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ERIC Number: EJ1358550
Record Type: Journal
Publication Date: 2022
Pages: 19
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0022-0973
EISSN: EISSN-1940-0683
Available Date: N/A
Multilevel Item Response Model with Heterogeneous Within-Cluster Variances
Kara, Yusuf; Kamata, Akihito
Journal of Experimental Education, v90 n4 p962-980 2022
Within-cluster variance homogeneity is one of the key assumptions of multilevel models; however, assuming a constant (i.e. equal) within-cluster variance may not be realistic. Moreover, existent within-cluster variance heterogeneity should be regarded as a source of additional information rather than a violation of a model assumption. This study extends the three-level Rasch item response model to estimate cluster-specific variances as random effects adopting the Bayesian approach. Data analysis results provided empirical evidence for the possible violations of the within-cluster variance heterogeneity, as well as the utility of the proposed heterogeneous model. A small-scale simulation study conducted to provide information about the estimation efficiency of the model parameters with varying degrees of within-cluster variance heterogeneity.
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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
Author Affiliations: N/A