i n gave th r e e "complex" and fo u rte e n "sim ple" m otor t e s t s to 51 u n iv e r s i ty s tu d e n ts . The re p o rte d i n t e r - (h ) The problem o f th e i n t e r - r e l a t i o n s h i p betw een m echanical a b illity is s t i l l d eb ated as can be d is c e rn e d from a stu d y o f th e lite ra tu re . and motor I 26 c o r r e la tio n s among a l l th e sim p le, a l l th e com plex, and. the sim ple and complex t e s t s w ere r a th e r low. The c o r r e l a ti o n s w ith the Army Alpha I n te l li g e n c e T e st, g rad es and c h a r a c te r r a tin g s were s im i la r l y low . P e r r in , th e r e f o r e , concluded th a t "Motor a b i l i t y i s n o t g e n e r a l, but th a t i t is somewhat d e f i n i t e l y s p e c ia liz e d ." In c o n tr a s t to t h i s , C a rte r (19) i n t e r c o r r e l a t e d e ig h te e n v a r ia b le s , in c lu d in g s e v e r a l d if f e r e n t m ech an ical a b i l i t y t e s t s as w e ll as t e s t s o f p h y s io lo g ic a l and i n t e l l e c t u a l a c t i v i t y , g ra d e s, i n t e r e s t in v e n to r ie s , and perform ance in shop work. The c o r r e la tio n c o e f f i c i e n t s and t e t r a d a n a ly s is cau sed C a rte r to conclude t h a t "The w r i t e r b e lie v e s th e re i s no g e n e ra l f a c t o r o f m echanical a b i l i t y ; n e ith e r a re m ech an ical a b i l i t i e s as m easured by th e se t e s t s co m p letely s p e c i f i c , in s te a d th e re i s g r e e t p r o b a b il it y th a t th e re a r e group f a c t o r s w hich over la p . These r e s u l t s a re c l o s e l y in acco rd w ith th e th e o ry o f Thomson." One of th e most com prehensive in v e s tig a tio n s of a s in g le a b i l i t y was th e M innesota stu d y o f m ech an ical a b i l i t y te s ts . The a u th o rs , P a te rs o n , E l l i o t t , A nderson, Toops, and H eid b red er, (51) r e s t r i c t e d th e term m otor a b i l i t y " to r a th e r sim ple fu n c tio n s o f i s o l a t e d m uscles o r m uscle g ro u u s;" whereas th e term m echanical a b i l i t y was a p p lie d to "w hatever c a p a c itie s and a b i l i t i e s a r e n e c e ssa ry f o r c e r t a in k in d s of work - sp e c i f i c a l l y , work th a t in v o lv e s th e m a n ip u latio n of t o o l s , the o p e ra tio n of m ach in ery , and th e p lan n in g and e x e c u tio n o f 27 p ie c e s o f work which in v o lv e th e s e and s im ila r a c t i v i t i e s . " In t h i s stu d y , th ey c o n s tru c te d , v a lid a te d and found r e l i a b i l i t i e s f o r d i f f e r e n t a s p e c ts o f m ech an ical a b i l i t y . On t h i s b a s is , o ld e r t e s t s w ere improved or r e v is e d and new ones c o n s tru c te d . In th e p re lim in a ry p o r tio n s th e y c o r r e l a t e d such f a c t o r s as i n t e ll ig e n c e t e s t s c o r e s , g rp d ss, age. economic and s o c ia l f a c t o r s , a t t i t u d e s and i n t e r e s t s , and so on. Zero o rd e r, p a r t i a l and m u ltip le co r r e l a t i o n s were u sed , and th ey co n clu d ed from th e r e s u l t s th a t "M echanical a b i l i t y , a s m easured by th e perform ance b a t t e r i e s , was found to be unique w ith r e s p e c t to in t e ll ig e n c e and a ls o w ith r e s p e c t to motor a g i l i t y , when th e f a c t o r s o f age and w eig h t, w hich a r e p o s iti v e ly c o r r e l a t e d w ith m otor a g i l i t y , a re h e ld c o n s ta n t. Thus, th r e e m easures o f a b i l i t y u t i l i z e d in t h i s re s e a rc h - m echcnical a b i l i t y , m otor a b i l i t y , and in t e ll ig e n c e f u l f i l l reaso n ab ly w e ll +>>e req u ire m e n ts of u n iq u e t r c i t s . " I t was ir. t h i s study by th e M innesota group t h a t th e th e o ry o f unique t r a i t s ( i ) re c e iv e d i t s s p e c if ic fo rm u la tio n . A t r a i t is judged u n ique when i t m eets two s t a t i s t i c a l r e q u ir e m ents. A.s s ta t e d by th e se in v e s t ig a t o r s , th e c r i t e r i a a r e : " f i r s t , th e t r a i t a s te s t e d must c o r r e l a te p o s iti v e ly w ith a t l e a s t one c r i t e r i o n o f human en d eav o r. Second, i t must g iv e c o r r e l a ti o n s as low a s p o s s ib le w ith a l l o th e r u n iq u e t r o u t s . ( I ) The w r ite r p r s f e r s not to U3e th e term "unique t r a i t s " and p r e f e r s in i t s p la c e th e e x p re s s io n "in d ep en d en t a b i l i t i e s " be cause o f th e co n fu sio n which o f te n accom panies th e words "unique" and " t r a i t s . " The w r i t e r h a s , a l s o , atte m p te d to a v o id w herever p o s s ib le such term s a s a p t itu d e , c a p a c ity , u n ite .ry , e t c . , f o r s im ila r re a s o n s . P o s iti v e c o r r e l a ti o n s w ith th e c r i t e r i o n show th a t th e t e s t in q u e s tio n m easures what i t p u r p o r ts to m easure; th a t th e r e i s some corresp o n d en ce "between th e t r a i t as te s t e d and th e c r i t e r i o n to which i t i s r e f e r r e d ; in f a c t th e t r a i t i s i d e n t i f i e d and d e fin e d in term s o f th e c r i t e r i o n w ith w hich i t g iv e s h ig h p o s iti v e c o r r e l a t i o n . o th e r t r a i t s mean t h a t On th e o th e r hand, low c o r r e l a ti o n s w ith he t e s t i n q u e s tio n i s m easuring th e p a r t i c u l a r t r a i t i t a tte m p ts to m easure r a th e r th a n som ething e l s e , th a t th e t e s t has s u c c e s s f u lly i s o l a t e d th e t r a i t in q u e s tio n ; in o th e r w ords, th a t th e t r a i t i s unique w ith r e s p e c t to o th e r s . To sum up th e m a tte r , p o s iti v e c o r r e la tio n s w ith the c r i t e r i o n t e l l what the t r a i t i s ; low c o r r e l a ti o n s w ith o th e r t r a i t s show th a t i t h as been s u c c e s s f u lly d is e n ta n g le d from i t s n o n - e s s e n tia l co n co m ita n ts." Murphy (46) gave to 143 n in th -g ra d e boys f iv e p a r t s of th e German Group T est of M ental A b ili ty , the Kuhlnan-Anderson I n te l li g e n c e T e st ( t e s t no. 3 2 ), th e K evised Army B eta, th e L ik e r t and Quasha R evised M innesota P ap er Form B oard, th r e e p a r t s o f th e MacQ.uar r i e T est o f M echanical A b ili ty , and two p a r t s o f th e D e tr o it M echanical E xam ination f o r Boys. The Terman and Kuhlman-Anderson were v e rb a l t e s t s ; th e Army B eta n o n -v e rb a l; th e o th e rs t e s t e d m echanical a b i l i t y . She o b ta in e d th re e f a c t o r s , which a f t e r r o t a t i n g the axes were c a lle d " . . . a f a c t o r dependent on th e m ental m a n ip u la tio n o f r e l a t i o n sh ip s e x p re sse d sy m b o lic a lly ; a f a c t o r c a l l i n g f o r speed o f hand-eye c o o rd in a tio n ; and a f a c t o r dependent upon th e m en tal m a n ip u la tio n s o f s p a t i a l r e l a t i o n s . " I t was found, to o , th a t "The n o n -v erb al in t e l l i g e n c e t e s t u sed , th e K evised B eta Examina t i o n , i s m easuring th o se t r a i t s w hich the m ech an ical a p titu d e t e s t s m easure r a th e r th a n th e t r a i t which the v e r b a l t e s t s a re m easu rin g ." Most im p o rtan t of th e f in d in g s , however, was th e f a c t th a t " I t was d is c lo s e d th a t the t r a i t w hich hasbeen c a l le d m ecnanical a b i l i t y i s n o t a u n it a r y t r a i t , b u t r a th e r a complex o f t r a i t s B and C." That is to say, th e hand-eye c o o rd in a tio n f a c to r and th e s p a t i a l f a c t o r a re th e ones th a t a r e r e f e r r e d to . Buxton (15) a d m in is te re d t h i r t e e n t e s t s o f d i f f e r e n t ty p e s o f m otor a b i l i t y - r o t o r , cube, and spool p ack in g , t h r u s t ing and s ta t io n a r y s te a d in e s s , t r i p l e , tw o-bar ta p p in g an d w r i s t t a r n ta p p in g , snd m o t i l i t y and p u r s u it r o t o r . A T hurstone c e n te r of g r a v ity f a c t o r i a l a n a ly s is o f the i n t e r c o r r e l a t i o n s y ie ld e d s ix f a c t o r s , o f w hich o n ly th re e were s i g n i f i c a n t . C e r ta in narrow group f a c t o r s w ere o b ta in e d b u t i t was n o t p o s s ib le from the r e s u l t s to prove o r d isp ro v e th e e x is te n c e o f a g e n e ra l f a c t o r (o r f a c t o r s ) in m otor a b i l i t y . On the o th e r hand, M orris (44) gave to 56 n in e -y e a r o ld boys 34 d if f e r e n t perform ance t e s t s o f m ental a b i l i t y , in c lu d in g common t e s t s o f i n t e l l i g e n c e , m echanical a b i l i t y and manual d e x t e r ity . Of th e 77 v a r ia b le s w hich were in c lu d e d in th e 34 t e s t s , o n ly 33 were chosen a f t e r th e i n t e r c o r r e l a t i o n s f o r th e f a c to r ia l a n a ly s is . These v a r ia b le s were most d is c r im in a tiv e and f r e e from obvious co n tam in a tio n by o th e r f a c t o r s . He o b ta in e d fo u r f a c t o r lo a d in g s and e lim in a te d one a f t e r r o t a t i o n . These were " . . . an a b i l i t y which r e q u ir e s th e p e r c e p tio n o f f o r a and space r e l a t i o n s ; th e a b i l i t y to make a q u ick i d e n t i f i c a ti o n o f sim ple p e rc e p tu a l m a te r ia l when m ixed w ith li k e or s im ila r m a te r ia l; and the a b i l i t y to d is c o v e r a o a tte r n o r r u l e o f p ro c e d u re . These t r a i t s have been p r e v io u s ly d e s c rib e d in s im ila r term s by T hurstone an d i d e n t i f i e d by him a s V is u a liz in g , P e rc e p tu a l Speed and In d u c tio n , r e s p e c tiv e ly ." He con c lu d ed , m oreover, th a t " th e p resen ce o f a g e n e ra l f a c t o r in th e c o r r e l a t i o n a l m a trix was not d is c lo s e d ." H a r r e ll (27) gave a b a t te r y o f in d iv id u a l and group t e s t s o f m echanical a b i l i t y to 91 c o tto n m i ll m achine f i x e r s . The T h u rsto n e c e n tr o id f a c t o r a n a ly s is y ie ld e d f i v e f a c t o r s , which he la b le d p e rc e p tio n of d e t a i l ( P ) , v e rb a l r e l a t i o n s (V ), v is u a l iz i n g s p a t i a l r e l a t i o n s ( S ) , manual a g i l i t y (A ), and y'u ith (Y ). The su rv ey of re s e a rc h in in t e ll ig e n c e m ust o f n e c e s s ity be c o n fin e d to th o se in v e s tig a tio n s which a re p e r tin e n t to th e problem c o n s id e re d in th e p re s e n t stu d y . As h as a lre a d y been in d ic a te d , the e a r l i e r re s e a rc h e s were conducted m ainly by T horndike, Spearmen and t h e i r c o lle a g u e s . The l a t e r s tu d ie s c o n tin u e d to be s u b s ta n tia tio n s o r r e f u t a t i o n s o f th e m u ltif a c t o r th e o ry o f T horndike, o r th e tw o -fa c to r th e o ry of Spearman, ( j ) In most in s ta n c e s , th e o r i e n t a t i o n rem ained th e same, w h ile th e ( j ) Spearman m d d ifie d h i s th e o ry to in c lu d e group f a c t o r s in a d d itio n to th e g e n e ra l and s p e c if ic f a c t o r s . 31 a d d itio n o f new m a te r ia ls and new tech n iq u es "brought to a sharper fo c u s the c o n flic t? , among th e se t h e o r ie s . T^ua, th e Thurstone th eory o f prim ary a b i l i t i e s superceded the th e o ry of T horndike. In su p p o rt of th e Spearman tw o -fa c to r th e o ry was th e work of W ilson (9 4 ), who a d m in is te re d a b a t te r y o f e ig h t t e s t s , con s i s t i n g o f memory f o r d i g i t s , number s e r i e s , a r ith m e tic a l problem s, p i t c h d is c r im in a tio n , o p p o s ite s , d e fin in g w o rd s, com pleting sen te n c e s and co m p letin g p ic tu r e s . The i n t e r c o r r e l a t i o n s and Spearman t e t r a d d if f e r e n c e s in d ic a te d the p resen ce of a c e n t r a l f a c t o r p lu s s p e c if i c and group f a c t o r s . Brown and Stephenson (13) gave tw enty-tw o d i f f e r e n t t e s t s of v e r b a l, n o n -v erb al (m ainly n u m erical) and p e rc e p tu a l ( v i s u a l and a u d ito r y , i . e . , P itc h D is c rim in a tio n T est o f Seashore Music T e s ts ) . Each o f th e s e was u se d presum ably to m easure "n o n -o v erlap p in g " a b i l i t i e s .- They re p o r te d s u b s ta n tia tio n of th e b i - f a c t o r th e o ry o f Spearman, in c lu d in g a group f a c t o r f o r the v e rb a l m a te r ia l. In a s e r i e s o f th r e e r e p o r ts , Stephenson (72, 73, 74) f u r th e r c o rro b o ra te d th e th e o ry o f Spearman when he perform ed s e p a ra te t e t r a d a n a ly se s of th e i n t e r c o r r e l a t i o n s among th e e ig h t v e rb a l t e s t s , th e e ig h t n o n -v erb al t e s t s and th e v e r b a land n o n -v erb al i n t e r r e l a t i o n s h i n s . Under the d i r e c t s u p e rv is io n of P r o f e s s o r G a r r e tt , a s e r ie s of ex p erim en ts were conducted a t Columbia U n iv e r s ity w hich were in d i r e c t c o n tr a d ic tio n to th e theory of Spearman. Schneck (58) s t a r t e d th e s e r ie s by g iv in g f iv e v e rb a l and fo u r n u m erical t e s t s to a group o f c o lle g e s tu d e n ts . i ! A fte r a n a ly z in g th e i n t e r c o r r e l a t i o n s and t e t r a d d if f e r e n c e s he found th a t two g e n e ra l f a c t o r s were p r e s e n t, one re p re s e ttin g v e rb a l a b i l i t y (V f a c t o r ) and th e o th e r r e p r e s e n tin g nu m erical a b i l i t y (N fa c to r). little Ih e v e rb a l and nu m erical a b i l i t y were found to have in common, s in c e the c o r r e l a ti o n between V and N was found to be .2625. A n a s ta s i in two s e p a ra te re s e a rc h e s found h e r s e l f in s u b s ta n tia l agreem ent w ith th e g e n e ra l c o n c lu sio n s o f Schneck. In one study (3) e ig h t memory t e s t s p lu s t e s t s of v o c a b u la iy , a r ith m e tic re a so n in g and th e M innesota P aper Form B oard, s e r i e s A and B, w ere given to a r e l a t i v e l y homogeneous group of c o lle g e s tu d e n ts . From the i n t e r c o r r e l a t i o n s , p a r t i c u l a r l y th e s iz e of th e average i n t e r c o r r e l a t i o n s o f th e memory t e s t s , from th e t e t r a d c r i t e r i o n , and from the c o r r e la tio n s of each t e s t w ith th e c e n t r a l f a c t o r w hich th e o th e r methods p ro v ed e x is te d , she was ab le to prove th e a c tu a l p resen ce of a c e n t r a l f a c t o r in th^nemoiy t e s t s . M oreover, t h i s f a c to r was independent of th e non-memory t e s t s ; th a t i s th e V and N f a c t o r s of Schneck. In th e l a t e r stu d y ( 4 ) , she c o rro b o ra te d th e se f in d in g s . B u t, when d i f f e r e n t t e s t s of memory were in tro d u c e d in to the stu d y , i t was found th a t th e common f a c t o r was n o t p re s e n t in a l l form s o f memory. I t would seem, th e r e f o r e , th a t th d memory f a c t o r was a group f a th e r th an a g en era l f a c t o r . Smith (65) gave f o u r te e n n u m erical, v e rb a l and s p a t i a l t e s t s and an aly zed th e r e s u l t s by means o f th e tw o -fa c to r t e t r a d a n a ly s is and th e H o te llin g method of m u ltip le f a c t o r a n a l y s i s . 32 I t was shown th a t th e t e s t s c o n ta in e d " . . . a g e n e ra l f a c t o r , m u ltip le o v e rla p p in g group f a c t o r s o f v a rio u s o rd e rs and v a rio u s degrees of p o te n cy , and s p e c i f i c s ." The su g g e s tio n was made th a t th e g e n e ra l f a c t o r may he " th e a b i l i t y t r see r e la tio n s h ip s , though the r e la tio n s h ip s in v o lv ed may d i f f e r in k in d and in decree o f c o m p le x ity ." S c h i l l e r (57) p e r f o m e d t e t r a d f a c t o r a n a ly s is o f th e i n t e r c o r r e l a t i o n s w hich r e s u l t e d from th e a d m in is tr a tio n o f th r e e num erical t e s t s , fo u r v e rb a l t e s t s , and f iv e n o n -v e rb a l, s p a t i a l o r perform ance in t e l l i g e n c e t e s t s . Three f a c t o r s , r e p r e s e n tin g v e r b a l, n u m e rical, and s p a t i a l a b i l i t y were found. A lthough a s in g le common f u n c tio n seemed to run through a l l th e t e s t s , th e re ap p eared to be some a d d itio n a l ev id en ce f o r th e p o s s i b i l i t y of independent e x is te n c e o f th e se f a c t o r s . G a r r e tt (25) perform ed m u ltip le f a c t o r i a l a n a ly se s of th e r e s u l t s o b ta in e d in th e s tu d ie s of Schneck, A n a s ta s i and S c h ille r. In a d d itio n to su p p o rtin g t h e i r g e n e ra l r e s u l t s , G a rre tt was a b le t ' re v e a l a d d itio n a l in fo rm a tio n , such as th e i d e n t i f i c a t i o n o f c e r t a i n m inor f a c t o r s , through th e u se o f th i s more advanced te c h n iq u e . By means of th e m u ltip le f a c t o r a n a ly s is , he was a b le to prove the im p o rtan t f a c t in each case th a t th e group f a c t o r s found by th e se re s e a rc h e s were in a l l c a se s i n t e r r e l a t e d and were n o t e x i s t i n g in d e p e n d e n tly as had been th o u g h t. Jo rg en so n (33) d is a g re e d w ith th e Spearman th e o ry o f two f a c t o r s when he found by means o f t e t r a d a n a ly s is a number o f d if f e r e n t group f a c t o r s in s te a d o f a common f a c t o r f o r a b a t t e r y o f t e s t s w hich c o n ta in e d th e Army A lpha, O tis T est f o r B u sin ess E sta b - 34 lish m e n t8 , Thurstone C le r ic a l , T hurstone T ec h n ical In fo rm a tio n , MacQjiarrie M echanical and a te a c h in g a p titu d e t e a t . Aa a r e s u l t of a f a i r l y in te n s iv e in v e s tig a tio n of v a rio u s v e rb a l and perform ance in t e ll ig e n c e t e s t s by means of th e t e t r a d f a c t o r a n a ly s is , th e T hurstone c e n te r o f g r a v ity m u ltip le f a c t o r a n a ly s is and th e method d ev ised by H o te llin g , A lexander ( 2 ) was a b le to dem onstrate th e e x is te n c e of f iv e f a c t o r s . was th e g e n e ra l in t e ll ig e n c e f a c t o r . v e rb a l a b i l i t y f a c t o r . The g, f a c t o r The v f a c t o r he c a l l e d th e The f f a c t o r he la b e lle d th e p r a c t i c a l a b i l i t y f a c t o r , and s t a t e d t h a t i t was " p e c u lia r to perform ance te s ts ." The x f a c t o r was th e s o - c a lle d p e r s is te n c e f a c t o r an d the z_ f a c t o r a f a c t o r im p o rtan t in sch o o l achievem ent. He ad v o cated the dynamic i n t e r r e l a t i o n s h i p among the d if f e r e n t a b i l i t i e s by s t a t i n g th a t "These s o - c a ll e d fu n c tio n a l a b i l i t i e s a re not independent t r a i t s . They a re each th e r e s u l t a n t o f more th a n one f a c t o r , an d th e y a r e a l l d e f i n i t e l y r e l a t e d to one a n o th e r." P rev io u s to th e p u b lic a tio n of th e in v e s tig a tio n by A lexan d er, T h u rsto n e (85) r e p o r te d a study in which he u sed some o f A le x a n d e r's u n p u b lish e d d a ta . He found th a t h is method o f m u ltip le f a c t o r a n a ly s is gave him two g e n e ra l f a c t o r s re p re s e n tin g v e rb a l a b i l i t y an d m an ip u lato ry a b i l i t y . In th e same r e p o r t he s u b je c te d th e d a ta o f Brown and Stephenson to m u ltip le f a c t o r a n a ly s is and found a f a c t o r f o r v e rb a l a b i l i t y and a f a c t o r f o r v is u a l form p e r c e p tio n . 36 In an o th e r r e p o r t, T hurstone (86) gave to 240 s u b je c ts a p ro d ig io u s b ;- tte r y o f f i f t y - s i x p s y c h o lo g ic a l t e s t s , c o n s is tii® o f th e ty p e s o f v e r b a l, n u m erical and v is u a l ta s k s th a t a re found in in t e ll ig e n c e t e s t s . M u ltip le f a c t o r a n a ly s is in d ic a te d seven prim ary f a c t o r s and two te n t a t i v e o n es. He la b e le d th e p rim ary f a c t o r s v is u a l , p e r c e p tu a l, n u m e ric a l, complex v e rb a l r e l a t i o n s , s in g le and is o la te d w ords, memory, and in d u c tiv e . The te n ta ti v e f a c t o r s he i d e n t i f i e d a s p ro b le m -so lv in g and d e d u c tiv e . These p rim ary a b i l i t i e s are in essen ce independent group f a c t o r s . One o f the m ajor co n c lu sio n s w as, "We cannot r e p o rt any g e n e ra l common f a c to r in th e b a t t e r y of f i f t y - s i x t e s t s th a t have been a n aly zed in th e p r e s e n t stu d y ." I t is o f i n t e r e s t to n o te , in t h i s co n n ec tio n , th a t Spearman (69) perform ed a t e t r a d a n a ly s is of thesejplata and r e p o r te d th e p resen ce of a g f a c t o r . Woodrow (96) s im i la r l y perform ed a v ery in te n s e stu d y by g iv in g f if t y - t w o d if f e r e n t m ental t e s t s , in v o lv in g v a rio u s t e s t s and s u b - te s ts of g en era l in t e l l i g e n c e , s o c ia l in t e ll ig e n c e , m u sic al a b i l i t y (S e a sh o re ), achievem ent in c o lle g e co u rse , a t te n tio n t e s t s , and so on. He an aly zed the c o r r e l a t i o n c o e f f i c i e n t s by means o f th e T hurstone m u ltip le f a c t o r a n a ly s is and o b ta in e d te n f a c t o r s , s ix o f which had s ig n if ic a n c e . These were v e r b a l, v i s u a l - s p a t i a l , n u m erical, a t t e n t i o n , m u s ic a l,a n d a su g g ested memory f a c t o r . There were in d ic a tio n s o f much o v e rla p p in g in th e v a r ia b le s which oom prised th e f a c t o r s , p a r t i c u l a r l y beyond the second f a c t o r . 36 fin a l Statement o f the Problem In summary of the foregoing, two fa c ts seem to stand out c le a r ly . The f i r s t fa c t in d ica tes almost un iversal agree ment regarding the e x isten ce of broad group fa c to r s. The second fa c t, however, in d ic a te s disagreement regarding the nature o f these group fa c to r s. S p e c ific a lly , the controversy seems to revolve about the question o f whether these fa c to r s are in ter r ela ted or whether they e x is t independently. Thurstone, whose theory of primary a b i l i t i e s has taken the place o f the m ultiple fa c to r s theory o f Thosndike, subscribes to a theory of independence among the primary group fa c to r s. This theory i s in many respects sim ilar to a fa c u lty psychology based, o f course,on s c ie n t if ic structure. In Spearman's tw o-factor theory, on the other hand, the group fa c to r s are not at a l l independent since they are tie d together by means o f the general fa c to r . At present, there arm ardent proponents o f both view s, these being supported by both experimental and a n a ly tic evidence. K elley (35) assumes a p o sitio n which i s c lo se to the Thurstone point of view when he conceives mental t r a it s as c o n ste lla tio n s of a b i l i t i e s and rela ted phenomena capable o f independent fu nctioning. The theory o f "unique tra its" p o site d by the p sy ch o lo g ists a t the U niversity o f Minnesota * i ! • 3? a g re e s q u ite w e ll w ith th e T hurstone th e o ry o f "p rim ary a b ilitie s ." A lexander a p p a re n tly su p p o rts th e tw o -fa c to r th e o ry . Somewhere between b o th th e s e extrem e th e o r ie s is th e sam pling th e o ry o f Thomson ( ? 9 ) , ( c a l l e d " d o c trin e o f chance" by Spearm an), w hich co n ceiv es o f th e mind s s made uo o f an i n f i n i t e number o f n e u ra l bonds (somewhat s im ila r to th e T horndike bonds) w hich may e x i s t in d e p e n d e n tly , o r as "su b po o ls" o f th e v a rio u s bonds. Thomson p r e f e r s t h i s e x p la n a tio n to one in v o lv in g f a c t o r s o r f a c u l t i e s . Tryon (92) ad v o cates a s im ila r p o in t o f view w ith th e gene as th e b a s is ; so th a t th e re a re as many in dependent f a c t o r s a s th e re a r e independent g e n e tic elem en ts. Hence, th e o b je c t o f th e p re s e n t stu d y i s to d eterm in e w hether te s t e d a b i l i t i e s , such a s m usic, c l e r i c a l , m ech an ical, and so f o r t h , which a re c o n s id e re d to be s p e c ia l and d is p a r a te a b i l i t i e s , a r e a c t u a l l y independent o f one a n o th e r and th e p o s s ib le e x te n t of such independence, o r dependence. The w r i t e r found in h is p re v io u s r e s e a rc h in v o lv in g t e s t s o f m usic, a r t and m echanical a b i l i t y , t h a t th e se a b i l i t i e s were n o t s e p a ra te and in d ep en d en t. Much o v erla p p in g was r e p o rte d , i n d ic a tin g th e need f o r f u r th e r in te n s iv e in v e s tig a tio n . H ie ra rc h ie s ap p ea red w ith in th e c o r r e l a ti o n s and th e f a c t o r lo a d in g s . 38 C e rta in s p e c if ic q u e s tio n s would n a t u r a l l y a r i s e , such as; Are th e se s o - c a lle d s p e c ia l a b i l i t i e s complexes o f d i f f e r e n t t e s t s h e a rin g th e same name as S eash o re p o s tu la te s f o r h is m usic t e s t s , o r a re th e re c e r t a i n (gro u p ) f a c to r s w hich a re common to them? Are a l l th e t e s t s in th e b a t te r y in c lu d e d in such a group f a c t o r , i f i t he proven to e x i s t , o r a re o n ly c e r t a i n chosen ones inclu d ed ? Does s u p e r io r ity in a s in g le a b i l i t y s ig n if y i n f e r i o r i t y in th e o th e r a b i l i t i e s , o r th e converse? And, most im p o rtan t o f a l l , a r e th e se group f a c t o r s (o r p rim ary a b i l i t i e s ) independent o f one an o th e r o r do th e y e x i s t in c e r t a i n dynamic r e la tio n s h ip s ? A c tu a lly , th e problem i s to in v e s tig a te by c o r r e l a t i o n and f a c t o r i a l a n a ly s is th e r e la tio n s h ip s among t e s t s o f in t e l l i g e n c e , m u sic, a r t judgm ent, c l e r i c a l , m echanical and m a n ip u la tiv e a b ility . i I* V. 39 I I . THE EXPERIMENT S u b je c ts E ig h ty male s tu d e n ts from u n d e rg ra d u a te c o u rse s in g e n e ra l psychology a t Brooklyn C ollege and a t th e 'Washington Square C o lleg e of New York U n iv e r s ity were g iv e n th e com plete b a t te r y o f t e s t s u sed in t h i s s tu d y . The age ran g e of th e s e s u b je c ts was from f i f t e e n y e a r s , n in e m onths, to tw en ty -fo u r y e a r s , two m onths, w ith th e median age a t e ig h te e n y e a rs , fo u r m onths. The socio-econom ic s ta t u s of th e v a s t m a jo r ity of th e s u b je c ts wss e s s e n t i a l l y th e same, s in c e most o f them came from th e u pper w orking c l a s s and low er m iddle c l a s s ty p e of home environm ent. A ll were b o rn in th e U n ite d S ta t e s . They u s u a lly had one o r b o th p a r e n ts who were b o rn in t h i s c o u n try , and th e y were m ain ly of th e Hebrew c u l t u r a l back ground. P ro ced u re Because o f th e f a c t th a t many o f th e t e s t s co u ld be ad m in is te r e d to groups a s w e ll a s in th e in d iv id u a l form, and a ls o because o f th e f a c t th a t a co n scio u s e f f o r t was made to 40 avoid, adherence to a p a r t i c u l a r sequence o f a d m in is tr a tio n , th e te s t i n g p ro ced u re v a r ie d and mas v e ry d if f e r e n t f o r v a rio u s s u b je c t s. w hether th e t e s t s -were tak en in d iv id u a lly o r in groups depenaed upon th e number o f s u b je c ts a v a ila b le a t a p a r t i c u l a r tim e. i ‘he groups nev er exceeded s ix , and w ere u s u a lly two or th r e e in number. Some s u b je c ts took a l l th e p e n c il- p a p e r t e s t s in group form ; o th e rs to o k some o f th e s e t e s t s in group and in d iv id u a l form ; w h ile most took a l l th e t e s t s in d iv id u a lly . The t e s t i n g program was ap p ro x im ate ly s ix h o u rs lo n g . Depending upon th e s u b je c t s ' co n v en ien ce, th e program was a d m in is te r e d in th r e e s e s s io n s , two s e s s io n s , o r s ix s e s s io n s . The p ro ced u re m ost o fte n fo llo w ed , however, was a tw o-hour s e s s io n , r e p e a te d th r e e tim e s , -he p a t t e r n o f a d m in is tr a tio n o f the t e s t b a t t e r y depended upon f a c t o r s which h e lp e d c r e a te maximum m o tiv a tio n o r f a c i l i t a .t e d th e t e s t i n g program . F or in s ta n c e , i f th e i n t e r e s t o f th e s u b je c t c o u ld be m a in ta in e d by w ith h o ld in g th e music o r in t e ll ig e n c e t e s t u n t i l th e end, t h i s p ro ced u re would be u s e d . In many c a s e s i t became n eces s a ry to a d m in is te r th e s e t e s t s f i r s t in o rd e r to aro u se th e c u r io u e ity and i n t e r e s t o f th e s u b je c t. Most of th e 30 - e a l l e d m echanical a b i l i t y t e s t s w ere in d iv id u a l t e s t s and w ere a d m in is te re d m ainly a t th e end of th e p ro c e d u re . The p h ilo so p h y u n d e rly in g such a v a r ie d t e s ti n g te c h n iq u e r e c e iv e s su p p o rt in th e argum ent th a t t h i s i s n o t an 41 experim ent w hich p u rp o rts to determ in e th e r e s u l t s o f th e d i f f e r e n t t e s t s u n d er v a rio u s t e s t i n g c o n d itio n s hut in s te a d i s h a se d upon th e a c c e p te d assum ption th a t group t e s t s can he a d m in is te re d in d iv id u a lly and to groups w ith o u t a f f e c t i n g th e r e s u l t s s i g n i f i c a n t l y as w e ll a s upon th e j u s t i f i c a t i o n fcr any te ch n iq u e which w i l l a s s i s t in b r in g in g fo rth ; maximum r e s u l t s on each o f th e t e s t e d a b i l i t i e s . S ince t h i s i s an a n a ly s is o f th e r e l a t i o n among d i f f e r e n t a b i l i t i e s , i t i s m ost im p o rtan t to u se te c h n iq u e s which would produce th e maximum e x p re ssio n s o f th e s e a b i l i t i e s . In th e a d m in is tr a tio n o f th e t e s t s , the r u le s and r e g u la tio n s f o r p ro p e r t e s t i n g were s t r i c t l y ad h ered to , such a s u s e o f new m a te r ia ls , and o r ig i n a l t e s t i n s tr u c tio n s , e lim in a tio n of c o n d itio n s f o r copying and annoyances, and so fo rth . M a te ria ls Many f a c t o r s e n te r e d in to th e s p e c if i c s e le c tio n o f th e t e s t i n g m a te r ia ls u se d in t h i s ex p erim en t. Out s ta n d in g among th e many b a s e s f o r s e le c tio n w ere th e e x te n t to which th e t e s t s were c o n s id e re d to be d i s t i n c t and s e p a ra te m easures o f th e s p e c if ic a b i l i t i e s , che v a l i d i t y and o f th e t e s t s , th e le n g th and d i f f i c u l t y re lia b ility of a d m in is tr a tio n o f th e 42 t e s t s , th e r e p u ta tio n which th e s e t e s t s had among v a rio u s psy c h o lo g is ts , (te) th e u se o f th e t e e t s in p re v io u s r e s e a r c h , and th e p e rs o n a l e x p e rie n c e s o f th e ex p erim en ter w ith th e se and o th e r t e s t s . 1 . I n te l li g e n c e T est The t e s t o f in t e ll ig e n c e u sed vras th e 1938 e d i tio n o f the American C ouncil on E d u catio n P s y c h o lo g ic a l Exam ination f o r C ollege Freshmen "by T hurstone and T hurstone (9 0 ) . T his t e s t c o n s is ts of s ix s e p a ra te t e s t s , two su b sc o re s and a g e n e ra l s c o re . Each o f th e su b sco res c o n ta in s th r e e o f th e t e s t s . The 0 ,-sccre, w hich i s th e f i r s t su b sc o re, co m p rises th e th r e e q u a n ti t a t i v e t e s t s ; th e o th e r su b -sc o re , th e L -s c o re , i s th e t o t a l o f th e th r e e l i n g u i s t i c t e s t s . The g e n e r a l, o r g ro s s sco re is th e t o t a l o f th e s ix t e s t s o r o f th e two s u b sc o re s . F iv e o f th e s ix t e s t s were p r e s e n t in p re v io u s e d i tio n s of th e e x am in atio n . A ccording to th e T h u rsto n e s, th e se f iv e t e s t s w ere in c lu d e d in experim ents w ith f a c t o r a n a ly se s to determ ine p rim ary m en tal a b i l i t i e s and j u s t i f i e s , th e re b y , t h e i r gro u p in g to g e th e r w ith th e a d d itio n a l t e s t in to th e two (k) P a l l i s t e r (50) conducted a study in w hich 38 a p p lie d psy c h o lo g is ts w ere a sk e d t h e i r o p in io n s on 53 w ell-know n t e s t s . The p e r cen t who r e p o r te d th e t e s t s a s " e f f i c i e n t " o r " i n e f f i c i e n t , " to g e th e r w ith some p e r ti n e n t rem arks, w ere in d ic a te d . Almost a l l o f th e t e s t s u se d in the p re s e n t stu d y r e c e iv e d h ig h ly e f f i c i e n t ra tin g s . i 43 g e n e ra l subccore c l a s s e s . They contend, how ever, t h a t th e s e two su b sco res " . . . do n o t r e p r e s e n t p rim ary m e n tal a b i l i t i e s , h u t th ey r e p r e s e n t two groups o f a b i l i t i e s s i g n i f i c a n t f o r c o lle g e c u r r ic u la th a t a r e dom inantly l i n g u i s t i c o r te c h n ic a l." So f a r a s th e v a l i d i t y o f th e t e s t s a r e co n cern ed , no s e p a ra te v a l i d i t i e s a r e r e p o r te d but th e a u th o rs say a p ro p o s o f th e whole t e s t , "A number of s tu d ie s have been made o f th e r e l a t i o n betw een th e p sy c h o lo g ic a l ex am in atio n and s c h o la r s h ip and th e c o r r e l a ti o n s a re u s u a lly in th e neighborhood of .5 0 ." (91) They p r e s e n t th e r e s u l t s of a stu d y a t th e Uni v e r s i t y o f Chicago which serv e to co nfirm t h i s c o n c lu s io n . The r e l i a b i l i t i e s f o r th e s e p a re te t e s t s a s w e ll a s th e cubsc o re s and g ro s s o r t o t a l t e s t sco re a r e g iv e n by Seder ( 6 2 ) . T h ese r e l i a b i l i t i e s , a s taker, from S eder, to g e th e r w ith th e t e s t d e s c r ip t io n s ,a r e a s fo llo w s : (1 ) The A rith m e tic R easoning T est m easiires th e a b i l i t y to so lv e sim ple problem s in a r it h m e t ic . The t e s t i s given f o r fo u r m in u te s, fo llo w in g a s im ila r p r a c t ic e p e rio d . The r e l i a b i l i t y c o e f f i c i e n t i s .7 9 3 . (2 ) The A n alo g ies T e s t, which i s g iv en f o r fo u r m inu tes a f t e r a s im ila r p e r io d o f p r a c t ic e tim e , m easures th e a b i l i t y to u n d e rs ta n d th e r e la tio n s between g e o m e tric a l f i g u r e s . The r e l i a b i l i t y c o e f f i c i e n t i s .8 2 5 . 44 (3 ) The Number S e r ie s T e st i s g iven f o r te n m in u tes a f t e r a fo u r-m in u te p r a c t ic e p e r io d . I t m easures th e a b i l i t y to comprehend a r ith m e tic a l and g e o m e tric a l number s e r ie s - The r e l i a b i l i t y c o e f f i c i e n t i s .7 9 7 . (4 ) The Q -score r e p r e s e n ts th e t o t a l sc o re o f th e f i r s t th re e t e s t s and i t h as a s e p a r a te r e l i a b i l i t y c o e f f i c ie n t o f .8 5 6 . (5 ) In th e Com pletion T e st a d e f i n i t i o n o f a w ord i s g iv e n , th s number o f l e t t e r s in t h i s word, and th e f i r s t l e t t e r s o f f iv e d i f f e r e n t w ords. The s u b je c t is to determ in e w hich o f th e s e f i v e w ords b e s t f i t s th e d e f i n i t i o n . The t e s t i s g iv e n f o r fo u r m in u tes a f t e r th r e e m in u tes of p r a c t i c e . The r e l i a b i l i t y c o e f f i c i e n t i s .7 8 7 . (6^ The A r t i f i c i a l Language T est m easures th e f a c i l i t y w ith which a new language i s le a r n e d . I t i s g iv en f o r seven m in u te s, fo llo w in g a six -m in u te p r a c tic e p e r io d , and h a s a r e l i a b i l i t y c o e f f i c i e n t o f .9 5 5 . ( 7) The Same-Opposite T e st m easures v o cab u lary by means o f synonyms and antonyms. I t i s g iv en f o r f iv e m in u tes a f t e r a tw o-m inute p r a c t i c e p e rio d , and has a r e l i a b i l i t v c o e f f i c ie n t o f .9 2 4 . (8J The L -sco re r e p r e s e n ts th e t o t a l sc o re o f th e l a t t e r th r e e o f l i n g u i s t i c t e s t s , and h as a s e p a ra te r e l i a b i l i t y co ef f i c i e n t of .9 5 3 . 45 (9 ) te s ts . The G ross Score i3 th e t o t a l of th e s ix In d iv id u a l I t s r e l i a b i l i t y c o e f f i c i e n t i s .9 5 2 . A ll of th e t e s t s a r e p re s e n te d in th e u s u a l m u ltip le ch o ice type of arran g em en t. 2. Music T e sts The Seashore M easures of M usical T a le n t (60) c o n s is ts o f s ix d o u b le -fa c e d phonograph re c o rd s , each re c o rd m easu rin g a fundam ental and e s s e n t i a l c a p a c ity o f m usic, namely, p i t c h , i n t e n s i t y , tim e, consonance, to n a l memory, and rhythm . S eashore s t a t e s th e se s ix m easures " . . . do not c o n s t i t u t e a com plete survey of m u sical t a l e n t , a s may be seen in th e a n a ly s is o f a m u sical mind and in v e n to ry o f t a l e n t s in th e te x t book, b u t th ey a re s p e c if ic m easures o f th e se six b a s ic c a p a c i t i e s . i s what makes them s c i e n t i f i c . That They do not m easure th e m u sic a l mind as a w hole, but they do m easure s p e c if ic and fundam ental t r a i t s o f m u sic al h e a r in g . C orrespondirg m easures of th e c a p a c ity f o r th e m otor a s p e c ts o f th e se f a c t o r s in s in g in g and p la y in g a re a v a ila b le in any la b o ra to r y , aa a re a ls o m easures o f c a p a c it ie s a t th e l e v e l s of memory, im ag in atio n , th in k in g , complex m otor s k i l l s , f e e l in g , and th e e x p re s s io n of f e e l i n g . B ut th e s e s ix m easures a re b a s ic and most r e a d i ly a v a i la b l e , and sh o u ld be th e f i r s t in any s e r ie s of m easures c f m u sical t a l e n t . " These s i x c a p a c it ie s a r e : 46 (1 ) The Sense o f P itc h T e s t. The s u b je c t in d ic a te s w h eth er th e second o f two to n e s i s h ig h e r o r low er in p i t c h , th e degree of d i f f i c u l t y ra n g in g downward from t h i r t y v ib r a ti o n s to o n e - h a lf . (2 ) The Sense of I n t e n s i t y T e s t. The s u b je c t com pares two to n e s which d i f f e r in lo u d n e ss and in d ic a te s w h eth er th e second is s tro n g e r o r w eaker than th e f i r s t . The d if f e r e n c e s a re ran g ed from one to f iv e audiom eter u n i t s . (3 ) The Sense o f Tjjse T e s t. The s u b je c t in d ic a te s w hether th e second i n t e r v a l of tim e between two c l i c k s i s lo n g e r o r s h o r te r th a n th e im m ediately p re c e d in g i n t e r v a l o f time betw een th e c l i c k s . The range of d if f e r e n c e s i s from two h u n d red th s of a second to tw enty h u n d red th s. (4) The Sense of Consonance T e s t. The s u b je c t i n d i c a te s w hether th e second o f two com binations of two to n e s each i s b e t t e r o r w orse in consonence o r harmony th a n th e p re c e d in g com bination. (5 ) The Tonal Memory T e s t. The s u b je c t h e a rs a s e r i e s of to n e s p la y e d tw ice and in d ic a te s by number which to n e was changed in th e second p la y in g . The degree o f d i f f i c u l t y de pends upon th e number o f n o te s in th e span, w hich ra n g e s from two to s ix . (6 ) The 8ense o f Rhythm T e s t. The s u b je c t in d i c a te s w heth er th e necond o f two rhythm ic p a tte r n s i s th e same a s o r d i f f e r e n t from th e f i r s t p a t t e r n . i J i;\ 47 M u rse ll (47, pp. 292 and 295) hap two s e p a ra te ta b le s w hich a r e e x c e lle n t summaries o f a l l the a v a ila b le r e s e a rc h on th e v a l i d i t y and r e l i a b i l i t y o f th e Seashore Music T e s ts . The number and type of s u b je c ts , th e c r i t e r i a u se d ,a n d th e in v e s t ig a t o r s a r e g iv en f o r each of th e t e s t s . The p r e s e n t w r ite r av erag ed a l l th e r e l i a b i l i t y c o e f f i c i e n t s and a l l th e v a l i d i t y c o e f f i c i e n t s re p o rte d below f o r each t o s t . The P itc h T est h as a r e l i a b i l i t y c o e f f i c ie n t w hich ran g es from .51 to .9 0 , w ith an average o f .72 ( 1 ) , and a range o f v a l i d i t y c o e f f i c i e n t s from .01 to .6 0 , w ith th e averag e o f .2 6 . The I n te n s ity T est h a s r e l i a b i l i t y c o e f f i c i e n t s which range from .4 0 to .9 4 , w ith th e c a lc u la te d average a t .69 and v a l i d i t y c o e f f i c i e n t s which range from .07 to .4 9 , w ith averag e a t .2 0 . In th e Time T e s t, th e ran g es in r e l i a b i l i t y and v a l i d i t y c o e f f i c i e n t s a re .41 to .8 1 , and - .1 4 to .3 6 , r e s p e c tiv e ly , w ith th e r e s p e c tiv e av erag es of .56 and .1 3 . In Con sonance, th e r e s p e c tiv e ran g es in th e r e l i a b i l i t y and v a l i d i t y c o e f f i c i e n t s a r e .26 to .68 a n d ^ 2 7 to .2 9 , w ith r e s p e c tiv e av era g es of .5 0 and .0 0 . The Tonal Memory T est has a r ange of r e l i a b i l i t y c o e f f i c i e n t s from .59 to .9 0 , w ith av erag e o f (1 ) In d eterm in in g th e average r e l i a b i l i t y o f th e P itc h T e s t, a s as o f th e o th e r s , th e stu d y by McGinnis w ith n u rs e ry school c h ild r e n was n o t in c lu d e d because th e t e s t s were m o d ified f o r t h i s u se a s w e ll a s th e f a c t th a t t e s t s given to such young c h ild r e n have q u e s tio n a b le r e l i a b i l i t y , th e s t a t i s t i c s n o tw ith s ta n d in g . w e ll 48 .81 and a ran g e o f v a l i d i t y c o e f f i c i e n t s from .0 5 to .6 5 , and an av erag e o f .3 5 . In th e Rhythm l e s t th e r e l i a b i l i t y c o e f f i c ie n t s a re ran g ed from .28 to .6 4 , and have an av erag e of .4 5 , w h ile the v a l i d i t y c o e f f i c i e n t s a re ran g ed from - . 1 5 to .2 5 , and have an av erag e of .0 8 . T^us, i t i s seen th a t th e m a jo r ity of th e t e s t s , w ith th e e x c e p tio n of Rhythm and Consonance, a r e s u f f i c i e n t l y v a l i d and r e l i a b l e f o r ex p erim en tal u s e . There i s a p p a re n tly c o n s id e ra b le doubt about some of the o th e r s . 3. T est o f A rt Judgment A b ility The M eier-S eashore A rt Judgment Te3t (42) p u rp o rtin g to m easure in a " v a lid and r e l i a b l e manner c e r t a i n im p o rtan t as p e c ts of a e s t h e t i c judgment o r t e s t , th e s u b je c t in s i g h t ," was u s e d . In t h i s s e le c te d the b e t t e r o f a p a i r of s im ila r p i c t u r e s th a t d if f e r e d on ly in one r e s p e c t; th e s u b je c t was inform ed co n cern in g th e n a tu re o f the d if f e r e n c e . c r i t e r i a in d ic a te d a s a t i s f a c t o r y v a l i d i t y . The v a rio u s The c o e f f i c ie n t s of r e l i a b i l i t y ranged from .71 to .8 5 . 4. C le r ic a l A b ility C le r ic a l a b i l i t y was m easured by th e M innesota. V o catio n al T e st f o r C le r ic a l J o r k e r s ( 6 ) . The t e s t c o n s is te d of two p a r t s , s number checking and a name checking t e s t . hundred item s in each t e s t . There were two In th e number ch eck in g t e s t th e s u b je c ts were given e ig h t m in u tes to check th e p a i r s o f numbers 49 t h a t w ere th e same, th e number of d i g i t s ra n g in g from th r e e through tw elv e. In th e name ch eck in g t e 3 t th e s u b je c ts checked f o r seven m in u tes th e p a i r s o f names th a t w ere e x a c tly th e seme. These names had a ran g e o f l e t t e r s from 3 even th ro u g h s ix te e n . The t e s t - r e t e s t c o e f f i c i e n t of r e l i a b i l i t y was .8 5 , and th e odd-even c o e f f i c i e n t o f r e l i a b i l i t y , .9 0 . The v a l i d i t y co e f f i c i e n t s b ased on p e rs o n a l h i s t o r y r a ti n g s w ere about .6 5 , w h ile s u p e r v is o r s ' r a ti n g s end t e s t s c o re s gave c o e f f i c i e n t s o f a p p ro x im ate ly .2 7 . Combined r a ti n g s , o b ta in e d by w e ig h tin g p e rs o n a l h is to r y and s u p e r v is o r s ' r a ti n g s e q u a lly , c o r r e l a te d ab o u t .60 w ith th e t e s t s c o re s . The Thurstone C le r ic a l T est was a lso g iv en b u t was d is c a rd e d I n t e r becau se o f th e ex trem ely h ig h d eg rees o f skewness w hich in d ic a te d th a t the t e s t s were to o sim ple f o r th e group s tu d ie d . 5. M echanical A b ili ty T e sts Three t e s t s were u se d to m easure m ech an ical a b i l i t y . A ccording to Bingham ( 9 ) , th e M innesota in v e s tig a tio n o f mechani c a l a b i l i t y in d ic a te d th a t "No one t e s t , how ever, i s a h ig h ly v alid , m easure o f m echanical a p t itu d e . A b a t t e r y made up o f th e M innesota P ap er Form Board, S p a tia l H e la tio n s , and M echanical Assembly T e s ts was found to p r e d i c t , w ith an e f f ic ie n c y 23$ b e t t e r th a n chance, th e q u a l ity of work done in sch o o l shop c o u r s e s ." These were the t e s t s th a t were u se d , th e r e f o r e , to m easure m echanical a b i l i t y . 50 The L ik e r t and Quasha R ev ised M innesota P ap er Form B oard (36, 55) was g iv en in o rd e r to m easure th e a b i l i t y to p e rc e iv e and a n aly ze s p a t i a l o r g eo m e tric a l p a t te r n s in two d im en sio n s. This t e s t d id n o t p erm it manual m a n ip u la tio n o f th e f i g u r e s . In s te a d o f t h i s th e s ix ty - f o u r p i c t o r i a l d e s ig n s , which w ere a d m in is te re d f o r tw enty m in u te s, were supposed to he m a n ip u la te d m e n ta lly . (Bingham s t a t e s th a t of e l l th e p e n c il-a n d -p a p e r t e s t s exp erim en ted w ith in th e M innesota in v e s t ig a t io n , th e P a p e r Form Board gave th e most dependable d a t a .) was g iv en to a l l the s u b je c ts . S e rie s BB o f t h i s t e s t So f a r a s th e v a l i d i t y o f th e t e s t i s co n cern ed , i t h as a c o r r e l a t i o n c o e f f i c i e n t of .75 between th e o r ig i n a l end r e v is e d form s o f th e t e s t , v/hich c o r r e c te d f o r u t t e n tu a t io n , i s .9 4 and y ie ld s c o r r e l a ti o n s of .49 and .3 2 , r e s p e c tiv e ly , betw een th e r e v is e d t e s t and g rad es in m echanical drawing and d e s c r ip tiv e geom etry. The r e l i a b i l i t y c o e f f i c ie n t f o r a s in g le form o f th e t e s t (BB) i s .8 5 . The M innesota S p a tia l R e la tio n s T est (51) i s a ls o a m easure o f two dim ensional s p a t i a l r e l a t i o n s . In c o n t r a s t to th e P ap er Form Board T est t h i s i s an a p p a ra tu s t e s t and i s a d m in is te r e d in d iv id u a lly . The te«?t c o n s is ts o f fo u r form b o ard s (A, B, C, D) which c o n ta in two s e t s of f i f t y - e i g h t p ie c e s o f d i f f e r e n t s iz e and form . The s h o rt form , w hich u t i l i z e s two of th e b o ard s (A and B) and one s e t o f b lo c k s was u sed in th e 51 in v e s t ig a t io n . The t o t a l tim e u sed to p la c e th e p ie c e s in to t h e i r p ro p e r p la c e s o f "both h o ard s was tak en a s th e c r i t e r i o n f o r d eterm in in g speed and a cc u racy in th e d is c r im in a tio n of s iz e and shape. A low tim e sc o re in d ic a te d s u p e rio r a p t itu d e . P a te rs o n , S c h n e id le r and W illiam son (52) r e p o r t r e l i a b i l i t y c o e f f i c i e n t s ran g in g from .84 to .91 f o r th e t o t a l t e s t a s w e ll a s s a t i s f a c t o r y v a l i d i t y . ^'he M innesota M echanical Assembly T e s t (51) i* a r e v is io n o f th e S te n q u is t M echanical Assembly Box, and r e p r e s e n ts a d ecid ed improvement ov er i t . The lo n g e r form of th e M innesota T est c o n ta in s t h i r t y - t h r e e common m echanical o b je c ts w hich a r e p la c e d in a s im ila r number of compartments o f th r e e boxes (A, B, C). The s h o r te r form of th e t e s t c o n s is ts of two such boxes ( s e t I and I I ) , w ith te n c o n triv a n c e s in each . The s h o r te r form, c o n s is tin g o f th e two boxes, was u se d in th e p re s e n t stu d y . There i s s u f f i c i e n t j u s t i f i c a t i o n from a l l th e a u t h o r i t i e s f o r th e u s e o f th e s h o r te r form o f th e t e s t . The e x te n t to which each of th e te n s e p a ra te and d is a s sembled d ev ices i s assem bled c o r r e c t ly w ith in a s p e c if ie d p e rio d o f time a l l o t t e d to th e assem b lin g o f each item i s c o n sid e re d th e s c o re . The t o t a l tim e f o r box one i s tw enty-one m in u te s , and f o r th e second box, sev en te en m in u tes, tw enty seco n d s. D e s c rip tio n s f o r c o r r e c t and o b je c tiv e s c o rin g a r e g iv e n . sc o re i s th e t o t a 1 f o r th e tw enty s e p a ra te o b je c ts . The The maximum sco re p o s s ib le i s 2 0 0 , s in c e each box i s e v a lu a te d on th e b a s is 52 o f 1 0 0 , and each item sco red e q u a lly on th e b a s i s o f 1 0 , r e g a rd le s s o f d eg ree o f d i f f i c u l t y or th e number of component p a r t s of each s e p a ra te o b je c t. P a te rs o n , E l l i o t t , A nderson, Toops and H eid b red er (51) re p o rt a r e l i a b i l i t y c o e f f i c ie n t o f .63 between th e two boxes. The c o e f f i c i e n t i s in c re a s e d to .77 by means of th e Spearman-1 rown c o r r e c tio n fo rm u la. The v a l i d i t y c o e f f i c i e n t s between th e t e s t and th e fo llo w in g c r i t e r i a a r e : .55 f o r q u a lity , .24 f o r q u a l ity - q u a n tity , .35 f o r in fo rm a tio n , and .53 f o r q u a lity and in fo rm a tio n . 6. T e a ts of M an ip u lativ e A b ility Two t e s t s of m a n ip u la tiv e a b i l i t y were u se d . These were the li n g e r and Tweezer D e x te rity T e sts of O'Connor (4 9 ). The ii n g e r D e x te rity T e s t, as in d ic a te d by i t s name, m easures th e d e x te r ity of d e f tn e s s of th e f in g e r s in p ic k in g up th r e e sm all m etal p in s a t a tim e from a tr a y c o n ta in in g ap p ro x im ately th r e e hundred s im ila r p in s and p la c in g them in p ro p e r o rd e r in to one o f one hundred h o le s of a m etal p l a t e . The s o le c r i t e r i o n i s the time re q u ir e d f o r f i l l i n g a l l the h o le s , th e tim e in seconds being tak en f o r each h a l f of f i f t y h o le s .w eig h ted f o r p r a c t i c e e f f e c t f o r th e second h a l f , and th e av erag e of th e two u se d as th e sco re f o r th e t e s t . Hines and O'Connor (29) r e p o r t a t e s t r e t e s t r e l i a b i l i t y c o e f f i c ie n t o f .60 a s w e ll a s s a t i s f a c t o r y v a l i d i t y , w h ile Hayes (28) r e p o r ts a c o r r e c te d s p l i t - h a l f r e - 53 l i a b i l i t y c o e f f i c ie n t of . 8 6 . P a te rs o n , S ch n eid l* r and W illiam son r e p o r t r e l i a b i l i t y c o e f f i c i e n t s o f .90 and .9 3 . In th e Tweezer D e x te r ity T e s t, w hich m easures d e x t e r ity in the m a n ip u la tio n o f a sm all t o o l , s p e c i f i c a l l y the fo rc e p s o r tw eez er, th e s u b je c t p ic k s up one of th e p in s from a tr a y o f about one hundred p in s and p u ts each in tc th e m e tal p l a t e o f one- hundred sm all h o le s in a d ir e c te d o r d e r . The sco re i s th e tim e, in seconds, w hich i t ta k e s to f i l l a l l th e h o le s . No r e l i a b i l i t y and v a l i d i t y c o e f f i c i e n t s a re r e p o r te d f o r th is p o r tio n o f th e t e s t , h a t P a te rs o n , S c h n e id le r end W illiam son s t a t e , "A lthough no ex ac t f ig u r e s a re a v a i la b l e , th e re a r e s u b s t a n ti a l in d ic a tio n s th a t t h i s d ev ice y ie ld s r e s u l t s which a r e e q u a lly a s c o n s is te n t a s th o se secu red when th e r e v e rs e o f o f th e b o ard i s u sed f o r m easu rin g d e x t e r ity w ith th e f in g e r s ." Summary o f th e E x p erim en tal P ro ced u re E ig h t t e s t s com prising tw e n ty -th re e s e p a ra te and d is t i n c t v a r ia b le s were a d m in is te re d to e ig h ty m ale c o lle g e s tu d e n ts in a f a i r l y random p r e s e n ta tio n . Twese v a r ia b le s a r e l i s t e d in th e nu m erical o rd e r in which th e y w i l l be known and u se d in th j tre a tm e n t o f th e r e s u l t s . They a re a s fo llo w s : - 1. A rith m e tic S easoning (T hurstone I n te l li g e n c e ) 2 . A n alogies (T hurstone I n te l li g e n c e ) 3. Number S e r ie s (T h u rsto n e I n te llig e n c e ) 54 4 . Q-Score (T h u rsto n e I n te l li g e n c e ) 5 . Word Com pletion (T hurstone I n te l li g e n c e ) 6. A r t i f i c i a l Language (T hurstone I n te l li g e n c e ) 7 . Sam e-Opposite (T hurstone I n te l li g e n c e ) 8. L -Score (T h u rsto n e I n te llig e n c e ) 9 . G eneral Score o r T o tal T h u rsto n e I n te l li g e n c e Score 10. Seashore P itc h 11. Seashore I n te n s i ty 12. Seashore Time 13. Seashore C0nsonance 14. S eashore T o ta l Memory 15. Seashore Rhythm 16. M eier-S eash o re A rt Judgment 17. M innesota Humber Checking 18. M innesota l\Tame Checking 19. R ev ised M innesota P aper Form B oard 20. M innesota S p a tia l R e la tio n s (S h o rt Form) 21 . M innesota Assem bling T est (S h o rt Form) 2 2 . C'Connor F in g e r D e x te rity 23 . O'Connor Tweezer D e x te rity sJ A- 55 I I I . THE RESULTS The E recuency D is tr ib u tio n s The o r ig i n a l sc o re s o f th e e ig h ty s u b je c ts fo r th e tw e n ty -th re e v a r ia b le s a r e p re s e n te d in appendix I . The h isto g ra m s r e p r e s e n te d in th e fo llo w in g g rap h s in d ic a te the d i s t r i b u t i o n s of th e sc o re s o b ta in e d f o r each o f th e v a r ia b le s th a t were u se d in th e stu d y . The ran g e, a r ith m e tic mean, m edian, s ta n d a rd d e v ia tio n , skewness and k u r t o s i s accompany each f i g u r e . from G a r r e tt (2 4 ). The s t a t i s t i c s were ta k en Of th e s e , th e moot im p o rtan t form ulae a r e f o r skewness and k u r t o s i s . These a r e : - sk * *90 + p 10 " p 50 2 Ku s Si (P 9 O « P io ) 27779 r r * Table I i s a summary o f the f in d in g s . The sv ab o ls u s e d in th e t a b l e a s w e ll a s in th e f i g u r e s a r e as fo llo w s ; 56 S.D. » Standard, d e v ia tio n Pgg s 9 0 th p e r c e n til e (<3 • 7 5 th p e r c e n t i l e Ql <= 2 5 th p e r c e n til e P^q a 1 0 th Sk Skewness = p e rc e n tile <^sk ® S tan d ard d e v ia tio n o f skewness Sk_ <7 sk R a tio o f skev«nesr to i t * s ta n d a rd d e v ia tio n . This i s need to in d ic a te th e s ig n if ic a n c e o f th e e x te n t o f skew ness. Ku 3 K u rto s is <f)ssx ~ S tan d a rd d e v ia tio n o f k u r to s is Ku ^ku R atio of k u r to s is to i t s s ta n d a rd d e v ia tio n . I t i s u se d to in d ic a te s ig n if ic a n c e o f th e e x te n t o f k u r t o s i s . The Ku (kur'tbaifc) in t h i s in s ta n c e r e p r e s e n ts th e d e v ia tio n from normal kurtosis,(inesokuf.tosis'}"-w hich i s .263. The p e r c e n t i l e s a r e u se d in th e c a l c u la tio n of k u r to s is and skew ness, a s can be seen from th e fo rm u lae. E xam ination of th e freq u en cy d i s t r i b u t i o n s i n d i c a te s th a t most o f th e v a r ia b le s s a t i s f y th e c r i t e r i a o f a normal c u rv e . Only two v a r ia b le s a re s i g n i f i c a n t l y skewed. These a r e th e T hurstone Same-Opposite T e s t, an d th e M innesota S p a tia l Re l a t i o n s T e s t. A lthough th e skewness f o r th e M innesota S p a tia l R e la tio n s T est i s p o s i t i v e , i t i s to be remembered in t h i s t e s t , a s w e ll a s in th e O'Connor F in g e r and Tweezer T e s ts , th a t a low s c o re , in c o n t r a s t to th e o th e r v a r ia b le s , in d ic a te s s u p e rio r perform ance; so t h a t i f th e arrangem ent 57 o f th e sc o re s on th e M innesota S p a tia l R e la tio n s w ere s im ila r to th e arrangem ent f o r th e o th e r v a r ia b le s , th e skewness would r e a l l y have been n e g a tiv e . Hence, th e Same-Opposite and M innesota S p a tia l R e la tio n s t e s t s ap p ear to be too sim ple f o r th e s u b je c ts u se d in t h i s ex p erim en t. The P itc h and I n te n s i ty p o r tio n s of th e S eashore Music t e s t s show f a i r l y h ig h d eg rees o f n e g a tiv e skew ness. W ith r e s p e c t to k u r t o s i s , no s i g n i f i c a n t "peakedness" i s re v e a le d f o r any o f th e v a r ia b le s . However, th e T h u rsto n e llnmber S e r ie s , th e Seashore Rhythm, and th e M innesota A ssem bling er T e s ts in d ic a te s l i g h t l y hig h Ad eg ree s o f p la ty k u r to s is w h ile the M eier-S eash o re A rt and th e M innesota S p a ti a l R e la tio n s t e s t s show s l i g h t l y h ig h d eg rees o f le p to k u r to s is . On th e b a s is of th e fo re g o in g i t can be 3 een t h a t mos t o f th e m a te r ia ls u se d in t h i s stu d y conform , on th e w hole, to th e d i c t a t e s of th e normal cu rv e c r i t e r i a . The p o s s ib le ex c e p tio n s seem to be th e M innesota S p a tia l R e lr tio n s T e s t, w hich i s v ery h ig h ly skewed and somewhat s i g n i f i c a n t l y le p t o k u r t i c , an d th e T hurstone S en e-O p p o sites T e s t, w hich i s v e ry skewed. A propos t h i s l a t t e r t e s t , T hurstone r e p o r ts s im ila r fin d in g s f o r i t , s t a t i n g th a t i t was to o easy f o r th e more than 9 ,0 0 0 s tu d e n ts th roughout th e c o u n try who to o k i t , and in d ic a tin g t h a t i t would be m o d ifie d in subsequent e d i tio n s . F ig u re I D is tr ib u t io n s of S co res in th e Thurctone A r ith . Rensoning T est H = 00 Score 19 18 17 16 15 14 13 14' 12 12 11 10 9 8 7 6 5 4 F re q . 1 2 1 1 2 2 8 c 6 12 10 14 8 6 2 Frequency 4 5 6 7 Range - 4-19 Mean = 9.01 Median = 8 . 5 0 C = .01 S.D. * 3.12 8 9 10 11 12 13 14 15 16 17 18 19 20 Score P90 = 12.50 Sk -1 .2 3 Q3 = 10.40 <Tsk <£L » 6.29 Ku = .294 = P la ty k u r tic P10 a 5.50 CTlcu = .031 Sk = .50 Ku - 1.0 0 0 s k = .406 TOT Figure II D is tr ib u tio n s of Scores in th e Thurstone A nalogies Test N = 30 S core 18 17 16 15 14 13 14-1 12 11 10 9 12- 1C- Frequency 76- 32_ 4 Sange = 0-18 Mean - 13.16 Median = 13.35 0 = 1 .1 6 S .D .- 3 .90 5 t— i— i— i— j— i— '— r i' |>— r— 8 ’9 10 11 13 13 14 15 16 17 18 19 Score P90-16.67 — ■=. - .3 4 Q3 =15.42 08k Q1 =10.50 Ku = .25 0 = L ep to k u rtic P10 = 7.50 <fku=. 031 Sk = -1 .7 8 Ku .42 <Tsk =.528 (TrC U 6 7 14 7 6 3 nA 3 2 4 7 2 6 - 0 9- 11 8 C 4 r? V 2 •a.y 11 = F re e . 5 9 1 1 1 1 Figure III D istr ib u tio n o f Scores in the Thurstone Ko. S eries Test N = 80 Score 19 18 17 16 15 14 13 12 12t 11 10 9 8 7 6 5 4 3 1L. 10 . **i 7iD *2 ® 64 o 2_ 1- T 8 Hr.rge =3-19 Mean = 1 0 . 6 6 Median = 1C.11 C = - 1 .3 4 S.D. = 3.72 — i— i— i— i— i— i— i— — — r 10 11 12 13 14 15 16 17 18 19 20 Score P90 = 15.40 Ku = .311 Q3 = 12.71 — , 031 Q1 = 7.17 Ku___ 1 . 5 5 P10 = 6.50 tfku " Sk - .84 tfik = .52 Sk _ 1.62 tfsk Freo 2 5 2 6 7 7 9 7 2 12 10 3 3 Figure IV D is tr ib u t io n T hurstone £ N = 80 Scores ir e ± . 1 1 0 -t 9- ■ 8- - 7-. Frequency 5-. n 1!3 1*5 I1? 19 i l ^3 i s 27 29 31 33 .^5 ^7 39 414& 45 47 49 i l 53 Score P90 = 44.50 Hr.rge - 1 2 - 5 1 Ku = .266 = M eaokurtic QJ3 - 38.50 Menn = 32.82 tfk u = .031 Median = 32.29 qj. = 26 .8 0 Ku _ .10 Sk = .21 C = .6 8 <Tku ^ ■ k - 1.27 S.D. = 8.46 Sk _ .17 f sk Figure V D istr ib u tio n o f Scores in Thurstone Completion Test Score 26 25 24 23 22 F req . 1 1 1 2 1 21 3 20 19 15 17 16 15 14 13 2 12 11 10 S 3 5 4 5 5 8 8 3 6 3 2 2 2 1 2 1 6_ £ requency ) 4 51 ^7* Range = 1-26 Mean ** 14.06 Median = 13.20 C - - .9 4 S.D. - 5.28 & 4 ll0 i l l b l b l ,4 lf e J ,6 lV lle i 9 2 'o i l ^ 2 ^ 3 ^ 4 ^ 5 i6 27 P90 *» 20.33 33 = 17.67 01 - 1C. 50 P10 s 6.50 — .2 2 ^ s k = .801 Sk _ .27 (fsk Ku = .260 » <fku = . 031 Ku - .10 <Tku Figure VI D is tr ib u tio n o f Scores in the Thurstone A r t i f i c i a l Language Test 8 Score Freq, 37-8 ' 3 35-6 5 2 33-4 31-2 5 4 29-30 27-8 5 6 25-6 9 23-4 2 1 -2 3 19-20 1 0 6 17-18 15-16 5 7 13-14 1 1 -1 2 4 5 9-10 7-8 5-6 1 3 -4 - 2 ... 3 Range » 3-38 Mean * 2 2 .1 0 M edian = 21.34 C a 2 .5 0 S.D.= 8.12 ♦ $ l i ife ih iV ife 2 i i z 2 b 2*7 29 31 33 3^ 37 39 Score P90 a 34.50 KU » , 264 = M esokurtic (p m - .031 Ci3 = 2 7 .6 0 qx T. 15.20 Ku = .03 P10 a 11.00 Q-kk Sk = 1.41 (fsk a 1 .3 6 §k_ a 1 .0 4 (Jek C- Figure VII D istr ib u tio n of Scores in Thurstone Same-Cpoosite T est N - 80 S core F re 49-50 33 47-8 18 4J>-6 43-4 41-2 39-40 37-8 35-6 33-4 31-2 29-30 27-8 25-6 23-4 21-2 19-20 17-18 15-16 13-14 11-12 9-10 3432. 30 ■ 2826* 24. 22. Frequency 2018. 16- 14-1 12 10 8 - 6 - 4 2 - & ^3 1*5 1*7 ^9 k Range - 10-50 Mean = 45.66 Median = 47.22 C a 2.16 S.D.= 6.38 ihs if d s, Jh? bk Score P90 = 49.53 (^3 - 48.78 q i » 43.78 P10 = 39.00 Sk = - 2 .9 5 <fsk = . 610 Sk s 4 .8 3 (fsk 3J:1 h . i— i— i— I— F— i— r 3 5 ^37 7 ^39 41 43 45 47 49 51 35 Ku - .274 - P la t y k u r tic (j"ku s* .031 Ku a .35 F ig u re V III D is tr ib u t io n of T hurstone L - S cores E « 80 Score F re q . 108-110 1 105-107 3 102-104 3 99-101 5 6 96-8 5 93-5 90-2 87-9 5 84-6 9 81-3 78-80 11 75-7 4 5 72-4 69-71 3 1 66-8 6 63-5 60-2 57w9 3 54-6 1 51-3 48-50 1 2 45-7 11 -r 10 9 -■ 8 -■ iCouaabaj^ 7 6 -• 5 -• 4 -• 4fe 4fe 51 54 5*7 60 63 6fe 6 ^ 7% 7*5 7% gfi ^4 8*7 ^0 Score Esnge - 46-109 Mean = 81.94 Median ~ 81.00 C = 2 .9 4 S.D. = 14.73 P90 a 99.20 Q3 = 93.80 01 a 72.80 P10 = 62.50 Sk s - .1 5 G sk = 2 .1 3 Sk - - .0 7 tfe k ^ 6 9 & oi 10*5 108 111 Ku a .286 = P la tjr k u r tic tfk u - .031 Ku = .7 4 (fko. F ig u re IX D is tr ib u t io n o f T hurstone In te llig e n c e - G e n e r a l Scores IT = 8 0 Score E iss , l 155-9 150-4 3 2 145-9 4 140-4 135-9 5 7 130-4 125-9 5 120-4 5 7 115-19 8 110-14 11 105-9 6 100-4 4 95-9 90-4 4 2 85-9 80-4 1 2 75-9 70-4 1 65-9 50-4 1 55-9 1 11-. 10 . 9.. 8 .. 7.. Frequency 6 .. 5.. 4.. 3.. 2-. 1 .. " i i r~ 75 85 Range = 59-157 Mean - 114.88 Median = 113.33 C = 7.88 S.D. = 20.90 —f— t— i— r 95 105 115 Score P90 = 141.50 0,3 a 130.45 Qi = 102.33 P10 = 89.50 Sk = 2.12 f i k = 3.01 Sk a .70 (fs k !— I— 1— i— I— r— I” 125 135 145 155 Ku - .270 = P la t y k u r tic (Jku = .031 Ku - .23 (peu Figure X D istr ib u tio n of Scores in the Seashore P itc h Test N = 80 Score F re o . 90-92 1 8 87-89 7 84-86 12 81-83 6 73-80 75-77 5 8 72-74 F 69-71 w 66-68 3 65-65 5 60-62 1 57-59 3 7 54-56 51-53 1 48-50 3 45-47 1 2 42-44 2 39-41 12 •, 11 - 10 - 9 2 8 -| •s.9 US O *< 7J 6 . 4- 2- 1 . 39 Id Range » 39^91 Mean » 71.43 Median a 73.63 C = 1 .4 3 S.D. s 13.548 T T “ 57 "T"'"I... 63 Score P90 = 86.31 0.8 = 82.00 Q1 = 62.50 P10 = 50.50 Sk - - 5 .2 2 C sk = 2 .0 7 Sk S3 -2 .5 2 (fsk T " 69 -I— 75 81 87 93 Xu = .272 = P l a t y k u r tic (pku - . 031 Xu a .29 (Pax Figure XI D is tr ib u tio n o f S cores in S eash o re I n te n s i ty Te 3 t N a SO Score 97-8 95-6 93-4 91-2 89-90 37-S 85-6 83-4 81-2 79-80 77-3 ->5-6 73-4 71-2 69-70 67-S 65-6 63-4 61-2 59-60 13 12 - 11 - 10 - 3 - Frequency 6. 4, 3- 59 6a Sange - 59-97 jilesn a 36.50 Median a 88.25 C a -1 .0 0 S.D. = 8.24 57 mr~ n -i— i— r— 75 79 83 Score P90 = 9 4 .5 0 32 = 92.50 a 81.75 P10 = 75.50 SjC a "*3.25 tf”sk a 1 . 1 0 Sk _ - 2 .9 5 I I" I I 87 91 95 1 99 £u a .284 z P la t y k u r t i c <fku = .031 Zu (Tku z .6 8 Freq, 2 8 10 13 8 6 5 7 7 3 3 m m 1 2 2 1 a* m m 2 Figure XII D istrib u tio n . o f Scores in Seashore Time Test Score ffreci. 90-92 1 87-89 5 7 84-86 9 81-83 78-80 13 75-77 17 72-74 10 69-71 7 66-68 5 1 63-65 60-62 1 1 57-59 54-56 51-53 1 1 48-50 45-47 42-44 39-41 36-38 33-35 30-32 1716. 15. 14, 13. 12. 11 . 10 , requency •*i o 97. 6 54 4 3. 2 36 “ Range - 30-91 'viean = 75.67 MediaiF376.28 C = 2 .6 7 S.D. = 9 .1 5 r1 F 49 ' 54 66 Score P90 = 85.14 Q2 a 80.67 01 = 73.60 P.10 = 66.20 Sk = - .6 1 <fsk = 1 . 1 0 Sk_ a - . 5 5 tfek k ' h ' 76 ' 8i ' 90 Xu - .240 a L e p to k u rtic (fku = .031 Ku = • 74 (fku fi! ! Figure XIII D istr ib u tio n o f Scores in Seashore Consonance Test N - 30 Score 40 39 38 37 36 35 34 33 32 31 10 F re q . 2 29 28 27 26 25 24 23 22 9 8 7 Frequency 6 5 4 3 O 21 Score Range - 21-40 iiean a 32.51 Liedian =» 32.50 C = 1.51 S.D* — 3.66 P90 a 36.57 <^3 = 34.83 C& = 30.50 P10 = 27 .5 0 Sk = - .4 6 (J”sk — . 53 Sk - - .3 7 tfbk Ku a .239 = L e p to k u rtic <fhi = .031 Ku - .77 ( f ku Figure XIV D istr ib u tio n of Scores in Seashore Tonal Memory Test N a SO 10 9 8 7 . 4^ 6s-*'. bnO £a> i s j Score F ree 48-48 4 45-46 6 43-44 4 41-42 5 39-40 5 37-38 5 35-36 1 0 33-34 6 31-32 5 29-30 5 27-28 7 25-26 8 23-24 2 2 1 -2 2 5 19-20 1 17-13 15-16 1 4 . 3 . 2 . 1 - 15 Range = 15-43 Mean - 33.82 Median = 33.67 6 = .32 S.D. = 8.00 19 h ’ h Score P90 = 4 4 . 6 7 t*3 a 39.60 a 26.86 PIC = 23 .0 0 SI: = .21 sk = 1 .2 6 Sk = .15 C sk “* o5T 39 * 4^ TT Xu - .294 ~ P la ty k u r tic (Jku = .031 Ku — 1 .0 0 (f ku Figure XV D is tr ib u t io n o f S cores in Seashore Hhythm T est N = 80 lO -i 98 - 76- Frequency c_ 4- a. n ■ 1 - 25 ' Hange - 25-49 Mean = 39.46 Median - 33.80 C a .46 S.D. = 4.9 6 29 ’ t — — i— i— r~1 — i— i— r T 1“ t — r~ 33 35 3? 39 41 43 45 S ccre T90 = 45.50 (£5 = 42.67 <41 a 35.50 F1C = 33.40 Sit = .65 = *70 3k - .93 (Jsk Zv. f b = Ku tf ’ku Score 49 48 47 48 45 44 43 42 41 40 39 38 37 35 35 34 33 32 31 30 29 28 27 26 25 47 F reo. 1 2 3 4 3 4 9 4 4 4 10 4 4 8 5 5 — 1 2 2 _ 1 49 Figure X?I D is tr it iu ti c n of S cores in M eier- 8 e a s h c re A rt Judgment T ert N S 80 to co ro oi 4^ -J cn Score 109-110 3 107-108 3 105-106 103-104 4 101-102 3 99-100 2 6 97-98 95-96 11 5 93-94 91-92 10 89-90 87-88 85-86 83-84 81-82 79-80 77751 73- 10 6 . -ID ■ en> 5 op 4_ 2 . "t ? Hange = 73-110 Keen a 91 .8 4 .Median = 91.70 C a 3 .6 6 S.D. = 8 .6 4 H bI r-i i r-el S core P90 = 103.00 ^3 = 96.33 Cil = S6.5C P10 = 79 .0 0 Sk = - .7 0 (fkk = 1 .3 9 Sk a - .5 0 (Jsk —r 93 — 97 1 101 105 Xu = .205 = L e n to k u rtic (pTi a .031 Ku - 1.55 1C-i i£0U8nb<jJ£ 7- Figure XVII D is tr ib u tio n o f Scores in M innesota C lerica l Number Checking T est N = 80 Score F re q . 170-174 l 165-169 160-164 155-159 150-154 4 145-149 2 140-144 5 135-139 5 130-134 7 125-129 10 120-124 7 115-119 1 110-114 7 105-109 9 100-104 6 95-99 5 90-94 3 85-89 3 2 80-84 75-79 1 70-74 1 65-69 60-64 6- 5432 - 1- 60 70 8C ?h ' l b o ' i i o ’ 120 1 i'oo ' i'140 150 “ I---16^ 170 Score Barge = 64-172 Hean = 117.45 Median = 119.70 C - - 4 .5 5 3.D. — 21.15 P90 = 143.00 03 =» 131.81 01 = 102.33 P10 = 89.50 3k = - 3 .4 5 (fsk = 3.10 Sk » -1 .1 1 (Jsk Xu * .276 ** P l e t y k u r t i c (jlcu «• .031 Xu a .42 (TtoT Figure XVIII D is tr ib u tio n of Scores in Minnesota C lerica l Name Checking Test N a 80 8 Score F r e q . 190-194 1 185-189 180-184 4 175-379 3 1?0-174 5 165-169 3 160-164 3 155-159 6 150-154 3 145-149 2 140-144 5 135-139 2 130-134 6 125-129 7 120-124 8 115-119 5 110-114 3 105-109 4 100-104 2 95-99 2 90-94 1 85-89 2 80-84 75-79 2 70-74 65-69 60-64 1 "I 6 Frequency 4 - 2 - — — — i— '— i— i— i— i— I— i— i— |— i— i— |— i— i— i— i— i— r 60 70 30 fipriCTR 3 60—194 Mean = 135.75 Median - 131.50 C = 3.75 3.D. = 28.60 90 100 110 120 130 Score £90 = 174.50 03 = 158.17 Q1 a 117 P10 = 99.50 Sk = 5.50 (Jsk = 4.35 Sk « 1.26 (Jsk 140 150 ISO 170 180 190 Eu = .274 a P la t y k u r tic 6"ku = . 031 Eu n .35 (j-ku Figure XIX D istritru tio n o f Scores in R evised Minnesota Paper Form Board Score F req, 61-63 1 58-60 55-7 3 1 52-4 6 49-51 46-8 10 13 43-5 40-2 8 12 37-9 12 34-6 31-3 23-20 4 op M /D—or j.•e 3 2 3-4 19-21 16-18 1 10 - o- SS-i (D >f.9 !T) 9 65432* 1- Range : : 17-63 Mean - 40.22 Median = 39.75 C =» - .7 8 S.D. = 8 . 2 6 “ i— |— i— r— »— i— i— r - "1— T— r— 16 IS 22 25 28 21 34 3? 40 43 46 49 52 55 58 61 64 Score (jsk - 1 .3 5 Ku c .222 - L e p to k u rtic P90 = 52.50 *3 = 45.30 Sk - .8 4 (j lcu = -031 ^sk Ku - 1.00 = 34.50 tf k u P10 = 29.25 Sk = 1.13 Frequency F ig u re XX D is tr ib u tio n o f Time S cores in M innesota S p a tia l d e la tio n s T est(B o ard s A com bined). Iff = 30 Score 950-74 925-49 900-24 875-99 850-74 825-49 300-24 775-99 12 -» 750-74 725-49 700-24 11 675-99 650-74 625-49 10 600-24 575-99 550-74 9525-49 50CV.24 475-99 450-74 425-49 400-24 7375-99 350-74 6- 32- 350 400 t— r 460 Range = 372-957 Mean ■> 556.75 Median = 515.67 C = - 5 .2 5 S.D.= 1 3 0 .CO 500 t 5510 — r - eoo 1— I— r 700 i— r 750 800 850 900 Score P90 = 749.50 ^3 = 599.50 Q1 = 471.75 P10 = 427.50 Sk = 72 .8 3 (fsk = 18.65 Sk - 3.91 tf s k Ku » .198 a L e p to k u rtic (Tku = .031 Ku - 2 .1 0 (T1™ & B, F re^ . 1 1 1 1 2 1 1 2 1 4 2 3 7 2 8 9 12 8 7 4 1 2 F ig u re XXI D is tr ib u t io n of S co res in th e M innesota Assembly Box (T o ta l boxes 1 & 2. Combined) N = SO C MC M Score -creq. 196-200 191-95 186-90 3 81-85 176-80 171-75 156-70 3 161-65 156-60 4 9 151-55 146-50 141-45 136-40 131-35 4 126-30 3 v 121-25 116-20 3 2 111-15 106-110 1 101-1C5 9 6 -ICO 91-95 86-90 81-85 76-80 **1—7C 6S-70 <0 C O O- 9 8- 6- Frequency 54- 1 , — ob ,— 76 - i—i—r86 96 Senge = 68-200 Mean = 156.00 Median = 157.50 C = 3.0 0 S.D. = 23.2 5 T 106 I'lS 11&6 ' 136 ' Scor° P90 = 184.17 qp = 175.63 QX = 136.67 P10 = 121.00 31c = - 1 .9 1 tf’sk - 3 .6 6 Sk - - 1 .3 4 iW h e 1 196 1^6 ' i'o6* lie 11 Ku = .308 ~ P la t v k u r tic ( ) \ u s .031 Ku - 1 .4 5 (pCa !-* i: t.s Figure XXII D is tr ib u tio n o f Time Scores in ths O'Connor Finder D ex terity Test N * 80 Score F ree, 391-400 1 381-390 — 371-380 1 361-370 X 351-360 341-350 — 331-340 — 321-330 1 311-220 301-310 2 291-300 o 281-290 8 271-280 8 261-270 7 251-260 10 241-250 11 331-2.10 11 221-230 4 211-220 7 201-210 4 191-200 2 11 10 g 8 7 6 5 4 3 2 1 191 211 231 F-ange - ''96-394 Kean = 256.00 &€dian = 251.00 C = -9 .5 0 S.D. = 36.70 251 271 291 Score 311 P90 = 290.50 Q3 = 275.00 QX « 232.70 P10 = 212.90 Sk = .70 tf s k = 4.50 -16 Q sk 331 351 371 391 Ku a .273 = P la t y k u r t i c 0"ku = . 031 Ku = .32 0 -k u Figure XXIII D istr ib u tio n o f jJime Scores in the O'Connor Tweeter D ex terity T est H = 80 10 Score Free 2 636-650 621-635 606-620 1 591-605 576-590 561-575 4. 546-560 531-545 516-530 i 501-515 486-500 i 471-495 5 456-470 4 1 441-455 8 *26-440 6 411-425 396-410 10 10 381-395 10 366-380 C w 351-365 336-350 5 5 321-335 306-320 1 2 3Q1-305 - 9 _ 8 _ 6_ Frequency 5. 1- 291 —J w —r ~ 321 ^ T 1 38'l ' 411 ' d l ' 471 Score Range - 291-645 lleen = 403.90 H elie n = 393.50 C = -2 9 .1 0 S.D. = 64.50 F90 = 476.00 Q3 = 430.70 Q1 = 362.20 PIC = 335.50 Sk a 12.25 sk = 8 .1 4 Sk g 1 .5 0 sk 501 —j— \— i— r 531 561 591 621 651 Ku s .244 = L e p to k u rtic ku - .031 Ku - .61 ku 8 c 'iw o o t'jio v j< io < n c o ^ < r> -Q '< i'in c 'jio o o u iN <o xj< in r-(i-IO C 00-03P 3tf> 0-0-O < O in ^ t0O r-l*< C 0 r “( a I HN H rH of S cores COCO to COCOCOCOCO to to to CO to to COCOto to COCOCOCO to o o o o o O o O o o o o o• a O• o o• o O o• o• o o• • « • ■ • • • • • • • • • • • ■ • Q cn in to CO CO to ■»!< (O o <o (£> to o - 00 o- K- co H4 to cn o> o o - o- to 01 o COCM 03• 03• 03 03• 03• 03• 03• 03 03 CM 03 03 03 03 rH CO 03 • • • • • • • • • • • o iH t o o of the D istrib u tio n ■Hi1 rH 03 • .2 cn w CM 03 • N to iO N n o o )riM O O < o o in (n iQ H n c o c > n n io co iH I rH rH ^ I t 0 3 CO r -t I I I i-l I I tO — 1 — * o r H i n • in to • • lO 0 0 • • rH L fi 0 0 • • r jt • • O • rH rH rH O tH • • » CM CO CM r H • iH CM CM 0 0 • «H ■ i n CO rH • • H4 r H r - rH «H t o I • • * CO 0 0 tH rH in » o • C ^ • to in o> 0 0 • rH • t i l i t : t • rH i n r * 0 3 Ph I o o Pi c n CM r H CM CO <n in CM r* • • • • • • CM i n CO • • CO • • rH CO • • • • • CM rH CO r - CM c n ts oo- k 0 3 TABLE I D eviatio n, Skev.neas, and K urtosis it o o in in in in m o o m in in in o s in o ^ fo tn w c o in o o in H • • • • • • • • • • • • • • • • • • • • • • a W O l O '. O ' O l C - H P 3 IC i ph l O P - t o O J t o H 0 1 0 ! O l O i n < £ > 0 3 H t t i t f O i n O O - W N K O C O O W P303HN . r H c fl S3 o i n o i c o i n c \ 3 a D O O t o i n a > < n i n o t n i n r J o i n o o o - c 0 3 t o - - 0 3 3 * 3 'O O M O C K ) n « N W r H H Q ® I O « ) N O ^ H © 0 ) N rH rH r lH VHW N N 3 H H ^ O O ® C O O n N f : c O O cn P h K ! O n K H O * « a ) O o o o t 3 Q « o i O V o i w ® H f f l i o m u ) i o o rH rH rH tO rH o jT fo ito o o cn o o co to ^o ito in ’ifcno-c^to r H c H TfTi<o.ino-'X>cocoir)OV2o-cou3o-t‘3coo3toir3u>or• • • • • • • • • H H H H t • • • • • • • • ■ o r H r H I O 0 3 IOOHl • • • IOCOIOIPOtUtl]tf)HtOC-U3HOU]U)U)ClllOO • • • • • • • • • « • • • • • • • • • • H H H V O JK l'i'O iV aO O iC D n T y rJ'O ^ N in 'ta JC T iO rH H rH H O rH Ol ^ O J t O U 3 • ^ 0 ' ^ , C ^ C T > r ^ H O ' « 4 < l n t O T ^ ^ l n c O t O ' ^ , N C T i ^ O ' O O H O ) O a n H H l, O c n < O n o iO O O (0 0 3 (O n O tQ O U 3 CO n n t ' , o o i n o o i f l v O N s o c n t o c o u K n H m o o Q W t o v r H Mesa, Median, Standard ' O 00 in 4 0) 00 a • cn• r H • CO O r H r H 0 3 r H 0 3 C 3 <o CO C O i n IN 00 e^ > in CO 03 CO CM o • • • • • • • • • • • • • • • eg r H r H CO CO GO tn 03 CO GO r — * CT> r H a r H CM 00 H c^ 00 c^ CO CO CO Oi r H CO iH r H r H C O 0 3 C O C O GO in o i n • • • • • r H cn in CO CO r H in m 05 in r H CM CO S O03O-00rHrHI0-OlCJ>'^, mO-lO00ir300ina00300OOOi • • • • • • • # (J) t ) O 03 <<i, 0 3 i r 3 r H T t < r H H O l f 3 M C O C T l r H O - L n Q ‘OHOHOt O a r . r H t O r H 0 3 ' ^ , a O r H r H N a 3 C ' t O t O C O C r i r H C O r l H O 0 3 ^ ' i n i f 3 l f 3 Q l O H M ^ V 2 o rH Ph P h I O i— I P h O 0) cn P h «SHCMN^HIO«Or-OOOOHO»CO^'IOHOt>-COOOrHOJtO > rH H H H H rH H H H H O lO S N O J 3 I O 0> P h to k CO in It 82 So f a r a s th e g e n e ra l s c o re s fo r th e v a r ia b le s a r e con cern e d , th e y ap p ear to he in co n fo rm ity w ith th e norms f o r th e same t e s t s w hich w ere r e p o rte d in o th e r in v e s t ig a t io n s , fo r in s ta n c e , Marowitz (40) in a p re v io u s stu d y o b ta in e d th e re s p e c tiv e ran g e, mean, and sta n d a rd d e v ia tio n o f ? l to 110, 39.07 and 4 .0 0 f o r 112 s u b je c ts on the M eier-S eash o re A rt Ju d g n en t T e st. This compares fa v o ra b ly w ith th e re s p e c tiv e ran g e, mean and s ta n d a rd d e v ia tio n o f 73 to 110, 91.84 and 8 .5 4 o b ta in e d in th e p re s e n t in v e s t ig a t io n . There ap p ea rs to be s im ila r agreem ent when com parisons a r e made w ith the norms o b ta in e d in o th e r e rp e rim e n tc . Prom Table I I , which compares th e p re s e n t norms w ith th o s e th a t a.re a v a ila b le th ro u g h o th e r s tu d ie s , i t i s a p p a re n t th a t th e se s c o re s do n o t d i f f e r a p p re c ia b ly from th e s c o re s o b ta in e d in th o s e o th e r s tu d ie s . T his would in d ic a te th a t random s e le c tio n p ro b ab ly o b ta in e d in th e ch o ice o f sub j e c t s u s e d in th e p re s e n t s tu d y . © u o o CMO<Mt0COCMOOCOO H O 'C -^N H P 0 6 -O > cn co co oo in cd to ^ © • • • • • • • • r H • CO C M rH o in fo u n d .) PO in TJ m in 01 be CO H rH 10 C O(0 O O • • •C •O•O •H H rH00 rH CM not TJ could O btained '111066 with •H - P c 4) o Jh © n« .c -p o m 3 S3 *3 r H r H m m CO »H CO >» o ^3 00 m ^ in o w r i m © o • • TABLE I I V a r i a b i l i t y for the P re s e n t Scores Other Comparable S t u d i e s * v a r i a b l e s i n d i c a t e s that c o m p a r a ti v e data • • • • • V . >> co cn t - s*4 c~ o cm 00 iH o o 00 tn CO U O «M © u o o 03 in C © o u © A m d • • • • in CO CM O rH co in h in o cn oo w t * H H rO H N C O C ^ O n 0 M •p o in c © © © T3 « H © CO some © bil ID rH m in absence C e n tr a l of ©© £) © *0 -P T3 w of Tendency end * *p •p U O u a c © •H > © © © s© T3 ©W e -p to co 09 - P © © © (The A Comparison rH T3 •H © «P Sh © © ~o O •O M CO •H u c o P4 a bl) •H •H • o >> •O <Q < < 5s <y o © o t: © rH •H *P *3 3* X -p oin o» o TJ • >» © © o> rH rH © O P* P« U t* o -p rH CMCO ^ in O t* 00 s O m ,0 © © •P Ou C io « iH * © •P C M * 84 3-'h e I n te r c o r r e la t io n s Among th e T e ste The c o r r e la tio n a l a n a ly s is h as been alm ost in d is p e n s ib le a s an a id in stn d y in g "m ental" a b i l i t i e s . The degree of r e la tio n s h ip s among th e a b i l i t i e s is re v e a le d through t h i s te c h n iq u e . H ie r a r c h ie s o f r e la tio n s h ip s in d ic a te the p o s s ib le p resen ce of common o r group fa c to rs . The i n t e r c o r r e la tio n s among a l l th e v a r ia b le s are shown in ta b le I I I . The c o e f f ic ie n ts o f c o r r e l a t i o n range from - .2 7 5 betw een th e M innesota C le r ic a l Name Checking and th e M innesota A ssem bling T e s ts to .9 4 4 between th e T h u rsto n e L -S core and th e T hurstone G ross S co re. However, i f th e , L- an d G ross S cores a re e lim in a te d from th e ta b le of in t e r c o r r e l a t i o n s , a s seen in ta b le IV, th e h ig h e s t c o r r e l a t i o n c o e f f ic ie n t th e n becomes .625 betw een th e Number Checking an d Name Checking t e s t s o f th e M innesota C le r ic a l . view of th e f a c t th a t the In L - , and G ross S cores have a somewhat dubious c h a r a c te r , i t ap p eared more f e a s i b l e to do th e co m putations w ith o u t them &b w ell a s w ith them in c lu d e d . I t . w i l l be observed from t a b le IV th a t th e c o r r e l a ti o n s a r e m a in ly p o s i t i v e , although r a th e r low, th e re b y in d ic a tin g s l i g h t d eg rees o f i n t e r r e la tio n s h ip s among th e a b i l i t i e s te s t e d . The h ig h e s t in tm r c c r r e la tio n s app ear to be among th e t e s t s , w hich a r e s a id to be components of th e same a b i l i t y . o v e rla p p in g th ro u g h o u t. There i s , however, c o n s id e ra b le The mean o f the c o r r e l a t i o n a l m a trix , t h a t i s , th e mean o f a l l th e c o r r e l a ti o n c o e f f i c i e n t s , in ta b le IV i s .1 4 8 . The Eean of th e c o r r e l a ti o n c o e f f i c i e n t s of th e s ix i n t e l 85 lig e n c e s u b - t e s t s i s .3 3 9 . The mean o f m usic s u b - te s ts i s .275. The mean o f th e m echanical b a t te r y , w hich i s composed o f th e two s p a t i a l t e s t e and th e assem bling box, i s .336} th e mean o f th e th re e m echanical and the two m a n ip u la tiv e t e s t s tak en to g e th e r i s .2 9 6 . The c o e f f i c ie n t o f c o r r e l a t i o n between th e number and name ch eck in g t e s t s i s .625, aibd th e c o e f f i c ie n t o f c o r r e l a ti o n between f in g e r and tw eezer d e x te r ity i s .3 4 9 . T hat th e c o r r e la tio n c o e f f i c i e n t s a r e h ig h e r f o r the to t e s t s which m easure th e same a b i l i t y th a n w ith t e s t s m easu rin g A th e d i f f e r e n t a b i l i t i e s may be seen in ta b le 7 . In t h i s ta b le a r e p r e s e n te d th e mean c o e f f i c ie n t s o f c o r r e l a ti o n o f th e t e s t s of th e same a b i l i t y tak en to g e th e r as w e ll a s th e mean c o rre l a t i o n c o e f f i c i e n t s f o r d if f e r e n t co m binations c f r e la tio n s h ip . T his seems to c o n tr a d ic t th e f in d in g s in a p re v io u s stu d y by th e p r e s e n t w r i t e r where i t was r e p o r te d th a t th e t e s t s w hich b e a r th e came name " . . . a re n o t s i g n i f i c a n t l y d if f e r e n t from th e in t e r c o r r e le tio n s among th e te 3 te th a t . a r e p a r ts of th e o th e r gro u p s. That i s , th e i n t e r c o r r e l a t i o n s among the 'm usic* t e s t s them selves do n o t seem to be in any o u ts ta n d in g manner e i t h e r h ig h e r o r low er th a n th e c o r r e la tio n s of th e s e t e s t s w ith the t e s t s o f th e ’a r t* and 'm echani c a l ' g ro u p s. The same may be s a id o f th e t e s t s w ith in th e a r t and m ech an ical a b i l i t y b a t t e r i e s . " The d if f e r e n c e in r e s u l t s is most p ro b a b ly due to th e d iffe re n c e in t e s t m a te r ia ls u se d . On th e w hole, th e p r e s e n t m a te r ia l ap p ea rs s u p e r io r , 3 ince i t was s e le c te d more c a r e f u l l y . A b ility to CM » 0 C O C O rH o• O• o• • 1 1 O • rH rH • in t n o o• o• o• rH H o• O• rH CO c * rH • I c h co CM rH i t n O • • rH • 1 o • • in CM (O rH • CM <© o• o• o• • I I I • CM H • CO H • lO O • C O O • i n rH • s#* rH • t > O tO O • rH rH tO r l CM • rH rH o • o• I CM rH rH • I c o CM rH CM rH CO CM o e - to • • o• o• Judgment, C lerical III TABLE the Tests of I n te llig e n c e , Musical A b ility , A rtis tic Mechanical A b ility , and Manual A b ili ty . Among In te r c o r re la tio n s rH rH • <© O • I I I • r l rH • • O O • • C O H 0 0 *H C0 tO CM CM • • CM O o » O H H t O ^ H m O O C O N c** N C O irt C O > I I CM © u C O t o OO # H • 00 00 CM CM CM • < J> CM rH « -H C ^ C 0 0 CM C O CM i n •H i i m CM o • C O O c m O : 43 o • 00 to 'O CM • CO CM • C < o • CO CO • 0 0 O CM CM CO CO CM e i— t • rH rH in o» rH O k rH • • fr- o o • • CO © • CO rH • C O CM • O k CM • O c lO • o o • C O CM • rH CM • e CM • O rH i n • m • b CO • 8• O CM CM • CM • i n rH • CM CM CO rH • C O rH • • i n CO C O o • • to o o CM • • t o CM • 0 0 rH C O i— 1 • • - I • • tg 00 rH • • O n o rH CM • CO • rH CO CM rH e - • c • m GO CM • C O rH • CM rH • CM CM • CM CO • rH C O • o • h tO rH • o m rH o • CO CO • CO rH • CM m • o o rH • in cm c o w o • CM rH • m rH o H > H P -H Vi © P X x© q© a 8 © © a S3 C • S 00 o rH o o CM CM CO CM a a a c oo o© o o © © to • © o C O rH B o M V* * H © P © < jO t* <oo»w c m h ^ o h h U m H CM • > » P • rl V . © P Li © rO U © ©M * S A A (tl au © G© a Pt* ^ 2 £ CO «< ££ CO c o o C O >» TJ a o bO CQ c ucC CO Vi I I I 8 (O O C h rH rH o CM H CM b - o • in • • CM CO • o * CO • to t £ O C O rH • 1 to rH • rH rH o• o » to 3 • CO CO • CO • 00 t o O rH © * • to t© c Q o o « • • 1 • 1 « s t* O • O • CO • CM • CM rH to • CO CM • O k rH • o rH • H co t s F CM • 1 > rH CO • >> • • CO rH e pH • c rH CM * CM in CM H • • frrH • CM rH • O k CM • rH CO • i n rH O CM rH • • • o• CO • CM rH • • B © © O H 43 ® © p Vi © p p a c c S< h h oo HO O CO • G P v. © a _S -x c o © © -! O k rH o c jC c • • 1 * • co rH ! O k »H .— 1 rH >> © I* O P •H 1 CO II 33 CM • 1 o c rH • *H o © a 43 ^3 a; _ © © Ih o 43 8 © © © CO 0 0 CO • G O H O rH • rH rH CO s s : I u s © •H © s CM rH C O rH ^ H i n to H H O lO to ' 0 O0 tO t- <o Ok VO G O t o i n CM C O 0 k CM O CM O k CM £ • C *» C - ^ ^ ^ m t - co to O CM o > CM m CM • 0 0 C O • o CM os f 00 0 C O • • c * CM • e CM © c o ^ t CM CM i n • • p h n * n © © •H S4 CM • • 4 3 t o e • t n • P •H GO t Li < 5 C O ? < 0 i n © Sh O o CO P • © rH C u ♦ rH c y o B o h O P 4 O r V i ; CO © CO © Vi O o CO 1 h !) o 8 8 8 o © B p © V* o o 91 © © o V i c o Ok © Si S 8 CM O r H C M C O < M 4 i n < 0 f r » G O < » O r H C M C O ' M * i n i O O O O 0 » O i >HCM 3 3 c w © ^ ^ p CM a © •H tu j © o CO rH • © E o 5 3 • < s o • rl H H H H r H r H H H H H N W C J rHCMCO'4*in<0£»COC> CMCMrH CMt- fc- rH 00 40 C rH OCOC» rH tn rH CMm Oe O• rH • rH • CMrH • • O• O• 0• 1 t 1 t <* COrH CMCMC - rH 00 e* 00 CMtn b- ** CMCMC Me- tn COm O ^ <*f V'* rH 0 O rH rH rH rH O O 0 O N H o o n n O • • • • • • • • • • • • • • e 1 1 1 1 a I OCO40 0> 40 tn 40 •H tn 40 O «* CMC COb* tn O CM 0* O b* CM M* -M *rH rH tn O rH O• • c O• • Oe rH e rH • O• 0• rH • CM CMrH CM CM M* 1 I 1 1 COCO00 00 rH rH H* b» 00 CM0> o0 2 o» 00 h w n rH rH 40 in oj o o n CMrH 0 0* rH 00 CO40 tnMO • • • • O• O• CMC e • • rH • O• 8 1 In te r c o r re la tio n e T/BLE IV Among the Teste of I n te llig e n c e , Musical A b ility , A r tis tic Mechanical A b ility , end Manuel A b ility . (With Thurstone L-, and Gross Scores Om itted) Judgment, C lerical A b ility CMtn 40 00 rH • • COCO40 O tn 00 tn 00 rH in m o 00 co 0 0> COCOO <0 <J> rHb- CM o> CMoo 40 C OrH CMCMO CO rH CMrH CM rH • • • • • • • • • • • ► © Vi CMCT> tn tn rH O CO40 CMCMm rH CO CMO • • rH • • O• • i-l <o o>e»rHt*jo«#cotn H K 0 O W C- rl io (fl O N r l rt Ol i—I '—I o w n O ' i ' O H O O O CM CM o wj »H OP p •H Xu H o © * tJs - a IS p O£ >% © t-. © £ «-c © -O Vi * g V* *H © © © © P S© U © c* ^ • S Pi 0 oj hQ © o © oa 0 Oh 2; 0* <n * 2 5 © I *o &0 3 S3 PQ © r H © 0 © O 00 MO O CMC tr OMC t- 0» Mco C CMio • • • • • T3 0 UO 0 0 O r l H W r l H r l O r l O 0 O 09 CT> O H CM CO 40 trH- 00 rH rH CM CM CM CM o>rt,i^e'coeMc»»in^'«ocoo»<o n m cM io M cM m M 'O OOHrlHOMHCMOn o 00 II *5 CO rH b- O CM rH CM tn 40 40 in © in 00 40 CO rH• Oe 000e O 0 0 CO O rH • • • • • • 0 1 tn CO CM CO 40 b- CM *H CO tn CO 00 tn rH CMe C rH O OrH • • • CM• CM• e CO• >1 P •H >» Vi o S c © ii 3 0 O H ^a < 0 ©P G G >» © O © U© P P O O tH O • O E-i § © Vi O ®£ 0 © fr- 0> rH«J CO lO rH 03 <0 ^ CM IO 00 CO 1 C CMr l H O CO • I e• • • e COo> COCO 00 GO00 0 00 0 CM rH rH rH • 0• • O• • • CM £o> ** 40 CM0 © GOO 0 40 MC M rH • CMC e • OC • • CMrH rH tn O 40 e* CMM • e* e • 40 © COt> tn b00 co• COC • M • 40 00 co co tn tn o 0v CM OrHCMCOm<0l>O<-HCMCOH*tntAb” OOO>QrHCM © X 0 £ O i n i n t - ^ r i t 'O i o i 'D o o l/)H )O C >IO H rlH lO in r l r l i f O CO CM l/> CO CO CM C Vi P & O ©S ^1 © ©c •H C © *H 3 3 cl o- O t c c- [- “i nOoPi io c'Jio r i> i ntnntn o io nN io ^ O © • -* -3 bU*H n 0 S O j ©©o o © **H «H a Ok *H Vi p P« • bo © © • o •C O Cft rH *m p H P *H •H &> • B P ©a Vi 0 O O Vi 0 < h; 53 o < cn © 0 o to ut t t r c 0 43 H p rH CM CO M 40 b» 88 TABLE V Mean C o e f f ic ie n ts o f C o r r e la tio n o f T e sts M easuring A spects o f Same A b i l i t y and o f D if f e r e n t A b i l i t i e s . I n te r c o r r e la t io n s Hana-o o f r ' s Mean r I n t e l l . te s t 3 alo n e Music " " Mech. " " (U e c h .-J la n ip u la tiv e )T e s ts I n t e l l . & Music " & A rt " & C le r ic a l 11 & Meek. " & M anipulat iv e (" & Mech.-LIanrp. )Ccm‘o ined Music & A rt " & C le r ic a l " & Mech. M & Manip. (" & M ech.-M anip.) Combined A rt & C le r ic a l " & Mech. " & Manip. (" _& M ech.-M anip.)Combined C le r ic a l & Mech. 11 & Manip. ( " £ M ech.-M anip./Combined Mech. & Manip. .1 9 ? .049 .228 .058 - .1 1 0 .077 .063 -.1 5 6 - .1 7 1 -.1 7 1 .036 - .0 2 5 - .2 2 3 - .0 5 8 - .2 2 3 - .0 1 2 .195 .033 .033 -.2 7 5 -.1 4 7 - .2 7 5 .058 .339 .275 .336 .296 .125 .168 .257 .090 -.0 2 5 .044 .117 .134 .10? .034 .078 .065 .246 .163 .213 -.0 1 5 -.0 9 9 -.0 4 9 .267 - .4 7 6 -.5 1 9 -.4 4 9 -.4 4 9 - .4 0 ? - .3 1 3 - .5 7 0 - .3 0 3 - .1 6 2 - .3 0 3 - .1 6 8 - .3 5 1 - .3 6 5 -.2 1 2 - .3 6 5 - .1 4 2 -.2 9 0 -.2 9 3 -.2 9 3 - .1 8 0 - .0 2 9 - .1 8 0 - .3 9 0 89 C e rta in h ie r a r c h ie s stand, f o r th p ro m in e n tly in ta b le V. ih e r e la tio n s h ip s between i n t e ll ig e n c e and c l e r i c a l number and name ch eck in g , a r t judgment and m echanical a b i l i t y , end m echanical and m a n ip u la tiv e a b i l i t y a re most o u ts ta n d in g . In a s im ila r way c e r t a i n n e g a tiv e r e la tio n s h ip s a re m a n ife s te d . For in s ta n c e , th e m a n ip u la tiv e t e s t s show no r e la tio n s h ip s w ith any of th e a b i l i t i e s , save m echanical a b i l i t y , and, to come e x te n t, a r t judgm ent. C e rta in p re v io u s c o n c lu sio n s a r e s u b s ta n tia te d from ex am in atio n o f th e c o r r e l a t i o n t a b l e s . Andrew and P a te rs o n (6) re p o rte d a c o r r e l a ti o n c o e f f i c i e n t o f .7 7 between th e c l e r i c a l number and name checking t e s t s g iv en to c o lle g e sophomores which compares fa v o ra b ly w ith r = .625 h e re o b ta in e d . in d ic a te d th a t th e averag e c o r r e l a t i o n E a r l i e r , i t w as c o e f f i c ie n t between i n t e ll ig e n c e and music t e s t s a s taken irom s e v e r a l d if f e r e n t s tu d ie s was .1 5 . T^ip ap p ea rs to be co n firm ed by th e p re s e n t averag e c o r r e l a ti o n o f .325 between th e m usic and in t e ll ig e n c e te s ts . In a p rev io u s stu d y (4 5 ), th e p re s e n t a u th o r showed t h a t the r e la tio n s h ip between a r t i s t i c a b i l i t y and m echanical a b i l i t y wes g r e a t e r th a n r e la tio n s h ip s between a r t and m usic, and m usic and m echanics. This ap p ea rs v e r i f i e d from th e r e s u l t s . The r e p o r t of r e l a t i v e l y low r e la tio n s h ip between m usic and a r t , which th e w r i t e r made p re v io u s ly , i s a ls o c o rro b o ra te d . 90 T ab les Vi and VII show th e s e p a ra te i n t e r c o r r e l a t i o n s found h e re among: th e T hurstone I n te llig e n c e T e sts and a ls o among th e Seashore Music t e n t s w ith th o se re p o rte d by o th e r re s e a rc h w o rk ers. I " ta b le VI th e i n t e r c o r r e l a t i o n s o b ta in e d in t h i s stu d y among th e in t e ll ig e n c e v a r ia b le s a r e compared w ith th e i n t e r c o r r e l a t i o n s re p o rte d b y Thurstone f o r 300 c o lle g e s tu d e n ts on th e same t e s t s . The mean r ' s o f .414 f o r th e s ix i n t e r c o r r e l a t i o n s , th e Q,, L, and Gross sc o re s o m itte d , compare fa v o ra b ly w ith th e av e ra g e of .339 re p o rte d in ta b le V. The o n ly se rio u s d if f e r e n c e s ap p e a r f o r th e Seme-Opposite t e s t w hich was shown to be v ery h ig h ly skewed, and r e a l l y u n f i t f o r e x p e rim e n ta l u s e . each c o r r e l a t i o n . Two f ig u r e s a r e r e p o r te d f o r The to p f ig u r e i s th e c o e f f i c ie n t o f c o rre la /- t i c n r e p o rte d by T h u rsto n e w h ile th e low er f ig u r e r e p r e s e n ts th e p re s e n t f in d in g s . From ta b le V II i t i s e v id en t t h a t th e re i s s u b s ta n tia l agreem ent between th e i n t e r c o r r e l a t i o n s which w ere found in t h i s in v e s tig a tio n and th e s e r e p o r te d by o th e r w o rk ers. The av erag e of a l l th e music i n t e r c o r r e l a t i o n s f o r t h i s stu d y i s .2 7 5 . mean i n t e r c o r r e l a t i o n i s .3 0 1 . D ra k e 's The means of the r ' s r e p o r te d by M u rse ll, Such and S to d d a rd , and Brown, a re r e s p e c t iv e l y .302, .4 1 , and .1 9 . The g r e a t e s t range is found in th e consonance t e s t where th e re i s a lso th e g r e a te s t u n r e l i a b i l i t y . 91 TABLE VI A Comparison o f th e I n t e r c o r r e l a t i o n s A^ong th e T hurstone I n te l l i g e n c e S u b -T ests R eported Here 7.’i t h the R e s u lts R ep o rted by T hurstone e t a l . ( 9 l ) (The upper f ig u r e i n each box re p r e s e n ts th e i n t e r c o r r e l a t i o n s r e p o r te d by 1'hur atone; th e l o r e r f ig u r e r e p re s e n ts th e c o r r e la tio n s in t h i s s tu d y .) V ariab le 1. A rith m etic 2 . A nalogies S. Ho. S e rie s 4. Or- Score 5. Completion 6. A r t i f . Lane. 3 .396 .290 5 .493 .556 .412 .438 4 .697 .762 .861 .747 .771 .837 5 .344 .376 .384 .339 .297 .287 .437 .418 6 .312 .252 .420 .401 .369 .476 .478 .521 .535 .414 7 .313 .197 .462 .286 .362 .202 .477 .267 . 645 .300 .269 ' 7. Same-Onoosite 8. L-Score 9 . Grose Score 8 9 .378 .551 .420 .600 .507 .709 .465 .639 .38S TB15S" — .465 .664 .552 .798 .567 .816 .816 .764 .695 .677 .826 .7 8 4 '...... .816 .787 Vfl'SB" . 831 .694 .622 .943 .944 92 TABLE VII A Comparison o f th e I n t e r c o r r e l a t i o n s ^Saong th e S eashore Music T e sts R ep o rted Here 'w ith th e R e s u lts R eported hy Brown (1 1 ), Ruch and S to d d ard (5 6 ), M u rsell (4 8 ), and Drake ( 2 1 ). (The l e t t e r s p re c e d in g th e c o e f f i c i e n t s a r e th e i n i t i a l s of th e i n v e s t ig a t o r s . The t i n i n i t i a l e d f i f t h c o r r e l a t i o n c o e f f i c i e n t s r e p r e s e n t th e r ' s o f t h i s s tu d y .) V a ria b le 1 . P itc h 2 . I n te n s i ty 3 . Time 4 . C0rsonance 5. Tonal Memory 6. Rhythm , 2__________3_________ 4__________ 5__________ 6 (B) .52 (B) .29 (B) .25 (B) .20 (B) .16 (H) .78 (B) .32 (R) .30 (B) .52 (H) (M) .22 (M) .30 (M) .49 Ui) .2 4 (H) .33 (D) .521 (D) .286 (D) — (D) .314 (D) .296 .337 .187 .519 .381 .334 (B)--.0 4 ( b ) .00 ( b ) .23 (B) .40 (R) .20 (H) .23 (B) .24 (B) — (M) .32 (M) .51 (1£) .28 GO .21 (D) .389 (D) (D) .153 (D) .176 .060 .126 .202 .319 (B) .09 (B) .20 (B) .00 (B) .48 (B) .28 (K) (M) .23 0 0 .29 (M) .09 (D) .239 (D) .244 O) — .132 .366 .253 (B) .22 (B) .00 (B) .75 (B) ------(M) .55 GO .09 (D) (D) ------.258 .049 (B) .33 (B) (M) .38 (D) .341 .506 93 Fa c to r A n a ly s is o f th e C o rre la tio n s Methods o f f a c t o r a n a ly s is r e p r e s e n t a h ig h ly u s e fu l tech n iq u e f o r stu d y in g th e o rg a n iz a tio n o f a b i l i t i e s . C o n cretely , t h i s h as meant th e re d u c tio n o f t e ^ t p erform ances in a wide v a r ie ty of s i t u a t i o n s to a r e l a t i v e l y sm all number o f e x p e rim e n ta lly de te rm in ed and o p e r a tio n a lly d e fin e d re f e r e n c e a b i l i t i e s , such a s v e rb a l a b i l i t y , num erical a b i l i t y , and th e l i k e . I t is p a rtic u la rly u s e f u l in c a s e s such as th e p re s e n t w here th e re i s c o n sid e ra b le o v e rla p among th e c o r r e l a ti o n s . In th e f a c t o r a n a ly s is tech n iq u e th e v a s t number o f c o r r e la tio n s a r e reduced to a r e l a t i v e l y em ail number o f fundam ental a b i l i t i e s . The T hurstone " c e n te r of g ra v ity " method o f f a c t o r i a l a n a ly s is (87) was u sed to determ in e th e lo a d in g s f o r th e fo u r ex t r a c t e d f a c t o r s in ta b le s V III, and IX. The T hurstone method of f a c t o r a n a ly s is i s a p p lic a b le to a la r g e number o f f a c to r s and v a r ia b le s , and i s n o t dependent upon th e absence o f group f a c t o r s fo r i t s a p p lic a tio n . M oreover, i t aims to g iv e a more com prehensive a n a ly s is th an t e t r a d a n a ly s is o*" the f a c t o r s in v o lv ed sin ce th e f i r s t f a c t o r lo a d in g s a re supposed to g iv e th e same in fo rm atio n as te tr a d a n a ly s is . In ta b le V III a re p re s e n te d th e f a c t o r s w ith th e T hurstone 2,-, Ir-, and G ross sc o re s in c lu d e d w h ile in t s b l e IX th e se v a r ia b le s 94 have been ex clu d ed . S ince th e s e th re e v a r ia b le s w ere d eterm in ed through p re v io u s f a c t o r a n a ly s is i t was decid ed to t r y an a n a ly s is w ith th e se v a r ia b le s o m itte d . The symbol h s ta n d s f o r th e communality of th e t e s t , w hich re p r e s e n ts th e sum o f th e sq u are o f th e f e c t o r lo a d in g s f o r each v a r ia b le . I f th e com m unality i s equal to u n it y th e r e a r e no s p e c if i c f a c t o r s p r e s e n t. The v a r ia n e e , o r what Thurstone c a l l s th e "u n iq u e ness" of a te a t e q u a ls 1 -h ^ . T his in d ic a te s th e e x te n t to whidi s p e c if ic f a c t o r s ( in c lu d in g th e sam pling e r r o r s ) a r e p r e s e n t. The f a c t o r lo a d in g s sq u ared in d ic a te th e p e rc e n ta g e s o f v a ria n c e in each t e s t a t t r i b u t a b l e to each f a c t o r . The sum o f th e f a c t o r lo a d in g s squared f o r each f a c t o r d iv id e d by th e number o f v a r ia b le s in d ic a te s th e t o t a l v a ria n c e f o r each f a c t o r . T his c o r r e s ponds w ith th e sum o f th e communality (h^) d iv id e d by th e number o f v a r ia b le s . The f a c t o r lo a d in g s in b o th ta b le s rem ain r e l a t i v e l y unrm odif le d w hether or n o t th e q - , L -, and Gross sc o re s a r e in c lu d e d . These v a r ia b le s show co m m u n alities th a t approxim ate u n ity .(m ) would in d ic a te th e la c k of s p e c if i c f a c t o r s in th e se v a r ia b le s . ^ h is It i s a commentary on th e alm o st p e r f e c t w e ig h tin g g iv e n to th e se v a r ia b le s by '^'hurstone. They r e p r e s e n t th e h ig h e s t lo a d in g s in f a c t o r one o f ta b le V III. (m) That th e co iw p u n alities f o r th e q- and L -S cores ex ceed u n i t y by v e ry sm all amounts i s p ro b a b ly due to such f a c t o r s a s e r r o r s in ap p ro x i m ating numbers, p ro b a b le e r r o r s in w eig h tin g , e t c . 95 TABI2 V III F a c to r L oadings f o r A ll V a ria b le s (Four F a c to rs , D eterm ined by T hurstone C e n tro id Method) N “ 80 F a c to rs 1 2 3 4 5 6 7 8 Q 10 11 12 13 14 15 16 17 18 19 20 21 22 23 I .562 .578 .648 .776 .539 .655 .416 .764 .890 .486 .375 .422 .114 .540 .263 .377 .355 .500 .457 .361 .138 .162 .14 3 II .191 .248 .316 .352 .252 .369 .277 .479 .448 -.4 7 4 - .3 4 4 -.1 0 8 -.2 9 4 -.1 8 9 - .1 4 3 -.1 8 9 .245 .332 -.2 5 5 -.3 6 7 - .4 3 3 -.3 6 0 -.3 8 3 III .329 .204 - .0 4 7 .252 .169 -.2 0 3 -.0 7 1 -.1 1 9 .153 - .1 9 4 -.1 5 9 -.2 1 3 - .2 1 3 -.5 6 1 - .4 4 5 .105 -.3 1 2 - .3 3 6 .083 .415 .427 .396 .361 IV -.2 6 3 -.1 6 7 - .4 0 6 -.4 9 1 .147 .197 .149 .313 .130 -.2 1 1 -.0 1 5 -.1 8 2 - .0 0 7 -.2 0 2 -.0 5 9 .293 .131 .290 .034 .046 .264 .119 .007 I2 .316 .334 .420 .602 .291 .429 .173 .584 .792 .236 .141 .178 .013 .292 .069 .142 .126 .250 .209 .130 .019 .026 .020 II2 .036 .062 .100 .124 .064 .136 .077 .229 .201 .225 .118 .012 .085 .036 .020 .036 .060 .110 .065 .135 .233 .130 .147 2.2s 5.792 2.442 S.*2 N 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. T hurstonei A r ith . ii A n alogies ti No. S e rie s ii Q,-Score ii Com pletion ii A r t i f . Lang. ii Same-Opposite h L-Score ;i d ro ss Score S eashore P itc h ti In te n s ity H Time H Consonance •1 Tonal Memory n Rhythm .2518 1.863 .1062 16. 17. 18. 19. 20. 21. 22. 23. III2 .108 .042 .002 .064 .029 .041 .005 .014 .023 .038 .025 .045 .045 .315 .198 .011 .097 .113 .007 .172 .182 .157 .150 .0810 IV2 .069 .028 .165 .241 .022 .039 .022 .098 .017 .045 .000 .033 .000 .041 .003 .086 .017 .084 .001 .002 .070 .014 .000 h2 .529 .466 .687 1.031 .406 .645 .277 .925 1.0 3 3 .544 .284 .268 .144 .684 .290 .2 7 5 .300 .557 .282 .439 .504 .327 .297 1.097 11.1 9 4 .0477 .4866 M eier-S eash o re A rt M innesota No. Checking " Name " " P ap er Form Board 11 S p a tia l R e la tio n s " Assembly Box O'Connor F in g e r D e x te r ity " Tweezer " 96 TABLE IX F a c to r Loadings f o r V a r ie tie s w ith T h u rsto n e g, and L and Gross S cores O m itted . ( lo u r F a c to rs , D eterm ined by T hurstone C e n tro id Method) N a 80 F a c to rs 1 2 3 5 6 7 10 11 12 13 14 15 16 17 13 19 20 21 22 23 I .486 .495 .566 .445 .559 .299 .566 .438 .430 .157 .583 .304 .400 .361 .485 .505 .429 .190 .199 .186 II .089 .231 .426 .188 .433 .312 - .2 6 0 - .1 9 4 .102 -.1 8 0 .194 .199 - .1 7 4 .367 .489 - .2 0 4 -.4 5 9 -.6 3 1 -.4 5 9 - .4 7 3 III .441 .260 .159 .280 - .0 1 1 .221 —.333 -.1 7 0 -.0 9 6 - .3 7 4 - .4 5 3 - .3 7 6 .186 - .2 0 8 -.1 7 1 -.0 6 6 .209 .233 .239 .106 IV - .2 6 3 .172 - .2 8 1 .072 .252 .201 - .2 2 6 - .2 0 8 .049 .172 - .2 0 2 - .1 9 0 .185 .119 .161 .199 .121 .163 - .1 6 2 - .1 8 4 £K2 £K 2 N 1 . T hurstone A r ith . 2. 11 A n elo g ies 3. " No. S e rie s 5. " Com pletion 6. " A r t i f . Lang. 7. 11 Same-Oppo s i t e 10. Seashore P itc h 11. " I n te n s i ty 12. " Time 13. " Consonance 14. " Tonal Memory 15. " Hhythm I2 .236 .235 .320 .198 .312 .089 .320 .192 .185 .025 .340 .092 .160 .130 .235 .255 .184 .036 .040 .035 II2 .008 .053 .181 .035 .187 .097 .068 .038 .010 .032 .038 .040 .030 .135 .239 .042 .211 .398 .211 .224 2.2 7 7 3.619 .1810 16. 17. 18. 19. 20. 21. 22 . 23. .1139 III2 .194 .068 .025 .078 .000 .049 .111 .029 .009 .140 .205 .141 .035 .043 .029 .004 .044 .054 .057 .011 3.326 .0663 IV2 .069 .030 .079 .005 .064 .040 .051 .043 .002 .030 .041 .035 .034 .014 .026 .040 .015 .027 .026 .034 .706 .0353 h2 .508 .386 .606 .316 .555 .275 .550 .301 .206 .226 .624 .309 .259 .322 .529 .341 .454 .514 .334 .304 7.929 .3965 M eier-S eashore A rt M innesota jfo. Checking " Name " " P aper Form B o a rd (re v .) 11 S p a tia l R e la tio n s " Assembly Box O'Connor P in g er D e x te rity " Tweezer 11 97 Four f a c t o r s ar*» a p p a r e n tly e f f i c i e n t in b o th in s ta n c e s to accoun t f o r th e c o r r e l a t i o n a l m a trix . I t was d e c id e d to s to p a f t e r th e fo u r th f a c t o r b ecau se th e f a c t o r r e s id u a ls were a l l ap p ro ach in g z e ro . F a c to r one seems to be a g e n e ra l f a c to r . th e v a r ia b le s , a lth o u g h in v a ry in g d e g re e s. I t i s p r e s e n t in a l l In ta b le IX f a c t o r one a cc o u n ts fo r e ig h te e n p e r c e n t o f th e t o t a l v a ria n c e o f th e t e s t s ; f a c t o r two f o r a p p ro x im ate ly elev en p e r cen t; f a c t o r s th r e e end fo u r fo r seven and f o u r p e r c e n t, r e s p e c tiv e ly . In a l l , th e fo u r f a c t o r s account fo r about f o r t y p e r cen t of the v a r ia n c e . The com- m u n a litie s in d ic a te th a t from about tw enty-one p e r c e n t to s i x t y two p e r cen t o f the v a ria n c e of th e in d iv id u a l v a r ia b le s i s ac co unted f o r by the f o u r f a c t o r s . T h erefo r?, i t co u ld be s t a t e d w ith much c e r t a i n t y th a t s p e c if i c f a c t o r s are p r e s e n t. A lthough a l l of th e e ig h te e n v a r ia b le s a r e p o s i t i v e l y lo a d e d w ith th e f i r s t f a c t o r , i t ccn be seen th a t th e r e a r e l a r g e d if f e r e n c e s i n some o f th e w e ig h tin g s . u 'lth th e Q-, L ,- and Dross s c o re s o m itte d , as in ta b le IX, th e re i s no d e f in i te h ie r a r c h y of h ig h lo adings* th e re b y in d ic a tin g th a t th e f i r s t f a c t o r i s a g e n e ra l, i n te g r a tin g f a c t o r . fa c to r. There a r e some c o n sid e ra b ly low lo a d in g s in th is These a re f o r th e m a n ip u la tiv e t e s t s , in c lu d in g th e Mechani c a l A sse m b lin g Bex, which in v o lv e s work w ith the h a n d s. The two extrem ely u n r e li a b le t e s t s , th e Consonance t e s t and th e Same-Opposite t e s t s a ls o r e v e a l low f a c t o r lo a d in g s . Andrew a lc o g o t th e lo w e st f a c t o r lo a d in g s fo r th e F in g e r and Tweezer D e x te rity t e s t s in th e f i r s t fa c to r. In a d d itio n , she a lso re p o rte d h ig h p o s i t i v e lo a d in g s 98 f o r the o th e r v a r ia b le s an d s ta t e d th a t th e f i r s t f a c t o r " . . . seems to h e m easuring a g e n e ra l a b i l i t y f a c t o r , one which entp h a s iz e s a b i l i t y in c l e r i c a l t e s t s . " The second f a c t o r h as ex trem ely h ig h n e g a tiv e lo a d in g s f o r a l l th e m echanical and m a n ip u la tiv e v a r ia b le s . The h i p e s t p o s i t i v e lo a d in g s a r e f o r th e C le r ic a l Number, and Name Checking t e s t s , and th e T hurstone Number S e r ie s , A r t i f i c i a l Language, and Same-Opposite t e s t s . I t i s n e c e ssa ry to remember t h a t n e g a tiv e and p o s i t i v e s ig n s may be changed a r b i t r a r i l y in a c e n tr o id f a c t o r a n a l y s i s , w ith o u t a l t e r i n g th e r e s u l t s . The second f a c t o r would, th e r e f o r e , ap p ear to be a f a c t o r r e l a t e d to m ech an ical and mani p u la tiv e a b i l i t y . T h is h ie ra rc h y betw een C le r ic a l Number and wame Checking a s w e ll as th e r e la tio n s h ip between th e s e a b i l i t i e s and some of th e in t e ll ig e n c e s u b - te 3 ts ap p ears to be v e r i f i e d . It would seem th a t th e second f a c t o r com prised two " s u b - f a c to r s ." One combines th e group f a c t o r s of m echanical and m a n ip u la tiv e a b i l i t i e s and th e o th e r em braces to an a p p re c ia b le e x te n t th e in t e l l i g e n c e and c l e r i c a l group f a c t o r s . F a c to r th r e e a p p a re n tly h as i t s h ig h e s t c o r r e l a t i o n s , on the w h o le, w ith the t e s t s of m u sical a b i l i t y i f th e sig n s a re in te rc h a n g e d . There seems tn be a s l i g h t co rresp o n d en ce between m usical a b i l i t y and c l e r i c a l a b i l i t y as w e ll a s betw een in t e ll ig e n c e and m e ch a n ic a l-m a n ip u la tiv e a b i l i t y . 99 F a c to r fo u r shows few h ig h lo a d in g s . S0me o f th e f a c t s re v e a le d in t h i s f a c t o r , n e v e r th e le s s , a re t h a t th e a n a lo g ie s t e s t may he c o n s id e re d a s much v e rb a l a s i t i 3 q u a n t ita t iv e ( p a r t of th e 0 ,-S co re). Also re v e a le d i s th e c o n s is te n t r e l a tio n s h ip between th e A rt Judgment t e c t and th e M echanical and M an ip u lativ e t e s t s . A lso , th e r e l a t i o n s h i p s , a l b e i t low, betw een c l e r i c a l and a r t judgm ent,and c l e r i c a l and m echanical a b i l i t i e s a re d is c lo s e d . The degree o f r e la tio n s h ip betw een f a c t o r s can be de term in ed s t a t i s t i c a l l y by f in d in g th e c o s in e s of th e an g le s betw een th e v e c to rs which a re e x p re s s io n s o f th e f a c t o r lo ad in g s . The f a c t o r lo a d in g s a r e p l o t t e d on a g e o m e tric a l s tr u c t u r e in a manner c o n tin g e n t upon th e number o f f a c t o r s which have been o b ta in e d . T>«us i f o n ly two f a c t o r s a r e o b ta in e d th e f a c t o r w e ig h ts o f each v a r ia b le a re p l o t t e d e« x end jr c o o rd in a te s w ith r e fe re n c e to th e c e n tre id axes I and I I . I f th r e e f a c t o r s e re o b ta in e d th e g e o m e tric a l p a t t e r n i s a sphere in w hich th e f a c t o r s a re a l l o rth o g o n a l, th a t i s , in r i g h t angle r e la tio n s h ip to one a n o th e r. F ig u re 24 r e p r e s e n ts r tw o -d im en rio n al r e la tio n s h ip betw een f a c t o r s I and I I , w ith com plete d is re g a rd to f a c t o r s I I I and IV. In o th e r w ords, i t i s a s i f th e f i r s t two f a c t o r s w ere th e on ly t r u l y s ig n ific a n t fa c to rs . The tw enty v a r ia b le s from ta b le IX a re p l o t t e d w ith r e s p e c t to th e two f a c t o r s . The d o tte d l i n e Pp i s drawn th ro u g h the elev en c o o rd in a te s a s th e av erag e o f th e p o s iti v e x and y c o o rd in a te s . P2 i s th e av erag e o f th e nin e n e g a tiv e c o o r d in a te s . The an g le (0) 100 F ig u re XXIV R e la tio n s h ip "between F a c to rs I an d I I (V a ria b le s Q,-, L -, and Gross Scores O n itt e d .) IX 17 I 16 23 22 21 -II < 0 X = 76° C os.01 = .242 = r 12 101 F ig u re xXV R e la tio n s h ip Between f a c t o r s I and I I I (V a ria b le s C$-, L -, and Gross Scores O a i t t e d .) 22 20 1? 13 15 C os.fa* -500 102 between the two vectors i s approximately 76 degrees. The co rrela tio n between fa cto rs I and I I , which i s the cosin e o f a 76 degree angle, i s therefore .242. This would in d ic a te that the suggested or surw mised "primary a b ilitie s " which are represented in fa cto rs I and II are somewhat related rather than independent. Complete Independence i s indicated only when the vectors are orthogonal rather than oblique. In other words, two fa cto rs are independent when the angle between th eir a b ilit y vectors i s a right angle (90 degrees) thereby making the cosine o f the angle equal to sero . Figure 25 in d ica tes the co rrela tio n between fa c to r s I and I I I . The angle between the direc tio n cosin es i s approximately 60 degrees, corresponding to a cor r ela tio n o f .500. With respect to a th ree-fa cto r rela tio n sh ip i t is necessary to describe the twenty variab les in a tri-dim ensional stru ctu re. The fourth fa cto r appears to be r e la t iv e ly in sig n ific a n t and i s therefore om itted. The factor loadings are p lo tte d on the surface o f a three-dimensional sphere. Figure 26 shows a b ir d 's eye view of the pattern o f the augmented fa c to r loadings p lo tte d on the surface of a sphere, a x is I being considered as perpendicular to the surface o f the paper. From th is figu re i t can be seen that simple structure i s not obtained because o f the d if f ic u lt y in confining the loadings w ith in a rig h t sp erica l tr ia n g le . D istin ct and clea r-cu t b lu ster s are absent, revealing minor ones on ly . The lack of simple structure makes i t d if f ic u lt to measure the r e la tio n s among the three fa c to r s. I t i s apparent, however, that the fa c to r s are not orthogonal. fo r e , fa cto rs I , I I , and III are apparently in ter r ela ted . There 103 F ig u re XXVI The R e la tio n s Among ■•’a c to r s I , I I , and I I I ( V a ria b le s Cfc-, and Oross S co res Om itted; consider pattern of poin ts as a bird's, eye view with Axis I perpendicular to surface o f ch a rt.) I ll .21 ill .19 .12 .17 .10 .15 .1 4 -III 18 104 IV. DISCUSSION OF THE RESULTS The p o s i t i v e c o r r e l a ti o n s among th e a b i l i t i e s te s t e d , the tendency tow ard h ie r a r c h ic a l fo rm a tio n , th e o v e rla p p in g among th e c o r r e l a ti o n s ana th e f a c t o r lo a d in g s , and th e c o r r e la tio n s among th e f a c t o r s which a r e p r e s e n t in th e se a b i l i t i e s tend to d em o n strate t h a t a b i l i t i e s in s te a d of e x i s t i n g independent ly a re in dynamic r e la tio n s h ip w ith one a n o th e r. P o s itiv e c o rre l a t i o n s a r e re p o r te d in alm ost a l l b io m e tric a l and p s y c h o lo g ic a l s tu d ie s . However, no f u r th e r c o n s id e ra tio n i s g iv e r to t h i s f a c t o th e r than to subm it a s an e x p la n a tio n th e r a t h e r vague h o p o th e sis th a t n a tiir a l s e le c tio n fa v o rs p o s iti v e c o r r e l a t i o n s o r th a t "d e s ir a b le q u a l i t i e s in mankind ten d to be p o s i t i v e l y c o r r e la te d ." Even i f Thomson w ere c o r r e c t in t h i s Lamarckian h y p o th e sis i t ought n o t to p re c lu d e th e concept o f f u n c tio n a l r e l a t i o n s o f the a b i l i t i e s . Yet h i s sam pling th e o ry seems t c e x i s t in t o t a l d is re g a rd o f t h i s f a c t . The c o n s is te n t app earan ce of p o s iti v e c o r r e la tio n s betw een a b i l i t i e s , even though th e c o r r e l a ti o n s ere o fte n e x tre m ely low, in d ic a te s th a t th e e x p la n a tio n m ust exten d beyond th e sim ple realm of chance r e l a tio n s h ip . Accord ing to th e sam pling th e o ry o f Thomson, " . . . each t e s t c a l l s upon a sample o f th e bonds which th e mind can form , and th a t some o f th ese bonds a re common to two t e s t 3 a rd cause t h e i r c o r r e l a ti o n ." 105 I t i s ‘A'flomson's b e l i e f that, th e t o t a l mind i s n o t in v o lv e d in tn e r e la tio n s h ip s betw een a b i l i t i e s b u t r a t h e r t h a t th e a b i l i t i e s sample on ly sm all re g io n s (s u b -p o o ls ) of th e mind. In th e stu d y o f c l e r i c a l number and name ch eck in g , Andrew re p o r te d a l l c o r r e l a ti o n s as p o s i t i v e . T his in d ic a te d " th e e x is te n c e of a g e n e ra l f a c t o r , w h ile r e l a t i v e l y h ig h c o r r e l a ti o n s in d ic a te th e p resen ce of group f a c t o r s , o r in o th e r words o v e r1.s p u in g .11 She s t a t e d a ls o th a t m u ltip le f a c t o r a n a ly s is " . . . in d ic a te s th a t a common f a c t o r ru n s through a l l th e t e s t s and in a d d itio n th e re a r e m inor group f a c t o r s ." D e sp ite th e se s t a t e m ents A ndrew's g e n e ra l co n c lu sio n was th a t th e M innesota C le r ic a l T e st " i s m easuring a s p e c if ic a b i l i t y which i s r e l a t i v e l y in d e p en d en t of s p a t i a l , academ ic, and d e x t e r ity a b i l i t i e s . " The e x is te n c e o f h ie r a r c h ie s among th e a b i l i t i e s was g iv en l i t t l e c o n s id e r a tio n ex cep t by p r o f e s s o r Spearman and h is c o lle a g u e s . The c o r r e l a ti o n s among th e f a c t o r s found in the p re s e n t in v e s tig a tio n seem to be amply confirm ed in o th e r s tu d ie s . G a r r e tt found in m u ltip le f a c t o r a n a ly se s o f th e r e s u l t s in v o lv ing d i f f e r e n t a b i l i t i e s t h a t p o s iti v e c o r r e l a ti o n s e x is te d between th e group f a c t o r s which had been i s o la te d . Thus, in one a n a l y s i s , he fo u n d a c o r r e l a ti o n o f .225 betw een th e n u m erical and v e rb a l fa c to rs. In a n a ly s in g a second group of d a ta he r e p o r te d r e s p e c tiv e c o r r e l a ti o n s o f .825 betw een th e v e rb a l and n u m erical f a c t o r s , .273 betw een th e v e rb a l and non-language (perform ance) f a c t o r s , and .296 betw een th e n u m erical and nour-language f r c t o r s . He found in 106 a n a ly z in g th e A n astp g i s tu d ie s , how ever, th a t th e memory f a c t o r was independent o f b o th th e v e r b a l and nu m erical f a c t o r s . The a n g le s were o rth o g o n a l, th e c o r r e l a ti o n s b ein g .0 0 and - .0 8 5 betw een th e memory f a c t o r and th e n u m erical and v e rb a l f a c t o r s , r e s p e c t iv e l y . Morphy found th e p rim ary t r a i t s , i n th e in v e s tig a tio n o f th e r e l a t i o n between m echanical a b i l i t y and in t e ll ig e n c e were " o b liq u e r a th e r than o rth o g o n a l" , w h ile M o rris, in con t r a s t , r e p o r te d th a t th e "m ental t r a i t s . . . . a r e o rth o g o n a l, o r in o th e r w ords, th ey a re independent m e n tal t r a i t s . " The r e s u l t s o b ta in e d h ere in d i c a te th e p resen ce o f s p e c if i c and group f a c to r s which s r e c o o rd in a te d through th e p re se n c e o f a common f a c t o r . In t h i s r e s p e c t, th e se f in d in g s seem to be analogous to th e 36 of Spearman. The s p e c if ic f a c t o r s a r e re v e a le d in th e r a th e r low co m m unalities w h ile the group f a c t o r s pro chown in th e is o l a t e d f a c t o r s , f a c t o r one, th e c : n f i g u r a t i o n a l o r c o o rd in a tin g f a c t o r , i n t e g r a te s the a b i l i t i e s in to o rd e re d a c t i v i t y . I t i s n o t a t a l l c l e a r w h eth er th e g . f a c t o r of Spearman i s s im ila r to th i3 c o n f ig u r a tio n a l f a c t o r , s in c e Spearman has n ev er com m itted h im se lf s p e c i f i c a l l y on t h i s p o in t . I t does ap p ea r, however, th a t th e g f a c t o r i s th e sum o f a l l th e f a c to r s in s te a d o f one which in t e g r a te s the m ental f u n c tio n s . On th e b a s is o f t h i s , th e r e f o r e , th e s p e c if ic f a c t o r s a r e s e p a r a te and in d e p en d en t. They a r e r e l a t e d o n ly through th e 10? a d d itiv e p ro c e s s , th e g f a c t o r , which i s p re s e n t to some d egree in a l l th e s p e c if ic and group f a c t o r s h u t does n o t c o - o r d in a te them. Thus, th e Spearman tw o -fa c to r th e o ry r e p r e s e n ts a s t a t i c system and i s a p p a r e n tly in com plete f o r e x p la in in g th e r e c u l t s o b ta in e d h e re . More ad eq u ate agreem ent w ith th e r e s u l t s , how e v e r is found i f one a c c e p ts A lex an d er’ s m o d ific a tio n o f th e th e o ry whereby he em phasises the in se p a ra b le q u a l ity o f th e group f a c t o r s a s w e ll a s th e i n t e r r e l a t i o n s h i p among th e s e fa c to rs. The 'p rim a ry a b i l i t i e s ' o f T hurstone and th e 'u n iq u e t r a i t s ' o f th e U n iv e r s ity o f M innesota group a r e r e p r e s e n ta t i v e of a m ech an ical and a to m is tic e x p la n a tio n . The in dependent e x is te n c e of a b i l i t i e s ac c o rd in g to th e se e x p la n a tio n s i s in d i c a tiv e of a b e h a v io ra l anarchism whereby each a b i l i t y i s is o l a t e d and s p e c if i c . That a b i l i t i e s a r e by no means a b s o lu te ly s p e c if ic and d iv e rs e i s a p p a re n t in th e e x is te n c e o f c o n s id e ra b le o v er la p p in g o f f u n c tio n . I f what is commonly c a l le d m ental a c t i v i t y i s re g a rd e d a s the o rd e re d and in t e g r a te d e x p re s s io n s o f th e t o t a l p e r s o n a li ty , th e n th e se e x p re s s io n s a s a consequence must be c o n s id e re d a s in f u n c tio n a l r e l a t i o n s h i p in s te a d o f s t a t i c and i s o l a t e d phenomena. Modern p s y c h o lo g ic a l knowledge in d ic a te s th a t th e b e h a v io r o f th e organism i s n o t e c o n g e rie s o f d is p a r a te f a c u l t i e s b u t r a t h e r an organism ic u n it y in which th e r e i s dynamic r e l a t i o n s h i p between fu n c tio n a l and s t r u c t u r a l a s p e c ts . The perform ance o f an a c t by an in d iv id u a l in v o lv e s th e t o t a l p e r s o n a lity . Thus e x c e lle n c e 108 in an a b i l i t y such ps an a r t i s t i c f a c u l ty . ju g g lin g . a r t i s t i c a b i l i t y can n o t be a t t r i b u t e d to Such an e x p la n a tio n wo’u ld be mere word An e x p la n a tio n more in k eep in g w ith most r e c e n t e x p e rim e n ta tio n w ould a t t r i b u t e such b e h a v io r to circ u m stan c es which fa v o r th e a p p o rp rin te com bination o f env iro n m en tal and h e r e d i ta r y f a c t o r s e x p re sse d th ro u g h th e t o t a l o r g a n iz a tio n cf th e p e r s o n a li ty . I n s ig h t in to th e o r g a n iz a tio n o f a b i l i t i e s i s o f f e r e d by th e f a c t o r a n a ly s is te c h n iq u e . P r a c t i c a l l y a l l o fth e e x p erim en tal a n a ly se s c o n tr a d ic t the c o n c e p tio n o f independence among human a b i l i t i e s . T hurstone a s s e r t s , "The co sin e o f th e a n g u la r s e p a ra tio n o f each p a i r o f p rim ary t r a i t v e c to rs i s th e c o r r e l a t i o n betw een the co rresy o n d ih g p rim ary t r a i t s in th e experim en tal p o p u la tio n . I t v.’i l l p ro b a b ly be found th a t th e s e c o r r e l a ti o n s a re p o s iti v e ." In frhe V ecto rs o f Mind he in d ic a te s s e v e r a l s tu d ie s w ith p o s iti v e c o r r e l a ti o n s among th e " t r a i t s . " In a s e p a ra te stu d y o f v o c a tio n a l i n t e r e s t s , a f t e r h av in g f a c to r e d out e ig h t p rim ary i n t e r e s t s , T h urstone 3t s t e s , "These r e fe re n c e f a c t o r s a re n o t a l l u n c o r r e la te d . S ev eral of them have in t e r c o r r e l a t i o n s o f .25 o r .30 in th e ex p erim en tal p o p u la tio n but most of them have zero oo r r e l a ti o n s ." A lthough th e th e o ry of p rim ary m ental a b i l i t i e s seems to have been founded upon th e id e a t h a t a b i l i t i e s a re in d e - 109 pend en t (o rth o g o n a l), ^ h u rsto n e (89) has o f l a t e g iv e n de f i n i t e in d ic a tio n s of d e v ia tin g fro n t h i s b e l i e f . He say s, "Among s t a t i s t i c i a n s and p s y c h o lo g is ts th e re i s a r a t h e r g e n e ra l b e l i e f t h a t i f human t r a i t s a re to be acc o u n te d f o r by any k in d o f f a c t o r s , th en th e se f a c t o r s must be u n c o rre le te d . The g e o m e tric a l r e p r e s e n ta tio n o f u n c o r r e la te d f a c t o r s i s s s e t of o rth o g o n al re fe re n c e v e c to r s . This b e l i e f has i t s o r ig in in th e s t a t i s t i c a l and m ath em atical convenience of u n c o r r e l a te d f a c t o r s and a ls o in our ig norance of th e n a tu re o f th e u n d e rly in g s tr u c t u r e o f m en tal t r a i t s . S in ce we know so l i t t l e about them and sin c e i t i s s t a t i s t i c a l l y co n v en ien t to use u n c o r r e la te d re fe re n c e t r a i t s , th e in s is te n c e on o rth o g o n a lity can be u n d e rsto o d , b u t i t cannot be j u s t i f i e d . " He s t a t e s a t v a rio u s tim es th a t f a c t o r a n a ly s is " . . . assumes th a t a v a r ie ty o f phenomena w ith in th e (m en tal) domain a re r e l a t e d and t h e t th ey a r e d eterm in ed , a t l e a s t in p a r t , by a r e l a t i v e l y sm all number of f u n c tio n a l u n i t i e s , o r f a c t o r s " ; o r th a t " . . . mind i s n o t a p a t te r n le s s m osaic c f an i n f i n i t e number o f elem en ts w ith o u t f u n c tio n a l g ro u p in g s" ; o r "The f a c t o r s a re p ro b a b ly f u n c tio n a l g ro u p in g s, and i t i s a d is t o r t i o n to assume th a t th e y m ust be ele m e n ta l"; and f i n a l l y , " . . . th e r e s u l t s p o in t to th e co n clu sio n th a t mind i s not a s t r u c t u r e l e s s m ass, b u t th a t i t i s s tr u c tu r e d in to co n stella^ ti o n s o r g roupings of p ro c e s s e s th a t can be i d e n t i f i e d . no a s d i s t i n c t f u n c tio n s in th e t e s t p erfo rm an ces. These a r e what I have c a l le d p rim ary m ental a b i l i t i e s o r t r a i t s . " T hat th e se p rim ary a b i l i t i e s a r e independent a t l e a s t in p a r t s t i l l rem ains th e t h e s i s o f T h u rsto n e . In o p p o s itio n to t h i s , however, i t i s re c o g n ise d th a t human a b i l i t i e s do n o t fo llo w th e s o - c a lle d a ll- o r - n o n e h y p o th e s is . In s te a d th e p re se n c e o f th e s e a b i l i t i e s i s shown to e x i s t in a l l c a s e s in v a ry in g d e g re e s, depending upon d i f f e r e n t h e r e d i ta r y end en v iro n m en tal f a c t o r s . Tyjese a b i l i t i e s a re dynamic ex p re ssio n s o f th e t o t a l p e r s o n a lity ; hence they e x i s t in f u n c tio n a l re la tio n s h ip to each o th e r . T his ap p ears to have been 3hown in th e p r e s e n t in v e s tig a tio n . Recommendations f o r F u rth e r Study Two b ro ad s tu d ie s a r e su g g e s te d -from the r e s u l t s in th e in v e s t ig a t io n . F i r s t , to r e p e a t t h i s stu d y w ith d i f f e r e n t groups o f s u b je c ts in o rd er to a s c e r t a in w hether th e f a c t o r p a t t e r n s w hich a re found a re c o n tin g e n t o n ly upon the co m p o sitio n o f th e s u b je c ts . F0r exam ple, th e same b a t t e r y co u ld be g iv en to a group o f g i r l s , o r to a group o f boys s im ila r to th e p r e s e n t one ex cep t in th e m a tte r o f c o l l e g i a t e tr a i n i n g , o r e l s e , to a more h etero g en eo u s group, and so on. The second broad stu d y i s to d eterm in e th e r e l a t i v e e f f e c t s of h e r e d i ta r y and environm ental I ll f a c t o r s on a s in g le a b i l i t y , such as m u sic a l a b i l i t y , In o rd e r to stu d y th e d if f e r e n t f a c t o r p a t t e r n s , f a c t o 1" a n a ly s e s w ould be perform ed on th e r e s u l t s o f t e s t s given to such groups e s m u s ic ia n s , music and non-m usic s tu d e n ts , p a r e n ts and c h ild r e n , young and o ld groups, groups w ith d i f f e r e n t c u l tu r a l and so cio economic s t a t u s , ar.d so f o r t h . Tvie p a t t e r n s r e s u lt in g from d if f e r e n t music t e s t s would a lso be s tu d ie d . F or example, th e S eash o re, th e Kwalwasser-Dykema, and th e Drake t e s t s would be a d m in iste re d to a group o f s u b je c ts and th e p a t t e r n of f a c t o r s an aly zed . 112 v. summart a n d c o n c l u s io n s E ig h ty r e l a t i v e l y homogeneous male c o lle g e s tu d e n ts were g iv en in a random manner e ig h t d if f e r e n t t e s t s of a b i l i t y which c o n s is te d of tw e n ty -th re e v a r ia b le s . The in t e ll ig e n c e t e s t was th e 1938 e d itio n of th e T hurstone .American Cour', i l on E d u catio n P s y c h o lo g ic a l Exam ination f o r C olles'e Freshmen. The Seashore M easures of M usical t a l e n t com prised the music b p tte r y . The M eier-S eashore A rt Judgnent T e st was used to m easure a r t i s t i c a p p r e c ia tio n ,a n d th e M innesota V o catio n al T est f o r C le r ic a l '.Yorkers was the t e s t of c l e r i c a l number and name ch eck in g . In th e m echanical a b i l i t y b a t t e r y were th e Likert-C Juasha r e v is io n o f th e M innesota P ap er Form Board, th e s h o rt form o f th e M innesota S p a tia l .R elatio n s T e s t, and the s h o rt form of th e M innesota Assembly T e s t. The t e s t s o f manual a b i l i t y w ere th e O'Connor F irm er and Tweezer D e x te rity T e s ts . In summary th e s a l i e n t fin d in g s o f th e p re s e n t ex perim ent seem to be th e fo llo w in g : 1. The freq u en cy d i s t r i b u t i o n s in d ic a te th a t alm ost a l l of th e v a r ia b le s s a t i s f y th e normal curve c r i t e r i a . The o n ly v a r ia b le s which a re s i g n i f i c a n t l y skewed a r e th e T h u rsto n e Same-Opposite and th e Minreesota S p a tia l R e la tio n s t e s t s . Sig n i f i c a n t k u r to s is i s n o t in d ic a te d f o r any of th e v a r ia b le s . However, th e T hurstone Number S e r ie s , th e Seashore Rhythm, and 113 th e Minnesota. Assent)] ine- te s t 9 m a n ife st s iz e a b le d eg rees o f p ln ty k u r to s is w h ile th e M eier-S eash o re A rt and th e M innesota S p a tia l R e la tio n s t e s t s in d ic a te somewhat h ig h d eg ree s o f le p to k u r to s is . 2 . W herever com parative r e s u l t s a r e a v a i la b l e th e sc o re s o b ta in e d h e re a r e in g e n e ra l agreem ent w ith th e ones re p o r te d in o th e r in v e s t ig a t io n s . This o b ta in s f o r th e in t e r c o r r e l a t i o n s a s w e ll a s f o r th e norms. 3. The i n t e r c o r r e l a t i o n s among th e v a r ia b le s a re on th e whole p o s i t i v e b u t low. There i s c o n s id e ra b le o v e rla p p in g throughout th e i n t e r c o r r e l a t i o n s . The h ig h e s t i n t e r c o r r e l a t i o n s appear among th e t e s t s which b e a r th e name o f th e same a b i l i t y ( i . e . , th e i n t e ll ig e n c e t e s t s ) . H ie ra rc h ie s among c e r t a i n o f th e a b i l i t i e s a r e a p p a re n t. 4. Four f a c t o r s a r e found by means o f th e T hurstone " c e n te r of g r a v ity 4' te c h n iq u e , o f which th re e seem to be im p o r ta n t . F a c to r one seems to be a general , i n t e g r a ti n g f a c t o r . The second f a c t o r seems to be made up o f two " s u h - f e c to r s one combining th e group f a c t o r s of th e m echanical and manipu l a t i v e a b i l i t i e s and th e o th e r combining th e in t e l l i g e n c e and c l e r i c a l group f a c t o r s . F a c to r th r e e in d ic a te s r e la tio n s h ip s between m u sic al a b i l i t y and c l e r i c a l a b i l i t y as w e ll a s betw een in t e ll ig e n c e and m echanical a b i l i t y . C o n s is te n t r e la tio n s h ip between a r t judgm ent a b i l i t y and m echanical a b i l i t y ap p e a rs in th e f a c t o r s . fa c to rs. There i s c o n sid e ra b le o v e rla p p in g among th e They seem to be i n t e r - r e l a t e d in s te a d o f co m p lete ly 114 in d ep en d en t o f each o th e r. By v ir t u e of th e s e f in d in g s , i t would ep p ear th a t th e Spearman end T hurstone th e o r ie s a r e in a d eq u ate f o r e x p la in in g th e r e la tio n s h ip s e x p ressed in t h i s st\id y . B ath er must one conclude w ith the h y p o th e sis th a t th e a b i l i t i e s h ere te s te d a re n o t d is p '-ro te and s t a t i c a b i l i t i e s , h u t th a t th ey a re in stead , f u n c tio n a l and dynamic r e l a t i o n s h i p s w ith in th e t o t a l p e r s o n a li ty , in closer ^ h is o rg an ism ic c o n ce p tio n seems to he co n fo rm ity to modern p sy c h o lo g ic a l th e o ry than th e p r e v io u s ly r e p o rte d a to m is tic h y p o th e se s. +t> »» h e ■P : H 40 Ke fl o •rl w * & ® r* O 2 eo s S hOJ N 0) r— I Cfl ® ra a ® h *rl H -h o e +> e Ft, Pi « 05 h e P i « > 0) rt •rl . . lO c o p - o i c o p - c o o o c o i P c o o o c o p - c Q e o i p p - c n c o c M . CM 0 3 i o p - c o c o i p * j p - r H c o c O r H c o 3 < c o c o c O ' M ' p - t ' - 01 C O e O C O a r H O O c O r H C O T F C O e O T F l P C O T F ' < F C O e O C O T F C O T F C O ’< F C O I P C M O p ^ ' C D C O C ' - T F C O r H r H O C O r H V , r H r - C O O 3 0 > I O C M M C O C M C M C M C O CM CM CM CM C O CM r H C O CM C O CM l O Q i P O O l P C Q T F G C M CM C M CM O O CM PH V> < CMCOI P r HP - T F O3 r H0 0 CMOO' F C 0 e ^ l OP - ' M» ' i F 0 0 CM c o o o i n o o P - i s r - c n r - H c d p - c M c n t O ' c F o i c o a o c o i o H H H H H r l r l H H H H H H iHrHrHHiHi— I d fl s •rl = = V a ria b le s c i e H M O c O ' T c c Q o ^ J ^ C O H o i n i p t O w o e C O H ^ T F i o ^ F P» OO 03 O rH CM CO rH i—I rH CM CM CM CM o> p - C M ' H ' F c o c o p - r H c n i p ' c F c O T F c n c n c n e ^ o i e o a o • F i F ' « F l O ^ F H r ' ' F T F e O C O C O ' * F ' s F e O ' ' F C O < F C O C O ' < F 03 i o « ® f f l ' ) i ® c o i H H H r l H H r l r l el O o rHl O m n H H ,cO cn CM .Q |i-H C l cn o ao n S3 o n o o o i n n O f - i « ( | n H M N H N N n o o o w e H o j e e o o ^ e i f l o o o f C O n O t »—I __i —J 00 •<F 03 <J> ts iS llP •F CO CO r l Tf CO CO CO 3 •n l^ F r-l 3 ^ O ' f r 109 «l 104 Appendix I for the Twenty-three Scores of O riginal Table ^ N ^ ^ H Q o e ^ M t o W O O W ^ Q O W C O O O H N F t n i o - ' J ' T r i P ' c F c o p - t P i F o O o 3 e e T o t H O I— I C w l c I _J _ J H H l o P l o O o I I— I i— I I— I rH r l rH rH O j I e N m w O n O H K t l i r t CO a I N i I to tO 03 03 to CO CM 5 co 00 IP cn CO CM CO 3 3 5* a rH GO CO 03 p - CO CO to CO CM CO CM CO 00 CO 3 to CO CM CO rH CO CO f - CO co CO a a % rH p CO CM U © cti © CO OO CO •«F c^- p - cn o a p p- CO P - 00 03 O) c - E**- 03 i-H cn ■cF o 3 •M* IP 8 CO CO rH p - cn rH CM CO co CM CD P - 03 tF rH !-- 1 rH rH u to i—1 rH i—1 rH CO ■^F § in to CO rH IP P- CO rH rH CO CO O rH O CO CO •cF rH a rH rH rH rH rH i—1 rH rH CO p - Ip rH CO CO in P - o CM CO rH rH rH 1—1 1—1 i—1 rH rH a CM •F o to i p IP rH IP CO CO CM rH to 1—1 rH rH i-H 1—1 rH r-H rH rH rH rH rH cn CO CM CM 03 o CO 00 ■c* O CM 00 rH rH r-H rH rH rH CO © O oo p- a rH O IS rH oo 00 ao C^ 3 m 00 e^ to CM CO ■p !» o ^ C5O © CO *I4 = •rl© © 00 IP p - CO CO CO co CO a cn rH 00 O) a o> IP p tF o CM o CM •Mi 00 CM 03 8 CM CM 00 cn CO a rH rH CM 1—1 rH rH rH rH r—4 »—I rH i—1 rH co IP IP co CO cn in 03 e^ CO s co to a 03 o c - § cn r—1 pco ao CO 00 ip 3 TF 9 s 4* CO Tf 3 tt* (0 CO CO <* o CO o co IP •eje CM CM 1—1 CM CM i—1 rH 1—1 CM CO rH i-H a IP CO O CM O rH CM CO ■M* IS 03 o in CM rH rH i—1 CM rH rH CM rH rH CM rH P - to oo CO 03 IP 'F CO O) 8 CM to 3 co rH CM CO CO CO a i ? o o rH CO CM CM CO > l r - l ■M* CO en GO CO CO CM o o p - c^ rH tp CM rH ip rH 03 cn ip 00 0s cn cn 03 co cn 03 00 cn r* cn CO 03 oo s ■n *•» +» •iH SQ 6 a) 4» 0 I I Pi H H O rH CO « I cm IO IP co o- CO in rH CO 03 CO IP 05 CO »—i c s N e' IN C ' 00 C- p- co 00 p - 00 to IS p - P - a o CO cn 1—1 oo CO a H n o> CM 00 o cn m CO to 03 •cF CM P- IP JN 03 co 03 co 00 co c^- oo cn 03 O 03 cn rH cn CM co c - 00 to O CP CO in CO cn CO oo CM CM 03 CM CM to CO CM CO CM CM to •cF CO h i CO 00 CO rH CO CO 8 H H H —J __ I _■ __l e » ® IP CO rH rH rH CM CO CO IP CO 8 CO CM 3 rH GO p - e* to rH rH rH to cn CO p - tD oo o in rH i—1 rH rH rH i—i rH CO co O N tD 00 03 rH rH rH rH rH © o « o o h t H i-l P i O © •H •rl h ® +> P i ® CO 8 cn •cF co rH rH cm © • 4* ppm ty) *H • ttf 55 eh® •o h o m V O r-l «H I O P ,-rl ® • o co s +> a co o i o ® i V 0*0 co i-i cb tz u to h c P 0 •p 10 h' 1 rH CM CO tF IP IP P- 00 cn rH CM CO ■<F Ip to P - co 03 o rH CM CO ■M* IP CO £> 00 03 o rH rH rH rH rH i—1 rH rH rH rH CM co o a o u > c ^ o tn r itn c M C M c n t'- r ip CMon oHc caocc ionMa i ictMo ct Q ra io n n o o in K io io io t^ n CM CM ^ S d ^ ^ ^ ^ H to n iO H T O C Q o tn H o ra io e ^ c o in c o p -p -o o c o o o in w M P P -M 'c o in in to to CMCMCMCMCMCMCMCMCMCMCMCMCMCMCMCMCMCMCMCM CM ro g g ^ to to 0 .1 UJ in oo to H N CO to (M N O COIN tO to CO P- Mi r-tocMCM^CMintoco PJWtOOiOflOHtOflOtOHC'l^, t# O O itO H ^ , Cto co^^TtiinM iinM iM itoinininM 'inM i'Q M iM ip01 .$ 3 3 8 8 $ g 8 R 3 & $ i3 8 g 9 8 9 3 8 CO CO cn M1 O tn IO e'- AJt Q 10 CD 0 O in 00 CO to CO CM e^ cn CM •M IO CO 0 CM p> Mi 1—1 rH »—i r l H r l rH rH r l rH rH rH rH rH 0 to p - CM tn 01 CM Ml r l cn Mi 00 in H* in CM Ml ao CM rH CM Oi CO CM CM cn CM O 0 CM CM rH rH rH r l r l H r l rH rH rH rH rH rH to to H CO 00 l-l CO -* CM 00 O CO IO rH in rH 00 P - in cn Appendix in cn tO rH CO to CO 3 3 Dr o> in CO to rH M« to CO Hi* •Mi M^ 0 to in IO r l CM to CM CM CM 9 8 CO in r l CM 8 rH S CM CO 5 8 00 CO r l CM CO CM 8 8 8 CM in 0 CO 00 C^ C^ CTi r l P - 00 P - P- CO o» CO 8 I—1 CO 8 40 00 00 tn 00 OI cn 00 cn ao 00 cn cn cn 00 O cn CO cn 3 GO to to to Mi to in CO CO CO 9 5 00 CO IN 8 Ct- 8 8 CO to CM to Mi ao 01 IN IN CD p - P^ N to 0> 10 00 CM 00 00 to •Mi to CD 0 Mi in cn ao GO e ' to 00 e-- ao 00 00 p- CD p- P- ao IN to rH CM rl 8 1—1 CM 8 CM rH rH in to rH rH 3 r l r l rH r l C* Mi P - IO cn ao rl rH • •n rH CM CO Mi in to CM CM CM CM CM 01 r l CD ao rH r l cn Mi r l rH rH r l r l 00 P 00 in O 8 rl 0 rH 8 00 cn r l CM 8 9 3 in tn tn cn r l rH CM pH 00 to to CO CO w CO CO 8 3 CO H cn OO CO 00 to ’J' CO to OO CO CM rH rH rH rH rH 3 rH rH 1 rl CO to CM O Mi r l CM in cn cr> no cn cn e* 01 cn to 0 N 2> CM CO 8 in Mi Mi CO to p- in CO CO CO CO co CO 8 in CO to en <n 00 r l rH P - cn m 8 o> rH 8 ■n f c p - M< O cr> CM rH 0 r l rl rH r l i—1 r l rH r l rH r l 00 1* mi 00 r l to CT> cn P r 00 00 CO CO M to 00 N cn to C^- 00 9 O in cn to 3 8 00 C Prl p00 cn 00 cn GO cn M1 Mi 8 9 ■M* M1 3 Mi CM 9 Mi 8 Mi w Mi tO H in rl to Mi Ct to CO cn 00 Mi <?> Mi cn rH CM CM CM rH rH CM r l CO CM rH rH rH CM r l in to O r l OJ t^ P- to CM rH cn r l CO tf) O cn rH rH r l CM rH rH r l rH rH CM rH r l Mi 0> OJ 3 8 8 mi 3 8 rl Mi 3 in CM 8 r l 00 to F—1 r l CM cn IO in to to 00 r l P - 00 cn cn cn GO o> 00 cn 00 co 8 O in 10 to cn rH in ao in P- 40 I (continued.) IN CT> rl H •Mi CO a> Mi r l 0 ■Mi Mi ao rH r l r l rH rH r l P» CM IO P* 10 •Mi to to Mi 1—1 rH P in in rl rH rH rH rH rH rH rH rH r l r l H O P - a> to CM cn O 00 r l O i cn CM 00 rH f t rH rl rH rl rl e^ 00 o> CM CM CM 8 CO 8 CO CO 3 in to N ao cn CO CO to CO CO 8 c o rH p-tooitop-p-ooiaonpaocM rH CM oitooioao cm (J>PJ<ON(5Wrgifii9Q00HOQlDQ®lOi-tK) g GitointotoinoototOHjiaQOP-tOf-HCMP-oocM O O C ' l f - t O O O O J r H ' ^ t O C M ^ ' t ^ i n t O t ^ a O r ' r H i - t CGCMCMCMP1CMCMCM01CMCMCMCMCMP1CMCMCMCMCM p - < T > m < x > i o . - i r H t o p p - H p p . i n i n p . Hit ■*}< pp -- to rH PMP-CM © C M P - O l t O H j ' i n c O P ' . - H t O P - r H I O P - P - PH- j ihC r H H r H H H H i H H H H r t r l H H H H H H H H H H i f l ^ H ^ N t c t o n t o o n a i o ^ ^ ^ ttP o CO t o o t o p } i o i o a o S o t >- t s- i o < n o v O ' 4 | t O ( » Pr r^ O (31) c o 9 ^ « o o ' o a o T f t o t D r j t t o i o i n t o i o t o t n ^ T Hp j ' r HP j'tO '^ot <31 P - O l O l l Q Q C M Q O p P r C O t O t n i n ’t f ' P - t p ^ ' a O P h 0 1 00 00 01 01 0Oii oi ao cm o o 01 ao 1—t oco 01 00 P* <T> P“ rH P p- cn CO 01 00 rH rH rH rH 0 0 I— 1 r H 8 p- to rH 00 in Q otM i ^ cm p rH rH CO 03 o O P00 CM 03 CM P- 00 rH rH rH rH H H H t n t O o i— i o r H i n 0 0 0 > H rl H 8 to rH CO P rH P- CM 00 HP ao in IO U0 00 h Hp 01 t- c on o o oo <31 oo 01 cn I (co n tin u ed ) r H to 0 t o i n t f p t o p . t o t n i n < o p - r H r H CO CO H W M Q H i nI cm •m1 w co cm r H 00 to H P H P CM P - to rH CO o i c M - t f C M i n t pn- p «- o t ot ot no o co oo H c m c o c o Io c o o i p i c m c o c m t o C O C M C O t o — t o t o CO CO t o t o t n r H CO CO t o H P ntoepi-p O -co M c^ o ito oN n 01 00 tO t^ oOo e^ o 0 0 CO OlHpOHpCMHPMttOP-CO O N O) o o c o c o c n o c o a i o i P - a ) Cl oi P- CM p - 0 i n c ^ t o t o a o n p i n i n o o oj CMP-tOP-P-r-ICMCOP-Ol t j t i n rf l O i o Q o o ^ o a t o H o x o i n <o3 1 i 0 i1 M ' o i n 01 CO CM CM co CM Appendix P 3 oo oo p- t o p - o o <31 t o p - 0 1 P - oi <o i p- in oo cr» co to 00 CO COto to co oo pO o> to o co N oi in o in O CO rH 8fc <J1 rHrHrH rHrHrH p- q to cn P- 03 CO<31 io in to o p- O P- O 00 oo ao oo t o to 00 O IO tQ O l Q <J1 ;$ ^ s hP Hp CM Hp 3 8 3 8 8 r H r H t o P - o > t O i n t o H P r H r H r H c i t o o o a t c n co ao O p - r l r l rH r l t o t o o o t r H o p c o ^ t f i n h j O r H c o r l M * C O O C O C D t O - n t o C M ^ i 0 1 t o ( O 0 0 O I H P ■ M* rH tO CO CM CO CM c o C O C O h P p i n - a r H CM t o o i g i c o o 0 0 r H 0 1 in -- a o i n H 01 00 tji CO CM CM o a o o t t o a o m a w m o 't i i p - c o o c o t o 01 t o t o <31 0 0 c o a o t o i n r H t o p - a o 0 1 o o r H 8 8 5 S o o 0 1 CM ^ » o r H r H 01 p - r H r H r H r H 01 to 0 0 r o jc rp io n n a H io p o o o N P H in n o o m in H ' r H r H r H H r l r H H r H H r l H H c o r r lH 0 0 r H r H r H HIOIOtOOOtOCOHM OPOltOIOOIIOPOllOP i n p - °5 c n O rH c v jc o ^ io to r-a o o iO f t*, t# * t ’^ ^ ^ , ^ '9 ''t* < in in in in in tn in in in in to t o i n r i n CO (OOlCMr-ltOOl^COtOC^CQ(0(OC^inCM'M<OOf-IOO CM C '(o r> i-icM H a> F -iocniooo'ncQ c> -K (O Q O o u>o>oooooincM^<o>r-cM>HCMinaotOiHO>c^n oi eoor -CMOoot OHi<H*t oi i3cococooi c>-^i tni n rHCMCMCOCMCOCMCMCMCMCMCMCMCMCMCMCMCMCMCM h* C M C M 0 0 O > r - t t n c 0 Q r - I Q ( O O > C M O > 0 0 C O <4 l U> r > .............. CM m H N t^ i^..... in in io 3 5 ^ il5 o o o o in 8 <<tn> in in w to in tft in* in* rl rl H H rl rl o o - to o - c o o o c o t- o it ^ c n o i in o is in t o o c ^ T tto CM int>-r-i'<4<r-Qinoioitoooino>'^c>-'<'wcM Kioi '^ c o i n i n ^ i o o i T i i 't r ^ ^ ^ i n r '- i n ^ t o o o i n i n o> w ^ ^ r j 'm ^ 'N i n i n r - i i n w c M ^ ^ 'W T f N ^ c o in rH CO 1—1 00 t f OI Hit O Hit OI IS cn 5 S in ■tjt to to tn •M * - IS tn Oi B CM CM o rH rH rH rH rH »— i rH rH rH rH rH i—i rH rH rH rH 00 s tO "Sfii rH in oi <3 i— rH rH rH 00 OI in IS to f OI 5?* to Hp Q to rH rH CM rin mt 00 CrH OI CM CO CO CM M CM oo o o CM CO o rH rH rH rH rH rH rH rH rH rH rH i—11 —1 rH rH rH CM CM 00 S- to CM CO in in OI rH in t» CO Ol tn CM in in CD O o - 01 OI OI O OI Oi IS O OI CO co 00 o - O'. OI 00 tC rH in r-l CO tO Oi i i— i■3 4> 0 O in cm i— i nCO rCOl If) oto cn to ^ ^ o 8 9 to oo to IQ 0 > Hf t f C M to to ^ tJi to to h* tO IS rH P IS to to CO OI Hp co i n oo H* nit CO CO CO CO CO CM CO t o CM CO rH CO tO O CO CO CO CO CO t o CO CO ■<* IS ^ t co i n t o tO CM i— I rtol Q to to to co to to CO to CO a >d A ® o r - t o CM t o o i B t f HP tf to CO CM to t>* o i m ^ o oo O tO Oj rH Q t o 00 s IS ao S - CO r - i n t o t o i n ao to to r> P“ oo ^ i s r-i in 00 S - CO 00 r- o o i m rH to CM O t o cm t o i n H O H OI c o H c - oo ao o i OI OI Oi o i o i co ao co ao s IO O i 00 t o cm c m a O) 10 If) H O l_Q g t o i-H i n oo H tl* N in cm m d- oo to co m ao ao oo (T> 8 5 3 co oo t o in S ao r - g> q CD CO tO Cg Oi CO rH 01 IS D- t o OI 00 CO S O) S S 0 ) 0 0 OI OI OI rH 0- s $ 8 CM CM CO CO 00 O is in to 00 h* oi in o - o o i n i n r i i n H Hp co co CM CO CO r l CMO 0 rH rH O B O O o s c o l r i r l r l rH rH rH r i H H H rH rH r-H r tO 00 00 rH IS to s 3 3 8 $ 8 CO ^ t . . to IS o co Hjl dH-f a"M 1 HP 8 8 ® t*op Hhp Qin in HP co in m CM tO tC t P tO 00 rH < # o o i n o o i to CM to CM W CMCM CM to r H CM CM CM CM rH rH i n C l CO 01 OI to rH OI IS CO CO O t f rH CM tO CX| CM CM CO CM rH rH rH rH t* CO CO rH 00 i n CO CM rH CO nP CO rH 00 OI rH CO O rH C^ CO CM t * CM tl* tO CO in ^ t CM CM CM tO CM t f CM CO CO rH rH co tO rH CO S rH rH to CO o r~i tO C lO O O ® W H lf)SC M SSB ) t o t o HP 00 r-l tO oo tn H H H r l r l r—I rH rH rH CMi n H rH r l is rH tfC O tO 'tfS H r lS O C O rH i—I r-H rH r l rH rH CM ti* CM rH rH CrrHOItOC'-CMP'tOD-O'^Olinp-P'-D-tO rH CM CO tO IO t o H 'D tC S fflO lO H C M N tl'tO tO S m o O t o t o t o t o t o t o r > s s s t ^ t >>D-c^c>-ck-ao 1 BIBLIOGRAPHY 1 . 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