多变量分析考试试卷

1多变量分析考題2014-1-16100位學生對6個問項61~xx評量，第1~5題皆以此資料檔做分析MeansandStandardDeviations(lattin-exer-5-4)variableMeanStd.Dev.x1x2x3x4x5x60.1842861.3874590.2023911.3922930.1420901.5282000.0537021.540235-0.0641501.5398050.1145201.491904Correlations(lattin-exer-5-4)variablex1x2x3x4x5x6x1x2x3x4x5x61.0000.8490.4620.4160.4090.4550.8491.0000.4420.4390.3600.3340.4620.4421.0000.9090.4990.4780.4160.4390.9091.0000.5010.4590.4090.3600.4990.5011.0000.8620.4550.3340.4780.4590.8621.000FactorLoadings(Unrotated)(lattin-exer-5-4)Extraction:Principalcomponents(Markedloadingsare.700000)VariableFactor1Factor2Factor3x1x2x3x4x5x6Expl.VarPrp.Totl-0.760073-0.5537580.206876-0.723208-0.6275550.113820-0.8221800.127733-0.509738-0.8079660.147651-0.530870-0.7796400.4292500.367067-0.7693940.4104190.4188833.6293361.0912890.9076100.6048890.1818820.151268FactorLoadings(Varimaxnormalized)(lattin-exer-5-4)Extraction:Principalcomponents(Markedloadingsare.700000)VariableFactor1Factor2Factor3x1x2x3x4x5x6Expl.VarPrp.Totl0.2440000.9118290.1902370.1262690.9287330.2265430.2500250.2346220.9135470.2408330.2059070.9252220.9095110.1741840.2632130.9231160.1956270.2132171.8753451.8600321.8928580.3125570.3100050.315476FactorLoadings(Varimaxnormalized)(lattin-exer-5-4)Extraction:Principalcomponents(Markedloadingsare.700000)VariableFactor1Factor2x1x2x3x4x5x6Expl.VarPrp.Totl0.2692300.9010410.1951910.9374200.7315070.3964750.7322660.3720180.8803300.1308170.8607700.1395922.6978052.0228200.4496340.3371372Chi-SquareTestswithSuccessiveRootsRemoved(lattin-exer-5-4)RootRemovedCanoniclRCanoniclR-sqr.Chi-sqr.dfpLambdaPrime010.5344980.28568942.3236380.0000010.6419920.3181880.10124410.1939730.0169990.898756FactorStructure,leftset(lattin-exer-5-4)RootVariableRoot1Root2x1x2-0.9989220.046420-0.8238960.566742VarianceExtracted(Proportions),leftset(lattin-exer-5-4)RootFactorVarianceextractdReddncy.Root1Root20.8383250.2395000.1616750.016369FactorStructure,rightset(lattin-exer-5-4)RootVariableRoot1Root2x3x4x5x6-0.8550290.362155-0.7632410.571675-0.7614820.138680-0.858431-0.244362VarianceExtracted(Proportions),rightset(lattin-exer-5-4)RootVariableVarianceextractdReddncy.Root1Root20.6575930.1878670.1342280.013590CanonicalWeights,leftset(lattin-exer-5-4)VariableRoot1Root2x1x2-1.07361-1.560750.087941.89231CanonicalWeights,rightset(lattin-exer-5-4)VariableRoot1Root2x3x4x5x6-0.715801-0.661710.1434141.303150.1002841.04824-0.668422-1.42941Summaryforscale:Mean=.632839Std.Dv.=6.91113ValidN:100(lattin-exer-5-4)Cronbachalpha:.869171Standardizedalpha:.868928Averageinter-itemcorr.:.570634variableMeanifdeletedVar.ifdeletedStDv.ifdeletedItm-TotlCorrel.Alphaifdeletedx1x2x3x4x5x60.44855334.840565.9025890.6467270.8506610.43044835.489155.9572770.5984640.8584280.49075032.454805.6969110.7226240.8369530.57913732.638025.7129700.7024110.8406720.69698933.079595.7514860.6729200.8460860.51831933.678725.8033370.6618910.847935AnalysisofVariance(lattin-exer-5-4)EffectSumsofSquaresdfMeanSquareFpBetweenSubjectsWithinSubjectsBetweenItemsResidualTotal788.102997.960628520.3805001.0407594.84850.9695900.9309750.460441515.5324951.0414781308.48259931.主成份分析(利用R做主成份分析)(1)對此組資料如要解釋變異數比例超過80%，需選取多少個主成份？為什麼？(2)寫出第一主成份1x的權重；(3)ryx(,)?11其中1y為第一主成份；(4)第一主成份1y共解釋61~xx多少變異數比例？(5)第一、二主成份1y共解釋61~xx多少變異數比例？(6)以)(31321XXX解釋61~xx多少變異？(12%)2.因素分析：以主成份法選取3個因素，再做VARIMAXnormalized旋轉(1)每個因素各有多少個變數(問項)？(2)3個因素共解釋61~xx變異多少百分比？(3)因素一與x1相關係數是多少？(4)因素二的變異數=?(5)x1共通性=？(6)因素一與因素二相關係數是多少？(12%)3典型相關分析將8個變數分成x組=)~(41xx，y組=),(65xx做典型相關分析，(1)對此組資料最多可取多少組典型變量？(2)您會選取多少組典型變量？為什麼？(3)典型相關),(*1*1yxr=?(4)),(*11yxr=？(5)y組第一典型變量y1解釋y組的變異數比例為多少？(6)2|xyR？(12%)4.信度分析(1)求61~xx6個問項未標準化的Cronbach值是多少？(2)若將第3題(3x)去除，試問剩下5題之未標準化Cronbach值=？(3)檢定受測者間(即學生間)的平均數是否有顯著差異？F值=？(4)求31~xx3個問項標準化的Cronbach值是多少？(12%)5.SEM路徑圖如下41.79高中數理X1.11d11.001X2.45d2.911高中語文X3.11d3X4.31d41.001.961大學數理x5.31e1x6.32e21.001.9611.32z211.67z11.40Unstandardizedestimates卡方值=13.797P值=.032GFI=.955AGFI=.842RMSEA=.115.54.29高中數理.94X1d1.97.77X2d2.88.24高中語文.95X3d3.87X4d4.98.93.35大學數理.87x5e1.86x6e2.93.93z2z1.41Standardizedestimates卡方值=13.797P值=.032GFI=.955AGFI=.842RMSEA=.115.49.27RegressionWeights:EstimateS.E.C.R.PLabel高中語文---高中數理.54.114.81***大學數理---高中語文.40.103.85***大學數理---高中數理.29.112.49.01X1---高中數理1.00X2---高中數理.91.108.80***X3---高中語文1.00X4---高中語文.96.0713.03***x5---大學數理1.00x6---大學數理.96.0910.26***對此模式的適合度做評估；(1)對此模式的適合度做評估；(2)此模式的自由度=？(3)此模式是否有不合理的參數估計？(4)大學數理的結構信度C.R.=？(5)大學數理萃取變異數V.E.=？(6)大學數理的2R(7)高中語文的2R(8)高中數理到大學數理直接效用(9)高中數理到大學數理間接效用與總效用5(10)獨立模式的卡方值=？(11)獨立模式的自由度=？(12)檢定高中數理到大學數理路徑係數是否為0的t值=？(25%)第6、7題皆以此資料檔做分析x1x2x3ACASE_NOCLUSTERDISTANCEC_156.12673134.26C_266.23613232.78C_367.44573334.54C_453.84483411.86C_5464503516.4C_670.65403619.02C_758.45453711.52C_854.95463811.12C_958.36503912.09C_1046.263631023.14C_1167.174931116.27C_125175131214.14C_1344.1270213311.07C_1448.443021423.39C_1543.743021521.27C_165054221614.75C_1745.454021724.94C_1839.852621823.8C_1947.763521923.38C_2042.263022021.28C_2139.663222122C_2252.874522212.67C_234573522322.5C_2440.583112422.29C_2571.526912537.05C_2664.525612633.88C_2