Aspects Of Multivariate Statistical Theory

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Aspects of Multivariate Statistical Theory

Author : Robb J. Muirhead
Publisher : John Wiley & Sons
ISBN 13 : 0470316705
Total Pages : 706 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Aspects of Multivariate Statistical Theory by : Robb J. Muirhead

Download or read book Aspects of Multivariate Statistical Theory written by Robb J. Muirhead and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. ". . . the wealth of material on statistics concerning the multivariate normal distribution is quite exceptional. As such it is a very useful source of information for the general statistician and a must for anyone wanting to penetrate deeper into the multivariate field." -Mededelingen van het Wiskundig Genootschap "This book is a comprehensive and clearly written text on multivariate analysis from a theoretical point of view." -The Statistician Aspects of Multivariate Statistical Theory presents a classical mathematical treatment of the techniques, distributions, and inferences based on multivariate normal distribution. Noncentral distribution theory, decision theoretic estimation of the parameters of a multivariate normal distribution, and the uses of spherical and elliptical distributions in multivariate analysis are introduced. Advances in multivariate analysis are discussed, including decision theory and robustness. The book also includes tables of percentage points of many of the standard likelihood statistics used in multivariate statistical procedures. This definitive resource provides in-depth discussion of the multivariate field and serves admirably as both a textbook and reference.

Theory of Multivariate Statistics

Author : Martin Bilodeau
Publisher : Springer Science & Business Media
ISBN 13 : 0387226168
Total Pages : 304 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Theory of Multivariate Statistics by : Martin Bilodeau

Download or read book Theory of Multivariate Statistics written by Martin Bilodeau and published by Springer Science & Business Media. This book was released on 2008-01-20 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as a textbook for students taking a first graduate course in the subject, as well as for the general reference of interested research workers, this text discusses, in a readable form, developments from recently published work on certain broad topics not otherwise easily accessible, such as robust inference and the use of the bootstrap in a multivariate setting. A minimum background expected of the reader would include at least two courses in mathematical statistics, and certainly some exposure to the calculus of several variables together with the descriptive geometry of linear algebra.

The Geometry of Multivariate Statistics

Author : Thomas D. Wickens
Publisher : Psychology Press
ISBN 13 : 1317780221
Total Pages : 216 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis The Geometry of Multivariate Statistics by : Thomas D. Wickens

Download or read book The Geometry of Multivariate Statistics written by Thomas D. Wickens and published by Psychology Press. This book was released on 2014-02-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: A traditional approach to developing multivariate statistical theory is algebraic. Sets of observations are represented by matrices, linear combinations are formed from these matrices by multiplying them by coefficient matrices, and useful statistics are found by imposing various criteria of optimization on these combinations. Matrix algebra is the vehicle for these calculations. A second approach is computational. Since many users find that they do not need to know the mathematical basis of the techniques as long as they have a way to transform data into results, the computation can be done by a package of computer programs that somebody else has written. An approach from this perspective emphasizes how the computer packages are used, and is usually coupled with rules that allow one to extract the most important numbers from the output and interpret them. Useful as both approaches are--particularly when combined--they can overlook an important aspect of multivariate analysis. To apply it correctly, one needs a way to conceptualize the multivariate relationships that exist among variables. This book is designed to help the reader develop a way of thinking about multivariate statistics, as well as to understand in a broader and more intuitive sense what the procedures do and how their results are interpreted. Presenting important procedures of multivariate statistical theory geometrically, the author hopes that this emphasis on the geometry will give the reader a coherent picture into which all the multivariate techniques fit.

Modern Multivariate Statistical Techniques

Author : Alan J. Izenman
Publisher : Springer Science & Business Media
ISBN 13 : 0387781897
Total Pages : 757 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Modern Multivariate Statistical Techniques by : Alan J. Izenman

Download or read book Modern Multivariate Statistical Techniques written by Alan J. Izenman and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on multivariate analysis to look at large data sets which describes the state of the art in analyzing such data. Material such as database management systems is included that has never appeared in statistics books before.

Multivariate Statistics

Author : Morris L. Eaton
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Multivariate Statistics by : Morris L. Eaton

Download or read book Multivariate Statistics written by Morris L. Eaton and published by . This book was released on 2007 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building from his lecture notes, Eaton (mathematics, U. of Minnesota) has designed this text to support either a one-year class in graduate-level multivariate courses or independent study. He presents a version of multivariate statistical theory in which vector space and invariance methods replace to a large extent more traditional multivariate methods. Using extensive examples and exercises Eaton describes vector space theory, random vectors, the normal distribution on a vector space, linear statistical models, matrix factorization and Jacobians, topological groups and invariant measures, first applications of invariance, the Wishart distribution, inferences for means in multivariate linear models and canonical correlation coefficients. Eaton also provides comments on selected exercises and a bibliography.

A First Course in Multivariate Statistics

Author : Bernard Flury
Publisher : Springer Science & Business Media
ISBN 13 : 1475727658
Total Pages : 723 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A First Course in Multivariate Statistics by : Bernard Flury

Download or read book A First Course in Multivariate Statistics written by Bernard Flury and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and self-contained introduction to the field, carefully balancing mathematical theory and practical applications. It starts at an elementary level, developing concepts of multivariate distributions from first principles. After a chapter on the multivariate normal distribution reviewing the classical parametric theory, methods of estimation are explored using the plug-in principles as well as maximum likelihood. Two chapters on discrimination and classification, including logistic regression, form the core of the book, followed by methods of testing hypotheses developed from heuristic principles, likelihood ratio tests and permutation tests. Finally, the powerful self-consistency principle is used to introduce principal components as a method of approximation, rounded off by a chapter on finite mixture analysis.

Multivariate Statistical Methods

Author : George A. Marcoulides
Publisher : Psychology Press
ISBN 13 : 1317778553
Total Pages : 335 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Multivariate Statistical Methods by : George A. Marcoulides

Download or read book Multivariate Statistical Methods written by George A. Marcoulides and published by Psychology Press. This book was released on 2014-01-14 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate statistics refer to an assortment of statistical methods that have been developed to handle situations in which multiple variables or measures are involved. Any analysis of more than two variables or measures can loosely be considered a multivariate statistical analysis. An introductory text for students learning multivariate statistical methods for the first time, this book keeps mathematical details to a minimum while conveying the basic principles. One of the principal strategies used throughout the book--in addition to the presentation of actual data analyses--is pointing out the analogy between a common univariate statistical technique and the corresponding multivariate method. Many computer examples--drawing on SAS software --are used as demonstrations. Throughout the book, the computer is used as an adjunct to the presentation of a multivariate statistical method in an empirically oriented approach. Basically, the model adopted in this book is to first present the theory of a multivariate statistical method along with the basic mathematical computations necessary for the analysis of data. Subsequently, a real world problem is discussed and an example data set is provided for analysis. Throughout the presentation and discussion of a method, many references are made to the computer, output are explained, and exercises and examples with real data are included.

Multivariate Statistical Methods

Author : Bryan F.J. Manly
Publisher : CRC Press
ISBN 13 : 1498728995
Total Pages : 227 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Multivariate Statistical Methods by : Bryan F.J. Manly

Download or read book Multivariate Statistical Methods written by Bryan F.J. Manly and published by CRC Press. This book was released on 2016-11-03 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Statistical Methods: A Primer provides an introductory overview of multivariate methods without getting too deep into the mathematical details. This fourth edition is a revised and updated version of this bestselling introductory textbook. It retains the clear and concise style of the previous editions of the book and focuses on examples from biological and environmental sciences. The major update with this edition is that R code has been included for each of the analyses described, although in practice any standard statistical package can be used. The original idea with this book still applies. This was to make it as short as possible and enable readers to begin using multivariate methods in an intelligent manner. With updated information on multivariate analyses, new references, and R code included, this book continues to provide a timely introduction to useful tools for multivariate statistical analysis.

Multivariate Statistical Process Control with Industrial Applications

Author : Robert L. Mason
Publisher : SIAM
ISBN 13 : 0898714966
Total Pages : 271 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Multivariate Statistical Process Control with Industrial Applications by : Robert L. Mason

Download or read book Multivariate Statistical Process Control with Industrial Applications written by Robert L. Mason and published by SIAM. This book was released on 2002-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed coverage of the practical aspects of multivariate statistical process control (MVSPC) based on the application of Hotelling's T2 statistic. MVSPC is the application of multivariate statistical techniques to improve the quality and productivity of an industrial process. Provides valuable insight into the T2 statistic.

An Introduction to Multivariate Statistical Analysis

Author : Theodore W. Anderson
Publisher :
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis An Introduction to Multivariate Statistical Analysis by : Theodore W. Anderson

Download or read book An Introduction to Multivariate Statistical Analysis written by Theodore W. Anderson and published by . This book was released on 1984-09-28 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction; 2. The multivariate normal distribution; 3. Estimation of the mean vector and the covariance matrix; 4. Distributions and uses of sample correlation coefficients; 5. The generalized T2-Statistic; 6. Classification of observations; 7. The distribution of the sample covariance matrix and the sample generalized variance; 8. Testing the general linear hypothesis; Multivariate analysis of variance; 9. Testing independence of sets of variates; 10. Testing hypothesis of equality of coariance matrices and equality of mean vectors and covariance matrices; 11. Principal components; 12. Canonical correlations and canonical variables; 13. The distributions of characteristic roots and vectors; 14. Factor analysis.

Applied Univariate, Bivariate, and Multivariate Statistics

Author : Daniel J. Denis
Publisher : John Wiley & Sons
ISBN 13 : 1118632311
Total Pages : 760 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Applied Univariate, Bivariate, and Multivariate Statistics by : Daniel J. Denis

Download or read book Applied Univariate, Bivariate, and Multivariate Statistics written by Daniel J. Denis and published by John Wiley & Sons. This book was released on 2015-11-02 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and efficient balance between theory and application of statistical modeling techniques in the social and behavioral sciences Written as a general and accessible introduction, Applied Univariate, Bivariate, and Multivariate Statistics provides an overview of statistical modeling techniques used in fields in the social and behavioral sciences. Blending statistical theory and methodology, the book surveys both the technical and theoretical aspects of good data analysis. Featuring applied resources at various levels, the book includes statistical techniques such as t-tests and correlation as well as more advanced procedures such as MANOVA, factor analysis, and structural equation modeling. To promote a more in-depth interpretation of statistical techniques across the sciences, the book surveys some of the technical arguments underlying formulas and equations. Applied Univariate, Bivariate, and Multivariate Statistics also features Demonstrations of statistical techniques using software packages such as R and SPSS® Examples of hypothetical and real data with subsequent statistical analyses Historical and philosophical insights into many of the techniques used in modern social science A companion website that includes further instructional details, additional data sets, solutions to selected exercises, and multiple programming options An ideal textbook for courses in statistics and methodology at the upper- undergraduate and graduate-levels in psychology, political science, biology, sociology, education, economics, communications, law, and survey research, Applied Univariate, Bivariate, and Multivariate Statistics is also a useful reference for practitioners and researchers in their field of application. DANIEL J. DENIS, PhD, is Associate Professor of Quantitative Psychology at the University of Montana where he teaches courses in univariate and multivariate statistics. He has published a number of articles in peer-reviewed journals and has served as consultant to researchers and practitioners in a variety of fields.

An Introduction to Multivariate Statistical Analysis

Author : T. W. Anderson
Publisher : Wiley-Interscience
ISBN 13 : 9780471360919
Total Pages : 721 pages
Book Rating : 4.3/5 (69 download)

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Book Synopsis An Introduction to Multivariate Statistical Analysis by : T. W. Anderson

Download or read book An Introduction to Multivariate Statistical Analysis written by T. W. Anderson and published by Wiley-Interscience. This book was released on 2003-07-25 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perfected over three editions and more than forty years, this field- and classroom-tested reference: * Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. * Treats all the basic and important topics in multivariate statistics. * Adds two new chapters, along with a number of new sections. * Provides the most methodical, up-to-date information on MV statistics available.

Multivariate Statistical Analysis

Author : Parimal Mukhopadhyay
Publisher : World Scientific
ISBN 13 : 9812791752
Total Pages : 568 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Multivariate Statistical Analysis by : Parimal Mukhopadhyay

Download or read book Multivariate Statistical Analysis written by Parimal Mukhopadhyay and published by World Scientific. This book was released on 2009 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This textbook presents a classical approach to some techniques of multivariate analysis in a simple and transparent manner. It offers clear and concise development of the concepts; interpretation of the output of the analysis; and criteria for selection of the methods, taking into account the strengths and weaknesses of each." "This book is ideal as an advanced textbook for graduate students in statistics and other disciplines like social, biological and physical sciences. It will also be of benefit to professional statisticians." --Book Jacket.

Applied Multivariate Statistical Concepts

Author : Debbie L. Hahs-Vaughn
Publisher : Routledge
ISBN 13 : 1317811364
Total Pages : 812 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis Applied Multivariate Statistical Concepts by : Debbie L. Hahs-Vaughn

Download or read book Applied Multivariate Statistical Concepts written by Debbie L. Hahs-Vaughn and published by Routledge. This book was released on 2016-12-01 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: More comprehensive than other texts, this new book covers the classic and cutting edge multivariate techniques used in today’s research. Ideal for courses on multivariate statistics/analysis/design, advanced statistics or quantitative techniques taught in psychology, education, sociology, and business, the book also appeals to researchers with no training in multivariate methods. Through clear writing and engaging pedagogy and examples using real data, Hahs-Vaughn walks students through the most used methods to learn why and how to apply each technique. A conceptual approach with a higher than usual text-to-formula ratio helps reader’s master key concepts so they can implement and interpret results generated by today’s sophisticated software. Annotated screenshots from SPSS and other packages are integrated throughout. Designed for course flexibility, after the first 4 chapters, instructors can use chapters in any sequence or combination to fit the needs of their students. Each chapter includes a ‘mathematical snapshot’ that highlights the technical components of each procedure, so only the most crucial equations are included. Highlights include: -Outlines, key concepts, and vignettes related to key concepts preview what’s to come in each chapter -Examples using real data from education, psychology, and other social sciences illustrate key concepts -Extensive coverage of assumptions including tables, the effects of their violation, and how to test for each technique -Conceptual, computational, and interpretative problems mirror the real-world problems students encounter in their studies and careers -A focus on data screening and power analysis with attention on the special needs of each particular method -Instructions for using SPSS via screenshots and annotated output along with HLM, Mplus, LISREL, and G*Power where appropriate, to demonstrate how to interpret results -Templates for writing research questions and APA-style write-ups of results which serve as models -Propensity score analysis chapter that demonstrates the use of this increasingly popular technique -A review of matrix algebra for those who want an introduction (prerequisites include an introduction to factorial ANOVA, ANCOVA, and simple linear regression, but knowledge of matrix algebra is not assumed) -www.routledge.com/9780415842365 provides the text’s datasets preformatted for use in SPSS and other statistical packages for readers, as well as answers to all chapter problems, Power Points, and test items for instructors

An Introduction to Applied Multivariate Analysis with R

Author : Brian Everitt
Publisher : Springer Science & Business Media
ISBN 13 : 1441996508
Total Pages : 284 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis An Introduction to Applied Multivariate Analysis with R by : Brian Everitt

Download or read book An Introduction to Applied Multivariate Analysis with R written by Brian Everitt and published by Springer Science & Business Media. This book was released on 2011-04-23 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Multivariate Analysis

Author : Chris Chatfield
Publisher : CRC Press
ISBN 13 : 9780412160400
Total Pages : 262 pages
Book Rating : 4.1/5 (64 download)

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Book Synopsis Introduction to Multivariate Analysis by : Chris Chatfield

Download or read book Introduction to Multivariate Analysis written by Chris Chatfield and published by CRC Press. This book was released on 1981-05-15 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the analysis of multivariate data.It describes multivariate probability distributions, the preliminary analysisof a large -scale set of data, princ iple component and factor analysis, traditional normal theory material, as well as multidimensional scaling andcluster analysis.Introduction to Multivariate Analysis provides a reasonable blend oftheory and practice. Enough theory is given to introduce the concepts andto make the topics mathematically interesting. In addition the authors discussthe use (and misuse) of the techniques in pra ctice and present appropriatereal-life examples from a variety of areas includ ing agricultural research, soc iology and crim inology. The book should be suitable both for researchworkers and as a text for students taking a course on multivariate analysi

Multivariate Statistics for Wildlife and Ecology Research

Author : Kevin McGarigal
Publisher : Springer Science & Business Media
ISBN 13 : 146121288X
Total Pages : 293 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Multivariate Statistics for Wildlife and Ecology Research by : Kevin McGarigal

Download or read book Multivariate Statistics for Wildlife and Ecology Research written by Kevin McGarigal and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: With its focus on the practical application of the techniques of multivariate statistics, this book shapes the powerful tools of statistics for the specific needs of ecologists and makes statistics more applicable to their course of study. It gives readers a solid conceptual understanding of the role of multivariate statistics in ecological applications and the relationships among various techniques, while avoiding detailed mathematics and the underlying theory. More importantly, the reader will gain insight into the type of research questions best handled by each technique and the important considerations in applying them. Whether used as a textbook for specialised courses or as a supplement to general statistics texts, the book emphasises those techniques that students of ecology and natural resources most need to understand and employ in their research. While targeted for upper-division and graduate students in wildlife biology, forestry, and ecology, and for professional wildlife scientists and natural resource managers, this book will also be valuable to researchers in any of the biological sciences.