ERIC Number: ED362552
Record Type: Non-Journal
Publication Date: 1993-Apr
Generalizations of the Solution-Error Response-Error Model. Project Psychometric Aspects of Item Banking No. 54. Research Report 93-1.
Westers, Paul; Kelderman, Henk
In the last decade, several attempts have been made to relate item response theory (IRT) models to latent class analysis (LCA) models. One of these attempts is the solution-error response-error (SERS) model, an LCA model in which the structure of the latent class probabilities is explained by a one-dimensional loglinear Rasch model. In this paper, the SERE model is generalized to models for polytomously scored latent states that may be explained by a multidimensional latent space. In this generalized SERE model a distinction is made between some well-defined latent states in which the subject has a certain amount of knowledge of the answer. The probability that the subject is in a certain state is assumed to be governed by the multidimensional polytomous latent trait model. The relationship between the latent states and the observed answers is described by conditional probabilities. Two appendixes present items from a clinical pathology test and a proof of the collapsed generalized SERE model. Five tables and four figures illustrate the discussion. (Contains 38 references.) (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Foreign Countries, Generalization, Goodness of Fit, Item Response Theory, Mathematical Models, Pathology
Bibliotheek, Department of Education, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.
Publication Type: Reports - Evaluative
Education Level: N/A
Authoring Institution: Twente Univ., Enschede (Netherlands). Dept. of Education.