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The Concept of Configuration of Interpersonal Relations in a Group as a Time-Dependent Stochastic Process

Published online by Cambridge University Press:  01 January 2025

Leo Katz  and
Charles H. Proctor
Leo Katz
Affiliation:
Michigan State University
Charles H. Proctor
Affiliation:
Michigan State University
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Abstract

To explain changes in the sociometric configuration of a group through time, a problem arises of the extent to which such changes may be viewed as the aggregation of part-processes occurring at the level of two-person choice structures. A possible model is a Markov chain in which three possible states are mutual choice, one-way choice, and indifference, one realization for each pair of choosing individuals in the group. Choice data for an eighth-grade classroom are fitted to this model and are used to answer questions of constancy of transition probabilities, order of the chain, and sex differences.

Information

Type
Original Paper
Information
Psychometrika , Volume 24 , Issue 4 , December 1959 , pp. 317 - 327
Copyright
Copyright © 1959 The Psychometric Society

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References

Anderson, T. W.and Goodman, L. A. Statistical inference about Markov chains. Ann. math. Statist., 1957, 28, 89–110.CrossRefGoogle Scholar
Feller, W. An introduction to probability theory and its applications. Vol. 1 (2nd ed.), New York: Wiley, 1957.Google Scholar
Taba, H. With perspective on human relations: a study of peer group dynamics in an eighth grade, Washington, D. C.: Amer. Council Educ., 1955.Google Scholar