Estimation of Item and Person Parameters

The MIRT models presented in this book are useful from a theoretical perspective because they provide a model for the interaction between persons and test items. The different kinds of models represent different theoretical perspectives. For example, the compensatory and partially compensatory models provide two different conceptions of how levels on hypothetical constructs combine when applied to items that require some level on the constructs to determine the correct response. Although the theoretical models are interesting in their own right, the practical applications of the models require a means of estimating the item and person parameters for the models. Without practical procedures for parameter estimation, the usefulness of the models is very limited.

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