A Note on the Equivalence between Observed and Expected Information Functions with Polytomous IRT Models
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| Title: | A Note on the Equivalence between Observed and Expected Information Functions with Polytomous IRT Models |
|---|---|
| Language: | English |
| Authors: | Magis, David |
| Source: | Journal of Educational and Behavioral Statistics. Feb 2015 40(1):96-105. |
| Availability: | SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: http://sagepub.com |
| Peer Reviewed: | Y |
| Page Count: | 10 |
| Publication Date: | 2015 |
| Document Type: | Journal Articles Reports - Research |
| Descriptors: | Item Response Theory, Models, Statistics, Computation |
| DOI: | 10.3102/1076998614558122 |
| ISSN: | 1076-9986 |
| Abstract: | The purpose of this note is to study the equivalence of observed and expected (Fisher) information functions with polytomous item response theory (IRT) models. It is established that observed and expected information functions are equivalent for the class of divide-by-total models (including partial credit, generalized partial credit, rating scale, and nominal response models) but not for the class of difference models (including the graded response and modified graded response models). Yet, observed information function remains positive in both classes. Straightforward connections with dichotomous IRT models and further implications are outlined. |
| Abstractor: | As Provided |
| Number of References: | 20 |
| Entry Date: | 2015 |
| Accession Number: | EJ1049771 |
| Database: | ERIC |
| Abstract: | The purpose of this note is to study the equivalence of observed and expected (Fisher) information functions with polytomous item response theory (IRT) models. It is established that observed and expected information functions are equivalent for the class of divide-by-total models (including partial credit, generalized partial credit, rating scale, and nominal response models) but not for the class of difference models (including the graded response and modified graded response models). Yet, observed information function remains positive in both classes. Straightforward connections with dichotomous IRT models and further implications are outlined. |
|---|---|
| ISSN: | 1076-9986 |
| DOI: | 10.3102/1076998614558122 |
