Confidence Intervals On Variance Components

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Confidence Intervals on Variance Components

Author : Burdick
Publisher : CRC Press
Page : 238 pages
File Size : 44,5 Mb
Release : 1992-02-28
Category : Mathematics
ISBN : 0824786440

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Confidence Intervals on Variance Components by Burdick Pdf

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

Design and Analysis of Experiments

Author : Douglas C. Montgomery
Publisher : John Wiley & Sons
Page : 413 pages
File Size : 41,9 Mb
Release : 2008-07-28
Category : Technology & Engineering
ISBN : 9780470128664

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Design and Analysis of Experiments by Douglas C. Montgomery Pdf

This bestselling professional reference has helped over 100,000 engineers and scientists with the success of their experiments. The new edition includes more software examples taken from the three most dominant programs in the field: Minitab, JMP, and SAS. Additional material has also been added in several chapters, including new developments in robust design and factorial designs. New examples and exercises are also presented to illustrate the use of designed experiments in service and transactional organizations. Engineers will be able to apply this information to improve the quality and efficiency of working systems.

Variance Components

Author : Poduri S.R.S. Rao
Publisher : CRC Press
Page : 232 pages
File Size : 43,5 Mb
Release : 1997-06-01
Category : Mathematics
ISBN : 0412728605

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Variance Components by Poduri S.R.S. Rao Pdf

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.

Analysis of Messy Data Volume 1

Author : George A. Milliken,Dallas E. Johnson
Publisher : CRC Press
Page : 690 pages
File Size : 42,9 Mb
Release : 2009-03-02
Category : Mathematics
ISBN : 9781420010152

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Analysis of Messy Data Volume 1 by George A. Milliken,Dallas E. Johnson Pdf

A bestseller for nearly 25 years, Analysis of Messy Data, Volume 1: Designed Experiments helps applied statisticians and researchers analyze the kinds of data sets encountered in the real world. Written by two long-time researchers and professors, this second edition has been fully updated to reflect the many developments that have occurred since t

Analysis of Variance for Random Models

Author : Hardeo Sahai,Mario M. Ojeda
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 40,7 Mb
Release : 2004-05-27
Category : Mathematics
ISBN : 0817632301

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Analysis of Variance for Random Models by Hardeo Sahai,Mario M. Ojeda Pdf

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.

Variance Components

Author : Shayle R. Searle,George Casella,Charles E. McCulloch
Publisher : John Wiley & Sons
Page : 537 pages
File Size : 46,7 Mb
Release : 2009-09-25
Category : Mathematics
ISBN : 9780470317693

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Variance Components by Shayle R. Searle,George Casella,Charles E. McCulloch Pdf

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.

Design and Analysis of Experiments with SAS

Author : John Lawson
Publisher : CRC Press
Page : 598 pages
File Size : 53,7 Mb
Release : 2010-05-04
Category : Mathematics
ISBN : 9781420060607

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Design and Analysis of Experiments with SAS by John Lawson Pdf

A culmination of the author’s many years of consulting and teaching, Design and Analysis of Experiments with SAS provides practical guidance on the computer analysis of experimental data. It connects the objectives of research to the type of experimental design required, describes the actual process of creating the design and collecting the data, shows how to perform the proper analysis of the data, and illustrates the interpretation of results. Drawing on a variety of application areas, from pharmaceuticals to machinery, the book presents numerous examples of experiments and exercises that enable students to perform their own experiments. Harnessing the capabilities of SAS 9.2, it includes examples of SAS data step programming and IML, along with procedures from SAS Stat, SAS QC, and SAS OR. The text also shows how to display experimental results graphically using SAS ODS graphics. The author emphasizes how the sample size, the assignment of experimental units to combinations of treatment factor levels (error control), and the selection of treatment factor combinations (treatment design) affect the resulting variance and bias of estimates as well as the validity of conclusions. This textbook covers both classical ideas in experimental design and the latest research topics. It clearly discusses the objectives of a research project that lead to an appropriate design choice, the practical aspects of creating a design and performing experiments, and the interpretation of the results of computer data analysis. SAS code and ancillaries are available at http://lawson.mooo.com

Psychometrics

Author : C.R. Rao,Sandip Sinharay
Publisher : Elsevier
Page : 1191 pages
File Size : 55,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9780444521033

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Psychometrics by C.R. Rao,Sandip Sinharay Pdf

This volume, representing a compilation of authoritative reviews on a multitude of uses of statistics in epidemiology and medical statistics written by internationally renowned experts, is addressed to statisticians working in biomedical and epidemiological fields who use statistical and quantitative methods in their work. While the use of statistics in these fields has a long and rich history, explosive growth of science in general and clinical and epidemiological sciences in particular have gone through a see of change, spawning the development of new methods and innovative adaptations of standard methods. Since the literature is highly scattered, the Editors have undertaken this humble exercise to document a representative collection of topics of broad interest to diverse users. The volume spans a cross section of standard topics oriented toward users in the current evolving field, as well as special topics in much need which have more recent origins. This volume was prepared especially keeping the applied statisticians in mind, emphasizing applications-oriented methods and techniques, including references to appropriate software when relevant. The contributors are internationally renowned experts in their respective areas. This volume addresses emerging statistical challenges in epidemiological, biomedical, and pharmaceutical research. It features: methods for assessing Biomarkers, analysis of competing risks; clinical trials including sequential and group sequential, crossover designs, cluster randomized, and adaptive designs; and, structural equations modelling and longitudinal data analysis.

Generalizability Theory

Author : Robert L. Brennan
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 52,9 Mb
Release : 2001-08-09
Category : Education
ISBN : 0387952829

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Generalizability Theory by Robert L. Brennan Pdf

Generalizability theory offers an extensive conceptual framework and a powerful set of statistical procedures for characterizing and quantifying the fallibility of measurements. Robert Brennan, the author, has written the most comprehensive and up-to-date treatment of generalizability theory. The book provides a synthesis of those parts of the statistical literature that are directly applicable to generalizability theory. The principal intended audience is measurement practitioners and graduate students in the behavioral and social sciences, although a few examples and references are provided from other fields. Readers will benefit from some familiarity with classical test theory and analysis of variance, but the treatment of most topics does not presume specific background.

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

Author : Hardeo Sahai,Mario M. Ojeda
Publisher : Springer Science & Business Media
Page : 480 pages
File Size : 55,6 Mb
Release : 2007-07-03
Category : Mathematics
ISBN : 9780817644253

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Analysis of Variance for Random Models, Volume 2: Unbalanced Data by Hardeo Sahai,Mario M. Ojeda Pdf

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.

Analysis of Variance for Random Models

Author : Hardeo Sahai,Mario M. Ojeda
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 52,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9780817681685

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Analysis of Variance for Random Models by Hardeo Sahai,Mario M. Ojeda Pdf

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.

Applied Multivariate Analysis

Author : Neil H. Timm
Publisher : Springer Science & Business Media
Page : 709 pages
File Size : 47,9 Mb
Release : 2007-06-21
Category : Mathematics
ISBN : 9780387227719

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Applied Multivariate Analysis by Neil H. Timm Pdf

This book provides a broad overview of the basic theory and methods of applied multivariate analysis. The presentation integrates both theory and practice including both the analysis of formal linear multivariate models and exploratory data analysis techniques. Each chapter contains the development of basic theoretical results with numerous applications illustrated using examples from the social and behavioral sciences, and other disciplines. All examples are analyzed using SAS for Windows Version 8.0.

Linear and Generalized Linear Mixed Models and Their Applications

Author : Jiming Jiang
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 43,9 Mb
Release : 2007-05-30
Category : Mathematics
ISBN : 9780387479460

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Linear and Generalized Linear Mixed Models and Their Applications by Jiming Jiang Pdf

This book covers two major classes of mixed effects models, linear mixed models and generalized linear mixed models. It presents an up-to-date account of theory and methods in analysis of these models as well as their applications in various fields. The book offers a systematic approach to inference about non-Gaussian linear mixed models. Furthermore, it includes recently developed methods, such as mixed model diagnostics, mixed model selection, and jackknife method in the context of mixed models. The book is aimed at students, researchers and other practitioners who are interested in using mixed models for statistical data analysis.

Design and Analysis of Gauge R and R Studies

Author : Richard K. Burdick,Connie M. Borror,Douglas C. Montgomery
Publisher : SIAM
Page : 214 pages
File Size : 46,9 Mb
Release : 2005-01-01
Category : Technology & Engineering
ISBN : 9780898715880

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Design and Analysis of Gauge R and R Studies by Richard K. Burdick,Connie M. Borror,Douglas C. Montgomery Pdf

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.