{"product_id":"the-theory-of-responseadaptive-randomization-in-clinical-trials-9780471653967","title":"The Theory of ResponseAdaptive Randomization in Clinical Trials","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePresents a firm mathematical basis for the use of response-adaptive randomization procedures in practice\u003c\/b\u003e  \u003cp\u003e\u003ci\u003eThe Theory of Response-Adaptive Randomization in Clinical Trials\u003c\/i\u003e is the result of the authors'' ten-year collaboration as well as their collaborations with other researchers in investigating the important questions regarding response-adaptive randomization in a rigorous mathematical framework. Response-adaptive allocation has a long history in biostatistics literature; however, largely due to the disastrous ECMO trial in the early 1980s, there is a general reluctance to use these procedures.\u003c\/p\u003e \u003cp\u003eThis timely book represents a mathematically rigorous subdiscipline of experimental design involving randomization and answers fundamental questions, including:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eHow does response-adaptive randomization affect power?\u003c\/li\u003e \u003cli\u003eCan standard inferential tests be applied following response-adaptive randomization?\u003c\/li\u003e \u003cli\u003eWhat is the effect of delayed response?\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"The book provides a comprehensive overview of the theory of repsonse-adaptive radomization and is recommended to readers with an interest in this specialist area.\" (\u003ci\u003eStatistics in Medicine\u003c\/i\u003e, July 2008)  \u003cp\u003e\"I can recommend this book for the intended target audience which will include industry statisticians with a special interest in this area.\" (\u003ci\u003ePharmaceutical Statisitcs,\u003c\/i\u003e 2008)\u003c\/p\u003e \u003cp\u003e\"…this ground-breaking text is certainly a useful guide and reference for the academic and industry statistician alike.\" (\u003ci\u003eJournal of the American Statistical Association\u003c\/i\u003e, December 2007)\u003c\/p\u003e \u003cp\u003e “This book is useful for graduate students in mathematics, statistics and biostatistics as well as researchers and industrial and academic biostatisticians.” (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 2007)\u003c\/p\u003e \u003cp\u003e\"…a milestone in the literature on response-adaptive designs in clinical trials.\" (\u003ci\u003eBiometrics\u003c\/i\u003e, September 2007)\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eDedication.  \u003cp\u003ePreface.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Introduction.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Randomization in clinical trials.\u003c\/p\u003e \u003cp\u003e1.2 Response-adaptive randomization in a historical context.\u003c\/p\u003e \u003cp\u003e1.3 Outline of the book.\u003c\/p\u003e \u003cp\u003e1.4 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Fundamental Questions of response-Adaptive Randomization.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Optimal allocation.\u003c\/p\u003e \u003cp\u003e2.2 The realtionship between power and response-adaptive randomization.\u003c\/p\u003e \u003cp\u003e2.3 The relationship for K \u0026gt; 2 treatments.\u003c\/p\u003e \u003cp\u003e2.4 Asymptotically best procedures.\u003c\/p\u003e \u003cp\u003e2.5 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Likelihood-based Inference.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Data structure and Likelihood.\u003c\/p\u003e \u003cp\u003e3.2 Asymptotic properties of maximum likelihood estimators.\u003c\/p\u003e \u003cp\u003e3.4 Conclusion.\u003c\/p\u003e \u003cp\u003e3.5 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Procedures Based on Urn Models.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Generalized Friedman's urn.\u003c\/p\u003e \u003cp\u003e4.2 The class of ternary urn models.\u003c\/p\u003e \u003cp\u003e4.3 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Procedures Based on Sequential Estimation.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Examples.\u003c\/p\u003e \u003cp\u003e5.2 Properties of procedures based on sequential estimation for K = 2.\u003c\/p\u003e \u003cp\u003e5.3 Notation and conditions for the general framework.\u003c\/p\u003e \u003cp\u003e5.4 Asymptotic results and some examples.\u003c\/p\u003e \u003cp\u003e5.5 Proving the main theorems.\u003c\/p\u003e \u003cp\u003e5.6 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Sample Size Calculation.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Power of a randomization procedure.\u003c\/p\u003e \u003cp\u003e6.2 Three types of sample size.\u003c\/p\u003e \u003cp\u003e6.3 Examples.\u003c\/p\u003e \u003cp\u003e6.4 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Additional Considerations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 The effect of delayed response.\u003c\/p\u003e \u003cp\u003e7.2 Continuous responses.\u003c\/p\u003e \u003cp\u003e7.3 Multiple (K \u0026gt; 2) treatments.\u003c\/p\u003e \u003cp\u003e7.4 Accommodating heterogeneity.\u003c\/p\u003e \u003cp\u003e7.5 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8. Implications for the Practice of Clinical Trials.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Standards.\u003c\/p\u003e \u003cp\u003e8.2 Binary response.\u003c\/p\u003e \u003cp\u003e8.3 Continuous responses.\u003c\/p\u003e \u003cp\u003e8.4 The effect of delayed response.\u003c\/p\u003e \u003cp\u003e8.5 Conclusions.\u003c\/p\u003e \u003cp\u003e8.6 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. Incorporating Covariates.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction and examples.\u003c\/p\u003e \u003cp\u003e9.2 General framework and asymptotic results.\u003c\/p\u003e \u003cp\u003e9.3 Generalized linear models.\u003c\/p\u003e \u003cp\u003e9.4 Two treatments with binary responses.\u003c\/p\u003e \u003cp\u003e9.5 Conclusions.\u003c\/p\u003e \u003cp\u003e9.6 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10. Conclusions and Open Problems.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Conclusions.\u003c\/p\u003e \u003cp\u003e10.2 Open problems.\u003c\/p\u003e \u003cp\u003e10.3 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A: Supporting Technical Material.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Some matrix theory.\u003c\/p\u003e \u003cp\u003eA.2 Jordan decomposition.\u003c\/p\u003e \u003cp\u003eA.3 Matrix recursions.\u003c\/p\u003e \u003cp\u003eA.4 Martingales.\u003c\/p\u003e \u003cp\u003eA.5 Cramér-Wold device.\u003c\/p\u003e \u003cp\u003eA.6 Multivariate martingales.\u003c\/p\u003e \u003cp\u003eA.7 Multivariate Taylor's expansion.\u003c\/p\u003e \u003cp\u003eA.8 References.\u003c\/p\u003e \u003cp\u003eAppendix B: Proofs.\u003c\/p\u003e \u003cp\u003eB.1 Proofs theorems in Chapter 4.\u003c\/p\u003e \u003cp\u003eB.2 Proof of theorems in Chapter 5.\u003c\/p\u003e \u003cp\u003eB.3 Proof of theorems in Chapter 7.\u003c\/p\u003e \u003cp\u003eB.4 References.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAuthor Index.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eSubject Index.\u003c\/b\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":53515430887767,"sku":"9780471653967","price":116.96,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/the-theory-of-responseadaptive-randomization-in-clinical-trials-9780471653967","provider":"Book Curl","version":"1.0","type":"link"}