Minimax D-optimal designs for the logistic model.
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 Sitter's (1992, Biometrics, 48, 1145-1155) 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.
King
J
J
Department of Biostatistics, University of California at Los Angeles, Los Angeles, California 90095-1772, USA.
Wong
W K
WK
D000465:Algorithms; D001172:Arthritis, Rheumatoid / Q000188:drug therapy; D001699:Biometry / Q000379:methods; D002986:Clinical Trials as Topic / Q000379:methods; D004305:Dose-Response Relationship, Drug; D015195:Drug Design; D006801:Humans; D015233:Models, Statistical; D011336:Probability; D012107:Research Design