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Author : Yulan Li
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (362 download)
Download or read book Confidence Intervals and Tests for Variance-component Ratios in Mixed Linear Models written by Yulan Li and published by . This book was released on 1993 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Burdick
Publisher : CRC Press
ISBN 13 : 9780824786441
Total Pages : 238 pages
Book Rating : 4.7/5 (864 download)
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
Author : Poduri S.R.S. Rao
Publisher : CRC Press
ISBN 13 : 9780412728600
Total Pages : 232 pages
Book Rating : 4.7/5 (286 download)
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.
Author : Hardeo Sahai
Publisher : Springer Science & Business Media
ISBN 13 : 0817644253
Total Pages : 493 pages
Book Rating : 4.8/5 (176 download)
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.
Author : Hardeo Sahai
Publisher : Springer Science & Business Media
ISBN 13 : 081768168X
Total Pages : 499 pages
Book Rating : 4.8/5 (176 download)
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 2013-12-01 with total page 499 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.
Author : Andre I. Khuri
Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (227 download)
Download or read book Regional Conference on the Analysis of the Unbalanced Mixed Model written by Andre I. Khuri and published by . This book was released on 1987 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of the conference was to bring together leading statisticians who have done significant research work in the area of variance components and linear models in general. Of particular interest was the analysis concerning the unbalanced mixed linear model. This is a rather difficult area in statistics that has been the subject of investigation by many researchers. Unfortunately, however, there is no general consensus among research workers on the most efficient method to analyze data from an unbalanced experiment. The conference was a necessary step in the process of solving this complicated problem. Paper titles: The Present Status of Confidence Interval Estimation on Variance Components in Balanced and Unbalanced Random Models; Prediction-Interval Procedures and (Fixed Effects) Confidence-Interval Procedures for Mixed Linear Models; The Use of Equivalent linear Models in Mixed Model Estimation and Prediction; Estimation of Variance Components in Unbalanced Mixed Models; On the Role of MINQUE in Testing of Hypotheses Under Mixed Linear Models; Practical Computation of MINIQUE Estimators in Mixed Model Analysis of Variance; Confidence Intervals and Tests on the Variance Ratio in Random Models With Two Variance Components; Robust Tests and Confidence Intervals for Functions of Variance Components in the Nested Error Regression Model. Estimation for Variance Components Models; Small and Large Sample Properties; Mixed Models and Unbalanced Data: Wherefrom and whereto?
Author : Alan P. Fenech
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (227 download)
Download or read book Confidence Regions for Variance Components in Unbalanced Mixed Linear Models written by Alan P. Fenech and published by . This book was released on 1986 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document presents a general procedure for obtaining exact confidence regions for the variance components in unbalanced mixed linear models. The procedure utilizes, as pivotal quantities, quadratic forms that may depend on the variance components in a complicated way and that are distributed independently as chi-square variates. In the special case of balanced classificatory models, the pivotal quantities simplify to scalar multiples of sums of squares from the usual analysis of variance. The procedure can be easily modified so as to obtain an exact confidence region for ratios of variance components and can be regarded as a generalization of Wald's procedure for obtaining a confidence interval for a single variance ratio. (Author).
Author : Charles E. McCulloch
Publisher : John Wiley & Sons
ISBN 13 : 0471654043
Total Pages : 358 pages
Book Rating : 4.4/5 (716 download)
Download or read book Generalized, Linear, and Mixed Models written by Charles E. McCulloch and published by John Wiley & Sons. This book was released on 2004-03-22 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Brady T. West
Publisher : CRC Press
ISBN 13 : 1420010433
Total Pages : 376 pages
Book Rating : 4.4/5 (2 download)
Download or read book Linear Mixed Models written by Brady T. West and published by CRC Press. This book was released on 2006-11-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simplifying the often confusing array of software programs for fitting linear mixed models (LMMs), Linear Mixed Models: A Practical Guide Using Statistical Software provides a basic introduction to primary concepts, notation, software implementation, model interpretation, and visualization of clustered and longitudinal data. This easy-to-nav
Author : André I. Khuri
Publisher : John Wiley & Sons
ISBN 13 : 1118164857
Total Pages : 384 pages
Book Rating : 4.1/5 (181 download)
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.
Author : Kathleen G. Purdy
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (397 download)
Download or read book Confidence Intervals for Variance Components written by Kathleen G. Purdy and published by . This book was released on 1998 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measuring the source and magnitude of components of variation has important applications in industrial, environmental and biological studies. This thesis considers the problem of constructing confidence intervals for variance components in Gaussian mixed linear models. A number of methods based on the usual ANOVA mean squares have been proposed for constructing confidence intervals for variance components in balanced mixed models. Some authors have suggested extending balanced model procedures to unbalanced models by replacing the ANOVA mean squares with mean squares from an unweighted means ANOVA. However, the unweighted means ANOVA is only defined for a few specific mixed models. In Chapter 2 we define a generalization of the unweighted means ANOVA for the three variance component mixed linear model and illustrate how the mean squares from this ANOVA may be used to construct confidence intervals for variance components. Computer simulations indicate that the proposed procedure gives intervals that are generally consistent with the stated confidence level, except in the case of extremely unbalanced designs. A set of statistics that can be used as an alternative to the generalized unweighted mean squares is developed in Chapter 3. The intervals constructed with these statistics have better coverage probability and are often narrower than the intervals constructed with the generalized unweighted mean squares.
Author : Chang-Yue Ueng
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.:/5 (464 download)
Download or read book Confidence Intervals for Variance Components in Two Components Mixed Models written by Chang-Yue Ueng and published by . This book was released on 1997 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yonghee Lee
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (89 download)
Download or read book Confidence Intervals and Tests on a Linear Combination of Variance Components when Estimators are Dependent written by Yonghee Lee and published by . This book was released on 2002 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tsung-Hua Lin
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (183 download)
Download or read book Confidence Sets for the Ratio of Variance Components in a Mixed Linear Model with Two Variance Components written by Tsung-Hua Lin and published by . This book was released on 1987 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José C. Pinheiro
Publisher : Springer Science & Business Media
ISBN 13 : 1441903178
Total Pages : 538 pages
Book Rating : 4.4/5 (419 download)
Download or read book Mixed-Effects Models in S and S-PLUS written by José C. Pinheiro and published by Springer Science & Business Media. This book was released on 2009-04-15 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: R, linear models, random, fixed, data, analysis, fit.
Author : Rongde Gui
Publisher :
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.:/5 (273 download)
Download or read book Confidence Intervals for Ratios of Linear Combinations of Variances in the Components-of-variance Model written by Rongde Gui and published by . This book was released on 1992 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shyh-Tyan Ou
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (348 download)
Download or read book Confidence Intervals for Variance Components in Mixed Linear Models written by Shyh-Tyan Ou and published by . This book was released on 1994 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
