Equivalent MIRID models |
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Authors: | Email author" target="_blank">Gunter?MarisEmail author Timo?M?Bechger |
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Institution: | (1) Cito, National Institute for Educational Measurement, The Netherlands;(2) Cito, P.O. Box 1034, 6801 MG Arnhem, Netherlands |
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Abstract: | It is shown that in the context of the Model with Internal Restrictions on the Item Difficulties (MIRID), different componential
theories about an item set may lead to equivalent models. Furthermore, we provide conditions for the identifiability of the
MIRID model parameters, and it will be shown how the MIRID model relates to the Linear Logistic Test Model (LLTM). While it
is known that the LLTM is a special case of the MIRID, we show that it is possible to construct an LLTM that encompasses the
MIRID. The MIRID model places a bilinear restriction on the item parameters of the Rasch model. It is explained how this fact
is used to simplify the results of Bechger, Verhelst, and Verstralen (2001) and Bechger, Verstralen, and Verhelst (2002),
and extend their scope to a wider class of models. |
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Keywords: | MIRID LLTM identifiability model equivalence |
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