Hybrid Frequentist/Bayesian Power and Bayesian Power in Planning Clinical Trials

Hybrid Frequentist/Bayesian Power and Bayesian Power in Planning Clinical Trials

Grieve, Andrew P.

Taylor & Francis Ltd

06/2022

188

Dura

Inglês

9781032111292

15 a 20 dias

453

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List of Figures..........................................................................................................xi

List of Tables......................................................................................................... xiii

Preface......................................................................................................................xv

Acknowledgements..............................................................................................xix

Author.....................................................................................................................xxi

List of Acronyms................................................................................................ xxiii

1. Introduction......................................................................................................1

2. All Power Is Conditional Unless It's Absolute..........................................9

3. Assurance........................................................................................................33

4. Average Power in Non-Normal Settings...................................................59

5. Bayesian Power..............................................................................................75

6. Prior Distributions of Power and Sample Size........................................87

7. Interim Predictions......................................................................................101

8. Case Studies in Simulation........................................................................ 113

9. Decision Criteria in Proof-of-Concept Trials..........................................127

10. Surety and Assurance in Estimation........................................................149

References.............................................................................................................161

Appendix 1 Evaluation of a Double Normal Integral...................................171

Appendix 2 Besag's Candidate Formula.........................................................173

Index......................................................................................................................175
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interim analysis;absolute power;assurance;sample size;Prior Distribution;POS;Posterior Distribution;Non-inferiority Margin;True Treatment Effect;Marginal Predictive Distribution;Estimated Treatment Effect;Restless Leg Syndrome;Predictive Distribution;Clinical Trial Simulations;SSR;Treatment Effect;Non-inferiority Trial;Phase 2b Study;Noninferiority Trials;Ich E9;MCID;Unknown Variance Case;Point Estimate Method;Unnormalised Density;Noninferiority Margin;Predictive Probability Of Success;Prior Density;HPD Interval