Components Of Variance

Author : Shayle R. Searle,George Casella,Charles E. McCulloch
Publisher : John Wiley & Sons
Page : 537 pages
File Size : 40,7 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.

Author : D.R. Cox,P.J. Solomon
Publisher : CRC Press
Page : 181 pages
File Size : 40,7 Mb
Release : 2002-07-30
Category : Mathematics
ISBN : 9781482285949

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Components of Variance by D.R. Cox,P.J. Solomon Pdf

The components of variance is a notion essential to statisticians and quantitative research scientists working in a variety of fields, including the biological, genetic, health, industrial, and psychological sciences. Co-authored by Sir David Cox, the pre-eminent statistician in the field, this book provides in-depth discussions that set forth the essential principles of the subject. It focuses on developing the models that form the basis for detailed analyses as well as on the statistical techniques themselves. The authors include a variety of examples from areas such as clinical trial design, plant and animal breeding, industrial design, and psychometrics.

Author : Poduri S.R.S. Rao
Publisher : CRC Press
Page : 232 pages
File Size : 51,8 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.

Author : Burdick
Publisher : CRC Press
Page : 238 pages
File Size : 40,7 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

Author : D.R. Cox,P.J. Solomon
Publisher : CRC Press
Page : 184 pages
File Size : 41,5 Mb
Release : 2002-07-30
Category : Mathematics
ISBN : 1584883545

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Components of Variance by D.R. Cox,P.J. Solomon Pdf

Identifying the sources and measuring the impact of haphazard variations are important in any number of research applications, from clinical trials and genetics to industrial design and psychometric testing. Only in very simple situations can such variations be represented effectively by independent, identically distributed random variables or by random sampling from a hypothetical infinite population. Components of Variance illuminates the complexities of the subject, setting forth its principles with focus on both the development of models for detailed analyses and the statistical techniques themselves. The authors first consider balanced and unbalanced situations, then move to the treatment of non-normal data, beginning with the Poisson and binomial models and followed by extensions to survival data and more general situations. In the final chapter, they discuss ways of extending and assessing various models, including the study of exceedances, the use of nonlinear representations, the study of transformations of the response variable, and the detailed examination of the distributional form of the underlying random variables. Careful signposting and numerous examples from genetic data analysis, clinical trial design, longitudinal data analysis, industrial design, and meta-analysis make this book accessible - and valuable - not only to statisticians but to all applied research scientists who use statistical methods.

Author : LeRoy Powers
Publisher : Unknown
Page : 72 pages
File Size : 49,8 Mb
Release : 1955
Category : Agriculture
ISBN : UVA:X030347175

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Components of Variance Method and Partitioning Method of Genetic Analysis Applied to Weight Per Fruit of Tomato Hybrid and Parental Populations by LeRoy Powers Pdf

Author : Andreas Scherer
Publisher : John Wiley & Sons
Page : 272 pages
File Size : 54,6 Mb
Release : 2009-11-03
Category : Science
ISBN : 0470685999

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Batch Effects and Noise in Microarray Experiments by Andreas Scherer Pdf

Batch Effects and Noise in Microarray Experiments: Sources and Solutions looks at the issue of technical noise and batch effects in microarray studies and illustrates how to alleviate such factors whilst interpreting the relevant biological information. Each chapter focuses on sources of noise and batch effects before starting an experiment, with examples of statistical methods for detecting, measuring, and managing batch effects within and across datasets provided online. Throughout the book the importance of standardization and the value of standard operating procedures in the development of genomics biomarkers is emphasized. Key Features: A thorough introduction to Batch Effects and Noise in Microrarray Experiments. A unique compilation of review and research articles on handling of batch effects and technical and biological noise in microarray data. An extensive overview of current standardization initiatives. All datasets and methods used in the chapters, as well as colour images, are available on www.the-batch-effect-book.org, so that the data can be reproduced. An exciting compilation of state-of-the-art review chapters and latest research results, which will benefit all those involved in the planning, execution, and analysis of gene expression studies.

Author : Bernhard Schipp,Walter Krämer
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 52,5 Mb
Release : 2008-11-27
Category : Mathematics
ISBN : 9783790821215

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Statistical Inference, Econometric Analysis and Matrix Algebra by Bernhard Schipp,Walter Krämer Pdf

This Festschrift is dedicated to Götz Trenkler on the occasion of his 65th birthday. As can be seen from the long list of contributions, Götz has had and still has an enormous range of interests, and colleagues to share these interests with. He is a leading expert in linear models with a particular focus on matrix algebra in its relation to statistics. He has published in almost all major statistics and matrix theory journals. His research activities also include other areas (like nonparametrics, statistics and sports, combination of forecasts and magic squares, just to mention afew). Götz Trenkler was born in Dresden in 1943. After his school years in East G- many and West-Berlin, he obtained a Diploma in Mathematics from Free University of Berlin (1970), where he also discovered his interest in Mathematical Statistics. In 1973, he completed his Ph.D. with a thesis titled: On a distance-generating fu- tion of probability measures. He then moved on to the University of Hannover to become Lecturer and to write a habilitation-thesis (submitted 1979) on alternatives to the Ordinary Least Squares estimator in the Linear Regression Model, a topic that would become his predominant ?eld of research in the years to come.

Author : Richard K. Burdick,Franklin A. Graybill
Publisher : CRC Press
Page : 228 pages
File Size : 41,8 Mb
Release : 1992-02-28
Category : Mathematics
ISBN : 9781482277142

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Confidence Intervals on Variance Components by Richard K. Burdick,Franklin A. Graybill 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

Author : Ronald Christensen
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 54,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475724776

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Plane Answers to Complex Questions by Ronald Christensen Pdf

The second edition of Plane Answers has many additions and a couple of deletions. New material includes additional illustrative examples in Ap pendices A and B and Chapters 2 and 3, as well as discussions of Bayesian estimation, near replicate lack of fit tests, testing the independence assump tion, testing variance components, the interblock analysis for balanced in complete block designs, nonestimable constraints, analysis of unreplicated experiments using normal plots, tensors, and properties of Kronecker prod ucts and Vee operators. The book contains an improved discussion of the relation between ANOVA and regression, and an improved presentation of general Gauss-Markov models. The primary material that has been deleted are the discussions of weighted means and of log-linear models. The mate rial on log-linear models was included in Christensen (1990b), so it became redundant here. Generally, I have tried to clean up the presentation of ideas wherever it seemed obscure to me. Much of the work on the second edition was done while on sabbatical at the University of Canterbury in Christchurch, New Zealand. I would par ticularly like to thank John Deely for arranging my sabbatical. Through their comments and criticisms, four people were particularly helpful in con structing this new edition. I would like to thank Wes Johnson, Snehalata Huzurbazar, Ron Butler, and Vance Berger.

Author : David C. Hoaglin,Frederick Mosteller,John W. Tukey
Publisher : John Wiley & Sons
Page : 448 pages
File Size : 47,7 Mb
Release : 2009-09-25
Category : Mathematics
ISBN : 9780470317662

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Fundamentals of Exploratory Analysis of Variance by David C. Hoaglin,Frederick Mosteller,John W. Tukey Pdf

The analysis of variance is presented as an exploratory component of data analysis, while retaining the customary least squares fitting methods. Balanced data layouts are used to reveal key ideas and techniques for exploration. The approach emphasizes both the individual observations and the separate parts that the analysis produces. Most chapters include exercises and the appendices give selected percentage points of the Gaussian, t, F chi-squared and studentized range distributions.

Author : Robert A. Gitzen,Joshua J. Millspaugh,Andrew B. Cooper,Daniel S. Licht
Publisher : Cambridge University Press
Page : 779 pages
File Size : 55,5 Mb
Release : 2012-06-07
Category : Nature
ISBN : 9781139510196

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Design and Analysis of Long-term Ecological Monitoring Studies by Robert A. Gitzen,Joshua J. Millspaugh,Andrew B. Cooper,Daniel S. Licht Pdf

To provide useful and meaningful information, long-term ecological programs need to implement solid and efficient statistical approaches for collecting and analyzing data. This volume provides rigorous guidance on quantitative issues in monitoring, with contributions from world experts in the field. These experts have extensive experience in teaching fundamental and advanced ideas and methods to natural resource managers, scientists and students. The chapters present a range of tools and approaches, including detailed coverage of variance component estimation and quantitative selection among alternative designs; spatially balanced sampling; sampling strategies integrating design- and model-based approaches; and advanced analytical approaches such as hierarchical and structural equation modelling. Making these tools more accessible to ecologists and other monitoring practitioners across numerous disciplines, this is a valuable resource for any professional whose work deals with ecological monitoring. Supplementary example software code is available online at www.cambridge.org/9780521191548.

Author : Hardeo Sahai,Mohammed I. Ageel
Publisher : Springer Science & Business Media
Page : 766 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213444

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The Analysis of Variance by Hardeo Sahai,Mohammed I. Ageel Pdf

The analysis of variance (ANOYA) models have become one of the most widely used tools of modern statistics for analyzing multifactor data. The ANOYA models provide versatile statistical tools for studying the relationship between a dependent variable and one or more independent variables. The ANOYA mod els are employed to determine whether different variables interact and which factors or factor combinations are most important. They are appealing because they provide a conceptually simple technique for investigating statistical rela tionships among different independent variables known as factors. Currently there are several texts and monographs available on the sub ject. However, some of them such as those of Scheffe (1959) and Fisher and McDonald (1978), are written for mathematically advanced readers, requiring a good background in calculus, matrix algebra, and statistical theory; whereas others such as Guenther (1964), Huitson (1971), and Dunn and Clark (1987), although they assume only a background in elementary algebra and statistics, treat the subject somewhat scantily and provide only a superficial discussion of the random and mixed effects analysis of variance.

Author : Poduri S. R. S. Rao
Publisher : Unknown
Page : 0 pages
File Size : 55,5 Mb
Release : 1997
Category : Electronic
ISBN : OCLC:246555575

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

Author : Charles E. McCulloch
Publisher : IMS
Page : 100 pages
File Size : 49,8 Mb
Release : 2003
Category : Mathematics
ISBN : 0940600544

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Generalized Linear Mixed Models by Charles E. McCulloch Pdf

Wiley Series in Probability and Statistics A modern perspective on mixed models The availability of powerful computing methods in recent decades has thrust linear and nonlinear mixed models into the mainstream of statistical application. This volume offers a modern perspective on generalized, linear, and mixed models, presenting a unified and accessible treatment of the newest statistical methods for analyzing correlated, nonnormally distributed data. As a follow-up to Searle's classic, Linear Models, and Variance Components by Searle, Casella, and McCulloch, this new work progresses from the basic one-way classification to generalized linear mixed models. A variety of statistical methods are explained and illustrated, with an emphasis on maximum likelihood and restricted maximum likelihood. An invaluable resource for applied statisticians and industrial practitioners, as well as students interested in the latest results, Generalized, Linear, and Mixed Models features: * A review of the basics of linear models and linear mixed models * Descriptions of models for nonnormal data, including generalized linear and nonlinear models * Analysis and illustration of techniques for a variety of real data sets * Information on the accommodation of longitudinal data using these models * Coverage of the prediction of realized values of random effects * A discussion of the impact of computing issues on mixed models