Accession Number : AD0625222

Title :   FACTORING TO FIT OFF DIAGONALS.

Descriptive Note : Technical research note,

Corporate Author : ARMY PERSONNEL RESEARCH OFFICE WASHINGTON D C

Personal Author(s) : Boldt,Robert F.

Report Date : OCT 1965

Pagination or Media Count : 23

Abstract : In factoring for conventional purposes, factor loadings are desired which minimize the sums of squares of offdiagonal residuals. Such loadings have been shown to be consistent estimates of the population factor loadings. Two methods are developed: a generalization of the method of minimum residuals, and an application of the method of steepest descent. The method of steepest descent is superior since it is faster, it gave the right communalities when the communalities were known, and it cannot give imaginery factors. Communalities increase as the number of factors increase--Heywood cases imply an upper bound on the number of factors. When applied to somatotype data, the method improved substantially on centroid solutions and indicated a reinterpretation of earlier factoring studies. (Author)

Descriptors :   (*FACTOR ANALYSIS, MATRICES(MATHEMATICS)), OPTIMIZATION, LEAST SQUARES METHOD, S MATRIX, PSYCHOLOGICAL TESTS, ANTHROPOMETRY

Subject Categories : Personnel Management and Labor Relations
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE