High Breakdown Point Designs

A linear model is assumed where the experimental conditions are given by the experimenter so that they are without gross errors. For this situation we regard h-trimmed L_p-estimators which generalize the least median of squares estimator and the least trimmed squares estimators. The breakdown point of these estimators depends strongly on the underlying design and breakdown point maximizing estimators can be derived within these estimators. Also breakdown point maximizing designs can be derived. But these designs are often very different from the classically optimal designs which ensure efficiency also for robust procedures. Therefore we regard compromises providing high breakdown point and high efficiency designs.