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1 results

  • Latent Class Models for Nonmonotone Dichotomous Items

  • Anton K. Formann
  • Journal:
    Psychometrika / Volume 53 / Issue 1 / March 1988
    Published online by Cambridge University Press:
    01 January 2025, pp. 45-62

  • Starting from perfectly discriminating nonmonotone dichotomous items, a class of probabilistic models with or without response errors and with or without intrinsically unscalable respondents is described. All these models can be understood as simply restricted latent class analysis. Thus, the estimation and identifiability of the parameters (class sizes and item latent probabilities) as well as the chi-squared goodness-of-fit tests (Pearson and likelihood-ratio) are free of the problems. The applicability of the proposed variants of latent class models is demonstrated on real attitudinal data.