Date of Award

1986

Degree Type

Dissertation

Degree Name

Doctor of Philosophy in Psychology

Department

Psychology

First Advisor

Wayne F. Velicer

Abstract

Researchers who employ multivariate techniques often wish to compare solutions obtained from two independent studies. When factor analysis or component analysis procedures are employed, pattern matrices are compared, In the present study, the matching performance of several component matching indices, coefficient of congruence(c), s – statistic (i), Pearson r (r), and kappa (k), were compared under a variety of experimental conditions. Independent variables manipulated were (1) component saturation or size of component loadings, (2) sample size, (3) the number of variables, and (4) the number of components. Five sample component patterns were computer generated and matched, employing each index, to their population component pattern. Matching performance was assessed both within indices and between indices. No index was free of the influence of the variables manipulated. Component saturation and sample size exerted the primary influence on index matching performance. An increase in either of these variables resulted in index values that more accurately reflected whether or not components matched. With the exception of r, little difference in matching performance between indices was observed. For all practical purposes, matching performance for c, s, and k was indistinguishable when both corresponding components and non-corresponding components were compared.

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