Download or read book A Bayesian Approach to Two stage Sampling written by William Arnold Ericson and published by . This book was released on 1976 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: In several previous papers, the author has shown that various standard sampling designs are optimal in a Bayesian sense under corresponding classes of prior distributions on the N-dimensional vector of unknown characteristics of the N elements of a finite population. In this manner a Bayesian interpretation of simple random sampling, stratified random sampling, and of various ratio and regression estimators have been given. In the present report this work is extended to two-stage balanced sampling. Additionally, a simple result on a representation of finitely exchangeable discrete random variables is given which gives a slight generalization of a seemingly little-known result of de Finetti. Also a general tie between Bayes posterior means and traditional WLSE's and BLUE's is obtained, generalizing previous results given by the author. (Author).
Download or read book A Bayesian Approach to Two Phase Sampling from Finite and Infinite Populations written by Charles D. Palit and published by . This book was released on 1970 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intervention Research written by Mark W. Fraser and published by Oxford University Press. This book was released on 2009-04-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: When social workers draw on experience, theory, or data in order to develop new strategies or enhance existing ones, they are conducting intervention research. This relatively new field involves program design, implementation, and evaluation and requires a theory-based, systematic approach. Intervention Research presents such a framework. The five-step strategy described in this brief but thorough book ushers the reader from an idea's germination through the process of writing a treatment manual, assessing program efficacy and effectiveness, and disseminating findings. Rich with examples drawn from child welfare, school-based prevention, medicine, and juvenile justice, Intervention Research relates each step of the process to current social work practice. It also explains how to adapt interventions for new contexts, and provides extensive examples of intervention research in fields such as child welfare, school-based prevention, medicine, and juvenile justice, and offers insights about changes and challenges in the field. This innovative pocket guide will serve as a solid reference for those already in the field, as well as help the next generation of social workers develop skills to contribute to the evolving field of intervention research.
Download or read book Optimal Two Stage Procedures for Estimating Functions of Parameters in Reliability and Queueing Models written by Kevin Edward Burns and published by . This book was released on 1998 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we consider the problem of estimating functions of parameters found in reliability and queueing models. The problem is to allocate a fixed sampling budget among the populations with the goal of minimizing the mean squared error (MSF) of the estimator. We consider the reliability model with three components such that the probability the system works is f(u1,u2,u3) = u1(u2+u3), and the mean waiting time of the M/G/I queue. For each of these models, we consider a set of sample sizes referred to as a first-allocation procedure which minimizes the first-order approximation to the MSE. Since the first-order allocation procedure depends on the unknown parameters in the model, we propose a two-stage procedure in which we first use a fraction of the sampling budget to estimate the unknown parameters and then allocate the remaining budget based on the initial sample. We show that the difference between the MSE for the two-stage procedure and the minimum MSE obtained using the optimal set of sample sizes from the first-allocation procedure goes to zero as the budget goes to infinity. Simulations are used to demonstrate the asymptotic optimality results for the two stage procedures. The empirical studies show that the two stage estimation procedures work well for reasonable sample sizes.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1977 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Bayesian Approach to Optimal Sequential Design for Destructive Life Testing written by Ping Shi and published by . This book was released on 1995 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bayesian Data Analysis Third Edition written by Andrew Gelman and published by CRC Press. This book was released on 2013-11-01 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors—all leaders in the statistics community—introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice. New to the Third Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book’s web page.
Download or read book Design and Analysis of Simulation Experiments written by Jack P.C. Kleijnen and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation is a widely used methodology in all Applied Science disciplines. This textbook focuses on this crucial phase in the overall process of applying simulation, and includes the best of both classic and modern methods of simulation experimentation. This book will be the standard reference book on the topic for both researchers and sophisticated practitioners, and it will be used as a textbook in courses or seminars focusing on this topic.
Download or read book Prediction Theory for Finite Populations written by Heleno Bolfarine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of papers have appeared in the last twenty years on estimating and predicting characteristics of finite populations. This monograph is designed to present this modern theory in a systematic and consistent manner. The authors' approach is that of superpopulation models in which values of the population elements are considered as random variables having joint distributions. Throughout, the emphasis is on the analysis of data rather than on the design of samples. Topics covered include: optimal predictors for various superpopulation models, Bayes, minimax, and maximum likelihood predictors, classical and Bayesian prediction intervals, model robustness, and models with measurement errors. Each chapter contains numerous examples, and exercises which extend and illustrate the themes in the text. As a result, this book will be ideal for all those research workers seeking an up-to-date and well-referenced introduction to the subject.
Download or read book Advances in Statistics Theory and Applications written by Indranil Ghosh and published by Springer Nature. This book was released on 2021-04-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection brings together internationally recognized experts in a range of areas of statistical science to honor the contributions of the distinguished statistician, Barry C. Arnold. A pioneering scholar and professor of statistics at the University of California, Riverside, Dr. Arnold has made exceptional advancements in different areas of probability, statistics, and biostatistics, especially in the areas of distribution theory, order statistics, and statistical inference. As a tribute to his work, this book presents novel developments in the field, as well as practical applications and potential future directions in research and industry. It will be of interest to graduate students and researchers in probability, statistics, and biostatistics, as well as practitioners and technicians in the social sciences, economics, engineering, and medical sciences.
Download or read book A Bayesian approach to two stage sampling written by William Arnold Ericson and published by . This book was released on 1976 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability and Bayesian Modeling written by Jim Albert and published by CRC Press. This book was released on 2019-12-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Bayesian Modeling is an introduction to probability and Bayesian thinking for undergraduate students with a calculus background. The first part of the book provides a broad view of probability including foundations, conditional probability, discrete and continuous distributions, and joint distributions. Statistical inference is presented completely from a Bayesian perspective. The text introduces inference and prediction for a single proportion and a single mean from Normal sampling. After fundamentals of Markov Chain Monte Carlo algorithms are introduced, Bayesian inference is described for hierarchical and regression models including logistic regression. The book presents several case studies motivated by some historical Bayesian studies and the authors’ research. This text reflects modern Bayesian statistical practice. Simulation is introduced in all the probability chapters and extensively used in the Bayesian material to simulate from the posterior and predictive distributions. One chapter describes the basic tenets of Metropolis and Gibbs sampling algorithms; however several chapters introduce the fundamentals of Bayesian inference for conjugate priors to deepen understanding. Strategies for constructing prior distributions are described in situations when one has substantial prior information and for cases where one has weak prior knowledge. One chapter introduces hierarchical Bayesian modeling as a practical way of combining data from different groups. There is an extensive discussion of Bayesian regression models including the construction of informative priors, inference about functions of the parameters of interest, prediction, and model selection. The text uses JAGS (Just Another Gibbs Sampler) as a general-purpose computational method for simulating from posterior distributions for a variety of Bayesian models. An R package ProbBayes is available containing all of the book datasets and special functions for illustrating concepts from the book. A complete solutions manual is available for instructors who adopt the book in the Additional Resources section.
Download or read book Adaptive Design Theory and Implementation Using SAS and R Second Edition written by Mark Chang and published by CRC Press. This book was released on 2014-12-01 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: Get Up to Speed on Many Types of Adaptive Designs Since the publication of the first edition, there have been remarkable advances in the methodology and application of adaptive trials. Incorporating many of these new developments, Adaptive Design Theory and Implementation Using SAS and R, Second Edition offers a detailed framework to understand the use of various adaptive design methods in clinical trials. New to the Second Edition Twelve new chapters covering blinded and semi-blinded sample size reestimation design, pick-the-winners design, biomarker-informed adaptive design, Bayesian designs, adaptive multiregional trial design, SAS and R for group sequential design, and much more More analytical methods for K-stage adaptive designs, multiple-endpoint adaptive design, survival modeling, and adaptive treatment switching New material on sequential parallel designs with rerandomization and the skeleton approach in adaptive dose-escalation trials Twenty new SAS macros and R functions Enhanced end-of-chapter problems that give readers hands-on practice addressing issues encountered in designing real-life adaptive trials Covering even more adaptive designs, this book provides biostatisticians, clinical scientists, and regulatory reviewers with up-to-date details on this innovative area in pharmaceutical research and development. Practitioners will be able to improve the efficiency of their trial design, thereby reducing the time and cost of drug development.
Download or read book Single Arm Phase II Survival Trial Design written by Jianrong Wu and published by CRC Press. This book was released on 2021-07-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Single-Arm Phase II Survival Trial Design provides a comprehensive summary to the most commonly- used methods for single-arm phase II trial design with time-to-event endpoints. Single-arm phase II trials are a key component for successfully developing advanced cancer drugs and treatments, particular for target therapy and immunotherapy in which time-to-event endpoints are often the primary endpoints. Most test statistics for single-arm phase II trial design with time-to-event endpoints are not available in commercial software. Key Features: Covers the most frequently used methods for single-arm phase II trial design with time-to-event endpoints in a comprehensive fashion. Provides new material on phase II immunotherapy trial design and phase II trial design with TTP ratio endpoint. Illustrates trial designs by real clinical trial examples Includes R code for all methods proposed in the book, enabling straightforward sample size calculation.
Download or read book Bayesian Statistics A Review written by D. V. Lindley and published by SIAM. This book was released on 1972-01-31 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of those statistical ideas that use a probability distribution over parameter space. The first part describes the axiomatic basis in the concept of coherence and the implications of this for sampling theory statistics. The second part discusses the use of Bayesian ideas in many branches of statistics.
Download or read book Sample Size Determination and Power written by Thomas P. Ryan and published by John Wiley & Sons. This book was released on 2013-05-28 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive approach to sample size determination and power with applications for a variety of fields Sample Size Determination and Power features a modern introduction to the applicability of sample size determination and provides a variety of discussions on broad topics including epidemiology, microarrays, survival analysis and reliability, design of experiments, regression, and confidence intervals. The book distinctively merges applications from numerous fields such as statistics, biostatistics, the health sciences, and engineering in order to provide a complete introduction to the general statistical use of sample size determination. Advanced topics including multivariate analysis, clinical trials, and quality improvement are addressed, and in addition, the book provides considerable guidance on available software for sample size determination. Written by a well-known author who has extensively class-tested the material, Sample Size Determination and Power: Highlights the applicability of sample size determination and provides extensive literature coverage Presents a modern, general approach to relevant software to guide sample size determination including CATD (computer-aided trial design) Addresses the use of sample size determination in grant proposals and provides up-to-date references for grant investigators An appealing reference book for scientific researchers in a variety of fields, such as statistics, biostatistics, the health sciences, mathematics, ecology, and geology, who use sampling and estimation methods in their work, Sample Size Determination and Power is also an ideal supplementary text for upper-level undergraduate and graduate-level courses in statistical sampling.
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
