Robust designs for probability estimation in binary response experiments

The purpose of this work is to investigate robust design problems for estimation of the response probability curve under binary response experiments with model uncertainty consideration. A minimax type of model robust design criterion, called WB-optimum in short is proposed, based on minimization of the maximum of the weighted squared probability bias function under two rival models. The corresponding design issues are investigated and results under the above design criterion for given rival models with several commonly seen symmetric links are presented.