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Optimal crossover designs for the proportional model. (English) Zbl 1277.62191

Ann. Stat. 41, No. 4, 2218-2235 (2013); appendix ibid. 41, No. 4, 2 p. (2013).
Summary: In crossover design experiments, the proportional model, where the carryover effects are proportional to their direct treatment effects, has draw attentions in recent years. We discover that the universally optimal design under the traditional model is an E-optimal design under the proportional model. Moreover, we establish equivalence theorems of Kiefer-Wolfowitz’s type for four popular optimality criteria, namely A, D, E and T (trace).

MSC:

62K05 Optimal statistical designs
62J99 Linear inference, regression
62J05 Linear regression; mixed models
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References:

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