An overview of design of experiments

An overview of the design of statistical experiments is presented, with special emphasis on response surface designs, block designs, neighbor designs. Applications are mentioned for industrial quality improvement, agricultural experiments, biometry. An outlook towards design optimality concludes the survey.

[1]  R Fisher,et al.  Design of Experiments , 1936 .

[2]  R. A. Fisher,et al.  Statistical Tables for Biological, Agricultural and Medical Research , 1956 .

[3]  R. Plackett.  Some Generalizations in the Multifactorial Design , 1946 .

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

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

[6]  G. Elfving.  Optimum Allocation in Linear Regression Theory , 1952 .

[7]  R. M. Williams.  EXPERIMENTAL DESIGNS FOR SERIALLY CORRELATED OBSERVATIONS , 1952 .

[8]  O. L. Davies,et al.  The Design and Analysis of Experiments , 1953 .

[9]  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 .

[10]  J. S. Hunter,et al.  MULTIFACTOR EXPERIMENTAL DESIGN FOR EXPLORING THE RESPONSE SURFACES , 1957 .

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

[12]  H. Scheffé.  Experiments with Mixtures , 1958 .

[13]  W. H. Clatworthy.  Contributions on Partially Balanced Incomplete Block Designs with Two Associate Classes , 1960 .

[14]  H. Scheffé.  The Simplex‐Centroid Design for Experiments with Mixtures , 1963 .

[15]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[16]  G. Box.  An analysis of transformations (with discussion) , 1964 .

[17]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[18]  D. Raghavarao.  Constructions and Combinatorial Problems in Design of Experiments , 1971 .

[19]  B. Efron.  Forcing a sequential experiment to be balanced , 1971 .

[20]  V. Kurotschka.  Optimale Versuchspläne bei zweifach klassifizierten Beobachtungsmodellen , 1971 .

[21]  Leslie N. Balaam,et al.  Bibliography on experiment and treatment design, pre-1968 , 1972 .

[22]  W. J. Studden,et al.  Theory Of Optimal Experiments , 1972 .

[23]  G. V. Dyke,et al.  Comparative experiments with field crops , 1989 .

[24]  I. I. Berenblut,et al.  Experimental design in the presence of autocorrelated errors , 1974 .

[25]  W. H. Clatworthy,et al.  Tables of two-associate-class partially balanced designs , 1975 .

[26]  Cuthbert Daniel,et al.  Applications of Statistics to Industrial Experimentation: Daniel/Applications , 1976 .

[27]  Cuthbert Daniel.  Applications of Statistics to Industrial Experimentation , 1976 .

[28]  S. Addelman.  Statistics for experimenters , 1978 .

[29]  S. Silvey,et al.  An algorithm for optimal designs on a design space , 1978 .

[30]  H. Wynn,et al.  The Convergence of General Step-Length Algorithms for Regular Optimum Design Criteria , 1978 .

[31]  Ching-Shui Cheng,et al.  Optimal Designs for the Elimination of Multi-Way Heterogeneity , 1978 .

[32]  D. M. Titterington,et al.  Aspects of Optimal Design in Dynamic Systems , 1980 .

[33]  O. Krafft.  Lineare statistische Modelle und optimale Versuchspläne , 1980 .

[34]  H. Toutenburg.  Bandemer, H. / Näther, W., Theorie und Anwendung der optimalen Versuchsplanung II, Handbuch zur Anwendung, Mathematische Monographien 48, Berlin, Akademie-Verlag 1980, XII, 590 S., 86,– M. BN 7623192 (6215/2) , 1981 .

[35]  W. Edwards Deming,et al.  Out of the Crisis , 1982 .

[36]  W. J. Studden.  Some Robust-Type D-Optimal Designs in Polynomial Regression , 1982 .

[37]  Ching-Shui Cheng.  Construction of Optimal Balanced Incomplete Block Designs for Correlated Observations , 1983 .

[38]  J. Kiefer,et al.  Optimum and Minimax Exact Treatment Designs for One-Dimensional Autoregressive Error Processes , 1984 .

[39]  J. Kunert.  Optimal repeated measurements designs for correlated observations and analysis by weighted least squares , 1985 .

[40]  P. S. Gill,et al.  Efficiency of nearest neighbour balanced block designs for correlated observations , 1985 .

[41]  I. Olkin,et al.  Collected Papers III , 1985 .

[42]  R. Bailey.  Restricted Randomization versus Blocking , 1985 .

[43]  Andrej Pázman,et al.  Foundations of Optimum Experimental Design , 1986 .

[44]  R. J. Martin.  On the design of experiments under spatial correlation , 1986 .

[45]  N. Gaffke.  On D-optimality of exact linear regression designs with minimum support , 1986 .

[46]  G. Constantine.  Combinatorial theory and statistical design , 1987 .

[47]  A. Street,et al.  Combinatorics of experimental design , 1987 .

[48]  R. J. Martin,et al.  On the optimality of finite Williams II(a) designs , 1987 .

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

[50]  J A John,et al.  Cyclic Designs , 1987 .

[51]  Christopher J. Nachtsheim,et al.  Tools for Computer-Aided Design of Experiments , 1987 .

[52]  A. Hedayat,et al.  Recent Discoveries on Optimal Designs for Comparing Test Treatments with Controls. , 1987 .

[53]  J. Kunert.  Neighbour balanced block designs for correlated errors , 1987 .

[54]  Douglas M. Bates,et al.  Nonlinear Regression Analysis and Its Applications , 1988 .

[55]  A. Khuri.  A measure of rotatability for response-surface designs , 1988 .

[56]  I. Chakravarti,et al.  Block Designs for First and Second Order Neighbor Correlations , 1988 .

[57]  André I. Khuri,et al.  Response surface methodology: 1966–1988 , 1989 .

[58]  Marilyn Hwan,et al.  Quality through design , 1989 .

[59]  K. R. Shah,et al.  Theory of Optimal Designs , 1989 .

[60]  Peter W. M. John.  Statistical Methods in Engineering and Quality Assurance , 1990 .

[61]  E. Ziegel.  Statistical Design and Analysis of Industrial Experiments , 1990 .

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

[63]  Noel A Cressie,et al.  Using spatial considerations in the analysis of experiments , 1991 .

[64]  B. Heiligers.  A note on connectedness of block designs , 1991 .

[65]  Kwok-Leung Tsui,et al.  Economical experimentation methods for robust design , 1991 .

[66]  F. Pukelsheim,et al.  First and second order rotatability of experimental designs, moment matrices, and information surfaces , 1991 .

[67]  H. Dette.  OPTIMAL DESIGNS FOR A CLASS OF POLYNOMIALS OF ODD OR EVEN DEGREE , 1992 .

[68]  G. Geoffrey Vining,et al.  Taguchi's parameter design: a panel discussion , 1992 .

[69]  J. Cornell,et al.  Experiments with Mixtures , 1992 .

[70]  R. Mathar,et al.  On a class of algorithms from experimental design theory , 1992 .

[71]  Markus Abt.  Some exact optimal designs for linear covariance functions in one dimension , 1992 .

[72]  Michael S. Saccucci,et al.  Engineering, Quality and Experimental Design , 1992 .

[73]  Rory A. Fisher,et al.  The Arrangement of Field Experiments , 1992 .

[74]  R. H. Hardin,et al.  A new approach to the construction of optimal designs , 1993 .

[75]  F. Pukelsheim.  Optimal Design of Experiments , 1993 .

[76]  Noel A Cressie,et al.  Statistics for Spatial Data. , 1992 .

[77]  W. Bischoff.  On D-optimal designs for linear models under correlated observations with an application to a linear model with multiple response , 1993 .

[78]  Andrew L. Rukhin.  Bayesian Estimation and Experimental Design in Linear Regression Models (Jürgen Pilz) , 1993, SIAM Rev..

[79]  David Banks,et al.  Is Industrial Statistics Out of Control , 1993 .

[80]  R. Mead,et al.  Statistical Methods in Agriculture and Experimental Biology , 1994 .

[81]  F. Pukelsheim,et al.  On third order rotatability , 1994 .

[82]  P. Laycock,et al.  Optimum Experimental Designs , 1995 .

[83]  V. Fedorov,et al.  Invited Discussion Paper Constrained Optimization of Experimental Design , 1995 .

[84]  A. Wilhelm.  Subdifferentiability and lipschitz continuity in experimental design problems , 1995 .

[85]  Yves L. Grize,et al.  A review of robust process design approaches , 1995 .

[86]  R. H. Myers,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[87]  A. Wilhelm.  COMPUTING OPTIMAL DESIGNS BY BUNDLE TRUST METHODS , 1997 .