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Author : Rana S. Fayyad
Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.:/5 (334 download)
Download or read book Confidence Intervals for Variance Components in Unbalanced Models written by Rana S. Fayyad and published by . This book was released on 1995 with total page 542 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 : Syamala Srinivasan
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (787 download)
Download or read book Confidence Intervals on Functions of Variance Components in Unbalanced Two-way Design Models written by Syamala Srinivasan and published by . This book was released on 1986 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bhabesh Sen
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (35 download)
Download or read book Confidence Intervals on Ratios of Variance Components in the Three Stage Nested Unbalanced Model written by Bhabesh Sen and published by . This book was released on 1988 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : 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 : Hardeo Sahai
Publisher : Springer Science & Business Media
ISBN 13 : 9780817632304
Total Pages : 520 pages
Book Rating : 4.6/5 (323 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 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.
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 : Aleksandra Anna Banasik
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (642 download)
Download or read book Confidence Intervals on Several Functions of the Components of Variance in a One-way Random Effects Experiment written by Aleksandra Anna Banasik and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Variability is inherent in most data and often it is useful to study the variability so scientists are able to make more accurate statements about their data. One of the most popular ways of analyzing variance in data is by making use of a one-way ANOVA which consists of partitioning the variability among observations into components of variability corresponding to between groups and within groups. One then has [Theta](subY)(superscript 2)=[Theta] (sub A) (superscript)2+[Theta](sub e)(superscript 2). Thus there are two variance components. In certain situations, in addition to estimating these components of variance, it is important to estimate functions of the variance components. This report is devoted to methods for constructing confidence intervals for three particular functions of variance components in the unbalanced One- way random effects models. In order to compare the performance of the methods, simulations were conducted using SAS® and the results were compared across several scenarios based on the number of groups, the number of observations within each group, and the value of sigma (sub A)(superscript 2).
Author : Farooq Maqsood
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (349 download)
Download or read book Confidence Intervals on Proportions of Varianaces in Unbalanced One-way Components-of-variance Models written by Farooq Maqsood and published by . This book was released on 1984 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bengt Berlin
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (29 download)
Download or read book Approximate Confidence Intervals for the Main Effects in an Unbalanced, Mixed Model written by Bengt Berlin and published by . This book was released on 1974 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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:
Author : Mohammed Kazem Kazempour
Publisher :
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.:/5 (35 download)
Download or read book Confidence Bounds on Functions of Variance Components in Unbalanced Models written by Mohammed Kazem Kazempour and published by . This book was released on 1987 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kashyapa A. S. Yapa
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (179 download)
Download or read book Confidence Intervals for Between-groups Variance in Unbalanced One-way Random Effects Model written by Kashyapa A. S. Yapa and published by . This book was released on 1986 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ramon P. Hernandez
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (262 download)
Download or read book Confidence Intervals and Hypotheses Tests on Linear Combinations of Variance Components in Unbalanced Designs written by Ramon P. Hernandez and published by . This book was released on 1991 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
