title: Confidence interval about the response at the stationary point of a response surface, with an application to preclinical cancer therapy.
abstract: A method of calculating a confidence interval about the response at the stationary point of a response surface is presented. We show that the technique can also be used to calculate a confidence region about the location of the stationary point. The procedure is applied, via Cox's proportional-hazards model, to the analysis of survival data from a preclinical cancer chemotherapy experiment involving the combination of two drugs. It is seen that the results can be useful in determining the existence of a therapeutic synergism.
mesh_terms: D000818:Animals; D000970:Antineoplastic Agents / Q000008:administration & dosage; D001699:Biometry / Q000379:methods*; D004353:Drug Evaluation, Preclinical; D004357:Drug Synergism; D004359:Drug Therapy, Combination; D007939:Leukemia L1210 / Q000188:drug therapy; D051379:Mice; D013812:Therapeutics
chemical_list: D000970:Antineoplastic Agents