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Bayesian Analysis Of Random Effect Models In The Analysis Of Variance Ii Effect Of Autocorrelated Errors
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Book Synopsis Bayesian Analysis of Random-effect Models in the Analysis of Variance. Ii. Effect of Autocorrelated Errors by : George C. Tiao
Download or read book Bayesian Analysis of Random-effect Models in the Analysis of Variance. Ii. Effect of Autocorrelated Errors written by George C. Tiao and published by . This book was released on 1965 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bayesian Analysis of Random-effect Models in the Analysis of Variance. I. Posterior Distribution of Variance-components by : George C. TIAO
Download or read book Bayesian Analysis of Random-effect Models in the Analysis of Variance. I. Posterior Distribution of Variance-components written by George C. TIAO and published by . This book was released on 1964 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bayesian Analysis of Random Effect Models by : W. Y. Tan
Download or read book Bayesian Analysis of Random Effect Models written by W. Y. Tan and published by . This book was released on 1964 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Decision Theory and Bayesian Analysis by : James O. Berger
Download or read book Statistical Decision Theory and Bayesian Analysis written by James O. Berger and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new edition the author has added substantial material on Bayesian analysis, including lengthy new sections on such important topics as empirical and hierarchical Bayes analysis, Bayesian calculation, Bayesian communication, and group decision making. With these changes, the book can be used as a self-contained introduction to Bayesian analysis. In addition, much of the decision-theoretic portion of the text was updated, including new sections covering such modern topics as minimax multivariate (Stein) estimation.
Book Synopsis Bayesian Inference in Statistical Analysis by : George E. P. Box
Download or read book Bayesian Inference in Statistical Analysis written by George E. P. Box and published by John Wiley & Sons. This book was released on 2011-01-25 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Its main objective is to examine the application and relevance of Bayes' theorem to problems that arise in scientific investigation in which inferences must be made regarding parameter values about which little is known a priori. Begins with a discussion of some important general aspects of the Bayesian approach such as the choice of prior distribution, particularly noninformative prior distribution, the problem of nuisance parameters and the role of sufficient statistics, followed by many standard problems concerned with the comparison of location and scale parameters. The main thrust is an investigation of questions with appropriate analysis of mathematical results which are illustrated with numerical examples, providing evidence of the value of the Bayesian approach.
Book Synopsis Bayesian Data Analysis by : Andrew Gelman
Download or read book Bayesian Data Analysis written by Andrew Gelman and published by CRC Press. This book was released on 2013-11-27 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 2016 De Groot Prize from the International Society for Bayesian AnalysisNow 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
Book Synopsis Bayesian Data Analysis, Second Edition by : Andrew Gelman
Download or read book Bayesian Data Analysis, Second Edition written by Andrew Gelman and published by CRC Press. This book was released on 2003-07-29 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incorporating new and updated information, this second edition of THE bestselling text in Bayesian data analysis continues to emphasize practice over theory, describing how to conceptualize, perform, and critique statistical analyses from a Bayesian perspective. Its world-class authors provide guidance on all aspects of Bayesian data analysis and include examples of real statistical analyses, based on their own research, that demonstrate how to solve complicated problems. Changes in the new edition include: Stronger focus on MCMC Revision of the computational advice in Part III New chapters on nonlinear models and decision analysis Several additional applied examples from the authors' recent research Additional chapters on current models for Bayesian data analysis such as nonlinear models, generalized linear mixed models, and more Reorganization of chapters 6 and 7 on model checking and data collection Bayesian computation is currently at a stage where there are many reasonable ways to compute any given posterior distribution. However, the best approach is not always clear ahead of time. Reflecting this, the new edition offers a more pluralistic presentation, giving advice on performing computations from many perspectives while making clear the importance of being aware that there are different ways to implement any given iterative simulation computation. The new approach, additional examples, and updated information make Bayesian Data Analysis an excellent introductory text and a reference that working scientists will use throughout their professional life.
Book Synopsis Analysis of Variance for Random Models by : Hardeo Sahai
Download or read book Analysis of Variance for Random Models written by Hardeo Sahai and published by Birkhäuser. This book was released on 2004-05-27 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: ANOVA models involving random effects have found widespread application to experimental design in varied fields such as biology, econometrics, and engineering. Volume I of this two-part work is a comprehensive presentation of methods and techniques for point estimation, interval estimation, and hypotheses tests for linear models involving random effects. Volume I examines models with balanced data (orthogonal models); Volume II studies models with unbalanced data (non-orthogonal models). Accessible to readers with a modest mathematical and statistical background, the work will appeal to a broad audience of graduate students, researchers, and practitioners. It can be used as a graduate text or as a self-study reference.
Book Synopsis Bayesian Statistics, A Review by : D. V. Lindley
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 100 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 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:
Book Synopsis Variance Components by : Shayle R. Searle
Download or read book Variance Components written by Shayle R. Searle and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. ". . .Variance Components is an excellent book. It is organized and well written, and provides many references to a variety of topics. I recommend it to anyone with interest in linear models." —Journal of the American Statistical Association "This book provides a broad coverage of methods for estimating variance components which appeal to students and research workers . . . The authors make an outstanding contribution to teaching and research in the field of variance component estimation." —Mathematical Reviews "The authors have done an excellent job in collecting materials on a broad range of topics. Readers will indeed gain from using this book . . . I must say that the authors have done a commendable job in their scholarly presentation." —Technometrics This book focuses on summarizing the variability of statistical data known as the analysis of variance table. Penned in a readable style, it provides an up-to-date treatment of research in the area. The book begins with the history of analysis of variance and continues with discussions of balanced data, analysis of variance for unbalanced data, predictions of random variables, hierarchical models and Bayesian estimation, binary and discrete data, and the dispersion mean model.
Book Synopsis Frontiers In Statistics by : Jianqing Fan
Download or read book Frontiers In Statistics written by Jianqing Fan and published by World Scientific. This book was released on 2006-07-17 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last two decades, many areas of statistical inference have experienced phenomenal growth. This book presents a timely analysis and overview of some of these new developments and a contemporary outlook on the various frontiers of statistics.Eminent leaders in the field have contributed 16 review articles and 6 research articles covering areas including semi-parametric models, data analytical nonparametric methods, statistical learning, network tomography, longitudinal data analysis, financial econometrics, time series, bootstrap and other re-sampling methodologies, statistical computing, generalized nonlinear regression and mixed effects models, martingale transform tests for model diagnostics, robust multivariate analysis, single index models and wavelets.This volume is dedicated to Prof. Peter J Bickel in honor of his 65th birthday. The first article of this volume summarizes some of Prof. Bickel's distinguished contributions.
Book Synopsis Bayesian Analysis for Random Effects Models by : Catherine Chunling Liu
Download or read book Bayesian Analysis for Random Effects Models written by Catherine Chunling Liu and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random effects models have been widely used to analyze correlated data sets, and Bayesian techniques have emerged as a powerful tool to fit the models. However, there has been scarce literature that systematically reviews and summarizes the recent advances of Bayesian analyses of random effects models. This chapter reviews the use of the Dirichlet process mixture (DPM) prior to approximate the distribution of random errors within the general semiparametric random effects models with parametric random effects for longitudinal data setting and failure time setting separately. In a survival setting with clusters, we propose a new class of nonparametric random effects models which is motivated from the accelerated failure models. We employ a beta process prior to tact clustering and estimation simultaneously. We analyze a new data set integrated from Alzheimer,Äôs disease (AD) study to illustrate the presented model and methods.
Book Synopsis Statistical Inference in Random Coefficient Regression Models by : P.A.V.B. Swamy
Download or read book Statistical Inference in Random Coefficient Regression Models written by P.A.V.B. Swamy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short monograph which presents a unified treatment of the theory of estimating an economic relationship from a time series of cross-sections, is based on my Ph. D. dissertation submitted to the University of Wisconsin, Madison. To the material developed for that purpose, I have added the substance of two subsequent papers: "Efficient methods of estimating a regression equation with equi-correlated disturbances", and "The exact finite sample properties of estimators of coefficients in error components regression models" (with Arora) which form the basis for Chapters 11 and III respectively. One way of increasing the amount of statistical information is to assemble the cross-sections of successive years. To analyze such a body of data the traditional linear regression model is not appropriate and we have to introduce some additional complications and assumptions due to the hetero geneity of behavior among individuals. These complications have been discussed in this monograph. Limitations of economic data, particularly their non-experimental nature, do not permit us to know a priori the correct specification of a model. I have considered several different sets of assumptionR about the stability of coeffi cients and error variances across individuals and developed appropriate inference procedures. I have considered only those sets of assumptions which lead to opera tional procedures. Following the suggestions of Kuh, Klein and Zellner, I have adopted the linear regression models with some or all of their coefficients varying randomly across individuals.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Methods for the Environmental Sciences by : A.H. El-Shaarawi
Download or read book Statistical Methods for the Environmental Sciences written by A.H. El-Shaarawi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Selection of Papers Presented at the Conference on Environmetrics, held in Cairo, Egypt, April 4-7, 1989
Book Synopsis Bayesian Modeling of Single Case Research Design Data in the Presence of Autocorrelation by : Erkan Sayilir
Download or read book Bayesian Modeling of Single Case Research Design Data in the Presence of Autocorrelation written by Erkan Sayilir and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the current study, I intended to simulate single case research design (SCRD) data to investigate the impact of the presence of autocorrelation on analysis of SCRD for Bayesian method under a variety of simulation conditions. The purpose of this study is to analyze the results of data obtained in the context of an individual single-case study, for a variety of simulation conditions such as varying sample sizes, varying numbers of measurement observations, and the presence of varied levels of autocorrelation. Then I compared performance of both methods using Bias, Percentage Bias (PB), Mean Square Error (MSE), Power, and DIC statistics. Analysis of variance (ANOVA) was implemented to analyze the summary statistics and compare performance of both approaches. Another goal of this study was to develop and fit several Bayesian models from simple model to a complex model to evaluate the significance of the model parameters in a SCRD in the presence of autocorrelation. Also, the effect of using a scaled-inverse Wishart distribution over parameter estimation as a prior distribution for covariance matrix of parameters was explored. It was found that the performance of the Bayesian models in this study was satisfactory, except that of the Scaled inverse-Wishart distribution with autocorrelated error (Model 3B). It produced extremely large biased estimates, percentage bias (PB), standardized bias (SB) and mean square error (MSE) for most of the simulation conditions. On the other hand, the Scaled-inverse Wishart distribution performed well if serial dependency was not taken into account across simulation conditions. Also, the SB was around 5%, bias still had an adverse effect on the coverage rates of the models. A poor convergence rate was observed for SIW regardless of modeling autocorrelation and convergence was not reached for Random Slopes Model (RSM) for some of the simulation conditions when autocorrelation was considered. Although mean standardized biases of the models were around 5%, it is likely that having larger standard error for the models had effects on the power and the coverage rates of the models. In most cases, coverage rate under 95% were observed, which means under-coverage and indicates higher Type- I error rate should be expected.
