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多変量解析のための各種手法

      


      
因子分析

      
* 主成分分析
* 主因子法
* 反復主因子法
* ML因子
* バリマックス直交回転法（Horstの標準化手法による方法とそうでない方法）
* プロマックス斜交回転法（Horstの標準化手法による方法とそうでない方法）
* Bartlettの得点法
* 回帰得点法


      
主成分分析

      
*　　　Works with datasets or correlation or covariance matrices 
*	Standard errors of eigenvalues and vectors 
*	Rotations 
*	Anti-image correlation matrices 
*	KaiserﾐMeyerﾐOlkin measure of sampling adequacy 
*	Loading plots, score plots, and scree plots 
*	Squared multiple correlations 
*	Orthogonal and oblique rotations 
*	Kaiser normalization 
*	Varimax, quartimax, oblimax, parsimax, equamax, and promax rotation 
*	Minimum entropy rotation 
*	Comrey’s tandem 
*	Rotate toward a target matrix 

      

      
判別分析

      
*	線形

      *	Quadratic 

      *	Logistic 

      *	kth nearest neighbor 

      *	Classification tables 

      *	Error rates 




      


      
多変量検定

      
*	One- and multisample  

      *	Means, covariances, and correlations 

      *	Tests of normality

      
*	DoornikﾐHansen 

      *	HenzeﾐZirkler 

      *	Two by Mardia 

      


      


      
多次元スケーリング

      
*	Modern metric and nonmetric multidimensional scaling

      *	Classic metric multidimensional scaling 

      *	Works on datasets or matrices of distances 

      *	33 similarity/dissimilarity measures 

      *	Coordinates of approximating configuration 

      *	Correlations between dissimilarities and distances 

      *	Kruskal stress measure 

      *	Shepard diagram 

      *	Plots of approximation Euclidian configuration 

      


      
コレスポンデンス分析

      
*	Two-way correspondence analysis 

      *	Multiple correspondence analysis (MCA) 

      *	Joint correspondence analysis (JCA) 

      *	Work with cross-tabulations of categorical variables or matrices
      of counts 

      *	Coordinates in column space 

      *	Coordinates in row space (with two-way CA) 

      *	Stacked (crossed) variables 

      *	Chi-squared distances 

      *	Inertia contributions 

      *	Row and column profiles (conditional distributions) 

      *	Fitted, observed, and expected correspondence tables 

      *	Matrix of inertias (after JCA) 

      *	Biplots 

      *	Projection plots 

      *	Correlations of profiles and loadings 

      


      
プロクラステス分析

      
*	Orthogonal, oblique, and unrestricted transformations 

      *	Overlayed graphs comparing target variables and fitted values
      of source variables 

      


      
バイプロット分析

      
正準相関分析

      
Tetrachoric correlations

      
 Zellnerの見かけ上無関係な最小二乗法

      
多変量線形回帰

      
ホテリングのT二乗(Hotteling)

      

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