An asymptotic confidence interval for the response at the stationary point of a quadratic response surface

Vernon M. Chinehilli; Walter H. Carter; Eleanor D. Campbell; Timothy J. Breen

doi:10.1080/10543409108835024

An asymptotic confidence interval for the response at the stationary point of a quadratic response surface

Vernon M. Chinehilli, Walter H. Carter, Eleanor D. Campbell, Timothy J. Breen

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3 Scopus citations

Abstract

The delta method is utilized to construct an asymptotic 100(1 - a)% confidence interval for the response at the stationary point of a quadratic response surface. The end-points of the interval can be found directly compared to other more computationally intense procedures that result in a conservative interval. The coverage probability associated with intervals constructed in this manner from studies with relatively small numbers of observations is investigated via a simulation study. Finally the methodology is illustrated with an example involving the evaluation of a combination of cytotoxic agents in the treatment of murine LI210 leukemia.

Original language	English (US)
Pages (from-to)	287-301
Number of pages	15
Journal	Journal of Biopharmaceutical Statistics
Volume	1
Issue number	2
DOIs	https://doi.org/10.1080/10543409108835024
State	Published - Jan 1 1991

All Science Journal Classification (ASJC) codes

Statistics and Probability
Pharmacology
Pharmacology (medical)

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An asymptotic confidence interval for the response at the stationary point of a quadratic response surface

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