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The Choice of an Error Term in Analysis of Variance Designs

Published online by Cambridge University Press:  01 January 2025

Arnold Binder
Arnold Binder*
Affiliation:
Indiana University
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Abstract

This article presents a survey of the assumptions which may be made in variance designs, a description of the mathematical models which reflect these assumptions, and a discussion of the ways in which various experimental conditions affect the choice of an error mean square. Particular emphasis is laid upon the principles, purposes, and dangers of pooling error mean squares in order to raise the power of a test. Specific recommendations are made for the rules of procedure for pooling (under various conditions) which produce tests with optimum power and error characteristics.

Type
Original Paper
Information
Psychometrika , Volume 20 , Issue 1 , March 1955 , pp. 29 - 50
Copyright
Copyright © 1955 The Psychometric Society

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Footnotes

*

The writer is indebted to Professors Quinn McNemar and Lincoln Moses of Stanford University for reading the manuscript and offering many helpful suggestions and criticisms. He is grateful to Professor Z. W. Birnbaum of the University of Washington for preliminary suggestions as to form and notation.

†

The preliminary draft of this paper was completed while the author was at Stanford University and the Veterans Administration Hospital, Palo Alto.

References

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