Sample Variances for Several MINQ-Estimators in the One-way Classification

A generalization of Ahrens' (1965) formulas for sample variances is done, considering the case of MINQ-Estimators which may be biased. The formulas are generally valid, but are restricted for the sake of simplicity to those of the one-way classification. Some MINQ-Estimators are considered and their sample variances calculated.     

Unbalancedness and Efficiency in Estimating Components of Variance: MINQUE and ANOVA Procedure

We consider the one-way classification random model. Using a measure of unbalancedness some MINQ-Estimation procedures and ANOVA-procedure have been investigated with respect to their sensibility to unbalancedness. Further if we define the efficiency of a design N as the ratio of the MSE (.)'s of the balanced and the unbalanced case we obtain for three MINQE-procedures upper and lower bounds of the minimum efficiency.