A Paired Compositions Model for Round-Robin Experiments

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 st...

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Bibliographic Details
Published in:Psychometrika 1975-12, Vol.40 (4), p.433-454
Main Authors: Gleason, John R., Halperin, Silas
Format: Article
Language:English
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Summary: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.
ISSN:0033-3123
1860-0980
DOI:10.1007/BF02291548