Abstract
Parameter estimation for Keats generalization of the Rasch model that takes account of guessing behavior is investigated. It is shown that no minimal sufficient statistics for the ability parameters independent of the difficulty parameters exist. Thus Andersen's conditional inference technique for consistent estimation is not applicable to Keats' model. The notion of separability of the parameters is generalized.
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Andersen, E. B.Conditional inference and models for measuring. Copenhagen: Mentalhygiejnisk Forlag, 1973a.
Andersen, E. B. Conditional inference for multiple choice questionnaires.British Journal of Mathematical and Statistical Psychology, 1973b,26, 31–44.
Keats, J. A. Applications of projective transformations to test theory.Psychometrika, 1974,39, 359–360.
Neyman, J. & Scott, E. L. Consistent estimates based on partially consistent observations.Econometrica, 1948,16, 1–32.
White, P. O. A note on Keats' generalization of the Rasch model.Psychometrika, 1976,41, 405–407.
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Colonius, H. On Keats' generalization of the rasch model. Psychometrika 42, 443–445 (1977). https://doi.org/10.1007/BF02293662
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DOI: https://doi.org/10.1007/BF02293662