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Chance in Guttman scaling
Authors:David J Strauss
Institution:Department of Statistics, University of California-Riverside, USA
Abstract:In their recent paper (1977, Social Science Research, 6, 188–196), Kenny and Rubin offer an interpretation of “chance” in Guttman scaling. Their approach is based on the matrix of probabilities pij, giving the chance that the ith respondent passes the jth item. It is shown that their interpretation of chance in fact corresponds to a stochastic model of a perfect unidimensional scale. An alternative condition for chance based on the matrix of pij's is proposed. This is then proved to be equivalent to the usual interpretation.
Keywords:Address requests for reprints to D  J  Strauss  School of Social Sciences  University of California  Irvine  Irvine  CA 92717  
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