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Sequential Designs for Binary Data with the Purpose to Maximize the Probability of Response
Authors:Ellinor Fackle Fornius
Institution:1. Department of Statistics , Stockholm University , Stockholm, Sweden ellinor.fackle-fornius@stat.su.se
Abstract:Two kinds of sequential designs are proposed for finding the point that maximizes the probability of response assuming a binary response variable and a quadratic logistic regression model. One is a parametric optimal design approach, and the other one is a nonparametric stochastic approximation approach. The suggested sequential designs are evaluated and compared in a simulation study. In summary, the parametric approach performed very well whereas its competitor failed in some cases.
Keywords:c-optimal design  Quadratic logistic model  Response Surface Methodology  Sequential design  Stochastic approximation
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