A Latent Class Model for Rating Data
- 1 March 1985
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 50 (1) , 37-49
- https://doi.org/10.1007/bf02294146
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.Keywords
This publication has 16 references indexed in Scilit:
- Problems with EM Algorithms for ML Factor AnalysisPsychometrika, 1983
- An Extension of the Rasch Model for Ratings Providing Both Location and Dispersion ParametersPsychometrika, 1982
- Silyl Nitronates in Organic Synthesis. Routes to Heterocycles and Cyclopentanoids. Synthesis of Allethrolone and Calythrone. Acylation and Cyanohydroxylation of Double Bonds. An Exploratory Study.Acta Chemica Scandinavica, 1982
- Finite Mixture DistributionsPublished by Springer Nature ,1981
- On the Estimation of Parameters in Latent Structure AnalysisPsychometrika, 1979
- Some latent structure models for the analysis of likert-type dataSocial Science Research, 1979
- A Rating Formulation for Ordered Response CategoriesPsychometrika, 1978
- Small-Sample Comparisons of Exact Levels for Chi-Squared Goodness-of-Fit StatisticsJournal of the American Statistical Association, 1978
- A binomial latent trait model for the study of Likert‐style attitude questionnairesBritish Journal of Mathematical and Statistical Psychology, 1978
- Conditional maximum‐likelihood estimation for a multiplicative binominal response modelBritish Journal of Mathematical and Statistical Psychology, 1978