Bayesian Experimental Design: A Review

A Mathematical Theory of Communication

1948 • 73,365 citations

Statistical Decision Theory and Bayesian Analysis

1985 • 7,736 citations

Design and Analysis of Computer Experiments

1989 • 6,989 citations

Bayesian Inference in Statistical Analysis.

1975 • 3,994 citations

Optimal Statistical Decisions.

1972 • 3,636 citations

Applied Statistical Decision Theory

1962 • 2,252 citations

Theory of optimal experiments

1972 • 2,133 citations

Power and sample size calculations

1990 • 2,000 citations

Optimal design of experiments

1993 • 1,650 citations

Optimum Experimental Designs

1993 • 1,495 citations

Dynamic System Identification - Experiment Design and Data Analysis

1977 • 1,425 citations

Bayesian Prediction of Deterministic Functions, with Applications to the Design and Analysis of Computer Experiments

1991 • 711 citations

DESIGN OF EXPERIMENTS IN NON-LINEAR SITUATIONS

1959 • 692 citations

A Basis for the Selection of a Response Surface Design

1959 • 689 citations

Locally Optimal Designs for Estimating Parameters

1953 • 632 citations

Screening, Predicting, and Computer Experiments

1992 • 629 citations

Bandit Problems, Sequential Allocation of Experiments.

1987 • 602 citations

Predictive Inference

2017 • 595 citations

Expected Information as Expected Utility

1979 • 570 citations

Optimal input signals for parameter estimation in dynamic systems--Survey and new results

1974 • 557 citations

1. Bayesian Statistics a Review

1972 • 540 citations

Optimum Allocation in Linear Regression Theory

1952 • 427 citations

Construction and optimality of generalized Youden designs II

1975 • 380 citations

Sample Sizes Based on the Log-Rank Statistic in Complex Clinical Trials

1988 • 330 citations

Sequential Analysis and Optimal Design

1972 • 327 citations

Experimental Design: Review and Comment

1984 • 295 citations

A Bayesian Sequential Procedure for Quantal Response in the Context of Adaptive Mental Testing

1975 • 295 citations

LISP‐STAT: An Object‐Oriented Environment for Statistical Computing and Dynamic Graphics

1990 • 289 citations

The Role of Exchangeability in Inference

1981 • 279 citations

A predictive approach to selecting the size of a clinical trial, based on subjective clinical opinion

1986 • 268 citations

Uncertainty, Information, and Sequential Experiments

1962 • 268 citations

Bayesian estimation and optimal designs in partially accelerated life testing

1979 • 267 citations

Recent Advances in Nonlinear Experimental Design

1989 • 251 citations

The Choice of Variables in Multiple Regression

1968 • 215 citations

Efficient Sequential Designs with Binary Data

1985 • 206 citations

Efficient rounding of approximate designs

1992 • 193 citations

Experimental Design and Observation for Large Systems

1996 • 189 citations

Bayesian Estimation and Experimental Design in Linear Regression Models

1992 • 182 citations

A Simple Bayesian Modification ofD-Optimal Designs to Reduce Dependence on an Assumed Model

1994 • 172 citations

On the Equivalence of Constrained and Compound Optimal Designs

1994 • 168 citations

Experimental design in a class of models

1974 • 165 citations

Robust experiment design via stochastic approximation

1985 • 163 citations

Design of experiments for parameter estimation in multiresponse situations

1966 • 151 citations

The Augmentation of Experimental Data to Maximize [X′X]

1971 • 137 citations

Optimal Bayesian Experimental Design for Linear Models

1984 • 136 citations

Mathematics and Computers in Biomedical Applications

1985 • 133 citations

Optimum Experimental Designs for Properties of a Compartmental Model

1993 • 121 citations

Some Guidelines for Constructing ExactD-Optimal Designs on Convex Design Spaces

1983 • 118 citations

Optimal Accelerated Life Designs for Estimation

1962 • 111 citations

A sequentially constructed design for estimating a nonlinear parametric function

1980 • 103 citations

Model Robust, Linear-Optimal Designs

1982 • 98 citations

A Generalization of $D$- and $D_1$-Optimal Designs in Polynomial Regression

1990 • 97 citations

Sample size calculation for complex clinical trials with survival endpoints

1995 • 95 citations

Planning experiments to detect inadequate regression models

1972 • 95 citations

An extension of the General Equivalence Theorem to nonlinear models

1973 • 94 citations

Bayesian design for accelerated life testing

1992 • 92 citations

On linear regression designs which maximize information

1980 • 90 citations

A Predictive Model Selection Criterion

1984 • 89 citations

The Equivalence of Constrained and Weighted Designs in Multiple Objective Design Problems

1996 • 86 citations

Application of a Measure of Information to the Design and Comparison of Regression Experiments

1959 • 84 citations

Incorporating prior parameter uncertainty in the design of sampling schedules for pharmacokinetic parameter estimation experiments

1990 • 83 citations

Optimal multipurpose designs for regression models

1976 • 77 citations

Quantifying Expert Opinion in Linear Regression Problems

1988 • 73 citations

Sample sizes for long-term medical trial with time-dependent dropout and event rates

1980 • 71 citations

Selection of Dose Levels for Estimating a Percentage Point of a Logistic Quantal Response Curve

1980 • 67 citations

A Quadratic Design Criterion for Precise Estimation in Nonlinear Regression Models

1985 • 65 citations

On Optimal Screening Ages

1993 • 65 citations

The use of prior distributions in the design of experiments for parameter estimation in non-linear situations: multiresponse case

1967 • 64 citations

A Bayesian Approach to the Design of Phase II Clinical Trials

1988 • 62 citations

A note on optimal Bayesian design for nonlinear problems

1993 • 61 citations

Optimal Experimental Design for Another's Analysis

1993 • 60 citations

Optimum experimental design for discriminating between two rival models in the presence of prior information

1991 • 59 citations

An Optimal Design Problem in Rhythmometry

1988 • 59 citations

Experimental Designs for Model Discrimination

1993 • 59 citations

Inference and sequential design

1985 • 58 citations

Bayesian Designs for Maximizing Information and Outcome

1992 • 58 citations

Convex Design Theory

1997 • 56 citations

D-Optimum Designs for Heteroscedastic Linear Models

1995 • 56 citations

A note on Bayes designs for inference using a hierarchical linear model

1980 • 54 citations

Optimal regression designs with previous observations

1970 • 48 citations

Bayesian D-optimal designs for the exponential growth model

1995 • 46 citations

A note on Bayesian c- and D-optimal designs in nonlinear regression models

1996 • 44 citations

A Geometric Approach to Optimal Design for One-Parameter Non-Linear Models

1995 • 40 citations

Bayesian design for estimating the turning point of a quadratic regression

1989 • 39 citations

Optimal Bayesian sequential estimation of the median effective dose

1970 • 39 citations

Elfving's Theorem for $D$-Optimality

1993 • 39 citations

Some Model Robust Designs in Regression

1984 • 37 citations

Biased coin designs with a Bayesian bias

1993 • 36 citations

Model robust response surface designs: Scaling two-level factorials

1985 • 33 citations

Construction of optimal designs in random coefficient regression models

1982 • 31 citations

Accelerated Life Testing and Experts' Opinion in Reliability.

1990 • 30 citations

Bayes D-optimal and E-optimal block designs

1983 • 30 citations

Optimal multicompartmental sampling designs for parameter estimation: Practical aspects of the identification problem

1982 • 29 citations

On the loss of information through censoring

1982 • 29 citations

A decision theory approach to optimal regression designs

1972 • 29 citations

Computer Augmentation of Experimental Designs to Maximize |X′X|

1979 • 27 citations

Bayesian Optimal Designs for Linear Regression Models

1991 • 26 citations

The Optimum Design of a Two-Factor Experiment Using Prior Information

1970 • 26 citations

Nonlinear experimental design based on the distribution of estimators

1992 • 26 citations

Shannon Information and Bayesian Design for Prediction in Accelerated Life-testing

1993 • 25 citations

Three-Stage Designs for Seed Testing Experiments

1995 • 25 citations

Optimal Design for Heart Defibrillators

1995 • 24 citations

Experimental design for drug development: a bayesian approach

1991 • 24 citations

On the choice of an experiment for prediction in linear regression

1974 • 23 citations

A comparison of confidence regions and designs in estimation of a ratio

1984 • 21 citations

Experimental designs for mean and variance estimation in variance components models

1989 • 21 citations

Optimal Bayesian design of experiments for the one-way random effects model

1995 • 21 citations

A note on robust designs for polynomial regression

1991 • 20 citations

Numerical Evaluation of Information- Theoretic Measures

1996 • 19 citations

A Cost-Utility Analysis of Alternative Strategies in Screening for Breast Cancer

1993 • 19 citations

A predictive approach to the Bayesian design problem with application to normal regression models

1996 • 18 citations

Bayesian Bioassay Design

1983 • 18 citations

Ratios of linear combinations in the general linear model

1985 • 17 citations

Uniform and subuniform posterior robustness: The sample size problem

1994 • 17 citations

Optimal regression design for control in linear regression

1977 • 16 citations

An Object-Oriented System for Bayesian Nonlinear Design Using XLISP-STAT

1993 • 15 citations

Once more: optimal experimental design for regression models (with discussion)

1987 • 15 citations

Bayesian Experimental Design for Multiple Hypothesis Testing

1996 • 15 citations

Compromise designs in heteroscedastic linear models

1992 • 15 citations

Bayesian optimal experimental design for treatment—control comparisons in the presence of two-way heterogeneity

1991 • 15 citations

A computer program for the design of group testing experiments

1987 • 15 citations

Optimal regression designs for prediction when prior knowledge is available

1976 • 15 citations

Bayes Optimal Designs for Two- and Three-Level Factorial Experiments

1994 • 13 citations

Optimal design for the estimation of variance components

1988 • 13 citations

Concepts of Information Based on Utility

1986 • 13 citations

A Remark on the Optimal Regression Designs with Previous Observations of Covey-Crump and Silvey

1971 • 13 citations

Robust Bayesian experimental design and estimation for analysis of variance models using a class of normal mixtures

1993 • 13 citations

A Method for Constructing an Optimal Regression Design After an Initial Set of Input Values Has Been Selected

1973 • 10 citations

Optimal Data Augmentation Strategies for Additive Models

1993 • 10 citations

How to Design Experiments that are Robust to Parameter Uncertainty

1985 • 10 citations

Bayesian robust experimental designs for the one-way analysis of variance

1992 • 9 citations

A Bayesian Approach to Optimum Allocation in Regression Problems

1970 • 9 citations

Some bayesian considerations of the choice of design for ranking, selection and estimation

1976 • 9 citations

Robust bayes and minimax-bayes estimation design in linear regression¹

1981 • 9 citations

Qualitative and Quantitative Experiment Design for Nonlinear Models

1988 • 8 citations

Bayes designs for multiple linear regression on the unit sphere

1982 • 6 citations

Estimation and experimental design in a linear regression model using prior information

1980 • 6 citations

Optimal Designs for Comparing Test Treatments with a Control Utilizing Prior Information

1992 • 6 citations

Bayesian Designs for Approximate Normality

1995 • 6 citations

Computing the optimal design for a calibration experiment

1991 • 6 citations

Use of bayesian analysis to design of clinical trials with one treatment

1984 • 5 citations

Experimental Design for Bayesian Estimations in the Linear Regression Model Taking Costs into Account

1983 • 4 citations

Restricted Bayesian Optimal Design

1992 • 4 citations

On the design of comparative lifetime studies

1987 • 4 citations

A feasible directions method for computing Bayes E-optimal block designs

1988 • 2 citations

Deleted Work

1955 • 0 citations