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On Methods in the Analysis of Profile Data

Published online by Cambridge University Press:  01 January 2025

Samuel W. Greenhouse  and
Seymour Geisser
Samuel W. Greenhouse
Affiliation:
National Institute of Mental Health
Seymour Geisser
Affiliation:
National Institute of Mental Health
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Abstract

This paper is concerned with methods for analyzing quantitative, non-categorical profile data, e.g., a battery of tests given to individuals in one or more groups. It is assumed that the variables have a multinormal distribution with an arbitrary variance-covariance matrix. Approximate procedures based on classical analysis of variance are presented, including an adjustment to the degrees of freedom resulting in conservative F tests. These can be applied to the case where the variance-covariance matrices differ from group to group. In addition, exact generalized multivariate analysis methods are discussed. Examples are given illustrating both techniques.

Type
Original Paper
Information
Psychometrika , Volume 24 , Issue 2 , June 1959 , pp. 95 - 112
Copyright
Copyright © 1959 The Psychometric Society

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Footnotes

*

We are indebted to Mrs. Norma French for performing all the calculations appearing in this paper.

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