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A Paired Compositions Model for Round-Robin Experiments

Published online by Cambridge University Press:  01 January 2025

John R. Gleason  and
Silas Halperin
John R. Gleason
Affiliation:
Syracuse University
Silas Halperin
Affiliation:
Syracuse University
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Abstract

Investigation of the effects of a series of treatment conditions upon some social behaviors may require observation of a set of subjects which have been mutually paired, in round-robin fashion. Data arising from such experiments are difficult to analyze, partly because they do not fit neatly into standard designs. A paired compositions scaling model due to Bechtel is adapted to provide a linear model for such round-robin experiments. Both fixed and mixed versions of the model are considered and some results of a Monte Carlo study of the mixed model are reported. The model is applied to illustrative data from the field of physiological psychology.

Type
Original Paper
Information
Psychometrika , Volume 40 , Issue 4 , December 1975 , pp. 433 - 454
Copyright
Copyright © 1975 The Psychometric Society

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Footnotes

*

We wish to thank Corinne A. Rieder and Augustus R. Lumia for graciously making available their data, a portion of which serves as the example in Section 6. Portions of this paper were presented at the Psychometric Society meeting, Stanford, California, March 28, 1974.

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