Optimal Covariate Designs

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Optimal Covariate Designs

Author : Premadhis Das
Publisher : Springer
ISBN 13 : 8132224612
Total Pages : 231 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Optimal Covariate Designs by : Premadhis Das

Download or read book Optimal Covariate Designs written by Premadhis Das and published by Springer. This book was released on 2015-07-23 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Erkki P. Liski
Publisher : Springer Science & Business Media
ISBN 13 : 1461300495
Total Pages : 173 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Topics in Optimal Design by : Erkki P. Liski

Download or read book Topics in Optimal Design written by Erkki P. Liski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a wide range of topics in both discrete and continuous optimal designs. The topics discussed include designs for regression models, covariates models, models with trend effects, and models with competition effects. The prerequisites are a basic course in the design and analysis of experiments and some familiarity with the concepts of optimality criteria.

Theory of Optimal Designs

Author : Kirti R. Shah
Publisher : Springer Science & Business Media
ISBN 13 : 1461236622
Total Pages : 179 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Theory of Optimal Designs by : Kirti R. Shah

Download or read book Theory of Optimal Designs written by Kirti R. Shah and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Randomization in Clinical Trials

Author : William F. Rosenberger
Publisher : John Wiley & Sons
ISBN 13 : 0471654078
Total Pages : 286 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Randomization in Clinical Trials by : William F. Rosenberger

Download or read book Randomization in Clinical Trials written by William F. Rosenberger and published by John Wiley & Sons. This book was released on 2004-03-24 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Adaptive Designs for Sequential Treatment Allocation

Author : Alessandro Baldi Antognini
Publisher : CRC Press
ISBN 13 : 1466505761
Total Pages : 210 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Adaptive Designs for Sequential Treatment Allocation by : Alessandro Baldi Antognini

Download or read book Adaptive Designs for Sequential Treatment Allocation written by Alessandro Baldi Antognini and published by CRC Press. This book was released on 2015-04-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Design of Experiments

Author : Peter Goos
Publisher : John Wiley & Sons
ISBN 13 : 1119976162
Total Pages : 249 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Optimal Design of Experiments by : Peter Goos

Download or read book Optimal Design of Experiments written by Peter Goos and published by John Wiley & Sons. This book was released on 2011-06-28 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is an engaging and informative book on the modern practice of experimental design. The authors' writing style is entertaining, the consulting dialogs are extremely enjoyable, and the technical material is presented brilliantly but not overwhelmingly. The book is a joy to read. Everyone who practices or teaches DOE should read this book." - Douglas C. Montgomery, Regents Professor, Department of Industrial Engineering, Arizona State University "It's been said: 'Design for the experiment, don't experiment for the design.' This book ably demonstrates this notion by showing how tailor-made, optimal designs can be effectively employed to meet a client's actual needs. It should be required reading for anyone interested in using the design of experiments in industrial settings." —Christopher J. Nachtsheim, Frank A Donaldson Chair in Operations Management, Carlson School of Management, University of Minnesota This book demonstrates the utility of the computer-aided optimal design approach using real industrial examples. These examples address questions such as the following: How can I do screening inexpensively if I have dozens of factors to investigate? What can I do if I have day-to-day variability and I can only perform 3 runs a day? How can I do RSM cost effectively if I have categorical factors? How can I design and analyze experiments when there is a factor that can only be changed a few times over the study? How can I include both ingredients in a mixture and processing factors in the same study? How can I design an experiment if there are many factor combinations that are impossible to run? How can I make sure that a time trend due to warming up of equipment does not affect the conclusions from a study? How can I take into account batch information in when designing experiments involving multiple batches? How can I add runs to a botched experiment to resolve ambiguities? While answering these questions the book also shows how to evaluate and compare designs. This allows researchers to make sensible trade-offs between the cost of experimentation and the amount of information they obtain.

Optimum Experimental Designs, With SAS

Author : Anthony Atkinson
Publisher : OUP Oxford
ISBN 13 : 0191537942
Total Pages : 528 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Optimum Experimental Designs, With SAS by : Anthony Atkinson

Download or read book Optimum Experimental Designs, With SAS written by Anthony Atkinson and published by OUP Oxford. This book was released on 2007-05-24 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experiments on patients, processes or plants all have random error, making statistical methods essential for their efficient design and analysis. This book presents the theory and methods of optimum experimental design, making them available through the use of SAS programs. Little previous statistical knowledge is assumed. The first part of the book stresses the importance of models in the analysis of data and introduces least squares fitting and simple optimum experimental designs. The second part presents a more detailed discussion of the general theory and of a wide variety of experiments. The book stresses the use of SAS to provide hands-on solutions for the construction of designs in both standard and non-standard situations. The mathematical theory of the designs is developed in parallel with their construction in SAS, so providing motivation for the development of the subject. Many chapters cover self-contained topics drawn from science, engineering and pharmaceutical investigations, such as response surface designs, blocking of experiments, designs for mixture experiments and for nonlinear and generalized linear models. Understanding is aided by the provision of "SAS tasks" after most chapters as well as by more traditional exercises and a fully supported website. The authors are leading experts in key fields and this book is ideal for statisticians and scientists in academia, research and the process and pharmaceutical industries.

Design and Analysis of Experiments, Volume 3

Author : Klaus Hinkelmann
Publisher : John Wiley & Sons
ISBN 13 : 0470530685
Total Pages : 598 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Design and Analysis of Experiments, Volume 3 by : Klaus Hinkelmann

Download or read book Design and Analysis of Experiments, Volume 3 written by Klaus Hinkelmann and published by John Wiley & Sons. This book was released on 2012-02-14 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides timely applications, modifications, and extensions of experimental designs for a variety of disciplines Design and Analysis of Experiments, Volume 3: Special Designs and Applications continues building upon the philosophical foundations of experimental design by providing important, modern applications of experimental design to the many fields that utilize them. The book also presents optimal and efficient designs for practice and covers key topics in current statistical research. Featuring contributions from leading researchers and academics, the book demonstrates how the presented concepts are used across various fields from genetics and medicinal and pharmaceutical research to manufacturing, engineering, and national security. Each chapter includes an introduction followed by the historical background as well as in-depth procedures that aid in the construction and analysis of the discussed designs. Topical coverage includes: Genetic cross experiments, microarray experiments, and variety trials Clinical trials, group-sequential designs, and adaptive designs Fractional factorial and search, choice, and optimal designs for generalized linear models Computer experiments with applications to homeland security Robust parameter designs and split-plot type response surface designs Analysis of directional data experiments Throughout the book, illustrative and numerical examples utilize SAS®, JMP®, and R software programs to demonstrate the discussed techniques. Related data sets and software applications are available on the book's related FTP site. Design and Analysis of Experiments, Volume 3 is an ideal textbook for graduate courses in experimental design and also serves as a practical, hands-on reference for statisticians and researchers across a wide array of subject areas, including biological sciences, engineering, medicine, and business.

Applied Optimal Designs

Author : Martijn P.F. Berger
Publisher : John Wiley & Sons
ISBN 13 : 9780470856970
Total Pages : 320 pages
Book Rating : 4.8/5 (569 download)

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Book Synopsis Applied Optimal Designs by : Martijn P.F. Berger

Download or read book Applied Optimal Designs written by Martijn P.F. Berger and published by John Wiley & Sons. This book was released on 2005-03-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimum Designs for Multi-Factor Models

Author : Rainer Schwabe
Publisher : Springer Science & Business Media
ISBN 13 : 1461240387
Total Pages : 132 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Optimum Designs for Multi-Factor Models by : Rainer Schwabe

Download or read book Optimum Designs for Multi-Factor Models written by Rainer Schwabe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this book introduces the theory of optimum designs for complex models and develops general methods of reduction to marginal problems for large classes of models with relevant interaction structures.

Best Practices in Quantitative Methods

Author : Jason W. Osborne
Publisher : SAGE
ISBN 13 : 1412940656
Total Pages : 609 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis Best Practices in Quantitative Methods by : Jason W. Osborne

Download or read book Best Practices in Quantitative Methods written by Jason W. Osborne and published by SAGE. This book was released on 2008 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributors to Best Practices in Quantitative Methods envision quantitative methods in the 21st century, identify the best practices, and, where possible, demonstrate the superiority of their recommendations empirically. Editor Jason W. Osborne designed this book with the goal of providing readers with the most effective, evidence-based, modern quantitative methods and quantitative data analysis across the social and behavioral sciences. The text is divided into five main sections covering select best practices in Measurement, Research Design, Basics of Data Analysis, Quantitative Methods, and Advanced Quantitative Methods. Each chapter contains a current and expansive review of the literature, a case for best practices in terms of method, outcomes, inferences, etc., and broad-ranging examples along with any empirical evidence to show why certain techniques are better. Key Features: Describes important implicit knowledge to readers: The chapters in this volume explain the important details of seemingly mundane aspects of quantitative research, making them accessible to readers and demonstrating why it is important to pay attention to these details. Compares and contrasts analytic techniques: The book examines instances where there are multiple options for doing things, and make recommendations as to what is the "best" choice—or choices, as what is best often depends on the circumstances. Offers new procedures to update and explicate traditional techniques: The featured scholars present and explain new options for data analysis, discussing the advantages and disadvantages of the new procedures in depth, describing how to perform them, and demonstrating their use. Intended Audience: Representing the vanguard of research methods for the 21st century, this book is an invaluable resource for graduate students and researchers who want a comprehensive, authoritative resource for practical and sound advice from leading experts in quantitative methods.

A Practical Introduction to Regression Discontinuity Designs

Author : Matias D. Cattaneo
Publisher : Cambridge University Press
ISBN 13 : 1108670423
Total Pages : 118 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis A Practical Introduction to Regression Discontinuity Designs by : Matias D. Cattaneo

Download or read book A Practical Introduction to Regression Discontinuity Designs written by Matias D. Cattaneo and published by Cambridge University Press. This book was released on 2020-02-13 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this Element and its accompanying second Element, A Practical Introduction to Regression Discontinuity Designs: Extensions, Matias Cattaneo, Nicolás Idrobo, and Rocıìo Titiunik provide an accessible and practical guide for the analysis and interpretation of regression discontinuity (RD) designs that encourages the use of a common set of practices and facilitates the accumulation of RD-based empirical evidence. In this Element, the authors discuss the foundations of the canonical Sharp RD design, which has the following features: (i) the score is continuously distributed and has only one dimension, (ii) there is only one cutoff, and (iii) compliance with the treatment assignment is perfect. In the second Element, the authors discuss practical and conceptual extensions to this basic RD setup.

Reliability Assessment and Optimization of Complex Systems

Author : Akshay Kumar
Publisher : Elsevier
ISBN 13 : 0443291136
Total Pages : 557 pages
Book Rating : 4.4/5 (432 download)

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Book Synopsis Reliability Assessment and Optimization of Complex Systems by : Akshay Kumar

Download or read book Reliability Assessment and Optimization of Complex Systems written by Akshay Kumar and published by Elsevier. This book was released on 2024-10-31 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability Assessment and Optimization of Complex Systems delves into a range of tools and techniques for designing optimized complex systems. Each chapter explores system modeling and the implementation of various metaheuristics for optimization purposes. This book provides readers in the domain of applied mathematics with a comprehensive understanding of system reliability analysis and improvement, thereby offering substantial value to their knowledge and expertise. System reliability has become the paramount attribute of any production unit. The process of maximizing system reliability while adhering to multiple constraints is referred to as reliability optimization.There are two primary approaches to enhancing a system's performance and reliability: developing a product with reduced failures (failure avoidance) or incorporating resilience to ensure the system continues functioning even in the event of a failure (fault tolerance). - Explains the process and application of reliability-based design optimization - Covers many metaheuristic approaches such as reliability, cost, and the MTTF of the system - Provides the workings and applications of multi-objective optimizations

Developing a Protocol for Observational Comparative Effectiveness Research: A User's Guide

Author : Agency for Health Care Research and Quality (U.S.)
Publisher : Government Printing Office
ISBN 13 : 1587634236
Total Pages : 236 pages
Book Rating : 4.5/5 (876 download)

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Book Synopsis Developing a Protocol for Observational Comparative Effectiveness Research: A User's Guide by : Agency for Health Care Research and Quality (U.S.)

Download or read book Developing a Protocol for Observational Comparative Effectiveness Research: A User's Guide written by Agency for Health Care Research and Quality (U.S.) and published by Government Printing Office. This book was released on 2013-02-21 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This User’s Guide is a resource for investigators and stakeholders who develop and review observational comparative effectiveness research protocols. It explains how to (1) identify key considerations and best practices for research design; (2) build a protocol based on these standards and best practices; and (3) judge the adequacy and completeness of a protocol. Eleven chapters cover all aspects of research design, including: developing study objectives, defining and refining study questions, addressing the heterogeneity of treatment effect, characterizing exposure, selecting a comparator, defining and measuring outcomes, and identifying optimal data sources. Checklists of guidance and key considerations for protocols are provided at the end of each chapter. The User’s Guide was created by researchers affiliated with AHRQ’s Effective Health Care Program, particularly those who participated in AHRQ’s DEcIDE (Developing Evidence to Inform Decisions About Effectiveness) program. Chapters were subject to multiple internal and external independent reviews. More more information, please consult the Agency website: www.effectivehealthcare.ahrq.gov)

Regression Discontinuity Designs

Author : Juan Carlos Escanciano
Publisher : Emerald Group Publishing
ISBN 13 : 1787143902
Total Pages : 539 pages
Book Rating : 4.7/5 (871 download)

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Book Synopsis Regression Discontinuity Designs by : Juan Carlos Escanciano

Download or read book Regression Discontinuity Designs written by Juan Carlos Escanciano and published by Emerald Group Publishing. This book was released on 2017-05-11 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 38 of Advances in Econometrics collects twelve innovative and thought-provoking contributions to the literature on Regression Discontinuity designs, covering a wide range of methodological and practical topics such as identification, interpretation, implementation, falsification testing, estimation and inference.

Optimum Design 2000

Author : Anthony Atkinson
Publisher : Springer Science & Business Media
ISBN 13 : 1475734190
Total Pages : 313 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Optimum Design 2000 by : Anthony Atkinson

Download or read book Optimum Design 2000 written by Anthony Atkinson and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimum Design 2000

Modern Adaptive Randomized Clinical Trials

Author : Oleksandr Sverdlov
Publisher : CRC Press
ISBN 13 : 1482239892
Total Pages : 536 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Modern Adaptive Randomized Clinical Trials by : Oleksandr Sverdlov

Download or read book Modern Adaptive Randomized Clinical Trials written by Oleksandr Sverdlov and published by CRC Press. This book was released on 2015-06-30 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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