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Introduction to Multivariate Statistical Analysis in Chemometrics

Introduction to Multivariate Statistical Analysis in Chemometrics
Author: Kurt Varmuza
Publisher: CRC Press
Total Pages: 328
Release: 2016-04-19
Genre: Mathematics
ISBN: 1420059491

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Using formal descriptions, graphical illustrations, practical examples, and R software tools, Introduction to Multivariate Statistical Analysis in Chemometrics presents simple yet thorough explanations of the most important multivariate statistical methods for analyzing chemical data. It includes discussions of various statistical methods, such as


Multivariate Statistical Analysis

Multivariate Statistical Analysis
Author: Mukhopadhyay Parimal
Publisher: World Scientific Publishing Company
Total Pages: 568
Release: 2008-11-25
Genre: Mathematics
ISBN: 9813107111

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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. With its roots in matrix algebra, for which a separate chapter has been added as an appendix, the book includes both data-oriented techniques and a reasonable coverage of classical methods supplemented by comments about robustness and general practical applicability. It also illustrates the methods of numerical calculations at various stages.This self-contained 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.The author is a former Professor of the Indian Statistical Institute, India.


An Introduction to Multivariate Statistical Analysis

An Introduction to Multivariate Statistical Analysis
Author: Theodore W. Anderson
Publisher: Wiley-Interscience
Total Pages: 752
Release: 2013-06-03
Genre: Mathematics
ISBN: 9781118619131

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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.


Introduction to Multivariate Analysis

Introduction to Multivariate Analysis
Author: Chris Chatfield
Publisher: CRC Press
Total Pages: 262
Release: 1981-05-15
Genre: Mathematics
ISBN: 9780412160400

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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 Statistical Methods

Multivariate Statistical Methods
Author: Bryan F.J. Manly
Publisher: CRC Press
Total Pages: 227
Release: 2016-11-03
Genre: Mathematics
ISBN: 1498728995

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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.


An Introduction to Applied Multivariate Analysis with R

An Introduction to Applied Multivariate Analysis with R
Author: Brian Everitt
Publisher: Springer Science & Business Media
Total Pages: 284
Release: 2011-04-23
Genre: Mathematics
ISBN: 1441996508

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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.


Matrix-Based Introduction to Multivariate Data Analysis

Matrix-Based Introduction to Multivariate Data Analysis
Author: Kohei Adachi
Publisher: Springer
Total Pages: 298
Release: 2016-10-11
Genre: Mathematics
ISBN: 9811023417

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This book enables readers who may not be familiar with matrices to understand a variety of multivariate analysis procedures in matrix forms. Another feature of the book is that it emphasizes what model underlies a procedure and what objective function is optimized for fitting the model to data. The author believes that the matrix-based learning of such models and objective functions is the fastest way to comprehend multivariate data analysis. The text is arranged so that readers can intuitively capture the purposes for which multivariate analysis procedures are utilized: plain explanations of the purposes with numerical examples precede mathematical descriptions in almost every chapter. This volume is appropriate for undergraduate students who already have studied introductory statistics. Graduate students and researchers who are not familiar with matrix-intensive formulations of multivariate data analysis will also find the book useful, as it is based on modern matrix formulations with a special emphasis on singular value decomposition among theorems in matrix algebra. The book begins with an explanation of fundamental matrix operations and the matrix expressions of elementary statistics, followed by the introduction of popular multivariate procedures with advancing levels of matrix algebra chapter by chapter. This organization of the book allows readers without knowledge of matrices to deepen their understanding of multivariate data analysis.


An Introduction to Multivariate Statistical Analysis

An Introduction to Multivariate Statistical Analysis
Author: Theodore W. Anderson
Publisher:
Total Pages: 720
Release: 1984-09-28
Genre: Mathematics
ISBN:

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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.


AN INTRODUCTION TO MULTIVARIATE STATISTICAL ANALYSIS, 3RD ED

AN INTRODUCTION TO MULTIVARIATE STATISTICAL ANALYSIS, 3RD ED
Author: Theodore W. Anderson
Publisher: John Wiley & Sons
Total Pages: 0
Release: 2009
Genre:
ISBN:

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Market_Desc: Designed primarily as a text for a two-semester course in multivariate statistics Special Features: · Incorporates the advice and comments of the readers of the first two editions as well as extensively classroom-tested techniques and calculations· Two new chapters have been added, along with a number of new sections· Updating has been methodically executed when and where appropriate.· An accompaning ftp provides tables and data· New exercises have been added throughout. About The Book: For more than four decades An Introduction to Multivariate Statistical Analysis has been an invaluable text for students and a resource for professionals wishing to acquire a basic knowledge of multivariate statistical analysis. Since the previous edition, the field has grown significantly. This updated and improved Third Edition familiarizes readers with these new advances, elucidating several aspects that are particularly relevant to methodology and comprehension.


Multivariate Statistical Methods

Multivariate Statistical Methods
Author: George A. Marcoulides
Publisher: Psychology Press
Total Pages: 335
Release: 2014-01-14
Genre: Psychology
ISBN: 1317778553

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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.