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Complex Analyses of Variance: General Problems

Published online by Cambridge University Press:  01 January 2025

Bert F. Green Jr.  and
John W. Tukey
Bert F. Green Jr.
Affiliation:
Lincoln Laboratory, Massachusetts Institute of Technology
John W. Tukey
Affiliation:
Princeton University
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Abstract

Problems in applying the analysis of variance are discussed. Emphasis is placed on using the technique to understand the data. The scale of the dependent variable is important for the analysis. Crossed and nested categories must be recognized. The error terms in the analysis depend on whether the classes of each independent variable are (1) all out of a few or (2) a few out of many. To simplify the analysis, mean squares should be aggregated with their error term when they are less than twice its size. An illustrative example is discussed in detail.

Type
Original Paper
Information
Psychometrika , Volume 25 , Issue 2 , June 1960 , pp. 127 - 152
Copyright
Copyright © 1960 The Psychometric Society

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Footnotes

*

Prepared in connection with research sponsored in part by the Office of Naval Research, in part by the Educational Testing Service, and in part by Lincoln Laboratory, a center for research operated by Massachusetts Institute of Technology with the joint support of the U. S. Army, Navy, and Air Force.

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