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New Analysis of Variance Formulas for Treating Data from Mutually Paired Subjects

Published online by Cambridge University Press:  01 January 2025

Joseph Lev  and
Elaine F. Kinder
Joseph Lev
Affiliation:
Yerkes Laboratories of Primate Biology, Orange Park, Florida
Elaine F. Kinder
Affiliation:
Yerkes Laboratories of Primate Biology, Orange Park, Florida
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Abstract

The experimental design considered in this paper is one in which each of a group of several subjects is observed in the presence of each of the other subjects of the group, the entire set of possible pairings being repeated or replicated on several occasions. Analysis of variance formulas are described for this somewhat unusual design. Both the model of constants and mixed model are considered. Reliability formulas growing out of the analysis of variance calculations are developed.

Type
Original Paper
Information
Psychometrika , Volume 22 , Issue 1 , March 1957 , pp. 1 - 15
Copyright
Copyright © 1957 The Psychometric Society

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Footnotes

*

This work was supported in part by grants M-627; M-627C from the National Institutes of Health, Public Health Service.

†

New York State Department of Civil Service.

‡

New York State Department of Mental Hygiene.

References

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