A New Family of Models for the Multiple-Choice Item.

Abstract
The three-parameter logistic model has been used by many researchers as the model for the multiple-choice item, regardless of the fact that for most multiple-choice test items the examinee's behavior does not follow the knowledge or random guessing principle, upon which the model is based. Estimation of the operating characteristics without assuming any mathematical forms has been pursued by the present author and many combinations of methods and approaches have been produced. The application of these methods for many empirical data will enable us to discover the operating characteristics of multiple-choice items, and, eventually, lead us to more meaningful models than the three- parameter logistic model. While the research in this direction is in process, however, it will be helpful if some other model or models, which is based upon a sounder rationale than the knowledge or random guessing principle, is proposed.

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