多变量分析作业

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1、(4/18)多變量分析作業9.10Usingtheunrotatedestimatedfactorloadings,obtainthemaximumlikelihoodestimatesofthefollowing.(a)Thespecificvariances.AA・・・R=LzL；+Wz.5051.569.4221R—.602.467.926.621.482.877•603.450.8781.8741.894.937.602.467.200.154•926J43.6020L・200.467.154.926.143.874.894.476.3270.5976000.7582A•

2、—00••xz—0000_00(b)Thecommunalities.0000000.122100000000.0095000000000.0938_.4O24.3119.3119.2418.5861.4545.6020.4670.6213.4815.6036.46791.874.8940.476.327.5861.6020.4545.4670.8779.9260.92601.8774.8740.8746.8940.6213.6036.4815.4679.8774.8746.8740..8940.9905.9370.9370.9062R=0.402,h.=0.242,h.=0.8

3、7&hA=1,h=0.990,4=0.906(c)Theproportionofvarianceexplainedbyeachfacto匸Theproportionofvarianceexplainedbyfirstfactoris:(0.602)2+(0.467)2+(0.926)2+⑴？+(0.874)2+(0.894)2n=O.ooov6Theproportionofvarianceexplainedbysecondfactoris:(0.200)2+(0.154)2+(0.143)2+(0)2+(0.476)2+(0.327)2—=0.0o9o0.1931-.0171」9

4、310-.0325R-LzLfz-^z=00-.0003.0005-.0006-.0179(d)TheresidualmatrixR-LZL'Z-^z.-.01710-.0003-.0006-.03250.0005-.017900-.0004.00340000-.004000.00340009.11RefertoExercise9.10.Computerthevalueofthevarimaxcriterionusingbothunrotatedandrotatedestimatedfactorloadings.Commentontheresults・Unrotated:1mF1

5、F心范[工2冷(口2円r；=1z=lrf=l1ffz0.602x4_z0.467".(0.926“「1“.,0.874、「/0.894⑷6V0.402V(X242V0.878VlV0^990VO906-1[(-^2L)2+(+±1)2+(芈丝尸+(十)2+(芈生尸+(芈空尸]26J0.402J0.242Jo.878VlJ0.990J0.906+[(斗+(冲+(斗+(酬+芈r+(斗]J0.402VO.242J0.878VlV0.990V0.90610.22,/0.1542,/0.143x2,/0x2,/0.4762,/0.327、2]2、一邓而評+(VKT)+(肩誘)+(7T)“丽

6、評(而評1}=0.010857507rotated:1mF1F宀范[工字-耳审于]rj=i=lrf=l1fI/0.484、4z0.375x4/0.603x4z0.519x4/0.861x4/0.744⑷=-{[(i)+(/)+(/)+(^^)+(/)+(i)]6V0.4027(X242V0.878VlV(X990VO9061“0.484*丄(0.375丄(0.603*一0.519卩丄(0.861宀丄(0.7446J0.402J0.242Vo.878VlJ0.990J0.906rz0.411z/0.319、4/0.717、4/0.855、4/0.499x4/0.594⑷+[(、)

7、+(>)+({)+()+(()]V0402V02427(1878717(19907(19061(_041£)2*(_031^)2*(_0£^)2+(2^2)2*(_0499^)2十(_^1)2]2670.40270.242Jo.878VlJ0.99070.906=0.046935727variableEstimatedfactorloadingsVarimaxroratedestimatedfactorloadingscommunalities1.skulllength0.602