The Analysis of Variance

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Publisher : Springer Science & Business Media
ISBN 13 : 1461213444
Total Pages : 766 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Analysis of Variance by : Hardeo Sahai

Download or read book The Analysis of Variance written by Hardeo Sahai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of variance (ANOYA) models have become one of the most widely used tools of modern statistics for analyzing multifactor data. The ANOYA models provide versatile statistical tools for studying the relationship between a dependent variable and one or more independent variables. The ANOYA mod els are employed to determine whether different variables interact and which factors or factor combinations are most important. They are appealing because they provide a conceptually simple technique for investigating statistical rela tionships among different independent variables known as factors. Currently there are several texts and monographs available on the sub ject. However, some of them such as those of Scheffe (1959) and Fisher and McDonald (1978), are written for mathematically advanced readers, requiring a good background in calculus, matrix algebra, and statistical theory; whereas others such as Guenther (1964), Huitson (1971), and Dunn and Clark (1987), although they assume only a background in elementary algebra and statistics, treat the subject somewhat scantily and provide only a superficial discussion of the random and mixed effects analysis of variance.

Advanced Analysis of Variance

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Publisher : John Wiley & Sons
ISBN 13 : 1119303338
Total Pages : 432 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Advanced Analysis of Variance by : Chihiro Hirotsu

Download or read book Advanced Analysis of Variance written by Chihiro Hirotsu and published by John Wiley & Sons. This book was released on 2017-08-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing a revolutionary new model for the statistical analysis of experimental data In this important book, internationally acclaimed statistician, Chihiro Hirotsu, goes beyond classical analysis of variance (ANOVA) model to offer a unified theory and advanced techniques for the statistical analysis of experimental data. Dr. Hirotsu introduces the groundbreaking concept of advanced analysis of variance (AANOVA) and explains how the AANOVA approach exceeds the limitations of ANOVA methods to allow for global reasoning utilizing special methods of simultaneous inference leading to individual conclusions. Focusing on normal, binomial, and categorical data, Dr. Hirotsu explores ANOVA theory and practice and reviews current developments in the field. He then introduces three new advanced approaches, namely: testing for equivalence and non-inferiority; simultaneous testing for directional (monotonic or restricted) alternatives and change-point hypotheses; and analyses emerging from categorical data. Using real-world examples, he shows how these three recognizable families of problems have important applications in most practical activities involving experimental data in an array of research areas, including bioequivalence, clinical trials, industrial experiments, pharmaco-statistics, and quality control, to name just a few. • Written in an expository style which will encourage readers to explore applications for AANOVA techniques in their own research • Focuses on dealing with real data, providing real-world examples drawn from the fields of statistical quality control, clinical trials, and drug testing • Describes advanced methods developed and refined by the author over the course of his long career as research engineer and statistician • Introduces advanced technologies for AANOVA data analysis that build upon the basic ANOVA principles and practices Introducing a breakthrough approach to statistical analysis which overcomes the limitations of the ANOVA model, Advanced Analysis of Variance is an indispensable resource for researchers and practitioners working in fields within which the statistical analysis of experimental data is a crucial research component. Chihiro Hirotsu is a Senior Researcher at the Collaborative Research Center, Meisei University, and Professor Emeritus at the University of Tokyo. He is a fellow of the American Statistical Association, an elected member of the International Statistical Institute, and he has been awarded the Japan Statistical Society Prize (2005) and the Ouchi Prize (2006). His work has been published in Biometrika, Biometrics, and Computational Statistics & Data Analysis, among other premier research journals.

Two-Way Analysis of Variance

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Publisher : Springer Science & Business Media
ISBN 13 : 1461421330
Total Pages : 146 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Two-Way Analysis of Variance by : Thomas W. MacFarland

Download or read book Two-Way Analysis of Variance written by Thomas W. MacFarland and published by Springer Science & Business Media. This book was released on 2011-12-09 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​In statistics, analysis of variance (ANOVA) is a collection of statistical models used to distinguish between an observed variance in a particular variable and its component parts. In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are all equal, and therefore generalizes a test between these groups. One test often used by statisticians and researchers in their work is the Two-Way ANOVA, which determines the differences--and possible interactions--when variables are presented from the perspective of two or more categories. When a Two-Way ANOVA is implemented, it enables one to compare and contrast variables resulting from independent or joint actions. This brief provides guidance on how R can be used to facilitate Two-Way ANOVA for data analysis and graphical presentation. Along with instruction on the use of R and R syntax associated with Two-Way ANOVA, this brief will also reinforce the use of descriptive statistics and graphical figures to complement outcomes from parametric Two-Way ANOVA.

Analysis of Variance, Design, and Regression

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Publisher : CRC Press
ISBN 13 : 9780412062919
Total Pages : 608 pages
Book Rating : 4.0/5 (629 download)

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Book Synopsis Analysis of Variance, Design, and Regression by : Ronald Christensen

Download or read book Analysis of Variance, Design, and Regression written by Ronald Christensen and published by CRC Press. This book was released on 1996-06-01 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a comprehensive treatment of basic statistical methods and their applications. It focuses on the analysis of variance and regression, but also addressing basic ideas in experimental design and count data. The book has four connecting themes: similarity of inferential procedures, balanced one-way analysis of variance, comparison of models, and checking assumptions. Most inferential procedures are based on identifying a scalar parameter of interest, estimating that parameter, obtaining the standard error of the estimate, and identifying the appropriate reference distribution. Given these items, the inferential procedures are identical for various parameters. Balanced one-way analysis of variance has a simple, intuitive interpretation in terms of comparing the sample variance of the group means with the mean of the sample variance for each group. All balanced analysis of variance problems are considered in terms of computing sample variances for various group means. Comparing different models provides a structure for examining both balanced and unbalanced analysis of variance problems and regression problems. Checking assumptions is presented as a crucial part of every statistical analysis. Examples using real data from a wide variety of fields are used to motivate theory. Christensen consistently examines residual plots and presents alternative analyses using different transformation and case deletions. Detailed examination of interactions, three factor analysis of variance, and a split-plot design with four factors are included. The numerous exercises emphasize analysis of real data. Senior undergraduate and graduate students in statistics and graduate students in other disciplines using analysis of variance, design of experiments, or regression analysis will find this book useful.

The Analysis of Variance

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Publisher : John Wiley & Sons
ISBN 13 : 9780471345053
Total Pages : 500 pages
Book Rating : 4.3/5 (45 download)

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Book Synopsis The Analysis of Variance by : Henry Scheffé

Download or read book The Analysis of Variance written by Henry Scheffé and published by John Wiley & Sons. This book was released on 1999-03-05 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1959, this classic volume has had a major impact on generations of statisticians. Newly issued in the Wiley Classics Series, the book examines the basic theory of analysis of variance by considering several different mathematical models. Part I looks at the theory of fixed-effects models with independent observations of equal variance, while Part II begins to explore the analysis of variance in the case of other models.

Introduction to Analysis of Variance

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Publisher : SAGE Publications
ISBN 13 : 1506349692
Total Pages : 192 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Introduction to Analysis of Variance by : J. Rick Turner

Download or read book Introduction to Analysis of Variance written by J. Rick Turner and published by SAGE Publications. This book was released on 2001-04-13 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized so that the reader moves from the simplest type of design to more complex ones, the authors introduce five different kinds of ANOVA techniques and explain which design//analysis is appropriate to answer specific questions.

Analysis of Variance and Functional Measurement

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Publisher : Oxford University Press
ISBN 13 : 0195183150
Total Pages : 278 pages
Book Rating : 4.1/5 (951 download)

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Book Synopsis Analysis of Variance and Functional Measurement by : David J. Weiss

Download or read book Analysis of Variance and Functional Measurement written by David J. Weiss and published by Oxford University Press. This book was released on 2006 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear and straightforward guide to analysis of variance, the backbone of experimental research. Demonstrates how to interpret statistical results and translate them into prose that will clearly tell the audience what the data is saying. End-of-chapter practice problems with suggested answers.

Levine's Guide to SPSS for Analysis of Variance

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Publisher : Psychology Press
ISBN 13 : 1135674396
Total Pages : 333 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Levine's Guide to SPSS for Analysis of Variance by : Sanford L. Braver

Download or read book Levine's Guide to SPSS for Analysis of Variance written by Sanford L. Braver and published by Psychology Press. This book was released on 2003-06-20 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: A greatly expanded and heavily revised second edition, this popular guide provides instructions and clear examples for running analyses of variance (ANOVA) and several other related statistical tests of significance with SPSS. No other guide offers the program statements required for the more advanced tests in analysis of variance. All of the programs in the book can be run using any version of SPSS, including versions 11 and 11.5. A table at the end of the preface indicates where each type of analysis (e.g., simple comparisons) can be found for each type of design (e.g., mixed two-factor design). Providing comprehensive coverage of the basic and advanced topics in ANOVA, this is the only book available that provides extensive coverage of SPSS syntax, including the commands and subcommands that tell SPSS what to do, as well as the pull-down menu point-and-click method (PAC). Detailed explanation of the syntax, including what is necessary, desired, and optional helps ensure that users can validate the analysis being performed. The book features the output of each design along with a complete explanation of the related printout. The new edition was reorganized to provide all analysis related to one design type in the same chapter. It now features expanded coverage of analysis of covariance (ANCOVA) and mixed designs, new chapters on designs with random factors, multivariate designs, syntax used in PAC, and all new examples of output with complete explanations. The new edition is accompanied by downloadable resources with all of the book's data sets, as well as exercises for each chapter. This book is ideal for readers familiar with the basic concepts of the ANOVA technique including both practicing researchers and data analysts, as well as advanced students learning analysis of variance.

A Student's Guide to Analysis of Variance

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Publisher : Routledge
ISBN 13 : 1317725050
Total Pages : 292 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis A Student's Guide to Analysis of Variance by : Maxwell J. Roberts

Download or read book A Student's Guide to Analysis of Variance written by Maxwell J. Roberts and published by Routledge. This book was released on 2014-06-03 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the investigation of human behaviour, statistical techniques are employed widely in the social sciences. Whilst introductory statistics courses cover essential techniques, the complexities of behaviour demand that more flexible and comprehensive methods are also employed. Analysis of Variance (ANOVA) has become one of the most common of these and it is therefore essential for both student and researcher to have a thorough understanding of it. A Student's Guide to Analysis of Variance covers a range of statistical techniques associated with ANOVA, including single and multiple factor designs, various follow-up procedures such as post-hoc tests, and how to make sense of interactions. Suggestions on the best use of techniques and advice on how to avoid the pitfalls are included, along with guidelines on the writing of formal reports. Introductory level topics such as standard deviation, standard error and t-tests are revised, making this book an invaluable aid to all students for whom ANOVA is a compulsory topic. It will also serve as a useful refresher for the more advanced student and practising researcher.

Analysis of Variance and Covariance

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Publisher : Cambridge University Press
ISBN 13 : 9780521865623
Total Pages : 304 pages
Book Rating : 4.8/5 (656 download)

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Book Synopsis Analysis of Variance and Covariance by : C. Patrick Doncaster

Download or read book Analysis of Variance and Covariance written by C. Patrick Doncaster and published by Cambridge University Press. This book was released on 2007-08-30 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of variance (ANOVA) is a core technique for analysing data in the Life Sciences. This reference book bridges the gap between statistical theory and practical data analysis by presenting a comprehensive set of tables for all standard models of analysis of variance and covariance with up to three treatment factors. The book will serve as a tool to help post-graduates and professionals define their hypotheses, design appropriate experiments, translate them into a statistical model, validate the output from statistics packages and verify results. The systematic layout makes it easy for readers to identify which types of model best fit the themes they are investigating, and to evaluate the strengths and weaknesses of alternative experimental designs. In addition, a concise introduction to the principles of analysis of variance and covariance is provided, alongside worked examples illustrating issues and decisions faced by analysts.

Fundamentals of Exploratory Analysis of Variance

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Publisher : John Wiley & Sons
ISBN 13 : 0470317663
Total Pages : 448 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Fundamentals of Exploratory Analysis of Variance by : David C. Hoaglin

Download or read book Fundamentals of Exploratory Analysis of Variance written by David C. Hoaglin and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of variance is presented as an exploratory component of data analysis, while retaining the customary least squares fitting methods. Balanced data layouts are used to reveal key ideas and techniques for exploration. The approach emphasizes both the individual observations and the separate parts that the analysis produces. Most chapters include exercises and the appendices give selected percentage points of the Gaussian, t, F chi-squared and studentized range distributions.

Analysis of Variance Via Confidence Intervals

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Publisher : SAGE
ISBN 13 : 9780761963578
Total Pages : 244 pages
Book Rating : 4.9/5 (635 download)

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Book Synopsis Analysis of Variance Via Confidence Intervals by : K D Bird

Download or read book Analysis of Variance Via Confidence Intervals written by K D Bird and published by SAGE. This book was released on 2004-12-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of variance - ANOVA - constitutes the main set of statistical methods through which undergraduate and postgraduate students carry out multivariate analysis. This textbook adopts an innovative approach to ANOVA, placing emphasis on confidence intervals rather than tests of significance.

Online Statistics Education

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Publisher :
ISBN 13 : 9781687894250
Total Pages : 406 pages
Book Rating : 4.8/5 (942 download)

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Book Synopsis Online Statistics Education by : David M Lane

Download or read book Online Statistics Education written by David M Lane and published by . This book was released on 2014-12-02 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Online Statistics: An Interactive Multimedia Course of Study is a resource for learning and teaching introductory statistics. It contains material presented in textbook format and as video presentations. This resource features interactive demonstrations and simulations, case studies, and an analysis lab.This print edition of the public domain textbook gives the student an opportunity to own a physical copy to help enhance their educational experience. This part I features the book Front Matter, Chapters 1-10, and the full Glossary. Chapters Include:: I. Introduction, II. Graphing Distributions, III. Summarizing Distributions, IV. Describing Bivariate Data, V. Probability, VI. Research Design, VII. Normal Distributions, VIII. Advanced Graphs, IX. Sampling Distributions, and X. Estimation. Online Statistics Education: A Multimedia Course of Study (http: //onlinestatbook.com/). Project Leader: David M. Lane, Rice University.

Analysis of Variance Designs

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Publisher :
ISBN 13 : 9780511429156
Total Pages : 596 pages
Book Rating : 4.4/5 (291 download)

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Book Synopsis Analysis of Variance Designs by : Glenn Gamst

Download or read book Analysis of Variance Designs written by Glenn Gamst and published by . This book was released on 2008 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explains ANOVA designs for advanced undergraduates and graduate students in the behavioural sciences.

Analysis of Variance for Functional Data

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Publisher : CRC Press
ISBN 13 : 1439862745
Total Pages : 412 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Analysis of Variance for Functional Data by : Jin-Ting Zhang

Download or read book Analysis of Variance for Functional Data written by Jin-Ting Zhang and published by CRC Press. This book was released on 2013-06-18 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite research interest in functional data analysis in the last three decades, few books are available on the subject. Filling this gap, Analysis of Variance for Functional Data presents up-to-date hypothesis testing methods for functional data analysis. The book covers the reconstruction of functional observations, functional ANOVA, functional linear models with functional responses, ill-conditioned functional linear models, diagnostics of functional observations, heteroscedastic ANOVA for functional data, and testing equality of covariance functions. Although the methodologies presented are designed for curve data, they can be extended to surface data. Useful for statistical researchers and practitioners analyzing functional data, this self-contained book gives both a theoretical and applied treatment of functional data analysis supported by easy-to-use MATLAB® code. The author provides a number of simple methods for functional hypothesis testing. He discusses pointwise, L2-norm-based, F-type, and bootstrap tests. Assuming only basic knowledge of statistics, calculus, and matrix algebra, the book explains the key ideas at a relatively low technical level using real data examples. Each chapter also includes bibliographical notes and exercises. Real functional data sets from the text and MATLAB codes for analyzing the data examples are available for download from the author’s website.

Analysis of Variance in Experimental Design

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Publisher : Springer Science & Business Media
ISBN 13 : 1461397227
Total Pages : 532 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Analysis of Variance in Experimental Design by : Harold R. Lindman

Download or read book Analysis of Variance in Experimental Design written by Harold R. Lindman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an introductory textbook on the analysis of variance or a reference for the researcher, this text stresses applications rather than theory, but gives enough theory to enable the reader to apply the methods intelligently rather than mechanically. Comprehensive, and covering the important techniques in the field, including new methods of post hoc testing. The relationships between different research designs are emphasized, and these relationships are exploited to develop general principles which are generalized to the analyses of a large number of seemingly differentdesigns. Primarily for graduate students in any field where statistics are used.

Multivariate Analysis of Variance

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Publisher : SAGE
ISBN 13 : 9780803923102
Total Pages : 84 pages
Book Rating : 4.9/5 (231 download)

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Book Synopsis Multivariate Analysis of Variance by : James H. Bray

Download or read book Multivariate Analysis of Variance written by James H. Bray and published by SAGE. This book was released on 1985 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bray's monograph considers the multivariate form of analysis of variance (MANOVA). It is a technique which can be used in such different academic disciplines as psychology, sociology, biology, and education.