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Book Robust Confidence Intervals for Functions of Variances and Variance Components

Download or read book Robust Confidence Intervals for Functions of Variances and Variance Components written by Abdelrahim M. Barham and published by . This book was released on 1996 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Confidence Intervals on Variance Components

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

Book Confidence Intervals on Functions of Variance Components

Download or read book Confidence Intervals on Functions of Variance Components written by Chih-ming Wang and published by . This book was released on 1978 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Confidence Intervals for Functions of Variance Components

Download or read book Confidence Intervals for Functions of Variance Components written by Kok-Leong Chiang and published by . This book was released on 2000 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moreover, it is extremely easy to implement and delivers both "equal-tail" and "shortest-length" confidence intervals for any parametric function of interest. (In contrast, only a small number of MLS methods have prescriptions for computing a sort of "shortest-length" interval.) We demonstrate the effectiveness of the proposed method for estimating several commonly studied functions of variance components in various standard models, including the two-way random effects model (with and without interaction), the two-fold nested random effects model and the three-factor cross-classification random effects model. We show that the proposed intervals easily maintain the nominal confidence level and have average interval lengths that are comparable to or better than those of the best existing methods. Moreover, we show that in a particular application, the standard MLS method of Gui et al. (1995) can be extremely liberal, while the proposed method easily maintains the nominal confidence level.

Book Confidence Intervals on Several Functions of the Components of Variance in a One way Random Effects Experiment

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).

Book Analysis of Variance Via Confidence Intervals

Download or read book Analysis of Variance Via Confidence Intervals written by K D Bird and published by SAGE. This book was released on 2004-12-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of variance - ANOVA - constitutes the main set of statistical methods through which undergraduate and postgraduate students carry out multivariate analysis. This textbook adopts an innovative approach to ANOVA, placing emphasis on confidence intervals rather than tests of significance.

Book Confidence Intervals for Functions of Variance Components

Download or read book Confidence Intervals for Functions of Variance Components written by Franklin A. Graybill and published by . This book was released on 1982 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this project confidence intervals were determined for the functions of variance components. These included one-sided and two-sided confidence intervals. Since no method is available for exact (exact confidence coefficients) for confidence intervals on the functions of variance components considered, confidence intervals with approximate confidence coefficients were examined. In each case large simulation studies were conducted to determine how good the confidence intervals are. In cases where alternative methods are available, they were compared to the procedures in this project.

Book Variance Components

    Book Details:
  • Author : Shayle R. Searle
  • Publisher : John Wiley & Sons
  • Release : 2009-09-25
  • ISBN : 0470317698
  • Pages : 537 pages

Download or read book Variance Components written by Shayle R. Searle and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Fixed Effects Analysis of Variance

Download or read book Fixed Effects Analysis of Variance written by Lloyd Fisher and published by Academic Press. This book was released on 2014-07-03 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Effects Analysis of Variance covers the mathematical theory of the fixed effects analysis of variance. The book discusses the theoretical ideas and some applications of the analysis of variance. The text then describes topics such as the t-test; two-sample t-test; the k-sample comparison of means (one-way analysis of variance); the balanced two-way factorial design without interaction; estimation and factorial designs; and the Latin square. Confidence sets, simultaneous confidence intervals, and multiple comparisons; orthogonal and nonorthologonal designs; and multiple regression analysis and related matters are also encompassed. Mathematicians, statisticians, and students taking related courses will find the book useful.

Book Extensions and Application of the Modified Large sample Approach for Constructing Confidence Intervals on Functions of Variance Components

Download or read book Extensions and Application of the Modified Large sample Approach for Constructing Confidence Intervals on Functions of Variance Components written by Kye M. Gilder and published by . This book was released on 2003 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: