ISSN (ONLINE): , ISSN (PRINT):

Transcription

1 Volum-6, Issu-5, Sptmbr-Octobr 206 Intrnational Journal of Enginring and Managmnt Rsarch Pag Numbr: Application of Structural Equation Modling Gnralizd Structurd Componnt Analysis (SEM - GESCA) (Cas Study: Multipl s SMAN Rumpin-Bogor) Muh Idham Kurniawan, Erfiani 2, Aji Hamim Wigna 3 Applid Statistics Bogor Agricultural Univrsity, INDONESIA 2,3 Statistics Bogor Agricultural Univrsity, INDONESIA ABSTRACT Structural Equation Modling (SEM) is a mthod that can b usd to analyz th data that can not b masurd dirctly. On of SEM mthods is Gnralizd Structurd Componnt Analysis (GSCA). Th data usd in th rsarch is primary data takn from takn from SMAN Rumpin Bogor. Th purpos of this papr is to xamin th influnc of parnt's parnting and larning mthod on larning motivation and multipl intlligncs which ar th most influntial on th studnts. Multipl intlligncs by Gardnr in 983 dividd into ight intlligncs i linguistic, log-mathmatical intllignc, spatial intllignc, kinsthtic intllignc, musical intllignc, intrprsonal intllignc, intraprsonal intllignc and naturalist intllignc. Th rsult of analysis showd that th parnt's parnting gav significant influncs to logmathmatical intllignc, kinsthtic intllignc, musical intllignc, intrprsonal intllignc, intraprsonal intllignc, naturalistic intllignc and larning motivation whras larning mthod only gav significant influnc to kinsthtic intllignc and musical intllignc. Kywords--- Multipl s, SEM-GSCA I. INTRODUCTION School is a facility to sarch and study. A studnt can b said to b intllignt whn th studnt can mastr th mathmatical scincs or vrbal. According to Gardnr (983) in his book Frams of Mind Gardnr multipl intlligncs itslf split into ight parts: linguistic, musical intllignc, intllignc logical - mathmatical, visual intllignc, kinsthtic intllignc, intrprsonal intllignc, intraprsonal intllignc, natural intllignc. Vrbal-Linguistic is th intllignc associatd with an intrst in writing tchniqus and storytlling (Nicholsont al. 998).Musical intllignc is an intllignc intrconnctd, to dpn thir intrsts or hobbis rlatd to music (McKnzi 2005).Visual-spatial intllignc, according Nicholsont al. (998) Studnts who hav visual-spatial intllignc ar studnts who hav a strong visual mmory in activitis of dscribing, xprssing, xplaining th picturs, prform, and manufacturing concpts. Thy ar asir to undrstand scinc as thy can visualiz that thy larnd into spatially. Kinsthtic intllignc is th intllignc rfrs to th ability of a individual to us th body to xprss thmslvs, in gnral, popl who hav this capability can handl th physical objcts skillfully. Somon who has this intllignc dos not only affct th halth and fitnss, but it is also important to rais th powr of th mind. Studnts conditions in th classroom is to siting for hours and askd to paying attntion to vrbal input. Human ndsof moving compltly ignoring,thrfor, somtims th potntial valu to crat highr nrgy lvls and maintain th attntion is gratly rducd (Morgan t al 2004). Th intllignc of mathmatical logical rfrs to th snsitivity of individuals to distinguish logical or numrical pattrns and th ability to handl a complx rasoning. Ths popl lik to xprimnt, solv puzzls, and ask cosmic.qustionsstrngth in mathmatical intllignc oftn implis a big scintific capabilitis (Lunnburgt al 204).Intrprsonal intllignc is th intllignc in rlation to undrgo anothr prson. According to Fltham (2006) in his book of Multipl s in practic that popl who hav intrprsonal intllignc hav svral capabilitis including ncouraging collaborativ working groups and discussions, motional intllignc modl, show an intrst in th livs of studnts outsid th school and Shar khidupand and outsid school with larnrs.intraprsonal intllignc is intllignc in control of his own prsonality from a slfish sns. Intraprsonal intllignc is intllignc that rflcts th ways to control thir own flings and moods, pursu prsonal intrsts and st th agnda of individuals, larning through obsrvation and listning, using 226 Copyright 206. Vandana Publications. All Rights Rsrvd.

2 mtacognitiv skills (Horr 2000). Natural intllignc is th intllignc of th popl who hav this intllignc in gnral to undrstand somthing by individual sort, first organiz, catgoriz, compar, diffrntiat, classify, align, organiz, sort, group, map th thy larnd (McKnzi 2005). SMAN Rumpin is on school locatd in th wstrn rgion of Bogor is locatd at Jalan Abdullah Prada Rumpin villag with Agrad of accrditation. SMA Ngri Rumpin in th acadmic yar 205/ studnts. XII grad studnts dividd into 4 (four classs) with th numbr of 4 studnts, class XI studnt is dividd into 5 (fiv classs) with th numbr of 83 studnts, and th studnts of class X, thr ar 6 (six classs) with th numbr of 25 studnts. SMAN Rumpin is th only public school in th ara Rumpin but studnt achivmnt in this schoolis not much diffrnt from privat of schools in th ara of Rumpin. To s th dominant intllignc on th multipl intlligncs of studnts of SMAN Rumpin basd on thory Gardnrthory thn th data obtaind during th study can not b masurd dirctly. Th data can not b dirctly masurd can not b usd with th usual mthods lik datawhich can bmasurd dirctly, and thrfor a crtain mthod is rquird. Som rsarchrs hav prviously trid to us multipl intlligncs to s what factors ar most influntial for ach school that will b invstigatd. Prviousrsarchrs from turky Yalmanci t al (203) from th faculty of ducation to apply th mthod of multipl intlligncs. Th rsarch lookd at vry aspct of th multipl intlligncs of studnts of SMAN Rumpin by modling intllignc which is most significant. StructuralEquational Modling (SEM) is a mthod that can handl data that can not b masurd dirctly. SEM has svral mthods such as Gnraliz Structurd Componnts Analysis (GSCA). GSCA constructd of thr sub-modls: th structural modl, th masurmnt modl, and th wightingmodl. Wighting modls that xist in GSCA wighting is functioning to combin modls and structural modls that xist in GSCA own. Th purpos of this study was to modl th rlationship btwn larning motivation, parnting parnts, mthods of larning and multipl intlligncs Grad 3 SCIENCE and SOCIAL SMAN Rumpin by applying th modl SEM-GSCA II. METHODOLOGY DATA Th data usd in this study ar primary data through survys at SMAN Rumpin. for 4 wks starting from March 8 to 2 April 206. Th survy was conductd on th studnts of class XII SMAN Rumpin th acadmic yar 205/206 for all third grad studnts of SMAN Rumpin. To idntify th multipl intlligncs of studnts thn qustionnairs is usd by rogr indicator of multipl intlligncs which has bn adaptd intobahasa.th variabls usd in this study can b sn on Tabl blow: Tabl Factors usd as th basis for analysis Data Variabl Indicators x. Linguisticintllignc (LI) 4 Indicators x.2 log-mathmatical (LmI) 4 Indicators x.3 Spatial (SI) 4 Indicators x.4 Kinsthtic (KI) 4 Indicators x.5 Musical (MI) 4 Indicators x.6 intrprsonal (II) 4 Indicators x.7 intraprsonal (IaI) 4Indicators x.8 Naturalist (NI) 4 Indicators x.9 Pattrn fostr parnt (PfP) 9 Indicators x.0 larning mthod (LM) 2 Indicators x. Motivation to larn (ML) 5 Indicators Rsarch Mthods In this study, thr ar svral stps in th procss of analyzing th data. Ths stps ar as follows:. Exploration of Data 2. Analysis of structural quation modl with SEM-GSCA at th analysis stag: a. Gtting th concpt and thory-basd modl and crat th path diagram b. Convrting path diagram into quation c. Prdicting th paramtrs of wight of stimators, stimators loading factor, stimators bootstrap path cofficints and th stimatd standard rror d. Dtrmining th cofficint of paramtr and th valu of t by using bootstrap. Tsting th significanc of th paramtrs in th masurmnt modl Z i = C ηη ii + εε ii Not : Z b an indicator masuring th vctor of j C 'is a matrix of vctor masuring loading p j η is a of latntvctor variabls p ε j a rsidual vctor of indicators masuring J f. Tsting th significanc of structural paramtrs in th modl ηη yy = ββ ηη xx +ξξ ii 227 Copyright 206. Vandana Publications. All Rights Rsrvd.

3 Not : β 'is matrix T T for th path cofficint linking latnt variabls ξξ ii an rror vctor on ηi masuring T I ηη xx is a latnt variabl that affcts th ηη yy, ηη xx Vktor masuring T ηη yy is a latnt variabl that is affctd by ηη yy, ηη xx Vctor masuring T g. Dtrmining goodnss ovral fit modl III. RESULTS AND DISCUSSION Th biplot analysis(gabril 97) is on masur that can b usd to show th distanc btwn units and groups as wll as variations in th apparanc and corrlation of th variabls usd. Biplot also b usd to crat an imag that many dimnsions and usd as two-dimnsional. Information that can b obtaind from th biplot analysisis th proximity btwn objcts, making it asir to group objcts basd on similar charactristics. Biplot analysis procss usd to dtrmin th varianc of multipl intlligncs to all studnts in third grad (3) of SMAN Rumpin. Th rsults of th biplot analysiscan b sn in Figurs and 2 blow: BiplotAnalysis 2 KLM KS 0 IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA IPA Kmu IPA IPA IPA IPA KL KIa KK KNx - KI Dimnsion (47.7%) Figur. th biplot analysis of scinc class studnts of SMAN Rumpin Basd on Figur 2 not th distribution of th varianc of scinc class is random and som studnts of scinc class is away from variabl usd, making it difficult wks to s th varianc of th variabl whos valu is almost th objct of rsarch (scinc class studnt). 2 KL KLM IPS IPS 0 IPS IPS IPS IPS IPS IPS KIa KS KK IPS KI IPS KN IPS Kmu Dimnsion (37.7%) Figur 2. th biplot analysis of social class grad studnts of SMAN Rumpin 228 Copyright 206. Vandana Publications. All Rights Rsrvd.

4 Th varianc among studnts in social class studntsman Rumpin th variabl usd is small is shown in Figur 2. Rsults Figurs and 2 also show that th pattrn of varianc of studnts in grad scinc and social studis on th variabls usd is rlativly th sam. To s th varianc of studnts' scinc and social studis can furthr b usd by tst Analysis of Varianc (ANOVA). Diffrnt tst Analysis of Varianc (Anova) Basd on data from th survy rsults rvald that thr ar diffrnt populations, population of scinc class and social class. Tsts ANOVA was usd to s if thr ar diffrncs in varianc btwn 2 classs scinc and social class. Th hypothsis is as follows: H 0 : ββ ii = ββ jj H = ββ ii ββ jj Dscription : ββ ii = Scinc Class ββ jj = Class social According to th tabl blow,varianc is not significant so that th modl class for scinc and socialclasss should b usd as a modl of th variabls usd whil it is known that P-Valu <0.05%, so that th ffct of th variabl is dclard is no diffrnc btwn variabls. Tabl. Th influnc of diffrnt tst Effct P-Valu Class 0,278 Variabl 0,00 Exploration of Data Basd on th survy rsults rvald that th numbr of studnts of scinc class is mor than socialclass. Basd on Figur 3, numbr of studnts in grad scinc 63 popl than studnts social class is only Many Studnt ipa Figur 3. Comparison of a lot numbr of studnts in grad scinc and social studis class SMAN Rumpin. Th man ofvarianc of th multipl intlligncs of studnts of SMAN Rumpin to grad scinc and social studis class th multipl intlligncs ips of studnts of SMAN Rumpin thoroughly dominatd by naturalist at 3.34 whil th smallst was 2.94 intraprsonal intllignc. SMAN RUMPIN KL KLM KS KK Kmu KI KIa KN Figur 2. Avrag th multipl intlligncs of studnts of SMAN Rumpin Masurmnt Modl Rliability is a mthod usd to masur th consistncy of th rsarch instrumnts. Rliability in th slction of th masurmnt modl is dtrmind basd on th valu of th squar root of th avrag varianc valu (AVE), which is th valu of th loading factor. Th rliability valu obtaind on th basis of th output rsults indicat th softwar usd Cronbach alpha valus > 0.7 of ach indicator that th ovrall valu of th loading factor for multipl intlligncs third grad studnts of SMAN Rumpin i log-mathmatical intllignc 0.779, 0.78 spatial intllignc, musical intllignc, intrprsonal intllignc 0.86, 0.70 intraprsonal intllignc, naturalistic intllignc and parnting parnts. Gnral masurmnt modl third-grad studnts of SMAN Rumpin dtrmind basd on th squar root AVE latnt variabl valu if th valu of th root AVE> latnt corrlation btwn th variabls it can b said that th rsulting modl quit nic. Th valu of th squar root of linguistic intllignc 0.693, intllignc log-mathmatical.780, spatial 0.739, kinsthtic intllignc 0.677, musical intllignc 0.82, intrprsonal 0.804, intraprsonal intllignc 0.736, naturalist 0.777, parnting parnts 0.672, larning mthods 0.89 and motivation larning Valu latnt corrlation matrix btwn th variabls can b sn in tabl 2 blow: Linguistic intllignc Linguistic intllign c Logmathmat ical Intllign c (0.4) Tabl 2. Matrix of corrlations btwn variabls Corrlations Of Latnt Variabls (S) Spatial Intllign c (0.06) Kinstht ic Intllign c (0.07) Musical Intllign cal (0.02) Intrprs onal Intllign c (0.094) Intraprs onal Intllign c (0.092) Naturali st Intllig nc Patt rn fost r par nt 229 Copyright 206. Vandana Publications. All Rights Rsrvd. 0.8 (0.02) Larni ng mtho d Motivat ion to larn (0.) 5)

5 (0.0 5) Logmathmati cal (0.00) (0.074) 0.66 (0.099) ) ) (0.00) ) (0.32) (0.067) Spatial ) (0.073) 0.24 (0.6) (0.079) ) (0.0 ) (0.8) 4) Kinsthti c ) (0.00) (0.0) (0.075) ) (0.30) 7) Musical al ) (0.095) (0.0) ) 0.74 (0.4) 0.56 (0.094) Intrprso nal ) (0.074) (0.0 0) (0.07) (0.07) Intraprso nal ) ) (0.2) (0.064) Naturalist (0.0 5) (0.7) (0.07) Pattrn fostr parnt Larning mthod Motivation to larn (0.02) 0) (0.2) Structural Modl Path analysis of SMAN Rumpin known that parnting parnts can affct th log-mathmatical intllignc, kinsthtic intllignc, musical intllignc, intrprsonal intllignc, intraprsonal intllignc, naturalistic intllignc and motivation to larn. Parnting fostr parnt dos not affct linguistic intllignc, spatial intllignc, mthods of larning whil larning mthod only affcts intllignc kisttik and musical intllignc but dos not affct linguistic, intllignc log-mathmatical, spatial, intrprsonal, intraprsonal intllignc, naturalistic intllignc and motivation larn. Path analysis on th studnts of SMAN Rumpin can b sn in Tabl 3 blow 230 Copyright 206. Vandana Publications. All Rights Rsrvd.

6 Tabl 3. path analysis SMAN Rumpin Hr is a structural modl for th intllignc of SMAN Rumpin: Tabl 4. Matrix of path analysis SMAN Rumpin LLLL ,008 LLLLLL 0,294 0,97 ξξ ξξ 2 SSSS 0,98 0,09 ξξ 3 KKKK 0,30 0,256 ξξ 4 MMMMMM IIIIII = 0,333 0,23 PPPP 0,478 0,045 LLLL + ξξ 5 ξξ 6 IIIIII 0,460 0,027 ξξ NNNN 7 LLLL 0,446 0,084 ξξ 8 MMMM 0,7 0 ξξ 9 0,378 0,004 ξξ 0 In Tabl 4 shows that linguistic intllignc was positivly rlatd to parnting parnts whil th mthod of larning has a ngativ corrlation, intllignc logmathmatical, spatial, spatial, kinsthtic intllignc, musical intllignc, intrprsonal intllignc, intraprsonal intllignc, naturalist intllignc and, larning motivation was positivly rlatd to parnts' parnting and larning mthods ngativly affct parnting parnts. Intrprsonal intllignc is a latnt variabl that has th gratst R 2 whn compard with othr latnt variabls. R 2 intrprsonal intllignc amountd to 0.226, which mans that th varianc of intrprsonal intllignc that is abl to b xplaind by th parnts' parnting and larning mthods applid by th school was 22.6% and th rst can b xplaind by othr latnt variabls that ar not includd in th modl. Basd on Figur 4 also known that from lvn latnt variabls ar usd known that larning is a mthod that has a variabl R 2 is th smallst compard with othr variabl that is qual to Evaluation of Bst Modl Evaluation modls can bst b sn in Tabl 5 basd on th FIT which is a masur of th magnitud of th varianc of all th variabls that can b xplaind by th modl, AFIT, th valu of th squar root man rror of standardizd (SRMS) is gtting closr to 0, th bttr th modl usd, and GFI is th opposit of SRMS is closr to, th bttr th modl usd. Thorough valuation modls known that th magnitud of th varianc of th data to xplain th modl to th studnts of SMAN Rumpin can b sn from th valu of FIT is 0.46, th squar root of th rror standardizd (SRMS) approachs a valu of 0 is 0.32, th valu of FIT which has bn corrctd by (Afit) and th valu of GFI approachs a valu of is 0,990. Tabl 5. Evaluation of fitnss modl SMAN Rumpin Th siz of th fitnss Valu modl FIT 0.46 AFIT GFI SRMR 0.32 IV. CONCLUSION dominant by studnts of SMAN Rumpin is a naturalist intllignc. Popl who hav a naturalistic intllignc is th kind of prson who oftn diffrnting, sorting, organizing, mapping what h larnd. Naturalist popl typ mor asily undrstand what is larnd by obsrving in advanc what will b studid for xampl if in math on th first gomtry 23 Copyright 206. Vandana Publications. All Rights Rsrvd.

7 givn typ of gomtry that will b studid, and thn ask what thy hav larnd from th gomtry. Th larning mthod usd in this rsarch is th mthod usd by th studnts of SMAN Rumpin in taching and larning at all grad scinc and social studis, thrfor, rsarchrs suggst furthr rsarch should apply th larning mthod is basd on th way th intllignc of th typ of compound to b masurd to obtain bttr rsults REFERENCES [] Fltham mik Multipl intlligncy in practic. Ntwor continuous. [2] Gabril, K.R. 97. Th biplot graphic display of matrics with application to princscincl componnt analysis. Th Hbrw Univrsity, Jrusalm. [Journal] Biomtrics (97), 58, 3, p. 453 [3] Bcoming Thomas R. Horr amultipl intlligncy school. Association for Suprvision and Curriculum Dvlopmnt Alxandria, Virginia. USA. [4] Howard Gardnr Frams of Mind. Nw york. [5] Hwang H, Takan Y Gnralizd Structurd Componnt Analysis. Psychomtrica.Vol.69 : pp [journal] [6] Hwang H, Takan Y A Gnralizd Structurd Componnt Analysis Componnt-basd Modling Approach to Structural Equational. CRC Prss. Taylor & Francis Group. [7] Lunnburg Lunnburg Mlody Frd C. & R Applying Multipl s in th Classroom: A Frsh Look at Taching Writing. Sam Houston Stat Univrsity [8] Mcknzi waltr Multipl intllignc and instruktional. Tchnology scond dition. Intrnational socity for tchnologi in ducation ugn. Orgon. Washington DC. [9] Morgan Jan Arnold & M Carmn Fonsca Multipl Thory and Forign Languag Larning: A Brain-basd Prspctiv. Dpartamnto d Filología Inglsa, Univrsidad d Svilla, Svilla, Spain [0] Christian Nicholson - Nlson Dvloping Studnts 'Multipl s Dvloping Studnts' Multipl s. Nw York. [] Yalmanci S G & Candidat Ali İbrahim Can Gozum Th Effcts Of Multipl Thory Taching Basd On Studnts'Achivmnt And Rtntion Of Knowldg (Exampl Of Th Enzyms Subjct). Kafkas Univrsity, Faculty Of Education Dpartmnt Of Primary Prschool EducationKars, Turky. [Journal] 232 Copyright 206. Vandana Publications. All Rights Rsrvd.