Confidence interval about the response at the stationary point of a response surface, with an application to preclinical cancer therapy

Biometrics. 1984 Dec;40(4):1125-30.

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.

Publication types

  • Comparative Study

MeSH terms

  • Animals
  • Antineoplastic Agents / administration & dosage
  • Biometry / methods*
  • Drug Evaluation, Preclinical
  • Drug Synergism
  • Drug Therapy, Combination
  • Leukemia L1210 / drug therapy
  • Mice
  • Therapeutics*

Substances

  • Antineoplastic Agents