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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References
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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