methods of multivariate analysis

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Methods Of Multivariate Analysis

Author : Alvin C. Rencher
ISBN : 9780471461722
Genre : Mathematics
File Size : 24. 57 MB
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Amstat News asked three review editors to rate their topfive favorite books in the September 2003 issue. Methods ofMultivariate Analysis was among those chosen. When measuring several variables on a complex experimental unit,it is often necessary to analyze the variables simultaneously,rather than isolate them and consider them individually.Multivariate analysis enables researchers to explore the jointperformance of such variables and to determine the effect of eachvariable in the presence of the others. The Second Edition of AlvinRencher's Methods of Multivariate Analysis provides studentsof all statistical backgrounds with both the fundamental and moresophisticated skills necessary to master the discipline. To illustrate multivariate applications, the author providesexamples and exercises based on fifty-nine real data sets from awide variety of scientific fields. Rencher takes a "methods"approach to his subject, with an emphasis on how students andpractitioners can employ multivariate analysis in real-lifesituations. The Second Edition contains revised and updatedchapters from the critically acclaimed First Edition as well asbrand-new chapters on: Cluster analysis Multidimensional scaling Correspondence analysis Biplots Each chapter contains exercises, with corresponding answers andhints in the appendix, providing students the opportunity to testand extend their understanding of the subject. Methods ofMultivariate Analysis provides an authoritative reference forstatistics students as well as for practicing scientists andclinicians.

Methods Of Multivariate Analysis

Author : Alvin C. Rencher
ISBN : 9781118391679
Genre : Mathematics
File Size : 48. 6 MB
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Praise for the Second Edition "This book is a systematic, well-written, well-organized texton multivariate analysis packed with intuition and insight . . .There is much practical wisdom in this book that is hard to findelsewhere." —IIE Transactions Filled with new and timely content, Methods of MultivariateAnalysis, Third Edition provides examples and exercises basedon more than sixty real data sets from a wide variety of scientificfields. It takes a "methods" approach to the subject, placing anemphasis on how students and practitioners can employ multivariateanalysis in real-life situations. This Third Edition continues to explore the keydescriptive and inferential procedures that result frommultivariate analysis. Following a brief overview of the topic, thebook goes on to review the fundamentals of matrix algebra, samplingfrom multivariate populations, and the extension of commonunivariate statistical procedures (including t-tests,analysis of variance, and multiple regression) to analogousmultivariate techniques that involve several dependent variables.The latter half of the book describes statistical tools that areuniquely multivariate in nature, including procedures fordiscriminating among groups, characterizing low-dimensional latentstructure in high-dimensional data, identifying clusters in data,and graphically illustrating relationships in low-dimensionalspace. In addition, the authors explore a wealth of newly addedtopics, including: Confirmatory Factor Analysis Classification Trees Dynamic Graphics Transformations to Normality Prediction for Multivariate Multiple Regression Kronecker Products and Vec Notation New exercises have been added throughout the book, allowingreaders to test their comprehension of the presented material.Detailed appendices provide partial solutions as well assupplemental tables, and an accompanying FTP site features thebook's data sets and related SAS® code. Requiring only a basic background in statistics, Methods ofMultivariate Analysis, Third Edition is an excellent book forcourses on multivariate analysis and applied statistics at theupper-undergraduate and graduate levels. The book also serves as avaluable reference for both statisticians and researchers across awide variety of disciplines.

Nonparametric Methods In Multivariate Analysis

Author : Madan Lal Puri
ISBN : UCAL:B4407262
Genre : Mathematics
File Size : 27. 43 MB
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Computational Methods Of Multivariate Analysis In Physical Geography

Author : Paul M. Mather
ISBN : UOM:39015055445665
Genre : Science
File Size : 53. 26 MB
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An Introduction To Applied Multivariate Analysis With R

Author : Brian Everitt
ISBN : 1441996508
Genre : Mathematics
File Size : 78. 81 MB
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The majority of data sets collected by researchers in all disciplines are multivariate, meaning that several measurements, observations, or recordings are taken on each of the units in the data set. These units might be human subjects, archaeological artifacts, countries, or a vast variety of other things. In a few cases, it may be sensible to isolate each variable and study it separately, but in most instances all the variables need to be examined simultaneously in order to fully grasp the structure and key features of the data. For this purpose, one or another method of multivariate analysis might be helpful, and it is with such methods that this book is largely concerned. Multivariate analysis includes methods both for describing and exploring such data and for making formal inferences about them. The aim of all the techniques is, in general sense, to display or extract the signal in the data in the presence of noise and to find out what the data show us in the midst of their apparent chaos. An Introduction to Applied Multivariate Analysis with R explores the correct application of these methods so as to extract as much information as possible from the data at hand, particularly as some type of graphical representation, via the R software. Throughout the book, the authors give many examples of R code used to apply the multivariate techniques to multivariate data.

A Second Generation Of Multivariate Analysis Methods

Author : Claes Fornell
ISBN : 0030616042
Genre : Mathematics
File Size : 36. 40 MB
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Methods For Statistical Data Analysis Of Multivariate Observations

Author : R. Gnanadesikan
ISBN : 9781118030929
Genre : Mathematics
File Size : 69. 11 MB
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A practical guide for multivariate statistical techniques-- nowupdated and revised In recent years, innovations in computer technology and statisticalmethodologies have dramatically altered the landscape ofmultivariate data analysis. This new edition of Methods forStatistical Data Analysis of Multivariate Observations explorescurrent multivariate concepts and techniques while retaining thesame practical focus of its predecessor. It integrates methods anddata-based interpretations relevant to multivariate analysis in away that addresses real-world problems arising in many areas ofinterest. Greatly revised and updated, this Second Edition provides helpfulexamples, graphical orientation, numerous illustrations, and anappendix detailing statistical software, including the S (or Splus)and SAS systems. It also offers * An expanded chapter on cluster analysis that covers advances inpattern recognition * New sections on inputs to clustering algorithms and aids forinterpreting the results of cluster analysis * An exploration of some new techniques of summarization andexposure * New graphical methods for assessing the separations among theeigenvalues of a correlation matrix and for comparing sets ofeigenvectors * Knowledge gained from advances in robust estimation anddistributional models that are slightly broader than themultivariate normal This Second Edition is invaluable for graduate students, appliedstatisticians, engineers, and scientists wishing to usemultivariate techniques in a variety of disciplines.

Multivariate Statistical Inference And Applications

Author : Alvin C. Rencher
ISBN : 0471571512
Genre : Mathematics
File Size : 31. 50 MB
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The most accessible introduction to the theory and practice of multivariate analysis Multivariate Statistical Inference and Applications is a user-friendly introduction to basic multivariate analysis theory and practice for statistics majors as well as nonmajors with little or no background in theoretical statistics. Among the many special features of this extremely accessible first text on multivariate analysis are: * Clear, step-by-step explanations of all key concepts and procedures along with original, easy-to-follow proofs * Numerous problems, examples, and tables of distributions * Many real-world data sets drawn from a wide range of disciplines * Reviews of univariate procedures that give rise to multivariate techniques * An extensive survey of the world literature on multivariate analysis * An in-depth review of matrix theory * A disk including all the data sets and SAS command files for all examples and numerical problems found in the book These same features also make Multivariate Statistical Inference and Applications an excellent professional resource for scientists and clinicians who need to acquaint themselves with multivariate techniques. It can be used as a stand-alone introduction or in concert with its more methods-oriented sibling volume, the critically acclaimed Methods of Multivariate Analysis.

Applied Multivariate Analysis

Author : Neil H. Timm
ISBN : 9780387227719
Genre : Mathematics
File Size : 57. 14 MB
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This book provides a broad overview of the basic theory and methods of applied multivariate analysis. The presentation integrates both theory and practice including both the analysis of formal linear multivariate models and exploratory data analysis techniques. Each chapter contains the development of basic theoretical results with numerous applications illustrated using examples from the social and behavioral sciences, and other disciplines. All examples are analyzed using SAS for Windows Version 8.0.

Multivariate Statistical Methods

Author : Bryan F.J. Manly
ISBN : 1584884142
Genre : Mathematics
File Size : 83. 95 MB
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Multivariate methods are now widely used in the quantitative sciences as well as in statistics because of the ready availability of computer packages for performing the calculations. While access to suitable computer software is essential to using multivariate methods, using the software still requires a working knowledge of these methods and how they can be used. Multivariate Statistical Methods: A Primer, Third Edition introduces these methods and provides a general overview of the techniques without overwhelming you with comprehensive details. This thoroughly revised, updated edition of a best-selling introductory text retains the author's trademark clear, concise style but includes a range of new material, new exercises, and supporting materials on the Web. New in the Third Edition: Fully updated references Additional examples and exercises from the social and environmental sciences A comparison of the various statistical software packages, including Stata, Statistica, SAS Minitab, and Genstat, particularly in terms of their ease of use by beginners In his efforts to produce a book that is as short as possible and that enables you to begin to use multivariate methods in an intelligent manner, the author has produced a succinct and handy reference. With updated information on multivariate analyses, new examples using the latest software, and updated references, this book provides a timely introduction to useful tools for statistical analysis.

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