Convergence Properties of Certain Minres Algorithms

Multivariate Behavioral Research
J M Ten Berge, F E Zegers

Abstract

Levin (1988) has challenged the convergence properties of the Harman and Jones (1966) method of Minres factor analysis. Levin claimed that convergence of the Harman and Jones method is not guaranteed and that a modified version of this method, with proven convergence, is to be preferred. In the present article it is shown that both claims are invalid. Monotone convergence of the Harman and Jones method is guaranteed whereas the modified version, proposed by Levin, may converge to an incorrect solution. Levin has also claimed that the rank-one version of the Harman and Jones method, as implemented in a method by Zegers and ten Berge (1983) lacks a valid convergence proof, and that a method suggested by Comrey and Ahumada (1964, 1965) should be used instead. It is shown that these claims, too, should be reversed.

References

Sep 1, 1966·Psychometrika·H H Harman, W H Jones
Oct 1, 1965·Psychological Reports·A L Comrey, A Ahumada
Jul 1, 1983·Multivariate Behavioral Research·F E Zegers, J M Ten Berge
Jul 1, 1987·Multivariate Behavioral Research·S A Mulaik
Jul 1, 1988·Multivariate Behavioral Research·J Levin

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Citations

Sep 24, 2004·The British Journal of Nutrition·Martin R YeomansMicah Leshem

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