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Comparison of Within‐Subject Covariance Matrices in 2 × 2 Crossover Trials with Multivariate Response

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  • Niclas Sjögren
  • Olivier Guilbaud

Abstract

. In a multivariate framework, it is shown how the two treatments in a 2 × 2 crossover trial with multivariate response can be compared with respect to mean vectors, i.e. fixed treatment effects, as well as within‐subject covariance matrices, marginally and simultaneously. No distributional assumption is made about the between‐subject variability, whereas multivariate normality is assumed for the within‐subject variability. The proposed exact statistical inferences are valid even with few subjects. Data from a crossover trial with bivariate response are analysed with the proposed multivariate methods as well as with univariate methods.

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  • Niclas Sjögren & Olivier Guilbaud, 2004. "Comparison of Within‐Subject Covariance Matrices in 2 × 2 Crossover Trials with Multivariate Response," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 31(4), pages 603-612, December.
    • Handle: RePEc:bla:scjsta:v:31:y:2004:i:4:p:603-612
    DOI: 10.1111/j.1467-9469.2004.00409.x
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