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On the role of MINQUE in testing of hypotheses under mixed linear models. (English) Zbl 0655.62074

From the summary: Testing of hypotheses under balanced ANOVA models is fairly simple and generally based on the usual ANOVA sums of squares. Difficulties may arise in special cases when these sums of squares do not form a complete sufficient statistic. There is a huge amount of literature on this subject, but there are only few results about unbalanced models. In such models the consideration of likelihood ratios leads to more complex sums of squares known from MINQUE theory. Uniform optimality of tests usually reduces to local optimality. Here we present a small review of methods proposed for testing hypotheses in unbalanced models, where MINQUE plays a major role.

MSC:

62J10 Analysis of variance and covariance (ANOVA)
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References:

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