Journal of Official Statistics, Vol.14, No.3, 1998. pp. 267275

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Determining Sample Sizes for Surveys with Data Analyzed by Hierarchical Linear Models

Behavioral and social data commonly have a nested structure (for example, students nested within schools). Recently techniques and computer programs have become available for dealing with such data, permitting the formulation of explicit hierarchical linear models with hypotheses about effects occurring at each level and across levels. An example is given where such models could be used. If data users are planning to analyze survey data using hierarchical linear models rather than concentrating on means, totals, and proportions, this needs to be accounted for in the survey design. The implications for determining sample sizes (for example, the number of schools in the sample and the number of students sampled within each school) are explored.

Multilevel; random effects; covariance components.

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