Formal Bayes Estimation with Application to a Random Effects Analysis of Variance Model

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ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Formal Bayes Estimation with Application to a Random Effects Analysis of Variance Model by : Stanford University. Department of Statistics

Download or read book Formal Bayes Estimation with Application to a Random Effects Analysis of Variance Model written by Stanford University. Department of Statistics and published by . This book was released on 1969 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques of formal Bayes estimation are discussed and applied to the estimation of the components of variance in the one way layout random effects ANOVA model. Invariant formal Bayes estimators are presented and proved to be admissible in certain classes of invariant rules and also minimax. To do this a general sufficient condition for admissible in certain multiparameter problems is given and applied to the ANOVA problem. Numerical calculations of mean squared errors of various estimators are also presented, and these results help justify the recommendation of the formal Bayes estimators. (Author).

Analysis of Variance for Random Models

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817632304
Total Pages : 520 pages
Book Rating : 4.6/5 (323 download)

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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 Springer Science & Business Media. This book was released on 2004-05-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of variance (ANOVA) models have become widely used tools and play a fundamental role in much of the application of statistics today. In particular, ANOVA models involving random effects have found widespread application to experimental design in a variety of fields requiring measurements of variance, including agriculture, biology, animal breeding, applied genetics, econometrics, quality control, medicine, engineering, and social sciences. This two-volume work is a comprehensive presentation of different methods and techniques for point estimation, interval estimation, and tests of hypotheses for linear models involving random effects. Both Bayesian and repeated sampling procedures are considered. Volume I examines models with balanced data (orthogonal models); Volume II studies models with unbalanced data (nonorthogonal models). Features and Topics: * Systematic treatment of the commonly employed crossed and nested classification models used in analysis of variance designs * Detailed and thorough discussion of certain random effects models not commonly found in texts at the introductory or intermediate level * Numerical examples to analyze data from a wide variety of disciplines * Many worked examples containing computer outputs from standard software packages such as SAS, SPSS, and BMDP for each numerical example * Extensive exercise sets at the end of each chapter * Numerous appendices with background reference concepts, terms, and results * Balanced coverage of theory, methods, and practical applications * Complete citations of important and related works at the end of each chapter, as well as an extensive general bibliography Accessible to readers with only a modest mathematical and statistical background, the work will appeal to a broad audience of students, researchers, and practitioners in the mathematical, life, social, and engineering sciences. It may be used as a textbook in upper-level undergraduate and graduate courses, or as a reference for readers interested in the use of random effects models for data analysis.

Bayesian Analysis of Random-effect Models in the Analysis of Variance. I. Posterior Distribution of Variance-components

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ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (227 download)

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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:

Bayesian Analysis of Random Effect Models

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ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.:/5 (89 download)

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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:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 1202 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 1202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bayesian Analysis of Random-effect Models in the Analysis of Variance. Ii. Effect of Autocorrelated Errors

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ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (227 download)

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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:

Bayesian Estimation and Experimental Design in Linear Regression Models

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Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bayesian Estimation and Experimental Design in Linear Regression Models by : Jürgen Pilz

Download or read book Bayesian Estimation and Experimental Design in Linear Regression Models written by Jürgen Pilz and published by . This book was released on 1991-07-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a clear treatment of the design and analysis of linear regression experiments in the presence of prior knowledge about the model parameters. Develops a unified approach to estimation and design; provides a Bayesian alternative to the least squares estimator; and indicates methods for the construction of optimal designs for the Bayes estimator. Material is also applicable to some well-known estimators using prior knowledge that is not available in the form of a prior distribution for the model parameters; such as mixed linear, minimax linear and ridge-type estimators.

Statistical Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461239907
Total Pages : 332 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Statistical Theory and Applications by : H.N. Nagaraja

Download or read book Statistical Theory and Applications written by H.N. Nagaraja and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Herbert A. David of Iowa State University will be turning 70 on December 19, 1995. He is reaching this milestone in life with a very distinguished career as a statistician, educator and administrator. We are bringing out this volume in his honor to celebrate this occasion and to recognize his contributions to order statistics, biostatistics and design of experiments, among others; and to the statistical profession in general. With great admiration, respect and pleasure we dedicate this festschrift to Professor Herbert A. David, also known as Herb and H.A. among his friends, colleagues and students. When we began this project in Autumn 1993 and contacted potential contributors from the above group, the enthu siasm was phenomenal. The culmination of this collective endeavor is this volume that is being dedicated to him to celebrate his upcoming birthday. Several individuals have contributed in various capacities to the success ful completion of this project. We sincerely thank the authors of the papers appearing here. Without their dedicated work, we would just have this pref ace! Many of them have served as (anonymous) referees as well. In addition, we are thankful to the following colleagues for their time and advice: John Bunge (Cornell), Z. Govindarajulu (Kentucky), John Klein (Medical U.

Bayesian Inference in Statistical Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 111803144X
Total Pages : 610 pages
Book Rating : 4.1/5 (18 download)

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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.

University of Michigan Official Publication

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Publisher : UM Libraries
ISBN 13 :
Total Pages : 1202 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis University of Michigan Official Publication by : University of Michigan

Download or read book University of Michigan Official Publication written by University of Michigan and published by UM Libraries. This book was released on 1974 with total page 1202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each number is the catalogue of a specific school or college of the University.

Beyond ANOVA

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Publisher : CRC Press
ISBN 13 : 9780412070112
Total Pages : 340 pages
Book Rating : 4.0/5 (71 download)

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Book Synopsis Beyond ANOVA by : Rupert G. Miller, Jr.

Download or read book Beyond ANOVA written by Rupert G. Miller, Jr. and published by CRC Press. This book was released on 1997-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renowned statistician R.G. Miller set the pace for statistics students with Beyond ANOVA: Basics of Applied Statistics. Designed to show students how to work with a set of "real world data," Miller's text goes beyond any specific discipline, and considers a whole variety of techniques from ANOVA to empirical Bayes methods; the jackknife, bootstrap methods; and the James-Stein estimator. This reissue of Miller's classic book has been revised by professors at Stanford University, California. As before, one of the main strengths of Beyond ANOVA is its promotion of the use of the most straightforward data analysis methods-giving students a viable option, instead of resorting to complicated and unnecessary tests. Assuming a basic background in statistics, Beyond ANOVA is written for undergraduates and graduate statistics students. Its approach will also be valued by biologists, social scientists, engineers, and anyone who may wish to handle their own data analysis.

Current Index to Statistics, Applications, Methods and Theory

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ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Current Index to Statistics, Applications, Methods and Theory by :

Download or read book Current Index to Statistics, Applications, Methods and Theory written by and published by . This book was released on 1997 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.

Foundations of Statistical Inference

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Publisher : Holt McDougal
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Foundations of Statistical Inference by : René Descartes Foundation

Download or read book Foundations of Statistical Inference written by René Descartes Foundation and published by Holt McDougal. This book was released on 1971 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Survey of Statistical Design and Linear Models

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Publisher : North-Holland
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Survey of Statistical Design and Linear Models by : Jagdish Narain Srivastava

Download or read book A Survey of Statistical Design and Linear Models written by Jagdish Narain Srivastava and published by North-Holland. This book was released on 1975 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises of papers presented at an International Symposium on Statistical Design and Linear Models, held in Colorado, 1973.

Multilevel Modeling Techniques and Applications in Institutional Research

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Publisher : John Wiley & Sons
ISBN 13 : 111845734X
Total Pages : 163 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Multilevel Modeling Techniques and Applications in Institutional Research by : Joe L. Lott

Download or read book Multilevel Modeling Techniques and Applications in Institutional Research written by Joe L. Lott and published by John Wiley & Sons. This book was released on 2013-02-22 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multilevel modeling is an increasingly popular multivariate technique that is widely applied in the social sciences. Increasingly, practitioners are making instructional decisions based on results from their multivariate analyses, which often come from nested data that lend themselves to multilevel modeling techniques. As data-driven decision making becomes more critical to colleges and universities, multilevel modeling is a tool that will lead to more efficient estimates and enhance understanding of complex relationships. This volume illustrates both the theoretical underpinnings and practical applications of multilevel modeling in IR. It introduces the fundamental concepts of multilevel modeling techniques in a conceptual and technical manner. Providing a range of examples of nested models that are based on linear and categorical outcomes, it then offers important suggestions about presenting results of multilevel models through charts and graphs. This is the 154th volume of this Jossey-Bass quarterly report series. Always timely and comprehensive, New Directions for Institutional Research provides planners and administrators in all types of academic institutions with guidelines in such areas as resource coordination, information analysis, program evaluation, and institutional management.

Empirical Bayes Estimation

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ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Empirical Bayes Estimation by : Harold Macolm Hudson

Download or read book Empirical Bayes Estimation written by Harold Macolm Hudson and published by . This book was released on 1974 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Notices of the American Mathematical Society

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ISBN 13 :
Total Pages : 1356 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1969 with total page 1356 pages. Available in PDF, EPUB and Kindle. Book excerpt: