Latent Class Models for Nonmonotone Dichotomous Items
- 1 March 1988
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 53 (1) , 45-62
- https://doi.org/10.1007/bf02294193
Abstract
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.Keywords
This publication has 13 references indexed in Scilit:
- Constrained latent class models: Theory and applicationsBritish Journal of Mathematical and Statistical Psychology, 1985
- A General Framework for using Latent Class Analysis to Test Hierarchical and Nonhierarchical Learning ModelsPsychometrika, 1983
- A psychological scaling model for testing order hypothesesBritish Journal of Mathematical and Statistical Psychology, 1980
- A Scaling Model with Response Errors and Intrinsically Unscalable RespondentsPsychometrika, 1980
- The Use of Probabilistic Models in the Assessment of MasteryJournal of Educational Statistics, 1977
- A Probabilistic Model for Validation of Behavioral HierarchiesPsychometrika, 1976
- A New Model for Scaling Response Patterns: An Application of the Quasi-Independence ConceptJournal of the American Statistical Association, 1975
- Exploratory latent structure analysis using both identifiable and unidentifiable modelsBiometrika, 1974
- A probabilistic formulation and statistical analysis of guttman scalingPsychometrika, 1970
- Efficient Estimation and Local Identification in Latent Class AnalysisPsychometrika, 1956