Best unbiased estimates for parameters of three-level multivariate data with doubly exchangeable covariance structure. (English) Zbl 1376.62035

Summary: The article addresses the best unbiased estimators of doubly exchangeable covariance structure, an extension of block exchangeable covariance structure, for three-level multivariate data. Under multivariate normality, the free-coordinate approach is used to obtain linear and quadratic estimates for the model parameters that are unbiased, sufficient, complete and consistent. Data from a clinical trial study is analyzed to illustrate the application of the obtained results.


62H12 Estimation in multivariate analysis
62J10 Analysis of variance and covariance (ANOVA)
62P10 Applications of statistics to biology and medical sciences; meta analysis
Full Text: DOI


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