ERIC Number: EJ1134150
Record Type: Journal
Publication Date: 2017-Apr
Abstractor: As Provided
Comparing Between- and Within-Group Variances in a Two-Level Study: A Latent Variable Modeling Approach to Evaluating Their Relationship
Raykov, Tenko; Marcoulides, George A.; Akaeze, Hope O.
Educational and Psychological Measurement, v77 n2 p351-361 Apr 2017
This note is concerned with examining the relationship between within-group and between-group variances in two-level nested designs. A latent variable modeling approach is outlined that permits point and interval estimation of their ratio and allows their comparison in a multilevel study. The procedure can also be used to test various hypotheses about the discrepancy between these two variances and assist with their relationship interpretability in empirical investigations. The method can also be utilized as an addendum to point and interval estimation of the popular intraclass correlation coefficient in hierarchical designs. The discussed approach is illustrated with a numerical example.
Descriptors: Comparative Analysis, Models, Statistical Analysis, Hierarchical Linear Modeling, Hypothesis Testing, Computation, Correlation
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Publication Type: Journal Articles; Reports - Research
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