2015Shuxue de shijian yu renshiRequires access

Application of Eigenvalue and Principal Components Based on Factor

Zhang Lin-qua

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Abstract

Three methods of Principal Components Analysis are presented after the basic idea of the Factor Analysis has been discussed,and with it,some examples based on the correlation coefficient matrix have been given,and then the Eigenvalue and the corresponding Eigenvectors have been calculated.Next,a comparison is made from such angles as communality values,cumulative variance and Eigenvalue,which come from factor loading matrix before and after varimax rotation.Thus,the relationship between factor analysis and the principal component analysis is further revealed.

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What this paper is about

Three methods of Principal Components Analysis are presented after the basic idea of the Factor Analysis has been discussed,and with it,some examples based on the correlation coefficient matrix have been given,and then the Eigenvalue and the corresponding Eigenvectors have been calculated.Next,a comparison is made from such angles as communality values,cumulative variance and Eigenvalue,which come from factor loading matrix before and after varimax rotation.Thus,the relationship between factor analysis and the principal component analysis is further revealed.

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Available abstract

Three methods of Principal Components Analysis are presented after the basic idea of the Factor Analysis has been discussed,and with it,some examples based on the correlation coefficient matrix have been given,and then the Eigenvalue and the corresponding Eigenvectors have been calculated.Next,a comparison is made from such angles as communality values,cumulative variance and Eigenvalue,which come from factor loading matrix before and after varimax rotation.Thus,the relationship between factor analysis and the principal component analysis is further revealed.

Key concepts: Varimax rotation, Principal component analysis, Eigenvalues and eigenvectors, Mathematics, Factor analysis, Matrix (chemical analysis), Applied mathematics, Factor (programming language)

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