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Retained-Components Factor Transformation: Factor Loadings and Factor Score Predictors in the Column Space of Retained Components

Retained-Components Factor Transformation: Factor Loadings and Factor Score Predictors in the Column Space of Retained Components

Factor loadings optimally account for the non-diagonal elements of the covariance matrix of observed variables. Principal component analysis leads to components accounting for a maximum of the variance of the observed variables. Retained-components factor transformation is proposed in order to combine the advantages of factor analysis and principal component analysis.