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Identification of Inconsistent Variates in Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Yutaka Kano  and
Masamori Ihara
Yutaka Kano*
Affiliation:
University of Osaka Prefecture
Masamori Ihara
Affiliation:
Osaka Electro-Communication University
*
Requests for reprints should be sent to Yutaka Kano, Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture, Sakai 593, Osaka, JAPAN
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Abstract

When some of observed variates do not conform to the model under consideration, they will have a serious effect on the results of statistical analysis. In factor analysis the model with inconsistent variates may result in improper solutions. In this article a useful method for identifying a variate as inconsistent is proposed in factor analysis. The procedure is based on the likelihood principle. Several statistical properties such as the effect of misspecified hypotheses, the problem of multiple comparisons, and robustness to violation of distributional assumptions are investigated. The procedure is illustrated by some examples.

Keywords

likelihood ratio testmultiple comparisonrobustnessvariable selection
Type
Original Paper
Information
Psychometrika , Volume 59 , Issue 1 , March 1994 , pp. 5 - 20
Copyright
Copyright © 1994 The Psychometric Society

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