Sample sizes for experiments with multivariate repeated measures

Abstract

Procedures for determining sample size in multivariate repeated measures experiments are discussed. The focus is on designs with either one group or two independent groups of subjects, the point of departure being multivariate repeated measures. Determination of the minimum sample size required is based on power considerations associated with Hotelling's T ² and the F-test. We first consider procedures for determining sample size assuming an arbitrary covariance matrix. The special case where we assume that the transformed data have a multivariate spherical covariance matrix is also considered. Tables of the minimum sample sizes required for several hypotheses from multivariate analysis are presented.

Keywords:

• Sample size
• Multivariate repeated measures experiments
• Hotelling's T ² analysis
• F-distribution
• Power calculations