University of Montana ScholarWorks at University of Montana Theses, Dissertations, Professional Papers Graduate School 1964 Kinesthetic perception of basketball players during the competitive season Russell Thomas Flynn The University of Montana Follow this and additional works at: http://scholarworks.umt.edu/etd Recommended Citation Flynn, Russell Thomas, "Kinesthetic perception of basketball players during the competitive season" (1964). Theses, Dissertations, Professional Papers. Paper 6371. This Thesis is brought to you for free and open access by the Graduate School at ScholarWorks at University of Montana. It has been accepted for inclusion in Theses, Dissertations, Professional Papers by an authorized administrator of ScholarWorks at University of Montana. For more information, please contact [email protected]. KINESTHETIC PERCEPTION OF BASKETBALL PLAYERS DURING THE COMPETITIVE SEASON by RUSSELL THOMAS FLYNN B.S. MacMurray College, 1963 Presented in partial fulfillment of the requirements for the degree of Master of Science MONTANA STATE UNIVERSITY 1964 Approved by: Chairman, Boar d o f'%xami ne rs JJ X4 Dean ,/Graduate School 2 : Date R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. /J UMI Number: EP37172 All rights reserved INFORM ATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. UMT Oisssrtation Publishing UMI EP37172 Published by ProQuest LLC (2013). Copyright in the Dissertation held by the Author. Microform Edition © ProQuest LLC. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code uest‘ ProQuest LLC. 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 4 8 1 0 6 - 1346 R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. ACKNOWLEDGEMENTS The au th or w ish e s t o e x p r e ss h i s m ost s in c e r e than ks and a p p r e c ia t io n t o Mr. Wayne E. S in n in g f o r h i s h e lp and gu id an ce in th e c o m p letio n o f t h i s s tu d y . A p p r e c ia tio n i s a l s o e x p r e s s e d t o th e Montana S ta te U n iv e r s it y Freshman B a s k e tb a ll Team and th e p h y s ic a l e d u c a tio n s tu d e n ts who s e r v e d as s u b j e c t s . R. T. P. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. TABLE OF CONTENTS PAGE CHAPTER I. ou«sciooe» THE PROBLEM . , 1 Statement of the Problem». . . Limitation of the Study .. 09froodCo««»C'e 2 Limitation of the sample o tj 9 <) 4 « 4 «090A000009 Definition of Terms . . . . III. 2 2 Basic Assumption . . . . . . . . . IIo 1 2 Kinesthetic sense . . . 2 Kinesthetic perception . 3 Competitive season .. .. 3 .............. k RELATED LITERATURE The Basis for Kinesthetic Tests h Related Investigations ........... 5 Establishment of Kinesthetic Tests 7 PROCEDURE OF THE STUDY Subjects 11 ....... 11 Test Battery . . , Balance stick Arm raisin g , . . Weight s h iftin g ..... «<390 1 ^ Vertical lin e a r space Training of the Tester Ik Testing Procedure . 15 Procedure of each t e s t period Method of data collection ................ 15 9 9 9 R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. 9 9 0 4 9 9 9 9 15 CHAPTER IV. page ANALYSIS AND DISCUSSION OF RESULTS S1S €iSX l3-"fcS S O ........ 3t3XSLl.^rS X S APPENDIX l8 « o a . . j c i 0 . a o t t o a t > o * * « o . ® . . . . . . . . . . a . a . * 0 * 0 . 0 . . . . . . . o . . . 0 . 0 * 0 * 0 . * * * 0 . 0 0 0 0 * o o * . 0 0 * X X ^ 3( 15 ^^^P^PG X X dX3C C o « ' 0 ' v o o . * o o w o o o o o o o o o u 0 o o o c o o ' i * o o o « o e a u c » e o * * * 0 0 0 * * 0 . o o o * * o » * o # * o o o o o » a « # * o * * o & o * ù * . 0 0 * 0 0 * o * o * o * * # 0 * 0 * 0 o * o # o o * * o o o 0 0 * 0 . 0 0 * 0 * 0 0 . 0 * * * 0 0 0 0 * * 0 # 0 * * 0 • a e e e o o o « o f l o * i > O D O o * « e u a o i > o o a « o o o o . o * « e « o o c i o e o o * * o # -X V - R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. 21 . o o o * * o m * * o o * o * * # o o * * o o o o o * * o o L , o o o o * * * a c * u o o o o u o c i . o . o c o A^^GndXX A. l6 * » * i i a ® e i f t o o < s v o * o o v a c o o o a . . c o a # A o o a * a o i * * @ * o . L 0 0 0 0 * 0 0 * 0 0 0 0 . 0 0 0 l6 !■ ^?X lpJT U X L ^lX ^^ £LHd. C0X 1O3-X L5X(3X 1S BIRILOGRAPHY ....... . o o w o @ o i > o o o . 3 . a c e a o c u 0 u f j o o . . a e # a 0 C ' . o . . * SUMMARY, CONCLUSIONS, AND RECOMMENDATIONS RSCO^ŒGnd&tXOnS .... o 6 . o o » o o . a o < » < j * c , t > j ' > o r * . . * . o . o * e ) O i j e o a o . ' » » SC X -ISSXon OT Rssnlts V. o e e ( i . o a * « . m o o o t ; a o o # o o o o t ' a i j O L u v . ? o . o . a » O G f^GtHOd OY 3X 1Stl^ySXS S . . . I^ 2^ 2^^ 2Y 2!8 2^ LIST OF TABLES TABLE I= PAGE Mean , M e d i a n , and Range of Test Items . . . u v . . . « » , v . . -V - R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. . « . v c . . . . . IT CHAPTER I THE PROBLEM Statement of the Problem One of the main problems confronting a b a s k e tb a ll coach i s g e ttin g p o t e n t i a l performance from each of h is players throughout the long competitive season. To meet t h i s problem r e a l i s t i c a l l y , he must consider the mental and physical fa cto rs which can a f f e c t the p la y e rs. In v e stig a to rs have shown t h a t th ere may be a r e la tio n s h ip between success in motor a c t i v i t i e s and k in e s th e tic p erc e p tio n ,1 It follows, th en , t h a t changes in k in e s th e tic perception could occur during the course of a competitive season and r e f l e c t a higher or lower perform ance capacity of an in d iv id ual at a given time. Of the many studies t h a t were reviewed in the area of k in esth e tic p erceptio n, none were found in which i t was measured lo n g itu d in a lly , The in v e s tig a to rs were in t e r e s te d in the k in e s th e tic sense of a person in r e l a t i o n to his motor learning at one p a r t i c u l a r tim e , Apparently, no in v e s tig a to r has been i n t e r e s t e d in the p o s s i b i l i t y t h a t k in e s th e tic sense might be a changing f a c to r in an in d iv id u al over a period of time, or t h a t i t might be a ffec te d by outside fa cto rs such as t r a i n i n g . B, E, P h i l l i p s , "The Relationship Between Certain Phases of K inesthetic Perception to Motor Learning," Research Q u arte rly , 12:58U5 8 5 , October, 19^1; Marjorie P h il li p s and Dean Summers, "Relation of K in esthetic Perception to Motor Learning," Research Quarter l y , 29 :^68, December, 195^; Louise L. Roloff, "Kinesthesis in the Relation to the Learning of Selected Motor S k i l l s , " Research Q u a rte rly , 2U;215, May, 1953; and Olive G. Young, "A Study of Kinesthesis in the Relationship t o Selected Movements," Research Q u arte rly , 16:282-283, December, 19^5, R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -2In this study, an attempt has been made to investigate the possible relationships that might exist between changes in kinesthetic sense, as measured by accepted tests of kinesthetic perception, and participation in a basketball training program. Specifically, the purpose of this study was to determine if changes occur in the kines thetic perception of basketball players during the competitive season as shown by their ability to balance, to assume and identify body position, and to orientate their bodies in space. A sub-purpose of this study was to determine whether there were any differences between the scores attained by an experimental group (athletes) and a control group (non-athletes). Limitation of the Study Limitation of the Sample. The sample for this study was limited to the freshman basketball team at Montana State University and a control group selected from physical education service classes at the same institution. Basic Assumption It was assumed that any extraneous factors that might affect the subject's performances on the tests of kinesthetic perception were randomly distributed throughout both the experimental and control groups, and would in no way systematically change the test results. Definition of Terms Kinesthetic Sense. Wells^ stated that kinesthetic sense is ^Katharine Wells, Kinesiology (Philadelphia: W.B. Saunders Company, I 9 6 1 ), p. 1+5. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -3known as the "position sense" because i t t e l l s us the position of the parts of the body without the aid of vision or touch. According to Cooper and Glassow,^ kinesthetic sense is put into operation when nerve endings in the muscles, tendons, and fascia are stimulated by the movement of a j o i n t . Bard U has indicated th a t kinesthetic sense is a ttrib u te d to the action of the proprioceptors. Kinesthetic Perception. For the purpose of th is study, kines t h e ti c perception was defined as the awareness of the kinesthetic sense as i t was measured with the selected t e s t s of the movement of the body or i t s parts. Competitive Season. Since there was a five week cessation of completion due to the Christmas vacation that came between the f i r s t and the second basketball games, i t was f e l t that more valid experimental re su lts would be obtained i f the experiment was conducted from the second game u n til the l a s t . This period began January 15, 1964, and ended March 2, 1964. Training Program. Training program refers to the basketball practice and conditioning routine to which the basketball team was subjected to during the course of the competitive basketball season. Athlete. For the purpose of th is study, the term athlete is used in reference to the subjects in the experimental group. Non-athlete. Non-athlete is used in reference to the subjects in the control group. 3john Cooper and Ruth Glassow. Kinesiology (St. Louis: C. V, Mosby Company, 1963), p. 117. ^Phillip Bard, Medical Physiology (St. Louis: C. V. Mosby Company, I 9 6 1 ), p. 1034. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. CHAPTER II RELATED LITERATURE The Basis for Kinesthetic Tests The movement of the human body is controlled by the cerebral hemispheres of the brain through the sensory input of three types of nerve receptors. I f the stimulus is from the external environment, the receptor is c la s s if ie d as exteroceptive, but i f the stimulus is from the in tern al environment, i t is c la s s ifie d as interoceptive. The t h i rd type of nerve ending, which receives stimulus from the loco motor system, is c la s s ifie d as proprioceptive. ^ The proprioceptors are c la s s ifie d into two major groups ; kinesthetic receptors, and s t a t i c and eq_uilibric receptors. The kinesthetic receptors are the muscle spindles, the Golgi tendon organs, and the Pacinian corpuscles. The s t a t i c and equilibria receptors are the nonauditory parts of the inner ear called the vestib ular sacs and the semi-circular canals According to Zoethout and Tuttle,^ kinesthetic sense is devel oped as a re su lt of stimulations of the proprioceptors which aids in the adjustment of the parts of the body. I t is t h e i r opinion that kinesthetic sense is put into operation when nerve endings in the ^GoM. Wyburn, The Nervous System (New York: Academic Press, i 9 6 0 ), pp. 50 - 6 6 . ^Ib id . 3w.D. Zoethout and W.W. T u ttle , Testbook of Physiology (St. Louis: C.V. Mosby Company, 19^6), p. 53^. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -5muscles, tendons, and fa s c ia are stim ulated by the movement about a jo in t. These impulses are sent to the b ra in which in tu r n i n t e r p r e t s th e movement of the body and i t s p arts. I t was s t a t e d by Wells^ t h a t th e awareness o f the p a rts of the body i s important in the le arn in g of new motor s k i l l s » k i n e s th e ti c p erceptio n, which i s Therefore, the developed by the p ro p rio c ep to rs, should be important fo r body movements in the performance of s k i l l e d a c t i v i t i e s . Related In v estig a tio n s Many stu d ies have been done in which the re la tio n s h ip between k in e s t h e t i c perception and motor a b i l i t y has been in v e s tig a te d . The i n v e s tig a to r s have attempted to p re d ic t the success in s p e c if ic sport s k i l l s through the measurement o f the k in e s th e ti c perception of the s u b je c ts . Some authors have found what they thought was a s ig n i f i c a n t r e la t io n s h i p between the success in a sport and high scores from meas ures o f th e k in e s th e ti c p erceptio n. Other authors have found t h a t the k in e s th e ti c perception as measured by t h e i r t e s t s was not stro ngly r e l a t e d to motor a b i l i t y . These stu dies have been reviewed in the following paragraphs. The r e la tio n s h ip between k i n e s th e ti c sense and success in b a s k e tb a ll was in v e s tig a te d by Taylor^ in 1933. b a t t e r y o f fourteen t e s t s He admi n i s t e r e d a to two groups of college b as k e tb a ll p la y ers. ^Katharine Wells, Kinesiology (Philadelphia: Company, I 9 6 1 ), p. U5 . W. B. Saunders ^W. J . Taylor, "The Relationship Between K inesthetic Judgment and Success in Basketball" (unpublished M aster's Thesis, Penn S ta te U n iv e rsity , College Park, Pennsylvania, 1933), p. 33. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. "• 6 ™ One group was ra te d as "successful" and the o th er as "unsuccessful." The 'Unsuccessful" group was made up of the f i r s t from the freshman b a s k e tb a ll team. up of the boys kept on the team. each in d iv id u a l. between the twenty boys cut The "successful" group was made The t e s t s were administered once to On no one t e s t was a s i g n i f i c a n t d ifferen ce "successful" and the composite scores of the found "unsuccessful" groups, but when the fourteen t e s t s were compared, th ere was a sLgnificant d ifferen c e between the two groups, P h illip s and Summers t e s t e d 115 women to determine i f a r e la tio n s h ip e x iste d between t h e i r s u b je c ts ' sense and t h e i r success in bowling. le v e l of k in e s th e tic On the b a s is of sco res, the poorer bowlers were placed in one group and the b e t t e r bowlers in another. I t was concluded t h a t the r e s u l t s tic showed a d e f i n i t e te s ts from the twelve k in esth e r e la tio n s h ip between motor learning and p o s i t i o n a l measures o f k in e s th e s is as applied to arm movements. The authors also concluded t h a t the k in e s th e tic sense was more important in the e a r l i e r stages of learning than in the l a t e r stages and t h a t th e r e was a r e a l d iffe ren ce between the p re fe rre d arm and the non p re f e rr e d arm in k in e s th e tic p e r c e p tiv ity . Young T in v e s tig a te d s e le c te d body movements commonly used in gymnastics and spo rts a c tiv itie s. T hirty-nine women were given a ^Marjorie P h i l l i p s and Dean Summers, "Relation of K inesthetic Perception to Motor Learning," Research Q u a rte rly , 25:^66-U68, December, 195k. "^Olive G, Young, "A Study o f Kinesthesis in the Relationship t o Selected Movements," Research Q u a rte rly , 16:277-283, December, 19^5. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -7b a t t e r y of k in e s th e ti c t e s t s to see i f th ere was a r e la tio n s h ip be tween t h e i r success in body movements and t h e i r success in the k in e s t h e t i c t e s t s . She concluded t h a t th ere was no r e la tio n s h ip between k i n e s th e ti c sense and general motor a b i l i t y . Establishment of K inesthetic Tests Many t e s t s have been developed fo r measuring k in e s th e tic p er ception. No two in v e s tig a to rs have s e le c te d the same b a t te r y of t e s t s , which probably shows t h a t a tru e b a tte ry been developed. The stu d ies satisfa c to ry te s ts of t e s t s has not yet reviewed here were attempts to find or t e s t b a tte ry s to measure k in e s th e tic perception. g Langfeld and A llp ort t h e t i c p erceptio n. is developed eight t e s t s They described a v e r t i c a l space l i n e a r t e s t which frequently used in physical education research. sub ject s i t s to measure k ines In t h i s te st, the a t a ta b le with a y a rd stic k placed v e r t i c a l l y in fron t of him and i s t o l d to view a c e rta in mark on the y a rd s tic k . blind fo ld ed and t o l d to point to t h i s mark. He i s then This t e s t has been found t o have a c o n sis te n tly high r e l i a b i l i t y which was shown by a cor re la tio n of .9 0 between a t e s t and a r e t e s t . Roloff^ developed a b a tte r y o f k in e s th e tic t e s t s to i n v e s t i gate the r e la tio n s h ip between k in e s th e ti c sense and the learn in g r a te o f college women in various motor s k i l l s . Her b a tte ry of four t e s t s ^Herbert Langfeld and Floyd A l l p o r t , An Elementary Laboratory Course in Psychology (New York : Houghton M ifflin Company, 1 9 1 6 ) , p. 6 0 . ^Louise L. Roloff, "Kinesthesis in the Relation to the Learning o f Selected Motor S k i l l s , " Research Q u a rte rly , 2^:210-217, May, 1953. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -8were the balance s t i c k , arm r a i s i n g , weight s h i f t i n g , and arm c i r c l i n g . These were s e le c te d from a l a r g e r b a t t e r y o f eig ht t e s t s by use of the D o o l i tt le method of computing m ultiple c o r r e l a t i o n s . th e lower a su b je ct scored on a t e s t , improvement. Her r e s u l t s Roloff found th e b e t t e r her chances were for in d ic ate d a p o s i t i v e , but not s i g n i f i c a n t , r e la t io n s h i p between k in e s th e ti c perception and motor a b i l i t y as measured by the Scott T e s t s . P h illip s ^ ^ studied the r e la t io n s h i p between the scores subjects made on ten t e s t s of k in e s th e ti c perception and t h e i r accuracy in p u ttin g and driving a g o lf b a l l . One of the t e s t s , moving a sty lu s through a winding path in the l e a s t amount o f tim e, was s i g n i f i c a n t l y c o r r e la te d with p u ttin g accuracy, but not with driving accuracy. Also, a miniature p u ttin g accuracy t e s t , which subjects performed while b lin d fo ld e d , showed p o s itiv e c o rre la tio n s with p u ttin g accuracy ( r = . 3 3 ) and with driving accuracy ( r = , 2 7 )» Weibe attempted to find a b a t te r y o f t e s t s which could be used to study k in e s th e s is . of fifte e n a th le te s In h is i n v e s ti g a t io n s , he used one group and another group of f i f t e e n n o n -a th le te s. su b je c t was t e s t e d with a b a t te r y of twenty-one t e s t s . th a t f i f t e e n of the t e s t s were r e l i a b l e t e s t i n g instruments. Each He concluded and recommended them as u seful There was no sin g le t e s t with a high enough v a l i d i t y c o e f f ic i e n t to j u s t i f y its use alone in measuring k in e s th e s is . E. P h i l l i p s , "The Relationship Between Certain Phases of K in esth etic Perception t o Motor Learning," Research Q u arterly , 12: 571-586, October, 19^1. ^^Vernon Weibe, "A Study of Tests o f K in esth esis," Research Q u a rte rly , 25 :222-2 30, May, 195^* R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. - 9 - He found a difference in the scores of the k in e tth e tic t e s ts which were in favor of the athletesc By the in te r-c o rre la tio n of the composite T-scores, he found th a t the best battery of t e s t s were the balance lengthwise, leg r a i s e , v e r t ic a l space, and separate feet. In the follow-up study, Weibe 12 did a factor analysis on a b atte ry of forty-four measures of k in esth esis. emerged were arm s t a t i c thig h -leg s t a t i c Four factors which function, k inesthetic response to balance, function, and arm dynamic function On the basis of r e l i a b i l i t y , t e s t v a l id it y , and t e s t uniqueness, the following seven t e s t s were suggested for use in the study of kinesthesis: arm side ward, arm forward, balance lengthwise, balance crosswise, leg flexion, thigh r a is in g , weight s h i f ti n g , and p ull duplicate. Magruder k in esth etic t e s t s . investigated the d iffe ren t ways of administering She was also intereste d in how one would find the best t e s t s of kinesthesis for a t e s t b atte ry . t h e ti c sense is made up of component p arts. She noted th a t kines I f we are to get a true measure of one's k in esth etic sense, we w ill need a battery of t e s t s th a t w ill measure each of these p arts. She designated the component parts as the a b i l i t y to balance, the a b i l i t y to assume and identify body p o sitio n , the a b ility to recognize muscular contraction of a known amount, and the a b i l i t y to orientate the body in space. Magruder found i t best to allow the subjects one practice t r i a l id en tic al to ^^Vernon Weibe, "A Factor Analysis of Tests of K inesthesis,” (Microcarded Doctorate Thesis, University of Oregon, Eugene, Oregon, 1963). ■^^ary Alice Magruder, "An Analytical Study of the Testing for Kinesthesis," (Microcarded Doctorate Thesis, University of Oregon, Eugene, Oregon, 1963). R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. —1 0 — the re a l t r i a l s p rio r to actually administering the t e s t s . From these s tu d i e s , one may conclude that there is no single t e s t t h a t can measure kin esth etic perception. A battery of t e s ts must be selected before any investigation can be made concerning the rela tio n sh ip between kin esth etic sense and motor a b i l i t y . tio n must be made on the basis of r e l i a b i l i t y , ness of the t e s t s to measure the d ifferen t This selec v a lid ity , and unique components a ttrib u te d to k in esth etic sense. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. CHAPTER I I I PROCEDURE OF THE STUDY Subjects The eight players on the 1953-1964 Freshman basketball team were used as the experimental group, and sixteen students were chosen at random from physical education service classes for the control group. Test Battery The t e s t s used in t h i s study were chosen because they were suggested by Weibe (page 8 ) and measured the component parts th at Magruder (page 9) said were necessary in measuring kinesthetic sense. The following t e s t s were used: Balance Stick^ A s tic k which was one inch square and twelve inches long was securely attached to the center of a board which was one inch thick and one foot square. The subject was blindfolded and given the following verbal in stru ctio n s: 1. "Stand with your foot lengthwise on the s tic k ." 2. "When your foot is secure, l i f t the other foot o ff the floor and hold your balance as long as possible." 3. You may do anything you lik e to hold your balance as long as you do not touch the floor with any part of your body." 1Louise L. Roloff, "Kinesthesis in the Relation to the Learning of Selected Motor S k i l l s , " Research Quarterly, 24:216, May, 1953. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -1 2 - h, "You w ill be timed from the moment you l i f t your foot u n t il some part of your body touches the flo o r." 5. "You may have one practice t r i a l and thenyou w ill be timed for the three t e s t t r i a l s . " 6. "Do your best as you are competingagainst everyone else who is taking th is t e s t . " One demonstration was given while the instructions were being given. The subject was timed, to the nearest tenth of a second, from the moment he l i f t e d his free foot u n ti 1 some part of his body touched the flo or. The subject was given three t r i a l s and the average was taken as his score for th is t e s t . Arm Raising 2 The manner of raisin g the arm was demonstrated to the subject. The subject was then blindfolded and given the following in stru ctio n s: 1. "Raise your rig ht arm to the horizontal p ositio n." 2. "Hold th is position u n t i l I t e l l you to lower your arm." The t e s t e r faced the subject and used a gonimeter to determine how many degrees the s u b je c t’s arm was from the horizontal. The ver t i c a l lin e was found by having a plumb bob hanging in front of the subject. An imaginary line passing through the shoulder jo in t to the base of the thumb should have been at right angles to the v e r tic a l lin e to a tta in a perfect score (zero). The deviation from the h ori zontal was recorded to the nearest degree. and the t e s t repeated twice more. The arm was then lowered The average of the three t r i a l s was recorded as the s u b je c t's score. 2 lb id . R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. "13- Weight Shifting^ The equipment for th is t e s t consisted of a bathroom scale and a block of wood twelve inches long, six inches wide, and the same height as the sc a le . sc a le . The block was placed on the l e f t side of the The subject placed h is l e f t foot on the scale. foot on the block and his rig h t One demonstration was made while the following verbal in stru c tio n s were given. 1. "Stand with both feet on the scale so th a t I can determine your t o t a l weight," 2. "Now stand with your l e f t foot on the block of wood and your rig h t foot on the s c a le ." 3. "Keep looking s tr a ig h t ahead and do not look down at any tim e." 4. "Now I want you to balance yourself so th a t you w ill have one-half of your t o t a l weight on the s c a le ." Each subject was given three t r i a l s . The score for each t r i a l was recorded as the deviation, to the nearest quarter of a pound, from one-half the s u b je c t's t o t a l w e i ^ t . The average of the three t r i a l s was taken and recorded as the score for th is t e s t . V ertical Linear Space^ The equipment for th is t e s t was a yardstick fastened v e r tic a lly ^Ibid. ^Herbert Langfeld and Floyd A llp o rt, ^ Elementary Laboratory Course in Psychology (New York: Houghton M ifflin Company, 1916), p. 60, R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. — xU— on a w all and a chair which was placed so th a t the subject was Just able to reach the yard stick with the index finger of h is rig h t hand. After the subject sa t down on the c h a ir, he was given the following in stru c tio n s : 1. "Look at the eighteen inch mark and fix i t s location in your mind." 2. "I w ill b lind fo ld you and then I want you to point to th is mark with your rig h t index fin g er." 3. "I w ill record your score as the point at which your finger n a il is pointin g." U. "You w ill then be asked to lower your arm to your lap and repeat the t e s t again." 5. "We w ill do th is t e s t three tim es." This deviation was measured in inches to the nearest quarter of an inch. The re s u lt from each t e s t was recorded as the deviation from the eighteen inch mark. The s u b je c t's score for th is t e s t was the average of the deviations for the three t r i a l s . Training of the Tester All of the data for th is study were collected by the investiga to r. To assure the best possible r e s u lts , the te s tin g procedures were practiced for a period of three weeks with students from physical education service classes p rio r to the time the data were collected. The t e s t - r e t e s t method was used to find t e s t r e l i a b i l i t i e s , The co rre la tio n between a t e s t and a r e te s t was .97 for arm ra is in g , fo r balance s tic k , .9^ . 9 3 for v e r tic a l lin e a r space, and . 7 9 for weight R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -15s h if tin g . The t e s t - r e t e s t method of finding r e l i a b i l i t y is shown in Appendix A. Testing Procedure The two groups were te s te d during the following four in te rv a ls of the 1 9 6 k b asketball season: and February 28« January 11, January 20, February 8 , The subjects in the control group were te s te d during t h e i r regularly scheduled physical education service classes. The members of the b asketball team were te s te d during appointments. All te s tin g was done in the Research Laboratory of the Physical Education Department. Procedure of Each Test Period The two groups were te s te d by id e n tic a l methods. were brought in to the laboratory in groups of four* dressed in gym uniforms and tennis shoes. in the following sequence: The subjects They were a l l The t e s t s were always given ( l) balajice s tic k , ( 2 ) weight s h if tin g , ( 3 ) arm ra is in g , and ( h ) v e r tic a l lin e a r space. A fter the t e s t period was over, the subjects were to ld they would be contacted again when i t was time for the next t e s t . The subjects were asked not to p ra c tic e any of the t e s ts during the time between t e s t periods. Method of Data Collection The data from each t e s t period were recorded on individual data sheets fo r each su b ject. A fter the data had been collected from the four t e s t p erio d s, a data sheet was made for each t e s t item. o f these data sheets have been included in Appendix C. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. Copies CHAPTER IV ANALYSIS AND DISCUSSION OF RESULTS Analysis of Results Method of Analysis The mean, median, and range of the scores for the experimental and control groups are presented in Table I . Since one group repre sents a th le te s and the other n o n -a th le te s, i t was possible to in v e s ti gate the differences between the groups in k in esth e tic perception as a sub-problem. The Mann-Whitney U Test (Appendix B) was chosen because i t was f e l t desirable not to assume normality of the sample. This was done because of the small size of the two groups and the se le c t nature of the experimental group. To in v estig ate the primary problem of th is study, i t was necessary to determine whether changes occurred within the groups during the eight week experiment. I f such a change were found, i t might then be possible to determine whether the tra in in g program of the b asketball players had any e ffe c t on t h e i r k in esth etic perception by comparing the experimental group with the control group. The Friedman Two-Way Analysis of Variance by Ranks (Appendix B) was used to determine whether the changes which occurred within each group were s t a t i s t i c a l l y s ig n ific a n t. chosen because of i t s This nonparametric s t a t i s t i c a l model was a d a p ta b ility to the problem. The hypothesis te s te d was th at there was no change within the groups between t e s t periods. The .05 lev el of significance was chosen as the point at R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -17tr\ c— on on co on o O n f-» oo 0 \ OJ l A ta r -t (H -v o o § w E H ta CVJ oo t - o C3N i - t o L A ^ iA -= r o CM N Oon o -zr on o -=r p on lA N O -zt ^ o ^ o on o on o LA o n r - | CM CM NO -Zf «H c o NO o LA LA CM on co _zr o NO t — NO LA o rH LA o M c o LA NO LA o LA-Zt ON LA . CM NO la -Z f o t— o LANO t —f -= f CM o n -Zf CM NO LA on o NO NO NO iH NO t~ O on M o on on ON o I— ! eu I t— C M vo on rHO Non C?N fH t— CM NO O -= r NO O CM t— CM ON NO on -z3- t — C O LA on CTN LA NO on _zf on O NO o t— h -N O r - l NO NO CM on o fH on o ta rHi-î O Ô N O on on _3- J- co * * o co co co co co on o CM on o LAC Mon o LA ^ on onN O _ 3 - OO t — CM C O NO o on on t— o ^ I (H on NO t- on NO o H l A on t— on o n CM NO lAlAon on fH on NO co * ta o o «—4 O n 0 \ lA CM CM -=f ON o NO o o LA ["— C~- NO oo o o NO LANO t--zt on -zt on on iH LANO LA LANO ON LA m on C Mon iH CJN-zf NO OO OO I—! <u DO Ü ro ta ro <u g <i) 0) d S S K u 0) d bD C (D d ta % d § '-O 0) d s S I 0> o d < ü C J •p d o •H t: p C bO a g ra d bO g m ta p ■8^ bO c •H w 'd ta «r4 li la o % Il II § ta o cq * * * •H §■ I— t f-, g 0) & § i R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout p erm ission . —18— which ihe n u ll hypothesis was to be reje c te d . The same level of s i g n i f i cance was used for both analyses. Results of Analysis The Mann-Whitney II Test was used to determine i f there were any tru e differences between the scores of the experimental and con t r o l groups at each t e s t period. No s ig n ific a n t differences between the two groups were found at any time on any of the four t e s t item s. With the application of the Friedman Two-Way Analysis of Var iance by Ranks, the v e r tic a l lin e a r space t e s t showed a sig n ific a n t difference between the f i r s t t e s t period and the l a s t three t e s t periods in both the experimental and control groups. No sig n ific a n t changes within e ith e r of the two groups were shown for the balance s tic k t e s t , the weight s h if tin g t e s t , and the arm ra isin g t e s t . Discussion of Results A ltho u^ the experimental group had b e tte r scores than the control group on a l l of the t e s t s , the difference was not s ig n ific a n t a t the .05 le v e l. Therefore, i t was concluded th a t there was no tru e difference between the a th le te s and the non-athletes in k in esth etic perception as measured by these t e s t s . I t was also concluded th a t the tra in in g program of the b asketball players had no e ffe c t upon t h e i r k in e sth e tic perception. The only t e s t which showed a sig n ific a n t change within each group was the v e r tic a l lin e a r space t e s t . Since th is change occurred in both groups, i t must be concluded th a t i t was due to some facto r other than p a rtic ip a tio n in the basketball tra in in g program. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. —19*" Apparently, this change was due to a learning effect since it occurred in both groups between the first and second tests. The re s u lts o f th is study agreed with those of Taylor^ in th a t th e re were no s ig n ific a n t differences between the k in esth e tic percep tio n of the a th le te and the non-athlete. Taylor did conclude th a t the a th le te s had b e tte r k in e sth e tic perception because they scored higher than the non-athletes on the individual t e s t items. However, th is conclusion was not supported by s t a t i s t i c a l evidence. P h illip s and Summers 2 sta te d th a t there was a relatio n sh ip between motor learning and p o sitio n a l measures of k in esth e sis. however, there were no sig n ific a n t findings at the port th is view. Again, . 0 5 level to sup The t e s t s they used only indicated p ositiv e r e la tio n ships between motor learning and the k in esth e tic t e s t s . Roloff also f e l t th a t there was an indication th a t a p ositiv e re la tio n sh ip existed between kinethesis and the ra te a t which women learn motor s k i l l s . However, she found no s ig n ific a n t differences in k in e sth e tic perception between fa st and slow lea rn ers. Her opinion was based on the fact th a t fa s t learners did b e tte r than slow learners on her t e s t s of k in esth e tic perception. W . J . Taylor, "The Relationship Between Kinesthetic Judgement and Success in Basketball" (unpublished Master's Thesis, Penn State U niversity, College Park, Pennsylvania, 1933), p. 33. ^Marjorie P h illip s and Dean Summers, "Relation of Kinesthetic Perception to Motor Learning," Research Q uarterly, 25:^66-468, December, 1954. ^Louise L. R oloff, Kinesthesis in the Relation to the Learning of Selected Motor S k ills ," Research Q uarterly, 24:210-217, May, 1953. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -20The findings from t h i s study agreed with those of Young.^ She concluded th a t there seemed to be no re latio n sh ip between k in esth e tic sense and general motor a b ility since she did not find any s ig n ific a n t re la tio n sh ip between the two. From the findings of th is study, i t was concluded th a t there was no s ig n ific a n t difference between the a th le te and the non-athlete in k in e sth e tic perception as measured by these t e s t s . This would at f i r s t appear to be in disagreement with findings by other inv estiga tio n s . However, a f te r clo ser examination of t h e ir stu d ie s, i t would appear th a t some authors apparently drew conclusions th a t were not supported by t h e i r s t a t i s t i c a l analysis. is This is probably why there an apparent disagreement among the in v estig ato rs on the role of k in e sth e tic perception, whether i t be re la te d to general motor learning or differences between a th le te s and non-athletes. ^Olive G. Young, "A Study of Kinesthesis in the Relationship to Selected Movements," Research Q uarterly, 16:277-283, December, 19^5. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. CHAPTER V SUMMARY, CONCLUSIONS, AND RECOMMENDATIONS Summary and Conclusions The purpose of th is study was to determine i f changes occur in the k in e sth e tic perception of basketball players during a competitive season. A sub-purpose was to determine i f there were any differences between a group of a th le te s and a group of n o n -a th le te s. Two groups of subjects were used. One was an experimental group of freshmen b ask etb all players (a th le te s ) and the other a control group of physical education students (no n-athletes). A b a tte ry of four accepted k in esth e tic te s ts consisting of balance s ti c k , weight s h if tin g , v e r tic a l space, and arm ra isin g were used to measure the k in e sth e tic perception of each su b je c t. The b a tte ry o f t e s t s was given four times at equal in te rv a ls th ro u ^ o u t the b ask etb all season. Each subject was given the complete t e s t b a tte ry during each t e s t period. Therefore, any difference in the k in e s th e tic perception between the two groups at any t e s t period or any change which might occur within each group between t e s t periods could be determined. The Mann-Whitney U Test was selected to determine i f there were any s ig n ific a n t differences between the experimental group and the control group. No s ig n ific a n t differences between the two groups were found at any t e s t period. Therefore, i t was concluded th a t there were no s ig n ific a n t differences of k in esth e tic perception be tween the a th le te and the non-athlete as measured by these t e s t s . R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. -22The Friedman Two-Way Analysis of Variance by Ranks was used to determine whether there was any change in the k in esth e tic percep tio n of e ith e r group between t e s t periods. The only t e s t item which showed a s ig n ific a n t change was the v e r tic a l lin e a r space t e s t . Since the change was found in both groups between the f i r s t and the second t e s t p erio d s, i t was apparently due to a learning fa c to r and not an actual change in k in e sth e tic perception. Therefore, from the data collected in t h is study i t was concluded th a t the basketball tra in in g program did not bring about a change in k in esth e tic percep tio n during the competitive season. Recommendations 1. I t is recommended th a t fu rth e r work be done to gain a b e tte r knowledge of the tru e nature of k in esth esis. This knowledge could then be u tiliz e d for the develop ment of a standard b attery of k in esth e tic t e s t s . 2. I t is recommended'that more studies be done to in v e s ti gate the importance of k in esth e tic perception in the learning of new motor s k i ll s since there is a disagree ment between many in v estig ato rs at th is time. b e tte r t e s t s However, of k in e sth e tic perception should be devel oped p rio r to the time th is is done. 3. I t is fu rth e r recommended th a t more studies investigate k in e sth e tic perception lon gitudinally to find evidence as to whether k in e sth e tic perception changes within an ind ividual. R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. BIBLIOGRAPHY R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. BIBLIOGRAPHY A. Bard, P h illip . 1961. BOOKS Medical Physiology. Cooper, John and Ruth Glassow. Company, 1963. St. Louis; C. V. Mosby Company, Kinesiology. Edwards, Allen L. S t a t i s t i c a l Analysis. Company, I n c ., 1955. St. Louis: C. V. Mosby New York: Rinehart and Langfeld, Herbert and Floyd A llport. An Elementary Laboratory Course in Psychology. New York: Houghton M ifflin Company, 1916. Lindquist, E. F. A F ir s t Course in S t a t i s t i c s . M ifflin Company, 1 9 3 8 . S iegal, Sidney. Nonparametric S t a t i s t i c s . Company, I n c ., 1956. Wells, Katharine. 1961. Vtybum, G. M. Kinesiology. B. New York: McGraw-Hill Book Philadelphia: W. B. Saunders Company, The Nervous System. Zoethout, W. D. and W. ¥. T u ttle . C. V. Mosby Company, 19^6. New York: Houghton New York : Academic Press, I 9 6 I . Textbook of Physiology. St. Louis: PERIODICALS P h il li p s , B. E. "The Relationship Between Certain Phases of Kinesthetic Perception to Motor Learning," Research Q uarterly, 12:58^-585, October, 19^1. P h illip s , Marjorie and Dean Summers. "Relation of Kinesthetic Perception to Motor Learning," Research Q uarterly, 25: 456-469, December, 1954. R oloff, Louise L. "Kinesthesis in the Relation to the' Learning of Selected Motor S k ills ," Research Q uarterly, 24; 210-217, May, 1953. Weibe, Vernon. "A Study of Tests of K inesthesis," Research Q uarterly, 25:222-230, May, 1954. Young, Olive G. "A Study of Kinesthesis in the Relationship to Selected Movements," Research Q uarterly, 16:282-283, December, 1945. — 24 — R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. c. OTHER MATERIALS Magruder, Mary Alice. "An A nalytical Study of the Testing for K inesthesis." Microcarded Doctorate Thesis, University of Oregon, Eugene, Oregon, 1963. Taylor, W. J . "The Relationship Between Kinesthetic Judgment and Success in B asketball." Unpublished M aster's Thesis, Penn State U niversity, College Park, Pennsylvania, 1933. Weibe, Vernon. "A Factor Analysis of Tests of K inesthesis," Microcarded Doctorate Thesis. University of Oregon, Eugene, Oregon, 1963. -25- R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. APPENDIX R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. APPENDIX A METHOD OF FINDING RELIABILITIES OF EACH TEST ITEM Test Retest Formula^ £ xy = — r = c o e ffic ie n t of r e l i a b i l i t y N = sample size X = scores o f 1s t t e s t Y = scores of 2nd t e s t 2 Spearman-Brown Prophecy Formula = Ü I1 2 . 1 + (n- 1 ) ______________ ^12 = c o e ffic ie n t of r e l i a b i l i t y of a given t e s t ^n = c o e ffic ie n t of r e l i a b i l i t y of a t e s t n times as long as the given te s t n = number of times t e s t must be given to reach desired co efficien t of r e l i a b i l i t y The Spearman-Brown Prophecy Formula was used to determine how many t e s t t r i a l s should be given for each t e s t item. ^Allen L. Edwards, S t a t i s t i c a l Analysis (New York; Rinehart and Company, I n c ., 1955)> pp. 90-91. ^E. F. Lindquist, A F ir s t Course in S t a t i s t i c s (New York: Houghton M ifflin Company, 1938), pp. 200-20%. -27R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. APPENDIX B STATISTICAL MODELS USED FOR ANALYSIS OF RESULTS The Mann-Whitney U Test^ ni (n^+l) U = ng U= ^1 + ------ 2------------- __________ R a ng + = sum of ranks assigned to group with sample size ^1 R2 = sum of ranks assigned to group with sample size ^2 ^1 = size of sample 1 ^2 = size of sample 2 The Friedman Two-Way Analysis of Variance by Ranks X N * number of rows k = number of columns R = sum of ranks in J 2r = 12 Nk(k+1) 3 - (Ri)2 _ 3N(k+l) J=1 column 3„. Sidney S ieg al, Nonparametric S t a ti s t ic s Book Company, In c . , 1956), p. I l6 . (New York: McGraw-Hill ^ I b i d ., p. I l 6 . — 28— R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. APPENDIX C RESULTS OF BALANCE STICK TEST Subjects Period I Period II Period I I I Period IV EXPERIMENTAL GROUP A B C D E F G H 2.50 2.63 20.93 3.57 2.80 4.27 7.43 4.90 1.80 2.63 2.50 7.36 7.16 2.77 4.10 8.43 6.97 2.70 13.30 2.56 2.13 2.53 4.27 10.13 6.00 12.87 4.47 5.87 5.73 5.63 8.47 9.00 6.93 i4.o6 4.50 9.77 4.80 7.97 7.03 2.73 7.60 2.57 2.03 2.47 CONTROL GROUP I J K L M N 0 P Q R S T U W X Y 6.97 3.37 2.99 2.97 5.60 3.23 8.33 2.00 4.36 2.07 2.06 3.67 5.70 4.40 3.50 2.13 11.50 3.90 2.30 3.70 4.97 3.23 12.30 2.97 1.43 1.53 2.50 2.70 4 .6o 6.67 4.00 3.43 4.10 5.20 5.23 3.23 10.27 2.80 2.53 2.03 1.90 4.17 5.30 5.80 11.40 6.30 *Scores recorded in seconds R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. 2.43 9.67 5.97 5.33 6.07 3.27 -3 0 - APPENDIX C (continued) RESULTS OF ARM RAISING TEST Subjects Period I Period I I Period I I I Period IV 0.00 3.00 6.33 1.00 EXPERIMENTAL GROUP A B C D E F G H .67 U.OO 14.33 11.67 5.00 4.00 4.33 13.67 1.00 .33 7.00 5.67 2.00 5.33 3.33 8.33 .67 0.00 .33 5.00 11.67 .67 3.33 9.67 .33 6.33 8.33 7.00 1.67 6.67 7.33 2.33 12.33 2.00 11.33 6.33 1.33 1.00 2.00 1.67 2.67 5.33 1.33 11.67 8.00 20.00 9.33 0.00 2.66 4.33 4.67 9.00 5.00 1.67 .67 9.67 2.67 0.00 13.33 12.00 3.00 8.67 11.67 2.67 8.67 CONTROL GROUP I J K L M N 0 P Q R S T U W X Y 4.00 10.00 8.33 7.33 1.00 1.67 1.67 4.67 13.67 .67 .67 2.00 1.67 9.67 13.33 5.67 2.33 7.00 11.33 3.33 10.67 ^Scores recorded in deviations to the nearest degree R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. 8.00 2.67 10.33 8.33 3.67 4.67 -31APPENDIX C (continued) RESULTS OF WEIGHT SHIFTING TEST Subjects Period I Period II Period III Period IV EXPERIMENTAL GROUP A B C D E F G H 7.67 1.67 3.33 3.67 2.00 2.00 10.00 10,33 14.00 6.33 4.67 7.67 7.67 2.67 19.17 h.33 7.00 2.67 7.00 14.33 15.33 U. 6 7 2.00 3.67 .67 1.00 11.00 4.33 1.67 7.00 2.33 .33 CONTROL GROUP I J K L M N 0 P Q R S T U W X Y .33 1.33 3.33 8.17 3.67 1.00 2.33 6.33 8.00 1.33 11.66 10.00 2.67 4.67 5.67 1.33 13.33 4.67 1.33 3.00 13.00 3.33 .33 2.67 7.33 8.33 1.33 6.00 20.00 5.33 6.00 1.67 1.00 1.33 1.00 9.00 3.67 13.67 2.00 8.33 2.67 1.33 6.33 8.33 8.33 4.00 1.00 5.67 6.67 6.67 9.33 6.67 2.67 5.00 2.67 6.00 3.00 21.30 *Scores recorded in average of deviations R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. .67 12.00 4.33 3.67 3.33 18.33 -32APPENDIX C ( continued) RESULTS OF VERTICAL LINEAR SPACE TEST Subjects Period I Period I I I Period IV 1.67 1.50 .42 1.17 1.75 .08 .25 2.17 2.50 .75 .75 1.58 1.50 1.25 Period I I EXPERIMENTAL GROUP A B C D E F G H 5.75 1.17 2.75 3.17 3.50 1.75 1.75 3.58 2.42 3.08 1.67 .33 .17 .42 1.25 1.17 0.00 2.75 1.17 .58 .42 .92 .25 .42 CONTROL GROUP I J K L M N 0 P Q R S T U W X Y U.83 1.33 U. 0 8 k.33 2.92 .50 .33 1.67 .25 3.58 .92 .50 1.58 2.00 4,58 1.17 1.00 1.00 .42 1.58 .50 .50 1.91 .08 .67 .58 .75 2.58 3.33 .42 2.00 3.67 .67 1.58 .58 .25 1.00 1.25 0.00 2.08 .67 .83 1.92 2.25 4.75 1.75 1.00 .17 5.42 2.50 3.42 6.50 .84 .33 *Scores recorded in average deviation R ep ro d u ced with p erm ission o f th e copyright ow ner. Further reproduction prohibited w ithout perm ission. .75 .83 1.25 .58
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