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ERIC Number: EJ948044
Record Type: Journal
Publication Date: 2011-Dec
Pages: 20
Abstractor: As Provided
Reference Count: 24
ISSN: ISSN-0013-1644
Performance of the S - [chi][squared] Statistic for Full-Information Bifactor Models
Li, Ying; Rupp, Andre A.
Educational and Psychological Measurement, v71 n6 p986-1005 Dec 2011
This study investigated the Type I error rate and power of the multivariate extension of the S - [chi][squared] statistic using unidimensional and multidimensional item response theory (UIRT and MIRT, respectively) models as well as full-information bifactor (FI-bifactor) models through simulation. Manipulated factors included test length, sample size, latent trait characteristics such as discrimination pattern and intertrait correlations, and model type misspecification. The nominal Type I error rates were observed under all conditions. The power of the S - [chi][squared] statistic for UIRT models was high for MIRT and FI-bifactor models that were structurally most distinct from the UIRT models but was low otherwise. The power of the S - [chi][squared] statistic to detect misfitting between MIRT and FI-bifactor models was low across all conditions because of the structural similarity of these two models. Finally, information-based indices of relative model-data fit and latent variable correlations were obtained, and these showed expected patterns across conditions. (Contains 1 note and 13 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