Confidence Intervals On Several Functions Of The Components Of Variance In A One Way Random Effects Experiment

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

Author : Aleksandra Anna Banasik
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (642 download)

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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).

Confidence Intervals on Variance Components

Author : Burdick
Publisher : CRC Press
ISBN 13 : 9780824786441
Total Pages : 238 pages
Book Rating : 4.7/5 (864 download)

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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

Analysis of Variance for Random Models

Author : Hardeo Sahai
Publisher : Springer Science & Business Media
ISBN 13 : 9780817632304
Total Pages : 520 pages
Book Rating : 4.6/5 (323 download)

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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 2004-05-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of variance (ANOVA) models have become widely used tools and play a fundamental role in much of the application of statistics today. In particular, ANOVA models involving random effects have found widespread application to experimental design in a variety of fields requiring measurements of variance, including agriculture, biology, animal breeding, applied genetics, econometrics, quality control, medicine, engineering, and social sciences. This two-volume work is a comprehensive presentation of different methods and techniques for point estimation, interval estimation, and tests of hypotheses for linear models involving random effects. Both Bayesian and repeated sampling procedures are considered. Volume I examines models with balanced data (orthogonal models); Volume II studies models with unbalanced data (nonorthogonal models). Features and Topics: * Systematic treatment of the commonly employed crossed and nested classification models used in analysis of variance designs * Detailed and thorough discussion of certain random effects models not commonly found in texts at the introductory or intermediate level * Numerical examples to analyze data from a wide variety of disciplines * Many worked examples containing computer outputs from standard software packages such as SAS, SPSS, and BMDP for each numerical example * Extensive exercise sets at the end of each chapter * Numerous appendices with background reference concepts, terms, and results * Balanced coverage of theory, methods, and practical applications * Complete citations of important and related works at the end of each chapter, as well as an extensive general bibliography Accessible to readers with only a modest mathematical and statistical background, the work will appeal to a broad audience of students, researchers, and practitioners in the mathematical, life, social, and engineering sciences. It may be used as a textbook in upper-level undergraduate and graduate courses, or as a reference for readers interested in the use of random effects models for data analysis.

Confidence Intervals for Functions of Variance Components

Author : Kok-Leong Chiang
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (448 download)

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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.

Confidence Intervals on Variance Components

Author : Richard K. Burdick
Publisher : CRC Press
ISBN 13 : 148227714X
Total Pages : 228 pages
Book Rating : 4.4/5 (822 download)

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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

Analysis of Variance for Random Models, Volume 2: Unbalanced Data

Author : Hardeo Sahai
Publisher : Springer Science & Business Media
ISBN 13 : 0817644253
Total Pages : 493 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Analysis of Variance for Random Models, Volume 2: Unbalanced Data by : Hardeo Sahai

Download or read book Analysis of Variance for Random Models, Volume 2: Unbalanced Data written by Hardeo Sahai and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematic treatment of the commonly employed crossed and nested classification models used in analysis of variance designs with a detailed and thorough discussion of certain random effects models not commonly found in texts at the introductory or intermediate level. It also includes numerical examples to analyze data from a wide variety of disciplines as well as any worked examples containing computer outputs from standard software packages such as SAS, SPSS, and BMDP for each numerical example.

Author :
Publisher : John Wiley & Sons
ISBN 13 : 111963542X
Total Pages : 690 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis by :

Download or read book written by and published by John Wiley & Sons. This book was released on with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Confidence Intervals for Functions of Variance Components in Random Effect Models

Author : Naitee Ting
Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Confidence Intervals for Functions of Variance Components in Random Effect Models by : Naitee Ting

Download or read book Confidence Intervals for Functions of Variance Components in Random Effect Models written by Naitee Ting and published by . This book was released on 1987 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fixed Effects Analysis of Variance

Author : Lloyd Fisher
Publisher : Academic Press
ISBN 13 : 1483217868
Total Pages : 192 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Fixed Effects Analysis of Variance by : Lloyd Fisher

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.

Analysis of Variance for Random Models

Author : Hardeo Sahai
Publisher : Springer Science & Business Media
ISBN 13 : 081768168X
Total Pages : 499 pages
Book Rating : 4.8/5 (176 download)

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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.

Experiments

Author : C. F. Jeff Wu
Publisher : John Wiley & Sons
ISBN 13 : 1118211537
Total Pages : 562 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Experiments by : C. F. Jeff Wu

Download or read book Experiments written by C. F. Jeff Wu and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition: "If you . . . want an up-to-date, definitive reference written by authors who have contributed much to this field, then this book is an essential addition to your library." —Journal of the American Statistical Association Fully updated to reflect the major progress in the use of statistically designed experiments for product and process improvement, Experiments, Second Edition introduces some of the newest discoveries—and sheds further light on existing ones—on the design and analysis of experiments and their applications in system optimization, robustness, and treatment comparison. Maintaining the same easy-to-follow style as the previous edition while also including modern updates, this book continues to present a new and integrated system of experimental design and analysis that can be applied across various fields of research including engineering, medicine, and the physical sciences. The authors modernize accepted methodologies while refining many cutting-edge topics including robust parameter design, reliability improvement, analysis of non-normal data, analysis of experiments with complex aliasing, multilevel designs, minimum aberration designs, and orthogonal arrays. Along with a new chapter that focuses on regression analysis, the Second Edition features expanded and new coverage of additional topics, including: Expected mean squares and sample size determination One-way and two-way ANOVA with random effects Split-plot designs ANOVA treatment of factorial effects Response surface modeling for related factors Drawing on examples from their combined years of working with industrial clients, the authors present many cutting-edge topics in a single, easily accessible source. Extensive case studies, including goals, data, and experimental designs, are also included, and the book's data sets can be found on a related FTP site, along with additional supplemental material. Chapter summaries provide a succinct outline of discussed methods, and extensive appendices direct readers to resources for further study. Experiments, Second Edition is an excellent book for design of experiments courses at the upper-undergraduate and graduate levels. It is also a valuable resource for practicing engineers and statisticians.

Design and Analysis of Experiments

Author : Angela Dean
Publisher : Springer
ISBN 13 : 3319522507
Total Pages : 852 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Design and Analysis of Experiments by : Angela Dean

Download or read book Design and Analysis of Experiments written by Angela Dean and published by Springer. This book was released on 2017-04-05 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a step-by-step guide to the experimental planning process and the ensuing analysis of normally distributed data, emphasizing the practical considerations governing the design of an experiment. Data sets are taken from real experiments and sample SAS programs are included with each chapter. Experimental design is an essential part of investigation and discovery in science; this book will serve as a modern and comprehensive reference to the subject.

Analysis of Messy Data Volume 1

Author : George A. Milliken
Publisher : CRC Press
ISBN 13 : 1420010158
Total Pages : 690 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Analysis of Messy Data Volume 1 by : George A. Milliken

Download or read book Analysis of Messy Data Volume 1 written by George A. Milliken and published by CRC Press. This book was released on 2009-03-02 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bestseller for nearly 25 years, Analysis of Messy Data, Volume 1: Designed Experiments helps applied statisticians and researchers analyze the kinds of data sets encountered in the real world. Written by two long-time researchers and professors, this second edition has been fully updated to reflect the many developments that have occurred since t

Issues in Statistics, Decision Making, and Stochastics: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464967059
Total Pages : 288 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Statistics, Decision Making, and Stochastics: 2011 Edition by :

Download or read book Issues in Statistics, Decision Making, and Stochastics: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Statistics, Decision Making, and Stochastics: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Statistics, Decision Making, and Stochastics. The editors have built Issues in Statistics, Decision Making, and Stochastics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Statistics, Decision Making, and Stochastics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Statistics, Decision Making, and Stochastics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

SAS for Mixed Models

Author : Walter W. Stroup
Publisher : SAS Institute
ISBN 13 : 163526152X
Total Pages : 608 pages
Book Rating : 4.6/5 (352 download)

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Book Synopsis SAS for Mixed Models by : Walter W. Stroup

Download or read book SAS for Mixed Models written by Walter W. Stroup and published by SAS Institute. This book was released on 2018-12-12 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the power of mixed models with SAS. Mixed models—now the mainstream vehicle for analyzing most research data—are part of the core curriculum in most master’s degree programs in statistics and data science. In a single volume, this book updates both SAS® for Linear Models, Fourth Edition, and SAS® for Mixed Models, Second Edition, covering the latest capabilities for a variety of applications featuring the SAS GLIMMIX and MIXED procedures. Written for instructors of statistics, graduate students, scientists, statisticians in business or government, and other decision makers, SAS® for Mixed Models is the perfect entry for those with a background in two-way analysis of variance, regression, and intermediate-level use of SAS. This book expands coverage of mixed models for non-normal data and mixed-model-based precision and power analysis, including the following topics: Random-effect-only and random-coefficients models Multilevel, split-plot, multilocation, and repeated measures models Hierarchical models with nested random effects Analysis of covariance models Generalized linear mixed models This book is part of the SAS Press program.

Skew-Normal Model Theories and Their Applications

Author : Rendao Ye
Publisher : CRC Press
ISBN 13 : 1040155383
Total Pages : 273 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis Skew-Normal Model Theories and Their Applications by : Rendao Ye

Download or read book Skew-Normal Model Theories and Their Applications written by Rendao Ye and published by CRC Press. This book was released on 2024-11-08 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on several skew-normal mixed effects models, and systematically explores statistical inference theories, methods, and applications of parameters of interest. This book is of academic value as it helps to establish a series of statistical inference theories and methods for skew-normal mixed effects models. On the applications side, it provides efficient methods and tools for practical data analysis in various fields including economics, finance, biology and medical science.

Advances in Meta-Analysis

Author : Terri Pigott
Publisher : Springer Science & Business Media
ISBN 13 : 1461422787
Total Pages : 166 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances in Meta-Analysis by : Terri Pigott

Download or read book Advances in Meta-Analysis written by Terri Pigott and published by Springer Science & Business Media. This book was released on 2012-02-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of the book is advanced statistical analyses for quantitative research synthesis (meta-analysis), and selected practical issues relating to research synthesis that are not covered in detail in the many existing introductory books on research synthesis (or meta-analysis). Complex statistical issues are arising more frequently as the primary research that is summarized in quantitative syntheses itself becomes more complex, and as researchers who are conducting meta-analyses become more ambitious in the questions they wish to address. Also as researchers have gained more experience in conducting research syntheses, several key issues have persisted and now appear fundamental to the enterprise of summarizing research. Specifically the book describes multivariate analyses for several indices commonly used in meta-analysis (e.g., correlations, effect sizes, proportions and/or odds ratios), will outline how to do power analysis for meta-analysis (again for each of the different kinds of study outcome indices), and examines issues around research quality and research design and their roles in synthesis. For each of the statistical topics we will examine the different possible statistical models (i.e., fixed, random, and mixed models) that could be adopted by a researcher. In dealing with the issues of study quality and research design it covers a number of specific topics that are of broad concern to research synthesists. In many fields a current issue is how to make sense of results when studies using several different designs appear in a research literature (e.g., Morris & Deshon, 1997, 2002). In education and other social sciences a critical aspect of this issue is how one might incorporate qualitative (e.g., case study) research within a synthesis. In medicine, related issues concern whether and how to summarize observational studies, and whether they should be combined with randomized controlled trials (or even if they should be combined at all). For each topic, included is a worked example (e.g., for the statistical analyses) and/or a detailed description of a published research synthesis that deals with the practical (non-statistical) issues covered.