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

W. H. Carter, V. M. Chinchilli, E. D. Campbell, G. L. Wampler

Research output: Contribution to journalArticle

18 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1125-1130
Number of pages6
JournalBiometrics
Volume40
Issue number4
DOIs
StatePublished - Dec 1984

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All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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