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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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