Download or read book New Expressions for Variance Component Estimators with Diagnostic Implications written by Ronald R. Hocking and published by . This book was released on 1989 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed form expressions are developed for the estimators of variance components in balanced, mixed, linear models. These expressions are generally averages of sample covariances which offer diagnostic information on the data, the model and the disgn. The cause of negative estimates may be revealed. An alternative formulation of the model is suggested. Examples illustrate the basic concepts.
Download or read book A New Approach to Variance Component Estimation with Diagnostic Implications written by Ronald R. Hocking and published by . This book was released on 1991 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed form expressions are developed for the estimators of functions of the variance components in balanced, mixed, linear models. These estimators are averages of sample covariances (variances) which offer diagnostic information on the data and the model. The cause of negative estimates may be revealed. Examples illustrate the basic concepts.
Download or read book Variance Component Estimation with Model based Diagnostics written by Ronald R. Hocking and published by . This book was released on 1988 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of estimating variance components in mixed linear models has no satisfactory solution for the unbalanced data case. Further, there has been little work on diagnostic methods for assessing the data and the model. In this article, we propose a new class of unbiased estimators. These estimators have simple closed form expressions allowing for small sample analysis and easy computations. The structure of the estimators reveals natural diagnostics for examining the data and the model assumptions. The source of negative estimates of variance components is revealed. Limited efficiency studies indicate that these estimators are comparable to existing estimators. The estimators are illustrated by two numerical examples that reveal the importance of the diagnostic analysis.
Download or read book Proceedings of the Conference on the Design of Experiments written by and published by . This book was released on 1988 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Estimation of Variance Components and Applications written by Calyampudi Radhakrishna Rao and published by North Holland. This book was released on 1988 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix algebra; Asymptotic distribution of quadratic statistics; Variance and covariance components models; Identifiability and estimability; minimum norm quadratic estimation; Pulling of information for estimation; Uniform optimality of minqe's; Computation of minqe's for variance-convariance components models; Integrated minqe and mile; Asymptotic properties estimators; Minimum variance quadratic estimation; Aplications to selection problems.
Download or read book Proceedings of the Statistical Computing Section written by American Statistical Association. Statistical Computing Section and published by . This book was released on 1990 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Statistics in Agriculture written by and published by . This book was released on 1989 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Estimation and Diagnostics in Nested Variance Component Models written by Mark Scott Von Tress and published by . This book was released on 1987 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Variance Component Estimation and Precision for the General Two way Classification written by Paul William Mielke and published by . This book was released on 1963 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Variance Component Estimators for Binary Data Derived from the Dispersion mean Model written by Deborah Lynn Reichert and published by . This book was released on 1993 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Studies on the Estimation of Variance Components written by Robert Donald Anderson and published by . This book was released on 1978 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Estimation of Variance Components written by C. Radhakrishna Rao and published by . This book was released on 1979 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper describes a number of methods for estimating variance components in a general linear model. Explicit expressions are obtained for locally minimum variance unbiased estimators with and without the invariance condition. The principle of MINQE is described and a series of MIQE estimators satisfying one or more of the conditions - unbiasedness, invariance, nonnegative definiteness - are derived. Corresponding to each MINQE estimator, an iterated MINQE (IMINQE) is defined. It is shown that the ML (maximum Likelihood) estimator is IMINQE satisfying the invarianc e condition and the RML (restricted maximum likelihood estimator) is IMINQE satisfying both the invariance and unbiasedness conditions. Some comments are made on the numerical alorithms for computing MINQ, ML and RML estimators. (Author).
Download or read book Properties of Variance Component Estimators Obtained by Restricted Maximum Likelihood and by MINQUE written by Songsiri Sriburi and published by . This book was released on 1978 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A New Approach to the Estimation of Variance Components written by David Worth Smith and published by . This book was released on 1971 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Comparison of Three Variance Component Estimators Using Symmetric Balanced Incomplete Block Designs written by Michael David Conerly and published by . This book was released on 1982 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal unbiased Estimation of variance components written by and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
