Multicategorical Spline Model for Item Response Theory
- 1 March 1992
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 57 (1) , 5-27
- https://doi.org/10.1007/bf02294656
Abstract
Additional information contained in incorrect responses calls for a multicategorical rather than a binary analysis of multiple choice data. A nonparametric divided-by-total model for joint maximum likelihood estimation of probability-of-choice functions (for particular responses) and of latent ability is proposed. The model approximates probability functions by rational splines. Some illustrative examples of real test data analysis and the results of a Monte Carlo study are presented.Keywords
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