An asymptotic confidence interval for the response at the stationary point of a quadratic response surface
1991
The delta method is utilized to construct an asymptotic 100(1 – α) 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.
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