E- and R-optimality of block designs for treatment-control comparisons

Samuel Rosa

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 21, 5233-5244

Abstract: We study optimal block designs for comparing a set of test treatments with a control treatment. We provide the class of all E-optimal approximate block designs, which is characterized by simple linear constraints. Based on this characterization, we obtain a class of E-optimal exact designs for unequal block sizes. In the studied model, we provide a statistical interpretation for wide classes of E-optimal designs. Moreover, we show that all approximate A-optimal designs and a large class of A-optimal exact designs for treatment-control comparisons are also R-optimal. This reinforces the observation that A-optimal designs perform well even for rectangular confidence regions.

Date: 2019
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DOI: 10.1080/03610926.2018.1508720

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