Multidimensional Rasch Measurement via Item Component Models and Faceted Designs
- 1 March 2002
- journal article
- research article
- Published by SAGE Publications in Applied Psychological Measurement
- Vol. 26 (1) , 42-56
- https://doi.org/10.1177/0146621602026001003
Abstract
A multidimensional Rasch model is presented here, which is a multidimensional extension of item component models. Relations to existing multidimensional item response theory models are discussed. Apart from other applications, it is also suitable for analyzing tests and questionnaires, which are designed according to two or more facets. An application to a 77-item questionnaire on students’ interest in physics with a two-facet structure demonstrates that the model parameters can even be estimated when 17 latent dimensions are to be measured simultaneously (by means of joint maximum likelihood methods).Keywords
This publication has 22 references indexed in Scilit:
- The Multidimensional Random Coefficients Multinomial Logit ModelApplied Psychological Measurement, 1997
- Multicomponent Response ModelsPublished by Springer Nature ,1997
- Unidimensional Linear Logistic Rasch ModelsPublished by Springer Nature ,1997
- An Extension of the Rating Scale Model with an Application to the Measurement of ChangePsychometrika, 1991
- Applying the Principles of Specific Objectivity and of Generalizability to the Measurement of ChangePsychometrika, 1987
- Logistic Latent Trait Models with Linear ConstraintsPsychometrika, 1983
- An Extension of the Rasch Model for Ratings Providing Both Location and Dispersion ParametersPsychometrika, 1982
- Application of a Psychometric Rating Model to Ordered Categories Which Are Scored with Successive IntegersApplied Psychological Measurement, 1978
- The linear logistic test model as an instrument in educational researchActa Psychologica, 1973
- A measurement model for the effect of mass-mediaActa Psychologica, 1972