Optimal Covariate Designs
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Optimal Covariate Designs
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Author : Premadhis Das
language : en
Publisher: Springer
Release Date : 2015-07-23
Optimal Covariate Designs written by Premadhis Das and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-23 with Computers categories.
This book primarily addresses the optimality aspects of covariate designs. A covariate model is a combination of ANOVA and regression models. Optimal estimation of the parameters of the model using a suitable choice of designs is of great importance; as such choices allow experimenters to extract maximum information for the unknown model parameters. The main emphasis of this monograph is to start with an assumed covariate model in combination with some standard ANOVA set-ups such as CRD, RBD, BIBD, GDD, BTIBD, BPEBD, cross-over, multi-factor, split-plot and strip-plot designs, treatment control designs, etc. and discuss the nature and availability of optimal covariate designs. In some situations, optimal estimations of both ANOVA and the regression parameters are provided. Global optimality and D-optimality criteria are mainly used in selecting the design. The standard optimality results of both discrete and continuous set-ups have been adapted, and several novel combinatorial techniques have been applied for the construction of optimum designs using Hadamard matrices, the Kronecker product, Rao-Khatri product, mixed orthogonal arrays to name a few.
Topics In Optimal Design
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Author : Erkki P. Liski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Topics In Optimal Design written by Erkki P. Liski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In the early nineties, at the initiative of Sinha and financial support of Shah and Liski (from their respective Research Project Funds), the authors - inspired by their similar research interests - started collaborative research at various institutions mostly in pairs and triplets. It took more time and efforts on the part of MandaI to visit the others at regular intervals and keep track of their common as well as diverse research areas and merge his own. From this collaborative work, the concept of this monograph took a preliminary shape only last year and serious efforts were started to combine diverse avenues into one. Admittedly, it took more time than expected to converge to a common platform regarding the contents and broad coverage of the topics to be included. We were mostly guided by our own common research interests spanning over the last ten years. That covered optimal designs in both discrete and continuous settings. Availability of huge published literature in various statistical journals on the broad theme of optimal designs has made our task quite interesting and stimulating. We hope our readers will be as excited and delighted to read the monograph as we have been in our efforts to write it.
Applied Optimal Designs
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Author : Martijn P.F. Berger
language : en
Publisher: John Wiley & Sons
Release Date : 2005-03-11
Applied Optimal Designs written by Martijn P.F. Berger and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-11 with Mathematics categories.
There is an increasing need to rein in the cost of scientific study without sacrificing accuracy in statistical inference. Optimal design is the judicious allocation of resources to achieve the objectives of studies using minimal cost via careful statistical planning. Researchers and practitioners in various fields of applied science are now beginning to recognize the advantages and potential of optimal experimental design. Applied Optimal Designs is the first book to catalogue the application of optimal design to real problems, documenting its widespread use across disciplines as diverse as drug development, education and ground water modelling. Includes contributions covering: Bayesian design for measuring cerebral blood-flow Optimal designs for biological models Computer adaptive testing Ground water modelling Epidemiological studies and pharmacological models Applied Optimal Designs bridges the gap between theory and practice, drawing together a selection of incisive articles from reputed collaborators. Broad in scope and inter-disciplinary in appeal, this book highlights the variety of opportunities available through the use of optimal design. The wide range of applications presented here should appeal to statisticians working with optimal designs, and to practitioners new to the theory and concepts involved.
Randomization In Clinical Trials
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Author : William F. Rosenberger
language : en
Publisher: John Wiley & Sons
Release Date : 2004-03-24
Randomization In Clinical Trials written by William F. Rosenberger and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-24 with Mathematics categories.
A unique overview that melds the concepts of conditionalprobability and stochastic processes into real-lifeapplications The role of randomization techniques in clinical trials has becomeincreasingly important. This comprehensive guide combines both theapplied aspects of randomization in clinical trials with aprobabilistic treatment of properties of randomization. Taking anunabashedly non-Bayesian and nonparametric approach to inference,the book focuses on the linear rank test under a randomizationmodel, with added discussion on likelihood-based inference as itrelates to sufficiency and ancillarity. Developments in stochasticprocesses and applied probability are also given where appropriate.Intuition is stressed over mathematics, but not without a cleardevelopment of the latter in the context of the former. Providing a consolidated review of the field, the book includesrelevant and practical discussions of: * The benefits of randomization in terms of reduction of bias * Randomization as a basis for inference * Covariate-adaptive and response-adaptive randomization * Current philosophies, controversies, and new developments With ample problem sets, theoretical exercises, and short computersimulations using SAS, Randomization in Clinical Trials: Theory andPractice is equally useful as a standard textbook in biostatisticsgraduate programs as well as a reliable reference forbiostatisticians in practice.
Theory Of Optimal Designs
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Author : Kirti R. Shah
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theory Of Optimal Designs written by Kirti R. Shah and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
There has been an enormous growth in recent years in the literature on discrete optimal designs. The optimality problems have been formulated in various models arising in the experimental designs and substantial progress has been made towards solving some of these. The subject has now reached a stage of completeness which calls for a self-contained monograph on this topic. The aim of this monograph is to present the state of the art and to focus on more recent advances in this rapidly developing area. We start with a discussion of statistical optimality criteria in Chapter One. Chapters Two and Three deal with optimal block designs. Row-column designs are dealt with in Chapter Four. In Chapter Five we deal with optimal designs with mixed effects models. Repeated measurement designs are considered in Chapter Six. Chapter Seven deals with some special situations and Weighing designs are dis cussed in Chapter Eight. We have endeavoured to include all the major developments that have taken place in the last three decades. The book should be of use to research workers in several areas including combinatorics as well as to the experimenters in diverse fields of applications. Since the details of the construction of the designs are available in excellent books, we have only pointed out the designs which have optimality proper ties. We believe, this will be adequate for the experimenters.
Adaptive Designs For Sequential Treatment Allocation
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Author : Alessandro Baldi Antognini
language : en
Publisher: CRC Press
Release Date : 2015-04-06
Adaptive Designs For Sequential Treatment Allocation written by Alessandro Baldi Antognini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-06 with Mathematics categories.
Adaptive Designs for Sequential Treatment Allocation presents a rigorous theoretical treatment of the results and mathematical foundation of adaptive design theory. The book focuses on designing sequential randomized experiments to compare two or more treatments incorporating information accrued along the way. The authors first introduce the terminology and statistical models most commonly used in comparative experiments. They then illustrate biased coin and urn designs that only take into account past treatment allocations as well as designs that use past data, such as sequential maximum likelihood and various types of doubly adaptive designs. The book also covers multipurpose adaptive experiments involving utilitarian choices and ethical issues. It ends with adaptive methods that include covariates in the design. The appendices present basic tools of optimal design theory and address Bayesian adaptive designs. This book helps readers fully understand the theoretical properties behind various adaptive designs. Readers are then equipped to choose the best design for their experiment.
Randomised Response Adaptive Designs In Clinical Trials
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Author : Anthony C Atkinson
language : en
Publisher: CRC Press
Release Date : 2013-12-26
Randomised Response Adaptive Designs In Clinical Trials written by Anthony C Atkinson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-26 with Mathematics categories.
Randomised Response-Adaptive Designs in Clinical Trials presents methods for the randomised allocation of treatments to patients in sequential clinical trials. Emphasizing the practical application of clinical trial designs, the book is designed for medical and applied statisticians, clinicians, and statisticians in training. After introducing clinical trials in drug development, the authors assess a simple adaptive design for binary responses without covariates. They discuss randomisation and covariate balance in normally distributed responses and cover many important response-adaptive designs for binary responses. The book then develops response-adaptive designs for continuous and longitudinal responses, optimum designs with covariates, and response-adaptive designs with covariates. It also covers response-adaptive designs that are derived by optimising an objective function subject to constraints on the variance of estimated parametric functions. The concluding chapter explores future directions in the development of adaptive designs.
Moda 9 Advances In Model Oriented Design And Analysis
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Author : Alessandra Giovagnoli
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-10
Moda 9 Advances In Model Oriented Design And Analysis written by Alessandra Giovagnoli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-10 with Mathematics categories.
Statisticians and experimentalists will find the latest trends in optimal experimental design research. Some papers are pioneering contributions, leading to new open research problems. It is a colection of peer reviewed papers.
Public Policy And Statistics
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Author : Sally C. Morton
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-05-19
Public Policy And Statistics written by Sally C. Morton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-19 with Social Science categories.
A critical yet constructive description of the rich analytical techniques and substantive applications that typify how statistical thinking has been applied at the RAND Corporation over the past two decades. Case studies of public policy problems are useful for teaching because they are familiar: almost everyone knows something abut health insurance, global warming, and capital punishment, to name but a few of the applications covered in this casebook. Each case study has a common format that describes the policy questions, the statistical questions, and the successful and the unsuccessful analytic strategies. Readers should be familiar with basic statistical concepts including sampling and regression. While designed for statistics courses in areas ranging from economics to health policy to the law at both the advanced undergraduate and graduate levels, empirical researchers and policy-makers will also find this casebook informative.
Modern Adaptive Randomized Clinical Trials
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Author : Oleksandr Sverdlov
language : en
Publisher: CRC Press
Release Date : 2015-06-30
Modern Adaptive Randomized Clinical Trials written by Oleksandr Sverdlov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-30 with Mathematics categories.
Is adaptive randomization always better than traditional fixed-schedule randomization? Which procedures should be used and under which circumstances? What special considerations are required for adaptive randomized trials? What kind of statistical inference should be used to achieve valid and unbiased treatment comparisons following adaptive random