Chapter 1 Introduction to Cancer Clinical Trials -- chapter 2 Survival Analysis -- chapter 3 Counting Process and Martingale -- chapter 4 Survival Trial Design under the Parametric Model -- chapter 5 Survival Trial Design under the Proportional Hazards Model -- chapter 6 Survival Trial Design under the Cox Regression Model -- chapter 7 Complex Survival Trial Design -- chapter 8 Survival Trial Design under the Mixture Cure Model -- chapter 9 A General Group Sequential Procedure -- chapter 10 Sequential Survival Trial Design -- chapter 11 Sequential Survival Trial Design Using Historical Controls -- chapter 12 Some Practical Issues in Survival Trial Design -- chapter A. Likelihood Function for the Censored Data -- chapter B. Probability of Failure under Uniform Accrual -- chapter C C. Verification of the Minimum Sample Size Conditions -- chapter D.R Codes for the Sample Size Calculations -- chapter E. Derivation of the Asymptotic Distribution -- chapter F. Derivation of Equations for Chapter 8.
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SUMMARY OR ABSTRACT
Text of Note
Statistical Methods for Survival Trial Design: With Applications to Cancer Clinical Trials Using R provides a thorough presentation of the principles of designing and monitoring cancer clinical trials in which time-to-event is the primary endpoint. Traditional cancer trial designs with time-to-event endpoints are often limited to the exponential model or proportional hazards model. In practice, however, those model assumptions may not be satisfied for long-term survival trials. This book is the first to cover comprehensively the many newly developed methodologies for survival trial design, including trial design under the Weibull survival models; extensions of the sample size calculations under the proportional hazard models; and trial design under mixture cure models, complex survival models, Cox regression models, and competing-risk models. A general sequential procedure based on the sequential conditional probability ratio test is also implemented for survival trial monitoring. All methodologies are presented with sufficient detail for interested researchers or graduate students.
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Title
Statistical methods for survival trial design : with applications to cancer clinical trials using R.