Hybrid Frequentist/Bayesian Power and Bayesian Power in Planning Clinical Trials
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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
Descrição não disponível.
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
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
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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
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
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
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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