George Box and the design of experiments: statistics and discovery

George Box was fascinated with how we make discoveries. His path-breaking contributions to experimental design made statistics an active partner in the process of discovery. Box introduced us to response surface methods, evolutionary operation, resolution and rotatability, projective properties and design robustness. He developed popular experimental plans like the central composite and Box-Behnken designs. He explored the consequences of imperfect models and derived D-optimal designs for experiments to estimate mechanistic models. Box's ideas grew from close collaborations with scientists and engineers and have been applied successfully in a wide range of disciplines. He has left an indelible stamp on the field of experimental design and on the practice of scientific investigation. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  G. Box,et al.  Projective properties of certain orthogonal arrays , 1996 .

[2]  W. DuMouchel,et al.  A simple Bayesian modification of D-optimal designs to reduce dependence on an assumed model , 1994 .

[3]  G. Box,et al.  THE CHOICE OF A SECOND ORDER ROTATABLE DESIGN , 1963 .

[4]  George E. P. Box,et al.  Empirical Model‐Building and Response Surfaces , 1988 .

[5]  G. Box.  Science and Statistics , 1976 .

[6]  David M. Steinberg,et al.  Comparison of designs for computer experiments , 2006 .

[7]  George E. P. Box.  Choice of Response Surface Design and Alphabetic Optimality. , 1982 .

[8]  Dennis K. J. Lin,et al.  Projection properties of Plackett and Burman designs , 1992 .

[9]  J. S. Hunter,et al.  The 2 k—p Fractional Factorial Designs Part I , 2000, Technometrics.

[10]  D. Steinberg.  Model robust response surface designs: Scaling two-level factorials , 1985 .

[11]  George E. P. Box,et al.  Simplex-Sum Designs: A Class of Second Order Rotatable Designs Derivable From Those of First Order , 1960 .

[12]  D. J. Finney.  THE FRACTIONAL REPLICATION OF FACTORIAL ARRANGEMENTS , 1943 .

[13]  Joseph G. Voelkel,et al.  The Efficiencies of Fractional Factorial Designs , 2005, Technometrics.

[14]  J. S. Hunter,et al.  Multi-Factor Experimental Designs for Exploring Response Surfaces , 1957 .

[15]  G. Box,et al.  SIXTEEN RUN DESIGNS OF HIGH PROJECTIVITY FOR FACTOR SCREENING , 2001 .

[16]  R. Plackett,et al.  THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS , 1946 .

[17]  G. Box,et al.  On the Experimental Attainment of Optimum Conditions , 1951 .

[18]  G. Box.  An Accidental Statistician: The Life and Memories of George E. P. Box , 2013 .

[19]  H. L. Lucas,et al.  DESIGN OF EXPERIMENTS IN NON-LINEAR SITUATIONS , 1959 .

[20]  G. Box.  The Exploration and Exploitation of Response Surfaces: Some General Considerations and Examples , 1954 .

[21]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[22]  William J. Hill,et al.  Discrimination Among Mechanistic Models , 1967 .

[23]  George E. P. Box,et al.  The Importance of Practice in the Development of Statistics , 1984 .

[24]  Irwin Guttman,et al.  An index of rotatability , 1988 .

[25]  N. Draper,et al.  Treating bias as variance for experimental design purposes , 1992 .

[26]  G. Box,et al.  A Basis for the Selection of a Response Surface Design , 1959 .

[27]  David M. Steinberg,et al.  Response Surface Methodology in Biotechnology , 2010 .

[28]  George E. P. Box,et al.  Quality Quandaries:THE INVENTION OF THE COMPOSITE DESIGN , 1999 .

[29]  Anthony C. Atkinson,et al.  Optimum Experimental Designs , 1992 .

[30]  George E. P. Box,et al.  Evolutionary Operation: a Method for Increasing Industrial Productivity , 1957 .

[31]  George E. P. Box,et al.  Statistics as a catalyst to learning by scientific method , 1999 .

[32]  Rabindra Nath Das,et al.  A measure of robust slope-rotatability for second-order response surface experimental designs , 2009 .

[33]  G. Box,et al.  Some New Three Level Designs for the Study of Quantitative Variables , 1960 .

[34]  Norman R. Draper,et al.  Another look at rotatability , 1990 .

[35]  Dennis K. J. Lin,et al.  Statistics for Experimenters: Design, Innovation, and Discovery, Second Edition , 2006 .

[36]  Yasumasa Baba,et al.  A measure of rotatability for second order response surface designs , 1993 .

[37]  H. Chernoff.  Locally Optimal Designs for Estimating Parameters , 1953 .

[38]  Ching-Shui Cheng,et al.  Some hidden projection properties of orthogonal arrays with strength three , 1998 .

[39]  J. S. Hunter,et al.  Statistics for Experimenters: An Introduction to Design, Data Analysis, and Model Building. , 1979 .

[40]  J. S. Hunter,et al.  The 2 k — p Fractional Factorial Designs , 1961 .

[41]  George E. P. Box,et al.  The 2 k — p Fractional Factorial Designs Part II. , 1961 .

[42]  G. Box,et al.  The Exploration and Exploitation of Response Surfaces: An Example of the Link between the Fitted Surface and the Basic Mechanism of the System , 1955 .

[43]  Hélia Harumi Sato,et al.  Optimization of medium composition for transglutaminase production by a Brazilian soil Streptomyces sp. , 2007 .

[44]  R. H. Myers,et al.  Graphical assessment of the prediction capability of response surface designs , 1989 .