Applied Optimal Designs (eBook)

Martijn P.F. Berger, Department of Methodology and Statistics, University of Maastricht, the Netherlands, and Weng Kee Wong, Department of Biostatistics, School of Public Health, UCLA, USA.

List of Contributors.

Editors' Foreword.

1 Optimal Design in Educational Testing (StevenBuyske).

1.1 Introduction.

1.2 Test Design .

1.3 Sampling Design.

1.4 Future Directions.

2 Optimal On-line Calibration of Testlets (Douglas H.Jones and Mikhail S. Nediak).

2.1 Introduction.

2.2 Background.

2.3 Solution for Optimal Designs.

2.4 Simulation Results.

2.5 Discussion.

3 On the Empirical Relevance of Optimal Designs for theMeasurement of Preferences (Heiko Großmann, Heinz Holling,Michaela Brocke, Ulrike Graßhoff and Rainer Schwabe).

3.1 Introduction.

3.2 Conjoint Analysis.

3.3 Paired Comparison Models in Conjoint Analysis.

3.4 Design Issues.

3.5 Experiments.

3.6 Discussion.

4 Designing Optimal Two-stage Epidemiological Studies(Marie Reilly and Agus Salim).

4.1 Introduction.

4.2 Illustrative Examples.

4.3 Meanscore.

4.4 Optimal Design and Meanscore.

4.5 Deriving Optimal Designs in Practice.

4.6 Summary.

4.7 Appendix 1 Brief Description of Software Used.

4.8 Appendix 2 The Optimal Sampling Package.

4.9 Appendix 3 Using the Optimal Package in R.

4.10 Appendix 4 Using the Optimal Package in S-Plus.

4.11 Appendix 5 Using the Optimal Package in STATA.

5 Response-Driven Designs in Drug Development (Valerii V.Fedorov and Sergei L. Leonov).

5.1 Introduction.

5.2 Motivating Example: Quantal Models for Dose Response.

5.3 Continuous Models.

5.4 Variance Depending on Unknown Parameters and Multi-responseModels.

5.5 Optimal Designs with Cost Constraints

5.6 Adaptive Designs

5.7 Discussion

6 Design of Experiments for Microbiological Models(Holger Dette, Viatcheslav B. Melas and Nikolay Strigul).

6.1 Introduction.

6.2 Experimental Design for Nonlinear Models.

6.3 Applications of Optimal Experimental Design inMicrobiology.

6.4 Bayesian Methods for Regression Models.

6.5 Conclusions.

7 Selected Issues in the Design of Studies of InterraterAgreement (Allan Donner and Mekibib Altaye).

7.1 Introduction.

7.2 The Choice between a Continuous or Dichotomous Variable.

7.3 The Choice between a Polychotomous or Dichotomous OutcomeVariable.

7.4 Incorporation of Cost Considerations.

7.5 Final Comments.

8 Restricted Optimal Design in the Measurement of CerebralBlood Flow Using the Kety-Schmidt Technique (J.N.S.Matthews and P.W. James).

8.1 Introduction.

8.2 The Kety-Schmidt Method.

8.3 The Statistical Model and Optimality Criteria.

8.4 Locally Optimal Designs.

8.5 Bayesian Designs and Prior Distributions.

8.6 Optimal Bayesian Designs.

8.7 Practical Designs.

8.8 Concluding Remarks.

9 Optimal Experimental Design for Parameter Estimation andContaminant Plume Characterization in Groundwater Modelling(James McPhee and William W-G. Yeh).

9.1 Introduction.

9.2 Groundwater Flow and Mass Transport in Porous Media:Modelling Issues.

9.3 Problem Formulation.

9.4 Solution Algorithms.

9.5 Case Studies.

9.6 Summary and Conclusions.

10 The Optimal Design of Blocked Experiments in Industry(Peter Goos, Lieven Tack and Martina Vandebroek).

10.1 Introduction.

10.2 The Pastry Dough Mixing Experiment.

10.3 The Problem.

10.4 Fixed Block Effects Model.

10.5 Random Block Effects Model.

10.6 The Pastry Dough Mixing Experiment Revisited.

10.7 Time Trends and Cost Considerations.

10.8 Optimal Run Orders for Blocked Experiments.

10.9 A Time Trend in the Pastry Dough Mixing Experiment.

10.10 Summary.

Index.

"The wide range of analytical concepts and applications focused upon here will attract statisticians interested in design theory and researchers in many of the fields in which it is used." (Journal of the American Statistical Association, March 2006)