# zbMATH — the first resource for mathematics

Summary: We construct experimental designs for dose-response studies. The designs are robust against possibly misspecified link functions; for this they minimize the maximum mean-squared error of the estimated dose required to attain a response in 100$$p$$% of the target population. Here $$p$$ might be one particular value – $$p=0.5$$ corresponds to $$\mathrm{ED}_{50}$$-estimation – or it might range over an interval of values of interest. The maximum of the mean-squared error is evaluated over a Kolmogorov neighbourhood of the fitted link. Both the maximum and the minimum must be evaluated numerically; the former is carried out by quadratic programming and the latter by simulated annealing.