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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.
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Leo Katz
California State University System
Charles Proctor
North Carolina State University
Psychometrika
Michigan State University
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Katz et al. (Tue,) studied this question.
synapsesocial.com/papers/6a0fb603d13714ec96fe820a — DOI: https://doi.org/10.1007/bf02289814