Confidence Regions for Constrained Optima in Response-Surface Experiments

Publication Type
Journal Article
Year of Publication
1983
Authors
Stablein, D M; Carter, W H; Wampler, G L
Secondary
Biometrics
Volume
39
Start Page
759
Pagination
759-763
Date Published
09/1983
Keywords
Antineoplastic Combined Chemotherapy Protocols; Fluorouracil; Humans; Statistics as Topic; Teniposide
Abstract

The precision of the estimated optimum from a response-surface experiment is often indicated via a confidence region about the optimum. Sometimes, because of associated secondary responses, unconstrained optima produce unrealistic operating conditions, even when the true response surface is known. We consider confidence intervals for constrained optima for which the constraint function is known or separately estimated. An example from a cancer combination chemotherapy experiment illustrates the construction of such a region.