Equivalent MIRID Models
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| Title: | Equivalent MIRID Models |
|---|---|
| Language: | English |
| Authors: | Maris, Gunter, Bechger, Timo M. |
| Source: | Psychometrika. Dec 2004 69(4):627-639. |
| Availability: | Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com. |
| Peer Reviewed: | Y |
| Page Count: | 13 |
| Publication Date: | 2004 |
| Document Type: | Journal Articles Reports - Descriptive |
| Descriptors: | Difficulty Level, Test Items, Models, Theories, Psychometrics, Item Analysis, Test Construction |
| DOI: | 10.1007/BF02289859 |
| ISSN: | 0033-3123 |
| 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. |
| Abstractor: | Author |
| Entry Date: | 2006 |
| Accession Number: | EJ736774 |
| Database: | ERIC |
| 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. |
|---|---|
| ISSN: | 0033-3123 |
| DOI: | 10.1007/BF02289859 |
