Bayesian Experimental Design: A Review

This paper reviews the literature on Bayesian experimental design, both for linear and nonlinear models. A uniied view of the topic is presented by putting experimental design in a decision theoretic framework. This framework justiies many optimality criteria, and opens new possibilities. Various design criteria become part of a single, coherent approach.

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[111]  Blaza Toman,et al.  Bayesian optimal experimental design for treatment—control comparisons in the presence of two-way heterogeneity , 1991 .

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[113]  Computing the optimal design for a calibration experiment , 1991 .

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[125]  Henry P. Wynn,et al.  Screening, predicting, and computer experiments , 1992 .

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[127]  S. F. Mousavi,et al.  An approach to the design of experiments for discriminating among alternative conceptual models , 1992 .

[128]  Bayesian robust experimental designs for the one-way analysis of variance , 1992 .

[129]  Andrej Pázman,et al.  Nonlinear experimental design based on the distribution of estimators , 1992 .

[130]  Dulal K. Bhaumik,et al.  Optimal data augmentation strategies for additive models , 1993 .

[131]  I. Verdinelli,et al.  Shannon Information and Bayesian Design for Prediction in Accelerated Life-Testing , 1993 .

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[133]  K. Chaloner,et al.  Optimum experimental designs for properties of a compartmental model. , 1993, Biometrics.

[134]  James L. Rosenberger,et al.  Experimental Designs for Model Discrimination , 1993 .

[135]  H. Dette Elfving's Theorem for $D$-Optimality , 1993 .

[136]  Giovanni Parmigiani,et al.  On Optimal Screening Ages , 1993 .

[137]  Joseph B. Kadane,et al.  Optimal Experimental Design for Another's Analysis , 1993 .

[138]  Kathryn Chaloner,et al.  A note on optimal Bayesian design for nonlinear problems , 1993 .

[139]  Giovanni Parmigiani,et al.  A Cost-Utility Analysis of Alternative Strategies in Screening for Breast Cancer , 1993 .

[140]  Isabella Verdinelli,et al.  Biased coin designs with a Bayesian bias , 1993 .

[141]  J. Gastwirth,et al.  Robust Bayesian experimental design and estimation for analysis of variance models using a class of normal mixtures , 1993 .

[142]  Nancy Flournoy,et al.  A Clinical Experiment in Bone Marrow Transplantation: Estimating a Percentage Point of a Quantal Response Curve , 1993 .

[143]  Weng Kee Wong,et al.  On the Equivalence of Constrained and Compound Optimal Designs , 1994 .

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[145]  Michael Jackson,et al.  Optimal Design of Experiments , 1994 .

[146]  Blaza Toman,et al.  Bayes Optimal Designs for Two- and Three-Level Factorial Experiments , 1994 .

[147]  Robert E. Kass,et al.  Some Diagnostics of Maximum Likelihood and Posterior Nonnormality , 1994 .

[148]  Anirban DasGupta,et al.  Uniform and subuniform posterior robustness: The sample size problem , 1994 .

[149]  D. Berry,et al.  Applications of Lindley Information Measure to the Design of Clinical Experiments , 1994 .

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[155]  Linda M. Haines,et al.  Bayesian D-optimal designs for the exponential growth model , 1995 .

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[157]  M. Clyde Bayesian Designs for Approximate Normality , 1995 .

[158]  Giovanni Parmigiani,et al.  Optimal Design for Heart Defibrillators , 1995 .

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[161]  S. Lohr Optimal Bayesian design of experiments for the one-way random effects model , 1995 .

[162]  Holger Dette,et al.  A note on Bayesian c- and D-optimal designs in nonlinear regression models , 1996 .

[163]  Eva Riccomagno,et al.  Experimental Design and Observation for Large Systems , 1996 .

[164]  B. Toman Bayesian Experimental Design for Multiple Hypothesis Testing , 1996 .

[165]  K. Chaloner,et al.  The Equivalence of Constrained and Weighted Designs in Multiple Objective Design Problems , 1996 .

[166]  Dongchu Sun,et al.  Bayesian design of experiment for quantal responses: What is promised versus what is delivered , 1996 .

[167]  M. L. Eaton,et al.  A predictive approach to the Bayesian design problem with application to normal regression models , 1996 .

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[169]  Holger Dette,et al.  Bayesian D-optimal designs for exponential regression models , 1997 .