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Minimax D-optimal designs for the logistic model. (English) Zbl 1060.62545
Summary: We propose an algorithm for constructing minimax D-optimal designs for the logistic model when only the ranges of the values for both parameters are assumed known. Properties of these designs are studied and compared with optimal Bayesian designs and R. R. Sitter’s [Biometrics, 48, 1145–1155 (1992)] minimax D-optimal \(kk\)-designs. Examples of minimax D-optimal designs are presented for the logistic and power logistic models, including a dose-response design for rheumatoid arthritis patients.

MSC:
62K05 Optimal statistical designs
62P10 Applications of statistics to biology and medical sciences; meta analysis
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