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

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

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)287-301
Number of pages15
JournalJournal of Biopharmaceutical Statistics
Volume1
Issue number2
DOIs
StatePublished - Jan 1 1991

Fingerprint

Response Surface
Stationary point
Confidence interval
Confidence Intervals
Interval
Cytotoxins
Delta Method
Leukemia
Coverage Probability
End point
Simulation Study
Methodology
Evaluation

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Pharmacology
  • Pharmacology (medical)

Cite this

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An asymptotic confidence interval for the response at the stationary point of a quadratic response surface. / Chinchilli, Vernon; Carter, Walter H.; Campbell, Eleanor D.; Breen, Timothy J.

In: Journal of Biopharmaceutical Statistics, Vol. 1, No. 2, 01.01.1991, p. 287-301.

Research output: Contribution to journalArticle

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