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Minimax D‐Optimal Designs for the Logistic Model
Author(s) -
King Joy,
Wong WengKee
Publication year - 2000
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.2000.01263.x
Subject(s) - minimax , optimal design , logistic regression , mathematics , bayesian probability , mathematical optimization , biometrics , computer science , statistics , artificial intelligence
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 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.