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

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

Research output: Contribution to journalArticle

18 Citations (Scopus)

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 - Jan 1 1984

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Chemotherapy
Response Surface
Stationary point
Therapy
Confidence interval
confidence interval
Hazards
Cancer
Confidence Intervals
Synergism
Cox Proportional Hazards Model
therapeutics
neoplasms
Confidence Region
Survival Data
synergism
Drug Combinations
Survival Analysis
Proportional Hazards Models
Pharmaceutical Preparations

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

Cite this

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Confidence interval about the response at the stationary point of a response surface, with an application to preclinical cancer therapy. / Carter, W. H.; Chinchilli, Vernon; Campbell, E. D.; Wampler, G. L.

In: Biometrics, Vol. 40, No. 4, 01.01.1984, p. 1125-1130.

Research output: Contribution to journalArticle

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