Response surface designs robust to missing observations

Munir Akhtar · Philip Prescott

43 citations0/0 files storedCommunications in Statistics - Simulation and Computation

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

Abstract

The effects of one or more missing values in a response surface design are examined and a number of robustness criteria considered. Central composite designs with a second order model are used to illustrate the selection of designs which are robust to one or two missing observations. These designs are compared with other designs such as rotatable designs and the outlier-robust designs of Box and Draper.

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References

1951On the Experimental Attainment of Optimum Conditions 1992On the Experimental Attainment of Optimum Conditions 1957Multi-Factor Experimental Designs for Exploring Response Surfaces 1959Optimum Designs in Regression Problems 1975Robust designs 1982Developments in the Design of Experiments, Correspondent Paper 1976Some Considerations in the Optimal Design of Experiments in Non-Optimal Situations 1979The robustness and optimality of response surface designs

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2011Multilevel Augmented Pairs Second-Order Response Surface Designs and Their Robustness to Missing Data

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