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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 for Variance Components

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.

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 on Ratios of Variance Components

Download or read book Confidence Intervals on Ratios of Variance Components written by Nancy J. Birch and published by . This book was released on 1988 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Estimation of Confidence Intervals for Variance Components and Linear Combinations of Variance Components for Gage Capability Studies

Download or read book Estimation of Confidence Intervals for Variance Components and Linear Combinations of Variance Components for Gage Capability Studies written by Bradley L. McEwan and published by . This book was released on 1996 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Variance Components

    Variance Components

    Book Details:
  • Author : Poduri S.R.S. Rao
  • Publisher : CRC Press
  • Release : 1997-06-01
  • ISBN : 9780412728600
  • Pages : 232 pages

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.

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 in Three Factor Cross Classification Models

Download or read book Confidence Intervals on Variance Components in Three Factor Cross Classification Models written by Franklin A. Graybill and published by . This book was released on 1980 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem discussed in this paper is that of setting confidence limits on the variance components in the three-factor crossed components-of-variance model with interaction.

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).