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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
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  Data: 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.
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