title: An asymptomatic confidence interval for the response at the stationary point of a quadratic response surface.
abstract: The delta method is utilized to construct an asymptotic 100(1 - alpha)% 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 L1210 leukemia.
authors.affiliation: Department of Biostatistics, Virginia Commonwealth University, Richmond 23298-0032.
authors.forename: V M
authors.initials: VM
authors.lastname: Chinchilli
authors.forename: W H
authors.initials: WH
authors.lastname: Carter
authors.forename: T J
authors.initials: TJ
authors.lastname: Breen
authors.forename: E D
authors.initials: ED
authors.lastname: Campbell
mesh_terms: D000818:Animals; D003198:Computer Simulation; D016001:Confidence Intervals; D004359:Drug Therapy, Combination; D008954:Models, Biological; D015233:Models, Statistical; D012107:Research Design / Q000706:statistics & numerical data