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On the choice of optimality criteria in comparing statistical designs. (English) Zbl 0691.62067
Summary: We formulate in a reasonable sense a class of optimality functionals for comparing feasible statistical designs available in a given setup. It is desired that the optimality functionals reflect symmetric measures of the lack of information contained in the designs being compared. In view of this, J. Kiefer’s [Surv. Stat. Des. Lin. Models, Int. Symp. Fort Collins 1973, 333-353 (1975; Zbl 0313.62057)] universal optimality criterion is seen to rest on stringent conditions, some of which can be relaxed while preserving optimality (in an extended sense) of the so- called balanced designs.

62K05 Optimal statistical designs
Full Text: DOI
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