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- W2097508716 abstract "Quadratic response surface methodology often focuses on finding the levels of some (coded) predictor variables x = (x l, x 2, …, x k ) that optimize the expected value of a response variable y. Typically the experimenter starts from some best guess or “control” combination of the predictors (usually coded to x = 0) and performs an experiment varying them in a region around this center point. The question of interest addressed here is whether any x in the experimental region provides an E(Y) preferable to that of the control, and if so, by what amount? This article approaches the question via simultaneous confidence intervals for E(y|x)-E(y|0) for all x within a specified distance of 0. Exact results for the quadratic regression case (k = 1) are obtained using existing results for linear regression. A conservative solution for rotatable designs in k > 1 predictors is obtained using a result of Casella and Strawderman. Several examples are provided." @default.
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- W2097508716 date "1993-11-01" @default.
- W2097508716 modified "2023-09-30" @default.
- W2097508716 title "Multiple Comparisons With a Control in Response Surface Methodology" @default.
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- W2097508716 doi "https://doi.org/10.1080/00401706.1993.10485357" @default.
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