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Probability & Statistics - Multivariate Analysis

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Vertical Density Representation and Its Applications
by Hou, Shuihung    Pang, Wai-Kai    Troutt, Marvin D.
(Hardcover - English - 9789812386939)
This book presents a new research topic in statistics -- vertical density representation (VDR). The theory of VDR has been found to be useful for developing new ideas and methodologies in statistics and management science. The first paper related to VDR appeared in 1991. Several others have since been published and work is continuing on the topic. The purpose of this book is to survey the results presented in those papers and provide some new, unpublished results.VDR may be regarded as a special kind of transformation. By assuming that a variate is uniformly distributed on the contours of a given function in real n-dimensional space, and considering the density ..
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Special Order
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Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition
by Yanai, Haruo    Takeuchi, Kei    Takane, Yoshio
(Hardcover - English - 9781441998866)
Fundamentals of Linear Algebra.- Projection Matrices.- Generalized Inverse Matrices.- Explicit Representations.- Singular Value Decomposition (SVD).- Various Applications. ..
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Theta Criteria: Multivariate Analysis
by Halitsky, Edward    Halitsky, Steve   
(Paperback - English - 9781456467203)
Theta Criteria are based on operator's theory and matrices decompositions. The main idea is to evaluate differences between sets of operators' eigenvalues & eigenvectors or eigenfunctions. Theta Criteria will lead to more efficient analysis, optimization and prognosis of multivariate systems and applications. Theta Criteria can be used for data set mining and image processing. The book is designed as a complementary tool for applied mathematics methods. More information at: www.ThetaCriteria.com Keywords: Block matrices, Canonical analysis, Condition, Determinant, Eigenfunctions, Eigenpair, Eigenvalues, Eigenvectors, Euclidean norm, Financial Problems Analysis, ..
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An Introduction to Multivariate Statistical Analysis
by Anderson, Theodore W.       
(Hardcover - English - 9780471360919)
Perfected over three editions and more than forty years, this field- and classroom-tested reference: br * Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. br * Treats all the basic and important topics in multivariate statistics. br * Adds two new chapters, along with a number of new sections. br * Provides the most methodical, up-to-date information on MV statistics available. ..
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An Introduction to Latent Variable Growth Curve Modeling: Concepts, Issues, and Application, Second Edition
by Duncan, Terry E.    Duncan, Susan C.    Strycker, Lisa A.
(Hardcover - English - 9780805855463)
This book provides a comprehensive introduction to latent variable growth curve modeling (LGM) for analyzing repeated measures. It presents the statistical basis for LGM and its various methodological extensions, including a number of practical examples of its use. It is designed to take advantage of the reader's familiarity with analysis of variance and structural equation modeling (SEM) in introducing LGM techniques. Sample data, syntax, input and output, are provided for EQS, Amos, LISREL, and Mplus on the book's CD. Throughout the book, the authors present a variety of LGM techniques that are useful for many different research designs, and numerous figures p ..
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An Introduction to Multivariate Data
by Cox, Trevor       
(Paperback - English - 9780470689189)
A comprehensive overview of multivariate data and analysis Providing an introduction to the subject of multivariate data analysis without delving deeply into underlying theory and concepts, An Introduction to Multivariate Data is an excellent resource for undergraduate statistics courses as well as for professionals who require an understanding of statistical techniques for analyzing their own data sets. Focused on real-world application, the book includes sample exercises in each chapter to firmly cement the concepts covered. Exercises range from simple problems that can be solved by hand or with a calculator, while others require the use of computer-based s ..
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Analyzing Categorical Data
by Simonoff, Jeffrey S.       
(Hardcover - English - 9780387007496)
Categorical data arise often in many fields, including biometrics, economics, management, manufacturing, marketing, psychology, and sociology. This book provides an introduction to the analysis of such data. The coverage is broad, using the loglinear Poisson regression model and logistic binomial regression models as the primary engines for methodology. Topics covered include count regression models, such as Poisson, negative binomial, zero-inflated, and zero-truncated models; loglinear models for two-dimensional and multidimensional contingency tables, including for square tables and tables with ordered categories; and regression models for two-category (binary ..
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Maximum Likelihood Estimation of Functional Relationships
by Nagelkerke, Nico J. D.       
(Paperback - English - 9780387977218)
The theory of functional relationships concerns itself with inference from models with a more complex error structure than those existing in regression models. We are familiar with the bivariate linear relationship having measurement errors in both variables and the fact that the standard regression estimator of the slope underestimates the true slope. One complication with inference about parameters in functional relationships, is that many of the standard properties of likelihood theory do not apply, at least not in the form in which they apply to e.g. regression models. This is probably one of the reasons why these models are not adequately discussed in most ..
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Geometric Data Analysis: From Correspondence Analysis to Structured Data Analysis
by Le Roux, Brigitte    Rouanet, Henry   
(Paperback - English - 9789048166190)
strong Geometric Data Analysis strong (GDA) is the name suggested by P. Suppes (Stanford University) to designate the approach to Multivariate Statistics initiated by Benz cri as Correspondence Analysis, an approach that has become more and more used and appreciated over the years. This book presents the full formalization of GDA in terms of linear algebra - the most original and far-reaching consequential feature of the approach - and shows also how to integrate the standard statistical tools such as Analysis of Variance, including Bayesian methods. Chapter 9, Research Case Studies, is nearly a book in itself; it presents the methodology in action on three e ..
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Multivariate Analysis, Volume 2, Part 2: Kendall's Library of Statistics
by Krzanowski, W. J.    Marriott, F. H. C.   
(Hardcover - English - 9780470711026)
A readable and user-friendly presentation of multivariate analysis A common and important statistical technique, multivariate analysis has applications in a wide range of fields of study, including subjects as diverse as biology and linguistics. Multivariate Analysis is a two-part overview that provides comprehensive coverage of all the available techniques for analyzing data in this form. The first part -- on distributions, ordination, and inference -- concentrates on basic techniques. While full technical details are supplied, the emphasis throughout is on a readable and user-friendly presentation with ample use of illustrative exercises. ..
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Linear Models: An Integrated Approach
by Jammalamadaka, S. Rao    Sengupta, Debasis   
(Hardcover - English - 9789810245924)
Linear Models: An Integrated Approach aims to provide a clear and deep understanding of the general linear model using simple statistical ideas. Elegant geometric arguments are also invoked as needed and a review of vector spaces and matrices is provided to make the treatment self-contained. Complex, matrix-algebraic methods, such as those used in the rank-deficient case, are replaced by statistical proofs that are more transparent and that show the parallels with the simple linear model.This book has the following special features: ..
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Special Order
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Discrete Multivariate Analysis: Theory and Practice
by Bishop, Yvonne M.    Light, R. J.    Fienberg, Stephen E.
(Paperback - English - 9780387728056)
6. 2 The Two-Sample Capture-Recapture Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231 6. 3 Conditional Maximum Likelihood Estimation of N . . . . . . . . . . . . . . . . . . . . . . 236 6. 4 The Three-Sample Census . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 6. 5 The General Multiple Recapture Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246 6. 6 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..
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Advances in Latent Variable Mixture Models (Hc)
by Hancock, Gregory R.    Samuelsen, Karen M.   
(Hardcover - English - 9781593118488)
The current volume, Advances in Latent Variable Mixture Models, contains chapters by all of the speakers who participated in the 2006 CILVR conference, providing not just a snapshot of the event, but more importantly chronicling the state of the art in latent variable mixture model research. The volume starts with an overview chapter by the CILVR conference keynote speaker, Bengt Muth n, offering a "lay of the land" for latent variable mixture models before the volume moves to more specific constellations of topics. Part I, Multilevel and Longitudinal Systems, deals with mixtures for data that are hierarchical in nature either due to the data's sampling structur ..
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Latent Trait and Latent Class Models
by Langeheine, R.    Rost, J.   
(Paperback - English - 9781475756463)
This volume is based on an international conference held at the Institute for Science Education (IPN) in Kiel in August 1985. The IPN is a national research institute for science education of the Federal Republic of Germany associated with the University of Kiel. The aim of this conference-to treat latent trait and latent class models under comparative points of view as well as under application aspects-was realized in many stimulating contributions and very different ways. We asked the authors of these papers to work out their contributions for publication here, not only because many of the papers present new material, but also because the time is ripe for a co ..
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Methods for Statistical Data Analysis of Multivariate Observations
by Gnanadesikan, R.       
(Hardcover - English - 9780471161196)
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 helpfulexamp ..
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Structural Equation Modeling with Eqs and Eqs/Windows: Basic Concepts, Applications, and Programming
by Byrne, Barbara       
(Hardcover - English - 9780803950917)
Designed to help beginners estimate and test structural equation modeling (SEM) using the EQS approach, this book demonstrates a variety of SEM EQS applications that include both partial factor analytic and full latent variable models. Beginning with an overview of the basic concepts of SEM and the EQS program, the author works through applications starting with a single sample approach to more advanced applications, such as a multi-sample approach. The book concludes with a section on using EQS for modeling with Windows. ..
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Probability: The Ultimate Beginner's Guide to Permutations & Combinations
by Taff, Arthur       
(Paperback - English - 9781985710368)
The Perfect Probability Book for Beginners Wanting to Learn About Permutations & Combinations Multi-time best selling IT & mathematics author , Arthur Taff, presents a leading book for beginners to learn and understand probability concepts such as permutations and combinations. Learning about probability with combinations and permutations gives you a competitive edge in ANY field. Whether it's poker, horse racing, weather forecasting, playing the lottery, general mathematics or virtually any other field where odds need to be determined-this book will help you succeed In this book, you will get: ul li A breakdown of the essentials of permutations and combinati ..
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Recent Advances in Descriptive Multivariate Analysis
by Krzanowski, Wojtek J.       
(Hardcover - English - 9780198522850)
This book provides a state of the art summary on the general theme of descriptive multivariate analysis. It consists of a collection of commissioned, edited articles by an international group of leading researchers: Phipps Arabie (Rutgers University) writes on "Clustering from the Perspective of Combinatorial Data Analysis". Bernard Flury (Indiana University) includes some highly novel and previously unpublished work in "Principal Component Models for Patterned Covariance Matrices". David Edwards' (University of Novi Nordisk, Denmark) "Graphical Modelling" and the chapter on "Convergent Computation" provide thorough and useful surveys of recent research not avai ..
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Analysis of Multiple Dependent Variables
by Dattalo, Patrick       
(Paperback - English - 9780199773596)
Multivariate procedures allow social workers and other human services researchers to analyze complex, multidimensional social problems and interventions in ways that minimize oversimplification. This pocket guide provides a concise, practical, and economical introduction to four procedures for the analysis of multiple dependent variables: multivariate analysis of variance (MANOVA), multivariate analysis of covariance (MANCOVA), multivariate multiple regression (MMR), and structural equation modeling (SEM). Each procedure will be presented in a way that allows readers to compare and contrast them in terms of (1) appropriate research context; (2) required statist ..
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Inference, Asymptotics and Applications: Selected Papers of Ib Michael Skovgaard, with Introductions by His Colleagues
by Reid, Nancy Margaret    Martinussen, Torben   
(Hardcover - English - 9789813207875)
This book showcases the innovative research of Professor Skovgaard, by providing in one place a selection of his most important and influential papers. Introductions by colleagues set in context the highlights, key achievements, and impact, of each work.This book provides a survey of the field of asymptotic theory and inference as it was being pushed forward during an exceptionally fruitful time. It provides students and researchers with an overview of many aspects of the field. ..
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