ERIC Number: EJ1197117
Record Type: Journal
Publication Date: 2018-Dec
Pages: 30
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1076-9986
EISSN: N/A
An Information Matrix Test for the Collapsing of Categories under the Partial Credit Model
Harel, Daphna; Steele, Russell J.
Journal of Educational and Behavioral Statistics, v43 n6 p721-750 Dec 2018
Collapsing categories is a commonly used data reduction technique; however, to date there do not exist principled methods to determine whether collapsing categories is appropriate in practice. With ordinal responses under the partial credit model, when collapsing categories, the true model for the collapsed data is no longer a partial credit model, and therefore refitting a partial credit model may result in model misspecification. This article details the implementation and performance of an information matrix test (IMT) to assess the implications of collapsing categories for a given data set under the partial credit model and compares its performance to the application of a nominal response model (NRM) and the S - X[superscript 2] goodness-of-fit statistic. The IMT and NRM-based test are able to correctly determine the true number of categories for an item, given reasonable power through this goodness-of-fit test. We conclude by applying the test to a well-studied data set from the literature.
Descriptors: Matrices, Models, Item Response Theory, Research Methodology, Classification, Data Analysis, Goodness of Fit, Simulation
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A