, Volume 43, Issue 1, pp 31–41

Evaluating the conformity of sociometric measurements


  • Lawrence J. Hubert
    • University of California
  • Frank B. Baker
    • Department of Educational PsychologyThe University of Wisconsin

DOI: 10.1007/BF02294087

Cite this article as:
Hubert, L.J. & Baker, F.B. Psychometrika (1978) 43: 31. doi:10.1007/BF02294087


The problem of comparing two sociometric matrices, as originally discussed by Katz and Powell in the early 1950's, is reconsidered and generalized using a different inference model. In particular, the proposed indices of conformity are justified by a regression argument similar to the one used by Somers in presenting his well-known measures of asymmetric ordinal association. A permutation distribution and an associated significance test are developed for the specific hypothesis of “no conformity” reinterpreted as a random matching of the rows and (simultaneously) the columns of one sociometric matrix to the rows and columns of a second. The approximate significance tests that are presented and illustrated with a simple numerical example are based on the first two moments of the permutation distribution, or alternatively, on a random sample from the complete distribution.

Key words

sociometric measurementpermutation testsociometrynonparametric test
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© Psychometric Society 1978