Confidence Intervals On Proportions Of Varianaces In Unbalanced One Way Components Of Variance Models

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Analysis of Variance, Design, and Regression

Author : Ronald Christensen
Publisher : CRC Press
ISBN 13 : 9780412062919
Total Pages : 608 pages
Book Rating : 4.0/5 (629 download)

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Book Synopsis Analysis of Variance, Design, and Regression by : Ronald Christensen

Download or read book Analysis of Variance, Design, and Regression written by Ronald Christensen and published by CRC Press. This book was released on 1996-06-01 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a comprehensive treatment of basic statistical methods and their applications. It focuses on the analysis of variance and regression, but also addressing basic ideas in experimental design and count data. The book has four connecting themes: similarity of inferential procedures, balanced one-way analysis of variance, comparison of models, and checking assumptions. Most inferential procedures are based on identifying a scalar parameter of interest, estimating that parameter, obtaining the standard error of the estimate, and identifying the appropriate reference distribution. Given these items, the inferential procedures are identical for various parameters. Balanced one-way analysis of variance has a simple, intuitive interpretation in terms of comparing the sample variance of the group means with the mean of the sample variance for each group. All balanced analysis of variance problems are considered in terms of computing sample variances for various group means. Comparing different models provides a structure for examining both balanced and unbalanced analysis of variance problems and regression problems. Checking assumptions is presented as a crucial part of every statistical analysis. Examples using real data from a wide variety of fields are used to motivate theory. Christensen consistently examines residual plots and presents alternative analyses using different transformation and case deletions. Detailed examination of interactions, three factor analysis of variance, and a split-plot design with four factors are included. The numerous exercises emphasize analysis of real data. Senior undergraduate and graduate students in statistics and graduate students in other disciplines using analysis of variance, design of experiments, or regression analysis will find this book useful.

Confidence Intervals on Variance Components

Author : Burdick
Publisher : CRC Press
ISBN 13 : 9780824786441
Total Pages : 238 pages
Book Rating : 4.7/5 (864 download)

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Book Synopsis Confidence Intervals on Variance Components by : Burdick

Download or read book Confidence Intervals on Variance Components written by Burdick and published by CRC Press. This book was released on 1992-02-28 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summarizes information scattered in the technical literature on a subject too new to be included in most textbooks, but which is of interest to statisticians, and those who use statistics in science and education, at an advanced undergraduate or higher level. Overviews recent research on constructin

Variance Components

Author : Shayle R. Searle
Publisher : John Wiley & Sons
ISBN 13 : 0470317698
Total Pages : 537 pages
Book Rating : 4.4/5 (73 download)

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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.

Analysis of Variance for Random Models, Volume 2: Unbalanced Data

Author : Hardeo Sahai
Publisher : Springer Science & Business Media
ISBN 13 : 0817644253
Total Pages : 493 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Analysis of Variance for Random Models, Volume 2: Unbalanced Data by : Hardeo Sahai

Download or read book Analysis of Variance for Random Models, Volume 2: Unbalanced Data written by Hardeo Sahai and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematic treatment of the commonly employed crossed and nested classification models used in analysis of variance designs with a detailed and thorough discussion of certain random effects models not commonly found in texts at the introductory or intermediate level. It also includes numerical examples to analyze data from a wide variety of disciplines as well as any worked examples containing computer outputs from standard software packages such as SAS, SPSS, and BMDP for each numerical example.

NBS Special Publication

Author :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NBS Special Publication by :

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:

Exact Statistical Methods for Data Analysis

Author : Samaradasa Weerahandi
Publisher : Springer Science & Business Media
ISBN 13 : 1461208254
Total Pages : 343 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Exact Statistical Methods for Data Analysis by : Samaradasa Weerahandi

Download or read book Exact Statistical Methods for Data Analysis written by Samaradasa Weerahandi and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in paperback, this book covers some recent developments in statistical inference. It provides methods applicable in problems involving nuisance parameters such as those encountered in comparing two exponential distributions or in ANOVA without the assumption of equal error variances. The generalized procedures are shown to be more powerful in detecting significant experimental results and in avoiding misleading conclusions.

Proceedings, 3rd International Biometric Conference, Hotel Grande Bretagne, Bellagio (Como), Italy, Septmeber 1-5, 1953

Author :
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (21 download)

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Book Synopsis Proceedings, 3rd International Biometric Conference, Hotel Grande Bretagne, Bellagio (Como), Italy, Septmeber 1-5, 1953 by :

Download or read book Proceedings, 3rd International Biometric Conference, Hotel Grande Bretagne, Bellagio (Como), Italy, Septmeber 1-5, 1953 written by and published by . This book was released on 1953 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Tolerance Regions

Author : Kalimuthu Krishnamoorthy
Publisher : John Wiley & Sons
ISBN 13 : 0470473894
Total Pages : 494 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Statistical Tolerance Regions by : Kalimuthu Krishnamoorthy

Download or read book Statistical Tolerance Regions written by Kalimuthu Krishnamoorthy and published by John Wiley & Sons. This book was released on 2009-05-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern and comprehensive treatment of tolerance intervals and regions The topic of tolerance intervals and tolerance regions has undergone significant growth during recent years, with applications arising in various areas such as quality control, industry, and environmental monitoring. Statistical Tolerance Regions presents the theoretical development of tolerance intervals and tolerance regions through computational algorithms and the illustration of numerous practical uses and examples. This is the first book of its kind to successfully balance theory and practice, providing a state-of-the-art treatment on tolerance intervals and tolerance regions. The book begins with the key definitions, concepts, and technical results that are essential for deriving tolerance intervals and tolerance regions. Subsequent chapters provide in-depth coverage of key topics including: Univariate normal distribution Non-normal distributions Univariate linear regression models Nonparametric tolerance intervals The one-way random model with balanced data The multivariate normal distribution The one-way random model with unbalanced data The multivariate linear regression model General mixed models Bayesian tolerance intervals A final chapter contains coverage of miscellaneous topics including tolerance limits for a ratio of normal random variables, sample size determination, reference limits and coverage intervals, tolerance intervals for binomial and Poisson distributions, and tolerance intervals based on censored samples. Theoretical explanations are accompanied by computational algorithms that can be easily replicated by readers, and each chapter contains exercise sets for reinforcement of the presented material. Detailed appendices provide additional data sets and extensive tables of univariate and multivariate tolerance factors. Statistical Tolerance Regions is an ideal book for courses on tolerance intervals at the graduate level. It is also a valuable reference and resource for applied statisticians, researchers, and practitioners in industry and pharmaceutical companies.

An Author and Permuted Title Index to Selected Statistical Journals

Author : Brian L. Joiner
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Author and Permuted Title Index to Selected Statistical Journals by : Brian L. Joiner

Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by Brian L. Joiner and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.

Current Index to Statistics, Applications, Methods and Theory

Author :
Publisher :
ISBN 13 :
Total Pages : 772 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 1994 with total page 772 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.

Statistical Tests for Mixed Linear Models

Author : André I. Khuri
Publisher : John Wiley & Sons
ISBN 13 : 1118164857
Total Pages : 384 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Statistical Tests for Mixed Linear Models by : André I. Khuri

Download or read book Statistical Tests for Mixed Linear Models written by André I. Khuri and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced discussion of linear models with mixed or randomeffects. In recent years a breakthrough has occurred in our ability todraw inferences from exact and optimum tests of variance componentmodels, generating much research activity that relies on linearmodels with mixed and random effects. This volume covers the mostimportant research of the past decade as well as the latestdevelopments in hypothesis testing. It compiles all currentlyavailable results in the area of exact and optimum tests forvariance component models and offers the only comprehensivetreatment for these models at an advanced level. Statistical Tests for Mixed Linear Models: Combines analysis and testing in one self-containedvolume. Describes analysis of variance (ANOVA) procedures in balancedand unbalanced data situations. Examines methods for determining the effect of imbalance ondata analysis. Explains exact and optimum tests and methods for theirderivation. Summarizes test procedures for multivariate mixed and randommodels. Enables novice readers to skip the derivations and discussionson optimum tests. Offers plentiful examples and exercises, manyof which are numerical in flavor. Provides solutions to selected exercises. Statistical Tests for Mixed Linear Models is an accessiblereference for researchers in analysis of variance, experimentaldesign, variance component analysis, and linear mixed models. It isalso an important text for graduate students interested in mixedmodels.

Linear Model Methodology

Author : Andre I. Khuri
Publisher : CRC Press
ISBN 13 : 1420010441
Total Pages : 562 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Linear Model Methodology by : Andre I. Khuri

Download or read book Linear Model Methodology written by Andre I. Khuri and published by CRC Press. This book was released on 2009-10-21 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given the importance of linear models in statistical theory and experimental research, a good understanding of their fundamental principles and theory is essential. Supported by a large number of examples, Linear Model Methodology provides a strong foundation in the theory of linear models and explores the latest developments in data analysis.After

Design and Analysis of Gauge R and R Studies

Author : Richard K. Burdick
Publisher : SIAM
ISBN 13 : 0898715881
Total Pages : 214 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Design and Analysis of Gauge R and R Studies by : Richard K. Burdick

Download or read book Design and Analysis of Gauge R and R Studies written by Richard K. Burdick and published by SIAM. This book was released on 2005-01-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a protocol for conducting gauge repeatability and reproducibility (R&R) experiments. Such an experiment is required whenever a new test system is developed to monitor a manufacturing process. The protocol presented here is used to determine if the testing system is capable of monitoring the manufacturing process with the desired level of accuracy and precision. This protocol is not currently available in other books or technical reports. In addition to providing a protocol for testing a measurement system, the book presents an up-to-date summary of methods used to construct confidence intervals in normal-based random and mixed analysis of variance (ANOVA) models. Thus, this comprehensive book will be useful to scientists in all fields of application who wish to construct interval estimates for ANOVA model parameters. It includes approaches that can be applied to any ANOVA model.

Variance Components

Author : Poduri S.R.S. Rao
Publisher : CRC Press
ISBN 13 : 9780412728600
Total Pages : 232 pages
Book Rating : 4.7/5 (286 download)

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Book Synopsis Variance Components by : Poduri S.R.S. Rao

Download or read book Variance Components written by Poduri S.R.S. Rao and published by CRC Press. This book was released on 1997-06-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variance Components Estimation deals with the evaluation of the variation between observable data or classes of data. This is an up-to-date, comprehensive work that is both theoretical and applied. Topics include ML and REML methods of estimation; Steepest-Acent, Newton-Raphson, scoring, and EM algorithms; MINQUE and MIVQUE, confidence intervals for variance components and their ratios; Bayesian approaches and hierarchical models; mixed models for longitudinal data; repeated measures and multivariate observations; as well as non-linear and generalized linear models with random effects.

Statistics Subject Indexes from Mathematical Reviews

Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Statistics Subject Indexes from Mathematical Reviews by : American Mathematical Society

Download or read book Statistics Subject Indexes from Mathematical Reviews written by American Mathematical Society and published by . This book was released on 1987 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Engineering Statistics

Author : R.Russell Rhinehart
Publisher : Routledge
ISBN 13 : 1351466097
Total Pages : 444 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Applied Engineering Statistics by : R.Russell Rhinehart

Download or read book Applied Engineering Statistics written by R.Russell Rhinehart and published by Routledge. This book was released on 2019-09-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1991. Textbook on the understanding and application of statistical procedures to engineering problems, for practicing engineers who once had an introductory course in statistics, but haven't used the techniques in a long time.

Linear Models

Author : Shayle R. Searle
Publisher : John Wiley & Sons
ISBN 13 : 1118952855
Total Pages : 703 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Linear Models by : Shayle R. Searle

Download or read book Linear Models written by Shayle R. Searle and published by John Wiley & Sons. This book was released on 2016-09-28 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an easy-to-understand guide to statistical linear models and its uses in data analysis This book defines a broad spectrum of statistical linear models that is useful in the analysis of data. Considerable rewriting was done to make the book more reader friendly than the first edition. Linear Models, Second Edition is written in such a way as to be self-contained for a person with a background in basic statistics, calculus and linear algebra. The text includes numerous applied illustrations, numerical examples, and exercises, now augmented with computer outputs in SAS and R. Also new to this edition is: • A greatly improved internal design and format • A short introductory chapter to ease understanding of the order in which topics are taken up • Discussion of additional topics including multiple comparisons and shrinkage estimators • Enhanced discussions of generalized inverses, the MINQUE, Bayes and Maximum Likelihood estimators for estimating variance components Furthermore, in this edition, the second author adds many pedagogical elements throughout the book. These include numbered examples, end-of-example and end-of-proof symbols, selected hints and solutions to exercises available on the book’s website, and references to “big data” in everyday life. Featuring a thorough update, Linear Models, Second Edition includes: • A new internal format, additional instructional pedagogy, selected hints and solutions to exercises, and several more real-life applications • Many examples using SAS and R with timely data sets • Over 400 examples and exercises throughout the book to reinforce understanding Linear Models, Second Edition is a textbook and a reference for upper-level undergraduate and beginning graduate-level courses on linear models, statisticians, engineers, and scientists who use multiple regression or analysis of variance in their work. SHAYLE R. SEARLE, PhD, was Professor Emeritus of Biometry at Cornell University. He was the author of the first edition of Linear Models, Linear Models for Unbalanced Data, and Generalized, Linear, and Mixed Models (with Charles E. McCulloch), all from Wiley. The first edition of Linear Models appears in the Wiley Classics Library. MARVIN H. J. GRUBER, PhD, is Professor Emeritus at Rochester Institute of Technology, School of Mathematical Sciences. Dr. Gruber has written a number of papers and has given numerous presentations at professional meetings during his tenure as a professor at RIT. His fields of interest include regression estimators and the improvement of their efficiency using shrinkage estimators. He has written and published two books on this topic. Another of his books, Matrix Algebra for Linear Models, also published by Wiley, provides good preparation for studying Linear Models. He is a member of the American Mathematical Society, the Institute of Mathematical Statistics and the American Statistical Association.