Standard Errors and Sample Sizes for Two-Level Research

Tom A. B. Snijders and Roel J. Bosker

Journal of Educational and Behavioral Statistics, 1993, vol. 18, issue 3, 237-259

Abstract: The hierarchical linear model approach to a two-level design is considered, some variables at the lower level having fixed and others having random regression coefficients. An approximation is derived to the covariance matrix of the estimators of the fixed regression coefficients (for variables at the lower and the higher level) under the assumption that the sample sizes at either level are large enough. This covariance matrix is expressed as a function of parameters occurring in the model. If a research planner can make a reasonable guess as to these parameters, this approximation can be used as a guide to the choice of sample sizes at either level.

Keywords: hierarchical linear model; multilevel research; sample design (search for similar items in EconPapers)
Date: 1993
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:18:y:1993:i:3:p:237-259

DOI: 10.3102/10769986018003237

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