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Confidence Interval about the Response at the Stationary Point of a Response Surface, with an Application to Preclinical Cancer Therapy

Walter H. Carter, Jr., Vernon M. Chinchilli, Eleanor D. Campbell and Galen L. Wapler
Biometrics
Vol. 40, No. 4 (Dec., 1984), pp. 1125-1130
DOI: 10.2307/2531164
Stable URL: http://www.jstor.org/stable/2531164
Page Count: 6
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Confidence Interval about the Response at the Stationary Point of a Response Surface, with an Application to Preclinical Cancer Therapy
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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.

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