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The Stata Journal
Volume 14 Number 1: pp. 159-175



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Sample size and power calculations for trials and quasi-experimental studies with clustering

Evridiki Batistatou
Institute of Population Health
Centre for Epidemiology
University of Manchester
Manchester, UK
evridiki.batistatou@manchester.ac.uk
Chris Roberts
Institute of Population Health
Centre for Biostatistics
University of Manchester
Manchester, UK
chris.roberts@manchester.ac.uk
Steve Roberts
Institute of Population Health
Centre for Biostatistics
University of Manchester
Manchester, UK
steve.roberts@manchester.ac.uk
Abstract.  This article considers the estimation of power and sample size in experimental and quasi-experimental intervention studies, where there is clustering of subjects within one or both intervention arms, for both continuous and binary outcomes. A new command, clsampsi, which has a wide range of options, calculates the power and sample size needed (that is, the number of clusters and cluster size) by using the noncentral F distribution as described by Moser, Stevens, and Watts (1989, Communications in Statistics—Theory and Methods 18: 3963–3975). For comparative purposes, this command can also produce power and sample-size estimates on the basis of existing methods that use a normal approximation.
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