Another Look at Rotatability

Norman R. Draper · Friedrich Pukelsheim

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Optimal Experimental Design Methods Statistical Methods and Applications Advanced Statistical Methods and Models

Abstract

Rotatability is one of many desirable characteristics of a response-surface design. Recent work (Draper and Guttman 1988; Khuri 1988) has, for the first time, provided ways to measure “how rotatable” a design may be when it is not perfectly rotatable. This had previously been assessed by the viewing of tediously obtained contour diagrams. This article provides a criterion that is easy to compute and is invariant under design rotation. It also easily extends to higher degree models.

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1988Empirical Model Building and Response Surfaces 1957Multi-Factor Experimental Designs for Exploring Response Surfaces 1976Hybrid Designs for Quadratic Response Surfaces 1988A Measure of Rotatability for Response-Surface Designs

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1996An overview of design of experiments 2017A General Overview of Response Surface Methodology 2007New 3-level response surface designs constructed from incomplete block designs 1996Quantile plots of the prediction variance for response surface designs 2002Small response surface designs for metamodel estimation

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