Rasch Models in Latent Classes: An Integration of Two Approaches to Item Analysis
Tóm tắt
A model is proposed that combines the theoret ical strength of the Rasch model with the heuristic power of latent class analysis. It assumes that the Rasch model holds for all persons within a latent class, but it allows for different sets of item parameters between the latent classes. An estima tion algorithm is outlined that gives conditional maximum likelihood estimates of item parameters for each class. No a priori assumption about the item order in the latent classes or the class sizes is required. Application of the model is illustrated, both for simulated data and for real data.
Từ khóa
Tài liệu tham khảo
Clogg, C.C., 1989, A simple latent class model for item analysis
Croon, M., 1989, Latent class analysis with ordered latent classes
Dempster, A.P., 1977, Journal of the Royal Statistical Society, 39, 1, 10.1111/j.2517-6161.1977.tb01600.x
Formann, A.K., 1989, Research Bulletin, 29
Haberman, S., 1979, Analysis of qualitative data, Vol. 2: New developments
Heinen, T., 1989, Latent trait models in LCA perspective
Kelderman, H., Journal of Educational Measurement
Lazarsfeld, P.F., 1968, Latent structure analysis
Mislevy, R.J., Psychometrika
Rost, J., British Journal of Mathematical and Statistical Psychology
Wright, D.D., 1982, Rating scale analysis: Rasch measurement