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Confidence Intervals On Variance Components In Three Factor Cross Classification Models
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Book Synopsis Confidence Intervals on Variance Components in Three Factor Cross-Classification Models by : Franklin A. Graybill
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 Synopsis Confidence Intervals on Variance Components by : Burdick
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 Synopsis Confidence Intervals for Functions of Variance Components by : Kok-Leong Chiang
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 Synopsis Confidence Intervals on Variance Components by : Richard K. Burdick
Download or read book Confidence Intervals on Variance Components written by Richard K. Burdick and published by CRC Press. This book was released on 1992-02-28 with total page 228 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 Synopsis Confidence Intervals on Ratios of Variance Components in the Three Stage Nested Unbalanced Model by : Bhabesh Sen
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:
Book Synopsis Analysis of Variance for Random Models by : Hardeo Sahai
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.
Book Synopsis Confidence Intervals on a Ratio of Variances in the Two-Factor Crossed Components of Variance Model by : Franklin A. Graybill
Download or read book Confidence Intervals on a Ratio of Variances in the Two-Factor Crossed Components of Variance Model written by Franklin A. Graybill and published by . This book was released on 1980 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Confidence Intervals for Variance Components by : Kathleen G. Purdy
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.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Confidence Intervals for Variance Components in the Two Way Model with Interaction by : Ricardo Anibal Leiva
Download or read book Confidence Intervals for Variance Components in the Two Way Model with Interaction written by Ricardo Anibal Leiva and published by . This book was released on 1984 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Confidence Intervals for Variance Components in Two Components Mixed Models by : Chang-Yue Ueng
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:
Book Synopsis Confidence Intervals for Proportions of Variability in Two-Factor Nested Variance Component Models by : Franklin A. Graybill
Download or read book Confidence Intervals for Proportions of Variability in Two-Factor Nested Variance Component Models written by Franklin A. Graybill and published by . This book was released on 1977 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Confidence Intervals for Variance Components in Unbalanced Models by : Rana S. Fayyad
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:
Book Synopsis Applied Statistics by : Dieter Rasch
Download or read book Applied Statistics written by Dieter Rasch and published by John Wiley & Sons. This book was released on 2019-10-07 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instructs readers on how to use methods of statistics and experimental design with R software Applied statistics covers both the theory and the application of modern statistical and mathematical modelling techniques to applied problems in industry, public services, commerce, and research. It proceeds from a strong theoretical background, but it is practically oriented to develop one's ability to tackle new and non-standard problems confidently. Taking a practical approach to applied statistics, this user-friendly guide teaches readers how to use methods of statistics and experimental design without going deep into the theory. Applied Statistics: Theory and Problem Solutions with R includes chapters that cover R package sampling procedures, analysis of variance, point estimation, and more. It follows on the heels of Rasch and Schott's Mathematical Statistics via that book's theoretical background—taking the lessons learned from there to another level with this book’s addition of instructions on how to employ the methods using R. But there are two important chapters not mentioned in the theoretical back ground as Generalised Linear Models and Spatial Statistics. Offers a practical over theoretical approach to the subject of applied statistics Provides a pre-experimental as well as post-experimental approach to applied statistics Features classroom tested material Applicable to a wide range of people working in experimental design and all empirical sciences Includes 300 different procedures with R and examples with R-programs for the analysis and for determining minimal experimental sizes Applied Statistics: Theory and Problem Solutions with R will appeal to experimenters, statisticians, mathematicians, and all scientists using statistical procedures in the natural sciences, medicine, and psychology amongst others.
Book Synopsis Confidence Intervals on Several Functions of the Components of Variance in a One-way Random Effects Experiment by : Aleksandra Anna Banasik
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 Synopsis Variance Components by : Shayle R. Searle
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 Synopsis Probability and Statistics by : Jaya Srivastava
Download or read book Probability and Statistics written by Jaya Srivastava and published by North Holland. This book was released on 1988 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Professor Franklin A. Graybill. It contains a series of interesting articles by many prominent workers in stochastic processes, time series, linear models, sampling and other fields. All articles are refereed.
