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ERIC Number: EJ923898
Record Type: Journal
Publication Date: 2011-Jun
Pages: 16
Abstractor: As Provided
Reference Count: 41
ISSN: ISSN-0146-6216
Fitting IRT Models to Dichotomous and Polytomous Data: Assessing the Relative Model-Data Fit of Ideal Point and Dominance Models
Tay, Louis; Ali, Usama S.; Drasgow, Fritz; Williams, Bruce
Applied Psychological Measurement, v35 n4 p280-295 Jun 2011
This study investigated the relative model-data fit of an ideal point item response theory (IRT) model (the generalized graded unfolding model [GGUM]) and dominance IRT models (e.g., the two-parameter logistic model [2PLM] and Samejima's graded response model [GRM]) to simulated dichotomous and polytomous data generated from each of these models. The relative magnitudes of the adjusted "chi[superscript 2]/df" ratios for item pairs and item triples at the test level were used to evaluate fit. Two simulation studies were conducted, one for dichotomous data and the other for polytomous data. Relative fit of the ideal point and dominance models were compared with respect to different conditions: test length, sample size, and sample type. In many simulated conditions, it was found that comparing relative fits (using test-level doubles and triples adjusted "chi[superscript 2]/df" ratios) almost always consistently pointed to the correct IRT model. However, GGUM could fit dichotomous two-parameter logistic (2PL) data well when the scale length was short (i.e., 15 items); nevertheless, an examination of estimated GGUM item parameters clearly shows dominance item characteristics. Results of the simulation studies and implications are discussed. (Contains 3 tables and 1 figure.)
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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