Variance Components / Edition 1

Variance Components / Edition 1

by Shayle R. Searle, George Casella, Charles E. McCulloch
     
 

ISBN-10: 0470009594

ISBN-13: 9780470009598

Pub. Date: 03/24/2006

Publisher: Wiley

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

Overview

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.

Product Details

ISBN-13:
9780470009598
Publisher:
Wiley
Publication date:
03/24/2006
Series:
Wiley Series in Probability and Statistics Series, #631
Edition description:
New Edition
Pages:
536
Product dimensions:
6.20(w) x 9.51(h) x 1.15(d)

Table of Contents

1.Introduction1
2.History and Comment19
3.The 1-Way Classification44
4.Balanced Data112
5.Analysis of Variance Estimation for Unbalanced Data168
6.Maximum Likelihood (ML) and Restricted Maximum Likelihood (REML)232
7.Prediction of Random Variables258
8.Computing ML and REML Estimates290
9.Hierarchical Models and Bayesian Estimation315
10.Binary and Discrete Data367
11.Other Procedures378
12.The Dispersion-Mean Model405
Appendix F.Estimation Formulae for Unbalanced Data427
Appendix M.Some Results in Matrix Algebra442
Appendix S.Some Results in Statistics461
References475
List of Tables and Figures490
Author Index493
Subject Index497

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