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A Simple Test for Heterogeneity of Variance in Complex Factorial Designs

Published online by Cambridge University Press:  01 January 2025

John E. Overall  and
J. Arthur Woodward
John E. Overall
Affiliation:
The University of Texas Medical Branch, Galveston
J. Arthur Woodward
Affiliation:
The University of Texas Medical Branch, Galveston
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Abstract

A simple procedure for testing heterogeneity of variance is developed which generalizes readily to complex, multi-factor experimental designs. Monte Carlo Studies indicate that the Z-variance test statistic presented here yields results equivalent to other familiar tests for heterogeneity of variance in simple one-way designs where comparisons are feasible. The primary advantage of the Z-variance test is in the analysis of factorial effects on sample variances in more complex designs. An example involving a three-way factorial design is presented.

Information

Type
Original Paper
Information
Psychometrika , Volume 39 , Issue 3 , September 1974 , pp. 311 - 318
Copyright
Copyright © 1974 The Psychometric Society

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Footnotes

*

This work was supported in part by grant DHEW 2 RO 1 MH 14675-06 from the Psychopharmacology Research Branch, NIMH.

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