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The process of discovery in science and technology may require investigation of a large number of features, such as factors, genes or molecules. In Screening, designed experiments and statistical analyses of the resulting data sets are used to identify efficiently the few features that determine key properties of the system under study. This book brings together accounts by leading international experts that are essential reading for those working in fields such as industrial quality improvement, engineering research and development, genetic and medical screening, drug discovery, and computer simulation of manufacturing systems or economic models. Our aim is to promote cross-fertilization of ideas and methods through detailed explanations, a variety of examples and extensive references. Topics cover both physical and computer simulated experiments. They include screening methods for detecting factors that affect the value of a response or its variability, and for choosing between various different response models. Screening for disease in blood samples, for genes linked to a disease and for new compounds in the search for effective drugs are also described. Statistical techniques include Bayesian and frequentist methods of data analysis, algorithmic methods for both the design and analysis of experiments, and the construction of fractional factorial designs and orthogonal arrays. The material is accessible to graduate and research statisticians, and to engineers and chemists with a working knowledge of statistical ideas and techniques. It will be of interest to practitioners and researchers who wish to learn about useful methodologies from within their own area as well as methodologies that can be translated from one area to another.

Preface 1. An Overview of Industrial Screening Experiments 1 Douglas C. Montgomery and Cheryl L. Jennings 2. Screening Experiments for Dispersion Effects 21 Dizza Bursztyn and David M. Steinberg 3. Pooling Experiments for Blood Screening and Drug Discovery 48 Jacqueline M. Hughes-Oliver 4. Pharmaceutical Drug Discovery: Designing the Blockbuster Drug 69 David Jesse Cummins 5. Design and Analysis of Screening Experiments with Microarrays 115 Paola Sebastiani, Joanna Jeneralczuk, and Marco F. Ramoni 6. Screening for Differential Gene Expressions from Microarray Data 139 Jason C. Hsu, Jane Y. Chang, and Tao Wang 7. Projection Properties of Factorial Designs for Factor Screening 156 Ching-Shui Cheng 8. Factor Screening via Supersaturated Designs 169 Steven G. Gilmour 9. An Overview of Group Factor Screening 191 Max D. Morris 10. Screening Designs for Model Selection 207 William Li 11. Prior Distributions for Bayesian Analysis of Screening Experiments 235 Hugh Chipman 12. Analysis of Orthogonal Saturated Designs 268 Daniel T. Voss and Weizhen Wang 13. Screening for the Important Factors in Large Discrete-Event Simulation Models: Sequential Bifurcation and Its Applications 287 Jack P. C. Kleijnen, Bert Bettonvil, and Fredrik Persson 14. Screening the Input Variables to a Computer Model Via Analysis of Variance and Visualization 308 Matthias Schonlau and William J. Welch Index 328

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