Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/34624 
Year of Publication: 
2007
Series/Report no.: 
IZA Discussion Papers No. 3178
Publisher: 
Institute for the Study of Labor (IZA), Bonn
Abstract: 
Multilevel models are widely used in education and social science research. However, the effects of omitting levels of the hierarchy on the variance decomposition and the clustering effects have not been well documented. This paper discusses how omitting one level in three-level models affects the variance decomposition and clustering in the resulting two-level models. Specifically, I used the ANOVA framework and provided results for simple models that do not include predictors and assumed balanced nested data (or designs). The results are useful for teacher and school effects research as well as for power analysis during the designing stage of a study. The usefulness of the methods is demonstrated using data from Project STAR.
Subjects: 
Variance decomposition
nested designs
clustering
JEL: 
C00
Document Type: 
Working Paper

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