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Book Estimation of Variance Components and Applications

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.

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 Estimation of Variance Components

    Book Details:
  • Author : Jambulingam Subramani
  • Publisher : LAP Lambert Academic Publishing
  • Release : 2011-08
  • ISBN : 9783845429687
  • Pages : 136 pages

Download or read book Estimation of Variance Components written by Jambulingam Subramani and published by LAP Lambert Academic Publishing. This book was released on 2011-08 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Estimation of variance components in mixed linear models is an important problem in statistical inference to draw a valid and meaningful interpretation in many practical areas of research. ANOVA, Analogous to ANOVA, SS Approach, ML, REML, MML, MINQUE, MIVQUE and QLSE are some of the important methods available in literature for estimation of variance components in general mixed linear models. In this book we have introduced MTE, WQLSE and modified MIVQUE estimators and also derived their variances and also the covariance matrices. In fact we have presented the explicit computable expressions for the computation of MTE, WQLSE, Modified MIVQUE estimators and their covariance matrices. The relative performance of MTE, QLSE, WQLSE, MIVQUE and Modified MIVQUE estimators are assessed by numerical evaluations based on different optimality criteria like T-Optimality, D-Optimality and M-Optimality together with their variances for various n-patterns. I hope that this book may be a useful guide for the applied workers to solve their practical problems and a reference book for the researchers to do research in variance components estimation.

Book Factors Affecting the Accuracy of Variance Component Estimation

Download or read book Factors Affecting the Accuracy of Variance Component Estimation written by Lawrence Raymond Schaeffer and published by . This book was released on 1973 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Studies on the Estimation of Variance Components

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:

Book Optimal Unbiased Estimation of Variance Components

Download or read book Optimal Unbiased Estimation of Variance Components written by James D. Malley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Calculation and Interpretation of Analysis of Variance and Covariance

Download or read book Calculation and Interpretation of Analysis of Variance and Covariance written by George Waddel Snedecor and published by . This book was released on 1934 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Single criterion of classification; Two criteria of classification; Three or more criteria of classification; Analysis of covariance; Table of values of f.

Book A New Approach to Variance Component Estimation with Diagnostic Implications

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.

Book Statistical Computing

Download or read book Statistical Computing written by WIlliam J. Kennedy and published by Routledge. This book was released on 2021-06-23 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors have assembled the "best techniques from a great variety of sources, establishing a benchmark for the field of statistical computing." ---Mathematics of Computation ." The text is highly readable and well illustrated with examples. The reader who intends to take a hand in designing his own regression and multivariate packages will find a storehouse of information and a valuable resource in the field of statistical computing.

Book Methods and Applications of Longitudinal Data Analysis

Download or read book Methods and Applications of Longitudinal Data Analysis written by Xian Liu and published by Elsevier. This book was released on 2015-09-01 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods and Applications of Longitudinal Data Analysis describes methods for the analysis of longitudinal data in the medical, biological and behavioral sciences. It introduces basic concepts and functions including a variety of regression models, and their practical applications across many areas of research. Statistical procedures featured within the text include: - descriptive methods for delineating trends over time - linear mixed regression models with both fixed and random effects - covariance pattern models on correlated errors - generalized estimating equations - nonlinear regression models for categorical repeated measurements - techniques for analyzing longitudinal data with non-ignorable missing observations Emphasis is given to applications of these methods, using substantial empirical illustrations, designed to help users of statistics better analyze and understand longitudinal data. Methods and Applications of Longitudinal Data Analysis equips both graduate students and professionals to confidently apply longitudinal data analysis to their particular discipline. It also provides a valuable reference source for applied statisticians, demographers and other quantitative methodologists. - From novice to professional: this book starts with the introduction of basic models and ends with the description of some of the most advanced models in longitudinal data analysis - Enables students to select the correct statistical methods to apply to their longitudinal data and avoid the pitfalls associated with incorrect selection - Identifies the limitations of classical repeated measures models and describes newly developed techniques, along with real-world examples.

Book Sampling Variances of Variance Components Estimated from the Two way Model  for First Lactation A  I  Sired Dairy Cattle Production Records

Download or read book Sampling Variances of Variance Components Estimated from the Two way Model for First Lactation A I Sired Dairy Cattle Production Records written by David Anthony Evans and published by . This book was released on 1979 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Variance Component Estimation for Combination of Terrestrial Reference Frames

Download or read book Variance Component Estimation for Combination of Terrestrial Reference Frames written by HermannAltamimi Bähr (ZuheirHeck, Bernhard) and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining Terrestrial Reference Frames (TRFs) to frames of superior quality (like the ITRF) usually involves homogenisation by an empirical weighting scheme. Different approaches on variance component estimation have been evaluated for this purpose. The statistically rigorous Helmert estimator has been compared with two other methods: the degree of freedom method and a simplified, approximate estimator. Tests have been performed, covering two elementary types of combinations.

Book Research on Analysis of Variance and Data Interpretation

Download or read book Research on Analysis of Variance and Data Interpretation written by Oscar Kempthorne and published by . This book was released on 1966 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on Analysis of Variance and Data Interpretation is described. Section 1 discusses estimation problems in variance component and mixed model problems. Section II considers the combination of information on estimable functions from distinct uncorrelated sources and justifies some of the common applications in experimental design problems. Section III discusses size and power under experiment randomization of several competitive tests for the paired design and presents conclusions about the high relative merits of the variance ratio randomization and the Wilcoxon tests. Section IV discusses the development of high speed computational methods for the calculation of fourth degree generalized polykays of variances and co variances of estimated variance components for balanced samples from balanced populations. Section V summarizes briefly papers on the design of experiments and multivariate responses in experiments and the 1965 Fisher Memorial lecture on experimental inference.