Planning Experiments for Discriminating between Models

Anthony C. Atkinson · David Roxbee Cox

131 citations0/0 files storedJournal of the Royal Statistical Society Series B (Statistical Methodology)

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

Abstract

Summary Results in the theory of optimum regression designs are used to develop experimental designs for discriminating between several regression models. An extension of the Kiefer–Wolfowitz general equivalence theorem is used to establish properties of the procedures. A sequential data-dependent strategy is described and its properties investigated for specific examples. In conclusion, some difficulties in the Bayesian analysis of discrimination experiments are considered.

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References

1972Theory of Optimal Experiments.1970Uniform Shell Designs 1970The Sequential Generation of $D$-Optimum Experimental Designs 1967Discrimination Among Mechanistic Models 1973Some General Points in the Theory of Optimal Experimental Design 1992Sequential Design of Experiments 1972Results in the Theory and Construction of D -Optimum Experimental Designs 1965Designs for Discriminating Between Two Rival Models

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2010Optimal experimental design 1996Follow-Up Designs to Resolve Confounding in Multifactor Experiments 1989The construction of exact D-optimum experimental designs with application to blocking response surface designs 1978A Review of Experimental Design Procedures for Regression Model Discrimination 1982Model Robust, Linear-Optimal Designs 2005Experiment selection for the discrimination of semi-quantitative models of dynamical systems

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