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1、AppliedMultivariateMethods辛濤InstituteofDevelopmentalPsychologySchoolofPsychologyBeijingNormalUniversityxintao@bnu.edu.cn1?XinTao,2004課程計劃復習部分:多元回歸分析(MultivariateRegression);復方差分析(MANOVA);因素分析(FactorAnalysis);聚類分析(ClusterAnalysis).講授部分:LogisticRegression;路經(jīng)分析(PathAnalysis);判別分析(discriminantAnalys
2、is);典則相關(CanonicalCorrelation);重復測量方差分析(RepeatedMeasuresAnalysis);Log-linearModel;MultilevelModeling(?).2(c)XinTao,2004課程要求與考核課程要求:?最好有一定數(shù)學背景;?堅持上機練習;?完成要求的作業(yè)。課程考核:?沒有期末考試;?每一單元有一次作業(yè),其成績算作考核的重要部分;?FinalPaper.3(c)XinTao,2004TextbookandReferences?Notextbook.?References:1.何曉群.多元統(tǒng)計分析.北京:中國人民大學出版社,20
3、042.方開泰.使用多元統(tǒng)計分析.上海:華東師范大學出版社,19893.張文彤.SPSS11統(tǒng)計分析教程(高級篇).北京:北京希望電子出版社,20024.郭志剛.社會統(tǒng)計分析方法—SPSS軟件應用.北京:中國人民大學出版社,19995.張敏強.教育與心理統(tǒng)計學.北京:人民教育出版社,19946.程書肖,李仲來.教育統(tǒng)計學.遼寧:遼寧教育出版社,1991?7.Stevens,J.(1996).Appliedmultivariatestatisticsforthesocialscience.NJ:LawrenceErlbaum.8.Agresti,A.(2002).Categoricald
4、ataanalysis(2ndEd.).NewJersey:JohnWiley&Sons.9.Bryk,A.S.,&Raudenbush,S.W.(1996).HierarchicalLinearandnonlinearModeling.withtheHLM/SLandHLM/3LPrograms.ScientificSoftwareInternational,Inc.4(c)XinTao,2004Software?SPSS*?SAS?Splus(orR)?Mplus–StructuralEquationModeling,HLM?AMOS–StructuralEquationModel
5、ing?LISREL–StructuralEquationModeling?LEM–CategoricalDataAnalysis(freedownload)?HLM–MultilevelModelingOffice:#245,YingdongHallOfficehour:Wed.2:30–4:00ContactInf.:5880-52785(c)XinTao,2004MultivariateAnalysisThestatisticanalysisofdatacollectedmorethanoneresponsevariables.Techniquesandapproachesfor
6、makingsenseoflargeandcomplicateddatasetsthatconsistofmanyvariablesandmanyobservations.Underlyingthemesofalltechniquesare:SummarizationSimplification6(c)XinTao,2004OverviewtoMultivariateMethods7(c)XinTao,20048(c)XinTao,20049(c)XinTao,200410(c)XinTao,200411(c)XinTao,200412(c)XinTao,200413(c)XinTao
7、,200414(c)XinTao,2004一些矩陣的特征直觀矩陣15(c)XinTao,20042.性質(zhì)加法:乘法:16(c)XinTao,200417(c)XinTao,2004例:18(c)XinTao,20043.方陣、對稱陣和單位陣4.矩陣的轉(zhuǎn)序5.矩陣的秩(Rank)一個矩陣中線性獨立的行向量(或列向量)的最大值。19(c)XinTao,20046.行列式(determinant)給我們關于矩陣大小(sizeofMatrix)的信息7