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A Probabilistic Formulation and Statistical Analysis of Guttman Scaling

Published online by Cambridge University Press:  01 January 2025

C. H. Proctor
C. H. Proctor*
Affiliation:
North Carolina State University
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Abstract

By proposing that the latent or true nature of subjects is identified with a limited number of response patterns (the Guttman scale patterns), the probability of an observed response pattern can be written as the sum of products of the probability of the true type multiplied by the chance of sufficient response error to cause the observed pattern to appear. This model contains the proportions of the true types as parameters plus some misclassification probabilities as parameters. Maximum likelihood methods are used to make estimates and test the fit for some examples.

Type
Original Paper
Information
Psychometrika , Volume 35 , Issue 1 , March 1970 , pp. 73 - 78
Copyright
Copyright © 1970 The Psychometric Society

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