Abstract

A measure of imbalance has been defined for the one-way classification (Model II) in order to quantify the degree of imbalance. Using the ANOVA and MINQUE procedures we consider the variances and relative efficiencies of the estimators of σ2a as functions of the measure of imbalance. We propose a method for generating all the designs which are possible from a given number of observations and a given number of groups. Numerical results for special types of designs show the influence of imbalance on the variance and relative efficiency of an estimator for σza.

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