A Latent Class Model for Rating Data

Jürgen Rost

30 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Psychological Testing and Assessment Educational Assessment and Pedagogy

Abstract

A latent class model for rating data is presented which is the analogue of Andrich's binomial Rasch model for Lazarsfeld's latent class analysis (LCA). The response probabilities for the rating categories follow a binomial distribution and depend on class-specific item parameters. The EM-algorithm for parameter estimation as well as goodness of fit tests for the model are described. An example using questionnaire items on interest in physics illustrates the use of the model as an alternative to the latent trait approach of analyzing test data.

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References

1982A Rasch Model for Partial Credit Scoring 1978A Rating Formulation for Ordered Response Categories 1969Latent Structure Analysis.2014Latent Structure Analysis 1979Analysis of Qualitative Data 1982An Extension of the Rasch Model for Ratings Providing Both Location and Dispersion Parameters 1980Sociological Methodology, 1979.1979Some latent structure models for the analysis of likert-type data

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1990Rasch Models in Latent Classes: An Integration of Two Approaches to Item Analysis 1992Modelling patterns of agreement and disagreement 1986Test Theory and Psychometrika: The Past Twenty-Five Years

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