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Predicting Students Performance in Giant Slalom

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PREDICTING STUDENTS PERFORMANCE IN GIANT SLALOM

(GLQ0XMDQRYLü

1, A, B, C, D

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1, B, C

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1, A, D

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2, A

1 8QLYHUVLW\RI7X]OD)DFXOW\RI3K\VLFDOHGXFDWLRQDQG6SRUW%RVQLDDQG+HU]HJRYLQD 2 8QLYHUVLW\RI6DUDMHYR)DFXOW\RI6SRUWDQG3K\VLFDOHGXFDWLRQ%RVQLDDQG+HU]HJRYLQD A Study Design; B Data Collection; C Statistical Analysis; D0DQXVFULSW3UHSDUDWLRQE Funds Collection

Address for correspondence: (GLQ0XMDQRYLü 8QLYHUVLW\RI7X]OD)DFXOW\RISK\VLFDOHGXFDWLRQDQGVSRUW 2NWREUDEU7X]OD%RVQLDDQG+HU]HJRYLQD 3KRQHID[ (PDLOHGLQPXMDQRYLF#XQW]ED

Abstract.

7KHDLPRIWKLVUHVHDUFKLVWRGHWHUPLQHWKHLPSDFWRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJRQVXFFHVVLQJLDQWVODORP race of students. On a VDPSOHRIVWXGHQWVRIWKH)DFXOW\RI3K\VLFDO(GXFDWLRQDQG6SRUWWKHUHKDVEHHQXVHGVHWRIIRXUYDULDEOHV RIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJDVSUHGLFWRUYDULDEOHVWRGHWHUPLQHWKHLPSDFWRQWKHFULWHULRQYDULDEOHPRGLILHGJLDQW VODORPUDFH,WZDVIRXQGWKDWWKHYDULDEOHVG\QDPLFORQJUDGLXVWXUQVDQGVNLLQJZLWKWKHFKDQJHVRIUK\WKPDQGWHPSRWRJHWKHUKDYH a JUHDWHVWSUHGLFWRUYDOLGLW\DW statisticallyVLJQLILFDQWOHYHORIS DQGWKDWWKH\DUHFULWLFDOIRUVXFFHVVLQPRGLILHGJLDQWVODORPUDFH

RIVWXGHQWV,WFDQEHFRQFOXGHGWKDWWKHLPSDFWRQWKHUHVXOWLQWKHPRGLILHGJLDQWVODORPUDFHIRUVWXGHQWVKDYHWKHOHYHORIPDVWHULQJ RIDGYDQFHGHOHPHQWVRIVNLWHFKQLTXHZKLFKDWWKLVOHYHORINQRZOHGJHLVFUXFLDOLQJLDQWVODORPFRPSHWLWLRQ7KHUHVXOWVRIWKLVVWXG\ PD\EHRILPSRUWDQFHLQFUHDWLQJSURJUDPVIRUGLIIHUHQWOHYHOVRIPDVWHULQJRIVNLLQJWHFKQLTXHVLQERWKDGYDQFHGVNLVFKRRODQGVRPH VWDJHVRIFRPSHWLWLYHVNLLQJZKLFKLVRIJUHDWLPSRUWDQFHIRUWKHUHVXOWLQJLDQWVODORPDQGVNLLQJLQJHQHUDO

Key words:

VSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJUDFHUHJUHVVLRQDQDO\VLVLPSDFW

Introduction

$OSLQH VNLLQJ EHORQJV WR WKH PRWRU DFWLYLWLHV ZKLFK WDNH SODFH LQ VSHFLILF DQG FRPSOH[ FRQGLWLRQV RI WKH H[WHUQDOHQYLURQPHQW&RQGLWLRQVDWHYHU\UDFHFRXUVHDUHVSHFLILFDQGXQLTXHQRWRQO\EHFDXVHRIWKHUDFHFRXUVH FRQILJXUDWLRQEXWDOVREHFDXVHRIWKHSRVVLELOLW\RIGLIIHUHQWZD\VRIVHWWLQJXSWKHVNLJDWHV .ULVWLþHYLüHWDO  Also during motion on skis there is constant danger of losing balance which is determined by the minimum friction EHWZHHQWKHVNLEDVHDQGWKHVQRZVXUIDFH,IWKHVNLHUKDVPDVWHUHGWKHWHFKQLTXHRIDOSLQHVNLLQJWRKLJKOHYHOLW ZLOOEHHDVLHUWRJRGRZQWKHVORSHGXHWRUHTXLUHPHQWVWRFRQWLQXRXVO\DGDSWWRFRQGLWLRQVLQUHJDUGWRWKHVSHHG and direction of movement down the default race course.

6XFFHVVLQWKH$OSLQHGLVFLSOLQHVGHSHQGVSULPDULO\RQWKHOHYHORIWKHDGRSWHGVNLVSHFLILFPRWRUNQRZOHGJH )UDQMNR HW DO   ZKLFK UHTXLUHV H[FHSWLRQDO VNLHUV DJLOLW\ FRRUGLQDWLRQ VWUHQJWK DQG HQGXUDQFH EHFDXVH

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Material and methods

Participants

7KHSDUWLFLSDQWVLQWKLVUHVHDUFKZHUHPDOHVWXGHQWVIURPWKH)DFXOW\RI3K\VLFDO(GXFDWLRQDQG6SRUW DJHG“PRQWKVZKRDWWHQGHGWKHFODVVHVLQWKHDOSLQHVNLLQJ7KHWHDFKLQJSURFHVVRIWKHVXEMHFWDOSLQH VNLLQJWKDWWDNHVSODFHLQWKHZLQWHUVHPHVWHURIWKHWKLUGDQGIRXUWK\HDURIXQLYHUVLW\VWXGLHVFRQWDLQVH[HUFLVHV in the form of a ILHOGFRXUVHIRUKRXUVGXULQJWKHVHPHVWHUDQGOHFWXUHVIRUKRXUVGXULQJWKHVHPHVWHU $OOH[DPLQHHVXQGHUZHQWFRXUVHVRIVNLLQJRQDGHTXDWHVNLUHVRUW7KHILUVWFRXUVHRIHOHPHQWVRIEDVLFVNL WHFKQLTXHODVWHGGD\V7KHVHFRQGFRXUVHRIHOHPHQWVRIDGYDQFHGVNLWHFKQLTXHWRRNSODFHD year after the first FRXUVHDQGDOVRODVWHGGD\VDIWHUZKLFKWKHH[DPLQHHVWDNHWKHWHVW6NLOHVVRQVIRUGD\VZHUHH[HFXWHG E\WHDFKHUVIROORZLQJWKHLGHQWLFDOSURJUDP1RQHRIWKHH[DPLQHHVKDGSULRUH[SHULHQFHZLWKVNLLQJDQGJLDQW VODORPFRPSHWLWLRQ$OOVWXGHQWVIURPWKHVDPSOHZHUHZLWKRXWH[SUHVVHGPRUSKRORJLFDOPRWRUDQGSV\FKRORJLFDO aberration and they were able to regularly attend lectures and courses in the third and fourth year of the university VWXG\7KH(WKLFDO&RPPLWWHHRI7X]OD8QLYHUVLW\DSSURYHGWKHVWXG\DQGWKHSURFHGXUHVFRQIRUPHGWRWKHSULQFLSOHV RIKXPDQH[SHULPHQWDWLRQRXWOLQHGLQWKH'HFODUDWLRQRI+HOVLQNL$OOSDUWLFLSDQWVZHUHLQIRUPHGRIWKHSURFHGXUHV DQGSRWHQWLDOULVNVDQGJDYHWKHLUZULWWHQFRQVHQWWRSDUWLFLSDWHLQWHVWLQJ

Variables

,QGHWHUPLQLQJWKHOHYHORIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJDVSUHGLFWRUYDULDEOHVWKHH[DPLQHHV were evaluated in four ski elements as follows%$37±EDVLFSDUDOOHOWXUQV'657±G\QDPLFVKRUWUDGLXVWXUQV

'/57±G\QDPLFORQJUDGLXVWXUQVDQG6&57±VNLLQJZLWKWKHFKDQJHVRIUK\WKPDQGWHPSRDVWKHHOHPHQWVRI DGYDQFHGVNLVFKRRODFFRUGLQJWRWKHFXUULFXODRIVNLLQJDQGEDVHGRQDQH[SHUW model of advanced ski school .XQD 

7KHUHVXOWVDFKLHYHGE\WKHVWXGHQWVLQJLDQWVODORPFRPSHWLWLRQUHSUHVHQWWKHFULWHULRQYDULDEOH0*65± modified giant slalom race.

Instrument

'HVFULSWLRQRIPRYHPHQWVGXULQJSHUIRUPDQFHRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJDQGFRPPRQ PLVWDNHVDUHH[SODLQHGE\D ODUJHQXPEHURIUHVHDUFKHUV -XUNRYLüDQG-XUNRYLü/HãQLNDQGäYDQ.XQD 0XMDQRYLüHWDO 7KHDQDO\WLFDOPHWKRGRIDVVHVVPHQWLVXVHGDVPRVWDSSURSULDWHIRUWHVWLQJDQG HYDOXDWLQJDWWKHHQGRIWKHHQWLUHDWKOHWLFVSURJUDPZKHQVWXGHQWVKDYHDOUHDG\PDVWHUHGWKHWHVWH[HUFLVHDQG WKHLUNQRZOHGJHKDVDOUHDG\EHHQWHVWHG 0DMHULþHWDO ZKLFKLVDOVRWKHFDVHLQWKLVVWXG\ $OOWHVWLQJZDVFRQGXFWHGRQWKHVDPHVORSHPDUNHGE\VDIHW\IHQFHZLWKVWDUWDWDQDOWLWXGHRIPDQGWKH ILQLVKOLQHDWDQDOWLWXGHRIPRQDQLQFOLQHEHWZHHQƒDQGƒ7KHJLDQWVODORPFRXUVHZDVZLWKD JDWHVHWXS of 13 gates, with distance between the gates of 15 m as a constant value and a horizontal offset of 7 m between first DQGVHFRQGILIWKDQGVL[WKDQGHLJKWKDQGQLQWKJDWHDQGPEHWZHHQWKHUHPDLQLQJJDWHV

$VVHVVPHQWFULWHULDZLWKPHDVXUHPHQWVFDOHDQGGHVFULSWLRQRIVWDQGDUGVWKDWDUHEDVHGRQWKHTXDOLW\RI H[HFXWLRQRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJDUHSUHVHQWHGLQ7DEOH

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Table 1.

Assessment criteria

Measurement

scale (marks) 'HVFULSWLRQRIVWDQGDUGV

5 6WXGHQWSHUIRUPVVNLLQJHOHPHQWZLWKVHOIFRQILGHQFHZLWKRXWWHFKQLFDODQGDHVWKHWLFPLVWDNHV

4 6WXGHQWSHUIRUPVVNLLQJHOHPHQWZLWKODFNRIVHOIFRQILGHQFHDQGZLWKGLVFRQWLQXRXVSXVKLQJRIORZHUH[WUHPLW\MRLQWVRQZDUG and in the direction of new turn

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

Procedure

Testing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of task and criterion, where the mark 1 is the lowest. Objectivity of evaluation is higher as higher is the level of DJUHHPHQWEHWZHHQWKHDSSUDLVDOVWKDWDUHDVVLJQHGWRH[DPLQHHV 0HMRYãHN'L]GDU.ULVWLþHYLüHWDO  2WKHUDXWKRUV .RYDþ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second.

Data analysis

7KHGDWDRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJZDVFROOHFWHGGXULQJWKHHYDOXDWLRQ$QDO\VLVRIWKH GDWDZDVSURFHVVHGXVLQJD VRIWZDUHV\VWHPIRUGDWD'HVFULSWLYHVWDWLVWLFV 0±DULWKPHWLFPHDQ6'±VWDQGDUG GHYLDWLRQ0LQ±PLQLPXPYDOXHDQG0D[±PD[LPXPYDOXH ZHUHFDOFXODWHGIRUHDFKYDULDEOH'DWDVHWVZHUH FKHFNHG IRU QRUPDOLW\ XVLQJ .6 ± .ROPRJRURY6PLUQRY WHVW 6LJQLILFDQFH S  IRU DOO VWDWLVWLFDO WHVWV ZDV VHW

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at S”6SHDUPDQ¶VUDQNFRUUHODWLRQFRHIILFLHQWDVD QRQSDUDPHWULFPHDVXUHRIVWDWLVWLFDOGHSHQGHQFHEHWZHHQ

WZRYDULDEOHVZDVXVHGWRGHWHUPLQHYDOXHVRIFRUUHODWLRQFRHIILFLHQWVEHWZHHQVSHFLILFPRWRUNQRZOHGJHRIDOSLQH skiing and results in giant slalom race.

8VLQJIDFWRUDQDO\VLVSULQFLSDOFRPSRQHQWV +RWHOOLQJ¶VPHWKRG LWZDVGHWHUPLQHGZKHWKHUDOOH[DPLQHUV HYDOXDWHGWKHVDPHREMHFWRIPHDVXUHPHQW7KH*XWWPDQ.DLVHUFULWHULRQZDVXVHGWRGHWHUPLQHWKHVLJQLILFDQFH RI WKH SULQFLSDO FRPSRQHQWV WKH FKDUDFWHULVWLF URRW Ȝ/DPEGD RI • ZDV FRQVLGHUHG  2EWDLQHG SULQFLSDO FRPSRQHQWVZLWKȜ•ZDVFRQVLGHUHGDVWKHODWHQWVSDFHRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJIRU regression analysis.

5HJUHVVLRQDQDO\VLVVWHSZLVHPHWKRGZDVDSSOLHGWRDQDO\]HWKHLPSDFWRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQH VNLLQJRQUHVXOWLQJLDQWVODORPUDFH6WHSZLVHUHJUHVVLRQLVGHVLJQHGWRILQGWKHPRVWVLJQLILFDQWVHWRISUHGLFWRUV WKDWDUHPRVWHIIHFWLYHLQSUHGLFWLQJWKHGHSHQGHQWYDULDEOHEDVHGXSRQVWDWLVWLFDOFULWHULD9DULDEOHVDUHDGGHG to the regression equation one at a WLPHXVLQJWKHVWDWLVWLFDOFULWHULRQRIPD[LPL]LQJWKHFRHIILFLHQWRIPXOWLSOH determination (R2) of the included variables. After each variable is entered, each of the included variables are tested

WRVHHLIWKHPRGHOZRXOGEHEHWWHURIILWZHUHH[FOXGHG7KHSURFHVVRIDGGLQJPRUHYDULDEOHVVWRSVZKHQDOORIWKH DYDLODEOHYDULDEOHVKDYHEHHQLQFOXGHGRUZKHQLWLVQRWSRVVLEOHWRPDNHD VWDWLVWLFDOO\VLJQLILFDQWLPSURYHPHQWLQ 5ðXVLQJDQ\RIWKHYDULDEOHVQRW\HWLQFOXGHG,QWKLVZD\WKHSUHGLFWLYHYDOXHRISUHGLFWRUYDULDEOHV¶LVHVWDEOLVKHG FRQVLGHULQJWKHLURSWLPDOQXPEHU

Results

5HYLHZLQJWKHUHVXOWVRIWKHGHVFULSWLYHVWDWLVWLFV 7DEOH LWLVQRWHGWKDWWKH0RIPDMRULW\RIHYDOXDWHGVNL elements, shows marks in the zone of medium values 2.26–3.19, with a 6'IURPWR)RU0*65±PRGLILHG giant slalom race M is 32.31, with a 6'$FFRUGLQJWRWKH.6WHVWUHVXOWV EHORZ ZHFDQVHHWKDWWKHUH DUHQRVWDWLVWLFDOO\VLJQLILFDQWGLIIHUHQFHV S EHWZHHQWKHREWDLQHGGLVWULEXWLRQRIUHVXOWVIURPD normal distribution of results.

Table 2.

'HVFULSWLYHVWDWLVWLFVRIDOOYDULDEOHV Valid N 18 M SD Min 0D[ KS S BAPT 2.59  1.33 3.67   DSRT 2.26   3.67   DLRT 3.19  1.67 4.67   SCRT 2.69  1.67 3.67   MGSR 32.31 4.31 27.26    7HVWGLVWULEXWLRQLVVLJQLILFDQWDWWKHS OHYHO &RQVLGHULQJWKDWLQWKLVVWXG\REMHFWRIPHDVXUHPHQWZDVWKHOHYHORIDFTXLUHGVSHFLILFPRWRUNQRZOHGJHRI DOSLQHVNLLQJRIH[DPLQHHVIDFWRUDQDO\VLVSULQFLSDOFRPSRQHQWVZDVFRQGXFWHGWRGHWHUPLQHZKHWKHUDOOH[DPLQHUV HYDOXDWHGWKHVDPHREMHFWRIPHDVXUHPHQW)DFWRUDQDO\VLVZDVDSSOLHGIRUWKHUDWLQJVDVVLJQHGE\WKHWKUHH H[DPLQHUVVHSDUDWHO\IRUHDFKRIWKHIRXUPDQLIHVWYDULDEOHVRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJ 5HVXOWVRIIDFWRUDQDO\VLVSULQFLSDOFRPSRQHQWVSUHVHQWHGLQ7DEOHVKRZWKHYDOXHVRIWKHILUVWSULQFLSDO FRPSRQHQWVWKDWPHHWWKHFULWHULDȜ•ZKHUHREWDLQHGUHVXOWVDUHȜ 2.57 for ski elementEDVLFSDUDOOHO

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turns, Ȝ IRUVNLHOHPHQWG\QDPLFVKRUWUDGLXVWXUQVȜ 2.64 for ski element dynamic long radius turns and Ȝ IRUVNLHOHPHQWVNLLQJZLWKWKHFKDQJHVRIUK\WKPDQGWHPSR$OVRLQDOOIRXUYDULDEOHVRIVSHFLILFPRWRU NQRZOHGJHRIDOSLQHVNLLQJWKHUHZHUHLGHQWLILHGKLJKSHUFHQWDJHVRIYDULDQFHDQGLWLVSRVVLEOHWRDUJXHWKDWWKH ILUVWSULQFLSDOFRPSRQHQWLVODUJHO\LQYROYHGLQWKHYDULDQFHRIDOOUHVXOWV7KHYDOXHVRIWRWDOH[SODLQHGYDULDQFHRI WKHILUVWSULQFLSDOFRPSRQHQWIRUVNLHOHPHQWEDVLFSDUDOOHOWXUQVLV, for ski element dynamic short radius turns is IRUski element dynamic long radius turns is DQGIRUVNLHOHPHQWVNLLQJZLWKWKHFKDQJHV RIUK\WKPDQGWHPSRis $VDOOWHVWVIRUHYDOXDWLRQRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJKDYHJRRG characteristics of sensitivity and objectivity, they allow use of the results for further analysis.

Table 3.

7KHSURMHFWLRQVRIWKHYHFWRURIPDQLIHVWYDULDEOHVRIDOOWHVWVZLWKH[WUDFWHGSULQFLSDOFRPSRQHQWV’, HLJHQYDOXHV Ȝ DQGSHUFHQWDJHRIH[SODLQHGYDULDQFHIRUH[WUDFWHGFRPSRQHQWV FXPXODWLYH ([DPLQHUV BAPTa DSRTa DLRTa SCRTa 1     2     3     Ȝ 2.57  2.64 2.66 &XPXODWLYH 85.67 79.89  88.57 ([WUDFWLRQ0HWKRG3ULQFLSDO&RPSRQHQW$QDO\VLV a 6LJQLILFDQWSULQFLSDOFRPSRQHQWH[WUDFWHGIRUHDFKWHVW

The isolated factors for each of the IRXUPDQLIHVWYDULDEOHVRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJZLOOEH XVHGLQIXUWKHUDQDO\VLVRIGDWDDVWKHODWHQWVSDFHRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJ

In a IXUWKHUDQDO\VLVRIGDWD6SHDUPDQ¶VUDQNFRUUHODWLRQFRHIILFLHQWVZHUHFDOFXODWHGEHWZHHQODWHQWVSDFHRI VSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJ REWDLQHGE\IDFWRUDQDO\VLVSULQFLSDOFRPSRQHQWVZKHUHȜ• DQGWKH results of the criterion variable, modified giant slalom race (Table 4). All obtained correlation coefficients are of high YDOXHVIURPU ±WRU ±DWWKHVWDWLVWLFDOO\VLJQLILFDQWOHYHORIS DQGWKH\DUHORJLFDOO\QHJDWLYHO\ correlated because numerically lower score is a better result in criterion variable.

Table 4.

6SHDUPDQ¶VUDQNFRUUHODWLRQFRHIILFLHQWVEHWZHHQODWHQWVSDFH RIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJYDULDEOHVDQGFULWHULRQYDULDEOH Valid N 18 MGSR BAPTa ± DSRTa ± DLRTa ± SCRTa ± &RUUHODWLRQLVVLJQLILFDQWDWWKHS OHYHO

*HQHUDOO\FURVVFRUUHODWLRQPDWUL[UHSUHVHQWD basis for regression analysis. Regression analysis VWHSZLVH PHWKRG ZDV SHUIRUPHG IRU WKH FULWHULRQ YDULDEOH PRGLILHG JLDQW VODORP UDFH0*65 DJDLQVW WKH IRXU SUHGLFWRU

YDULDEOHVODWHQWVSDFHRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJREWDLQHGE\IDFWRUDQDO\VLVSULQFLSDOFRPSRQHQWV

(7)

7DEOH7ZRPRGHOVFRPSRVHGRIRQH 0RGHO DQGWZR 0RGHO SUHGLFWRUYDULDEOHVZHUHIRXQGWREHVLJQLILFDQW 7KHYDULDEOHVNLLQJZLWKWKHFKDQJHVRIUK\WKPDQGWHPSR6&57a LVQHJDWLYHO\FRUUHODWHGDQGEHVWILWWKHSUHGLFWLRQ RIPRGLILHGJLDQWVODORPUDFH0*65DVVKRZQLQ0RGHO7KHYDULDEOHG\QDPLFORQJUDGLXVWXUQV'/57a also QHJDWLYHO\FRUUHODWHGFRQWULEXWHGVLJQLILFDQWYDULDQFHLQ0RGHO0XOWLSOHFRUUHODWLRQRIODWHQWVSDFHRIVSHFLILF PRWRUNQRZOHGJHRIDOSLQHVNLLQJIRUWKHVHWZRSUHGLFWRUVWRJHWKHUZLWKWKHFULWHULRQYDULDEOHZDVKLJK 5   DWVWDWLVWLFDOO\VLJQLILFDQWOHYHORIS $GGLWLRQDOO\WKHYDOXHRIPXOWLSOHGHWHUPLQDWLRQ R2  LQGLFDWHVWKDW RIWKHWRWDOYDULDQFHFDQSDUWLFLSDWHLQSUHGLFWLRQRIVXFFHVVLQPRGLILHGJLDQWVODORPUDFH0*65

Table 5.

5HJUHVVLRQDQDO\VLVVWHSZLVHPHWKRGIRUFULWHULRQYDULDEOH0*65

Model Predictor variable B Standard error ȕ t S R R2 S a, b

1 (constant) 32.31  57.34  a  a SCRTa –3.63  ± –6.27  2 (constant) 32.31    b  b SCRTa –2.25  ± –3.46  DLRTa ±  ± ± 

a Predictors in the Model: (constant), SCRTa. b Predictors in the Model: (constant), SCRTa, DLRTa. c'HSHQGHQW9DULDEOH0*65

:KHQZHORRNDWWKHFRHIILFLHQWVRIWKHSDUWLDOHIIHFWVRIODWHQWVSDFHRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQH skiing (Table 5), it can be said that these two variables, dynamic long radius turns and skiing with the changes of UK\WKPDQGWHPSRKDYHD VWDWLVWLFDOO\VLJQLILFDQWLPSDFWRQWKHFULWHULRQYDULDEOHDWWKHOHYHORIS”$VFDQEH VHHQIURPWKH7DEOHWKHRWKHUYDULDEOHVDUHH[FOXGHG

Table 6.

Regression analysis VWHSZLVHPHWKRG ([FOXGHG9DULDEOHVc

Model ȕIn t S Partial

correlation Collinearity statistics (tolerance) 1 BAPTa ±a –1.89  ±  DSRTa ±a ±  ±  DLRTa ±a ±  ±  2 BAPT a ±b ±  ±  DSRTa ±b ±  ± 

a Predictors in the Model: (constant), SCRTa. b Predictors in the Model: (constant), SCRTa, DLRTa. c'HSHQGHQW9DULDEOH0*65

Discussion

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

(8)

KDQGZHFDQVD\WKDWVDPSOHKRPRJHQHLW\UHJDUGLQJWKHVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJLVWKHHYLGHQFH RIDSSURSULDWHO\LPSOHPHQWHGWHDFKLQJSURFHVVVLQFHJRRGNQRZOHGJHRIDOSLQHVNLLQJZDVREVHUYHG,QVLPLODU VWXGLHV)UDQMNRHWDO  DOVRFDPHWRVLPLODUUHVXOWVZKHUHD UHPDUNDEO\KLJKKRPRJHQHLW\RIH[DPLQHUV WKURXJKWKHSDUDPHWHUVRIREMHFWLYLW\LVYLVLEOHZKLOH&LJURYVNLHWDO  DUJXHWKDWLWLVSRVVLEOHWRDVVXPHWKDW REWDLQHGIDFWRUUHSUHVHQWVVNLLQJNQRZOHGJHEHFDXVHLWEHVWH[SODLQVWKHFRPSOHWHYDULDQFHRIHOHPHQWVRIVNLLQJ technique. 7KHGDWDRIWKH6SHDUPDQ¶VUDQNFRUUHODWLRQRIYDULDEOHVRIODWHQWVSDFHRIVSHFLILFPRWRUNQRZOHGJHRIDOSLQH VNLLQJDQGWKHUHVXOWVRIWKHFULWHULRQYDULDEOHPRGLILHGJLDQWVODORPUDFHSRLQWWRVWDWLVWLFDOO\VLJQLILFDQW S   FRUUHODWLRQVRIDOOXVHGYDULDEOHV$QH[SODQDWLRQRIWKHVHUHVXOWVFDQEHIRXQGLQWKHIDFWWKDWWKHPRYHPHQW VWUXFWXUHVGXULQJWKHH[HFXWLRQRIHOHPHQWVRIVNLLQJDQGJLDQWVODORPVNLLQJDUHYHU\VLPLODU6LPLODUUHVHDUFKUHVXOWV RIFRUUHODWLRQEHWZHHQVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJDQGFULWHULRQYDULDEOHJLDQWVODORPSHUIRUPDQFH RI&URDWLDQQDWLRQDOVNLLQJGHPRQVWUDWRUV GHPRLQVWUXFWRUV FRQILUPHGE\)UDQMNRHWDO  ZKHUHWKHKLJKHVW values of correlation coefficients achieved in variables dynamic long radius turns U± and mogul skiing U± DWVWDWLVWLFDOO\VLJQLILFDQWOHYHORIS$OVRWKH\VD\WKDWSUHFLVHO\WKHVHHOHPHQWVGLYLGHSRSXODWLRQRIGHPR instructors to average and above average.

%DVHGRQWKHSUHVHQWHGYDOXHVRIWKHSDUDPHWHUVRIWKHUHJUHVVLRQDQDO\VLVVWHSZLVHPHWKRGthe size of PXOWLSOHFRUUHODWLRQDQGQXPEHURIYDOLGSDUWLDOUHJUHVVLRQFRHIILFLHQWVLWFDQEHFRQFOXGHGWKDWWKHUHDOL]DWLRQRI WKHFULWHULRQYDULDEOHPRGLILHGJLDQWVODORPUDFHGHSHQGVSULPDULO\RQWZRYDULDEOHVG\QDPLFORQJUDGLXVWXUQV DQGVNLLQJZLWKWKHFKDQJHVRIUK\WKPDQGWHPSR$VZHFDQVHHIURP7DEOHWZRPRGHOVFRPSRVHG0RGHO 1 and Model 2, showing that the variables dynamic long radius turns and skiing with the changes of rhythm and WHPSRWRJHWKHUKDYHJUHDWHVWSUHGLFWRUYDOLGLW\DWVWDWLVWLFDOO\VLJQLILFDQWOHYHO S DQGWKDWWKH\DUHFULWLFDOIRU VXFFHVVLQPRGLILHGJLDQWVODORPUDFHLQVWXGHQWV7KLVPHDQVWKDWWKHEHVWWLPHVFRUHVIRUVWXGHQWV¶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demo instructors allow us to look for a PRYHPHQWSDWWHUQRIJLDQWVODORPEHFDXVHG\QDPLFORQJUDGLXVWXUQVVKDSH WKHPRYHPHQWSDWWHUQRIJLDQWVODORP0RUHRYHUDFWLYDWLRQRIWKHLQQHUVNLZKLFKLVSHUIRUPHGGXULQJWKHH[HFXWLRQ RIDGYDQFHGHOHPHQWVRIVNLWHFKQLTXHZHFDQSUHYHQWRUUHGXFHWKHVNLGGLQJRIVNLV8OWLPDWHO\HYHQO\ORDGRI VNLVSURYLGHVEHWWHUVPRRWKHUDQGPRUHFRQVWDQWFRQWDFWRIVNLVZLWKWKHVQRZDQGPLQLPL]HVVNLGGLQJRIVNLVDQG a VNLHULVIDVWHU5HVXOWVFOHDUO\LQGLFDWHWKHQHHGWRLQFUHDVHWKHOHYHORIPDVWHULQJRIVSHFLILFPRWRUNQRZOHGJH RIDOSLQHVNLLQJLQRUGHUWRVNLIDVWHUDQGPRUHVXFFHVVIXOO\LQFRPSHWLWLYHJLDQWVODORP$FFRUGLQJWR.XQDHWDO  IRUVXFFHVVLQFRPSHWLWLYHJLDQWVODORPFUXFLDOLVWKHKLJKOHYHORIRYHUDOOVSHFLILFPRWRUNQRZOHGJHRI DOSLQHVNLLQJ)UDQMNRHWDO  VWDWHWKDWD FUXFLDOLPSDFWRQWKHUHVXOWLQJLDQWVODORPSHUIRUPDQFHDWGHPR LQVWUXFWRUVKDVWKHDUWRIPRJXOVNLLQJEHFDXVHWKLVHOHPHQWRQO\GLYLGHVWKLVSRSXODWLRQLQWRWZRJURXSV,QWKHLU UHVHDUFKDXWKRUV0XMDQRYLüDQG.UVPDQRYLü  VWDWHWKDWVWXGHQWVZLWKKLJKHUOHYHOVRIPRWRUDELOLWLHVVXFK DVEDODQFHDJLOLW\IOH[LELOLW\DQGUHSHWLWLYHVWUHQJWKKDYHPRUHVXFFHVVLQPDVWHULQJG\QDPLFVKRUWUDGLXVWXUQV 7KHUHIRUHLWLVREYLRXVWKDWWKHUHDUHGLIIHUHQWPHFKDQLVPVEDVHGRQZKLFKGHPRLQVWUXFWRUVDQGVWXGHQWVRSHUDWH :HFDQVD\WKDWWKHVWXGHQWVDWWKLVOHYHORIVNLLQJXQOLNHGHPRLQVWUXFWRUVKDYHVSHFLILFPRWRUNQRZOHGJHRIDOSLQH

(9)

VNLLQJSHUIRUPHGZLWKVRPHGHYLDWLRQVIURPWKHLGHDOPRYHPHQWSDWWHUQLQWKHSKDVHZKHUHPRWRUNQRZOHGJHLV strengthened.

%DVHGRQWKHDERYHZHFDQDVVXPHWKDWWKHH[DPLQHHVLQWKLVVWXG\ZHUHDWD higher level of basic motor abilities and thus at a KLJKHUOHYHORIVSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJWKDWKDYHD FUXFLDOLPSDFWRQWKH result in the modified giant slalom race. Also, if we know that the elements – dynamic long radius turns and skiing ZLWKWKHFKDQJHVRIUK\WKPDQGWHPSR±DUHHOHPHQWVRIDGYDQFHGVNLWHFKQLTXHDFFRUGLQJWRWKHFXUULFXOXPRI VNLLQJDQGEDVHGRQDQH[SHUWPRGHORIDGYDQFHGVNLVFKRRO .XQD LWFDQEHVDLGWKDWWKHVWXGHQWVKDYH mastered the technique of skiing at the advanced level.

Conclusion

2QWKHEDVLVRIRXUUHVXOWVLWFDQEHFRQFOXGHGWKDWWKHLPSDFWRQWKHUHVXOWLQWKHPRGLILHGJLDQWVODORPUDFH for students have a VSHFLILFPRWRUNQRZOHGJHRIDOSLQHVNLLQJLQIDFWWKHOHYHORIPDVWHULQJRIDGYDQFHGHOHPHQWVRI VNLWHFKQLTXHDFFRUGLQJWRWKHFXUULFXOXPRIVNLLQJDQGEDVHGRQDQH[SHUWPRGHORIDGYDQFHGVNLVFKRROZKLFKDW WKLVOHYHORINQRZOHGJHLVFUXFLDOLQJLDQWVODORPFRPSHWLWLRQ

Physical education teachers, ski instructors and coaches can use this information in order to create different SURJUDPVIRUGLIIHUHQWOHYHOVRIPDVWHULQJRIVNLLQJWHFKQLTXHVLQERWKDGYDQFHGVNLVFKRRODQGVRPHVWDJHVRI FRPSHWLWLYHVNLLQJZKLFKLVRIJUHDWLPSRUWDQFHIRUWKHUHVXOWLQJLDQWVODORPDQGVNLLQJLQJHQHUDO7KHUHVXOWVDUH also critical for the students in their realization and understanding of crucial factors for better skiing in general.

References

Adams J.A. A FORVHG±ORRSWKHRU\RIPRWRUOHDUQLQJ-PRWRUEHKDY±

&LJURYVNL90DWNRYLü%6SHFLILFILWQHVVSUHSDUDWLRQRIVNLHUV ,Q&URDWLDQ ,Q3URFHHGLQJV&RQGLWLRQLQJRIDWKOHWHV(GV'0LODQRYLü ,-XNLü)DFXOW\RI.LQHVLRORJ\8QLYHUVLW\RI=DJUHE=DJUHE±

&LJURYVNL9%RåLü,3UOHQGD1,QIOXHQFHRIPRWRUDELOLWLHVRQOHDUQLQJRIDOSLQHVNLWHFKQLTXH6SRUW/RJLD  ± 'L]GDU'4XDQWLWDWLYHPHWKRGV ,Q&URDWLDQ )DFXOW\RI.LQHVLRORJ\8QLYHUVLW\RI=DJUHE

(OOLRW-0&RQQROO\.-+LHUDUFKLFDOVWUXFWXUHLQVNLOOGHYHORSPHQW,Q7KHJURZWKRIFRPSHWHQFH(GV.-&RQQROO\-%UXQHU Academic Press. New York 1974: 135–168.

)UDQMNR,0DOHã%.HFHULQ,7KHOHYHORIWKHVSHFLILFPRWRUVNLOOVGLUHFWO\GHWHUPLQHWKHJLDQWVODORPSHUIRUPDQFHLQVNLLQJGHPRQVWUDWRUV ,Q&URDWLDQ 3URFHHGLQJVRIWKHVW,QWHUQDWLRQDO&RQIHUHQFH³&RQWHPSRUDU\.LQHVLRORJ\´.XSUHV± +RUJD63V\FKRORJ\RIVSRUW ,Q&URDWLDQ )DFXOW\RISK\VLFDOHGXFDWLRQ=DJUHE -XUNRYLü1-XUNRYLü'6NLLQJ7KH7HFKQLTXH0HWKRGRORJ\DQG7UDLQLQJ*UDSKLVGRR=DJUHE .RYDþ0$VVHVVPHQWRI*\PQDVWLF6NLOOVDW3K\VLFDO(GXFDWLRQ±7KH&DVHRI%DFNZDUG5ROO6FLHQFHRI*\PQDVWLFV-RXUQDO 4 (3): 25–35. .ULVWLþHYLü7äLYþLü.&LJURYVNL96LPRYLü65DþNL*&RUUHODWLRQRIPRWRUDFUREDWLFVNLOOVZLWKVXFFHVVLQVODORPDQGJLDQWVODORP LQ\RXQJDOSLQHVNLHUV&URDWLDQ6SRUWV0HGLFLQH-RXUQDO± .XQD')UDQMNR,0DOHã%,QIOXHQFHRIPRWRUNQRZOHGJHDQGDELOLW\RQWKHUHVXOWLQWKHJLDQWVODORPRIVNLLQJGHPRQVWUDWRUVZLWK different skiing quality (In Croatian). Proceedings of the 18th Summer school of kinesiology of Croatia, Croatian Kinesiology $VVRFLDWLRQ=DJUHE±

.XQD')UDQMNR,/R]DQþLü,:KDWSULPDULO\GHWHUPLQHVVLWXDWLRQDOHIILFLHQF\RIVNLGHPRQVWUDWRUV±VSHHGDJLOLW\DQGH[SORVLYH VWUHQJWKRUVNLVSHFLILFNQRZOHGJH" ,Q&URDWLDQ WK$QQXDO,QWHUQDWLRQDO&RQIHUHQFH&RQGLWLRQ7UDLQLQJRI$WKOHWHV=DJUHE ±

.XQD ' )RUPLQJ RI DQ H[SHUW PRGHO RI WKH HOHPHQWV RI EDVLF DQG DGYDQFHG VNL VFKRRO ,Q &URDWLDQ  WK ,QWHUQDWLRQDO 6FLHQWLILF &RQIHUHQFH³&RQWHPSRUDU\.LQHVLRORJ\´)DFXOW\RI.LQHVLRORJ\8QLYHUVLW\RI6SOLW6SOLW±

(10)

/HãQLN%äYDQ0$ WXUQWRPRYHRQ±$OSLQHVNLLQJ±6ORYHQLDQZD\7KHRU\DQGPHWKRGRORJ\RIDOSLQHVNLLQJ6=6±=GUXåHQMH XþLWHOMHYLQWUHQHUMHYVPXþDQMD/MXEOMDQD 0DMHULþ0.RYDþ0'HåPDQ%6WUHO-$QDO\VLVRIWKUHHGLIIHUHQWZD\VRIDVVHVVLQJPRWRUDELOLWLHVZLWKWKHWHVWLQJDVVLJQPHQWRIORQJ MXPSZLWKDSSURDFK,Q3URFHHGLQJVERRN(GV'0LORYDQRYLü)3URWWK,QWHUQDWLRQDO6FLHQWLILF&RQIHUHQFHRQ.LQHVLRORJ\ )DFXOW\RI.LQHVLRORJ\8QLYHUVLW\RI=DJUHE=DJUHE± 0HMRYãHN0,QWURGXFWLRQWRWKHPHWKRGVRIVFLHQWLILFUHVHDUFK ,Q&URDWLDQ )DFXOW\RI(GXFDWLRQDQG5HKDELOLWDWLRQ6FLHQFHV8QLYHUVLW\ RI=DJUHE1DNODGD6ODS=DJUHE 0XMDQRYLü(.UVPDQRYLü53UHGLFWLYHYDOXHRIPRWRUDELOLWLHVRQWKHUHVXOWLQFULWHULDYDULDEOHVNLVKRUWWXUQ6SRUW±VFLHQWLILFDQG SUDFWLFDODVSHFWVLQWHUQDWLRQDOVFLHQWLILFMRXUQDORINLQHVLRORJ\   ± 0XMDQRYLü(1RåLQRYLü0XMDQRYLü$âDERYLü$$OSLQHVNLLQJPHWKRGRORJ\WHFKQLTXHVDQGWDFWLFV ,Q%RVQLDQ 2IIVHW7X]OD Schmidt R.A. The schema as a VROXWLRQWRVRPHSHUVLVWHQWSUREOHPVLQPRWRUOHDUQLQJWKHRU\,Q*(6WHOPDFK0RWRU&RQWURO

Academic Press. New York 1976: 41–65.

6FKPLGW5$:ULVEHUJ&$0RWRUOHDUQLQJDQGSHUIRUPDQFH QGHG +XPDQ.LQHWLFV3XEOLVKHUV&KDPSDLJQ,/

Cite this article as:

0XMDQRYLü($WLNRYLü$1RåLQRYLü0XMDQRYLü$1XUNRYLü13UHGLFWLQJVWXGHQWVSHUIRUPDQFHLQJLDQWVODORP &HQWU(XU-6SRUW6FL0HG   45–54.

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