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Probability & Statistics - Multivariate Analysis

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Geometry Driven Statistics
by Kent, John T.    Dryden, Ian L.   
(Hardcover - English - 9781118866573)
A timely collection of advanced, original material in the area of statistical methodology motivated by geometric problems, dedicated to the influential work of Kanti V. Mardia This volume celebrates Kanti V. Mardia's long and influential career in statistics. A common theme unifying much of Mardia's work is the importance of geometry in statistics, and to highlight the areas emphasized in his research this book brings together 16 contributions from high-profile researchers in the field. "Geometry Driven Statistics" covers a wide range of application areas including directional data, shape analysis, spatial data, climate science, fingerprints, image analysis, com ..
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Modelling Generalized Linear (Loglinear) Models for Raters Agreement Measure: With Complete and Missing Values Cases
by Adejumo, Adebowale Olusola    Toutenburg, Helge   
(Paperback - English - 9780820477824)
Raters have become an important source of measuring errors in recent time researches in nearly all the fields of human endeavour. Kappa-like statistics have been used to great advantages in almost every area of life and social sciences. However, these Kappa-like statistics have some shortcomings. In the book, some selected loglinear models are considered for raters agreement using generalized linear models (GLMs) ..
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Multivariate Statistical Methods: A Primer, Fourth Edition
by Manly, Bryan F. J.    Navarro Alberto, Jorge A.   
(Paperback - English - 9781498728966)
strong Multivariate Statistical Methods: A Primer strong 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 possi ..
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Modelling Generalized Linear (Loglinear) Models for Raters Agreement Measure: With Complete and Missing Values Cases
by Toutenburg, Helge    Adejumo, Adebowale Olusola   
(Paperback - English - 9783631543689)
Raters have become an important source of measuring errors in recent time researches in nearly all the fields of human endeavour. Kappa-like statistics have been used to great advantages in almost every area of life and social sciences. However, these Kappa-like statistics have some shortcomings. In the book, some selected loglinear models are considered for raters agreement using generalized linear models (GLMs) approaches for complete and missing ratings. We observed that modelling the structure of agreement with some selected loglinear models is more appropriate for raters agreement than any of the Kappa-like statistics. Two methods (Likelihood and Data-base ..
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Latent Variable Path Modeling with Partial Least Squares
by Lohmöller, Jan-Bernd       
(Paperback - English - 9783642525148)
Partial Least Squares (PLS) is an estimation method and an algorithm for latent variable path (LVP) models. PLS is a component technique and estimates the latent variables as weighted aggregates. The implications of this choice are considered and compared to covariance structure techniques like LISREL, COSAN and EQS. The properties of special cases of PLS (regression, factor scores, structural equations, principal components, canonical correlation, hierarchical components, correspondence analysis, three-mode path and component analysis) are examined step by step and contribute to the understanding of the general PLS technique. The proof of the convergence of the ..
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The Population-Sample Decomposition Method: A Distribution-Free Estimation Technique for Minimum Distance Parameters
by Wesselman, A. M.       
(Paperback - English - 9789401081474)
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Multivariate Dependencies: Models, Analysis and Interpretation
by Cox, D. R.    Wermuth, Nanny   
(Hardcover - English - 9780412754104)
Large observational studies involving research questions that require the measurement of several features on each individual arise in many fields including the social and medical sciences. This book sets out both the general concepts and the more technical statistical issues involved in analysis and interpretation. Numerous illustrative examples are described in outline and four studies are discussed in some detail. The use of graphical representations of dependencies and independencies among the features under study is stressed, both to incorporate available knowledge at the planning stage of an analysis and to summarize aspects important for interpretation af ..
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Structural Equation Modeling with Lisrel, Prelis, and Simplis: Basic Concepts, Applications, and Programming
by Byrne, Barbara M.       
(Paperback - English - 9781138012493)
This book illustrates the ease with which various features of LISREL 8 and PRELIS 2 can be implemented in addressing research questions that lend themselves to SEM. Its purpose is threefold: (a) to present a nonmathmatical introduction to basic concepts associated with SEM, (b) to demonstrate basic applications of SEM using both the DOS and Windows versions of LISREL 8, as well as both the LISREL and SIMPLIS lexicons, and (c) to highlight particular features of the LISREL 8 and PRELIS 2 progams that address important caveats related to SEM analyses. This book is intended neither as a text on the topic of SEM, nor as a comprehensive review of the many statistical ..
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Log-Linear Models and Logistic Regression
by Christensen, Ronald       
(Paperback - English - 9781475771138)
This book will serve as a reference and a graduate textbook in the area of categorical data analysis. It includes data sets from engineering, education, sociology, and medicine. Professor Christensen is the successful author of four graduate-level texts. ..
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Theory of Multivariate Statistics
by Bilodeau, Martin    Brenner, David   
(Paperback - English - 9781475773033)
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. ..
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An Empirical Assessment of Bivariate Methods for Meta-Analysis of Test Accuracy
by And Quality, Agency For Healthcare Resea    Human Services, U. S. Department of Heal   
(Paperback - English - 9781483925448)
Medical tests are used every day for guiding diagnosis, predicting the future course of disease, and guiding treatment selection. The effects of tests on clinical outcomes are indirect, through their influence on physicians' diagnostic thinking and treatment decisionmaking. Comparative studies of testing versus no testing that can answer the overarching question of test effectiveness (clinical utility) are rarely performed. Because of this, assessment of medical tests often relies only on the evaluation of test "accuracy," or test performance, typically measured by sensitivity and specificity (clinical validity of tests). Even when studies of clinical utility ar ..
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Matrix Tricks for Linear Statistical Models: Our Personal Top Twenty
by Puntanen, Simo    Styan, George P. H.    Isotalo, Jarkko
(Paperback - English - 9783642447594)
Introduction.- Easy Column Space Tricks.- Easy Projector Tricks.- Easy Correlation Tricks.- Generalized Inverses in a Nutshell.- Rank of the Partitioned Matrix and the Matrix Product.- Rank Cancellation Rule.- Sum of Orthogonal Projector.- Minimizing cov(y - Fx).- BLUE.- General Solution to AYB = C.- Invariance with Respect to the Choice of Generalized Inverse.- Block-Diagonalization and the Schur Complement.- Nonnegative Definiteness of a Partitioned Matrix.- The Matrix M.- Disjointness of Column Spaces.- Full Rank Decomposition.- Eigenvalue Decomposition.- Singular Value Decomposition.- The Cauchy-Schwarz Inequality.- Notation.- References.- Author Index.- Sub ..
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Introduction to Probability
by Roussas, George G.       
(Paperback - English - 9781493300006)
Roussas's Introduction to Probability features exceptionally clear explanations of the mathematics of probability theory and explores its diverse applications through numerous interesting and motivational examples. It provides a thorough introduction to the subject for professionals and advanced students taking their first course in probability. The content is based on the introductory chapters of Roussas's book, "An Intoduction to Probability and Statistical Inference," with additional chapters and revisions. BR Written by a well-respected author known for great exposition and readability BR Boasts many real world examples BR Pedagogy includes chapter summa ..
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Multiscale Signal Analysis and Modeling
by Shen, Xiaoping    Zayed, Ahmed I.   
(Paperback - English - 9781489996848)
Multiscale Signal Analysis and Modeling presents recent advances in multiscale analysis and modeling using wavelets and other systems. This book also presents applications in digital signal processing using sampling theory and techniques from various function spaces, filter design, feature extraction and classification, signal and image representation transmission, coding, nonparametric statistical signal processing, and statistical learning theory. ..
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Multivariate Density Estimation: Theory, Practice, and Visualization
by Scott, David W.       
(Hardcover - English - 9780471697558)
Clarifies modern data analysis through nonparametric density estimation for a complete working knowledge of the theory and methods Featuring a thoroughly revised presentation, Multivariate Density Estimation: Theory, Practice, and Visualization, Second Edition maintains an intuitive approach to the underlying methodology and supporting theory of density estimation. Including new material and updated research in each chapter, the Second Edition presents additional clarification of theoretical opportunities, new algorithms, and up-to-date coverage of the unique challenges presented in the field of data analysis. The new edition focuses on the various density e ..
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Latent Variables and Factor Analysis
by Babones, Salvatore J.       
(Hardcover - English - 9781446294604)
This four-volume Major Work contains texts which explore both the foundations of latent variables and factor analysis, and specific contemporary challenges in the field. The collection has been designed as a multi-disciplinary resource, with literature drawn from many different areas of study, such as sociology, psychology, education and political science. In the editor's introductory essay, a general approach to the meaning and use of latent variables in the social sciences is laid out, the basics of factor analysis and how it works are explained, and the logic that guided the selection of literature included in the collection is elaborated upon. The ..
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Introduction to Multivariate Analysis: Linear and Nonlinear Modeling
by Konishi, Sadanori       
(Hardcover - English - 9781466567283)
Select the Optimal Model for Interpreting Multivariate Data strong Introduction to Multivariate Analysis: Linear and Nonlinear Modeling strong shows how multivariate analysis is widely used for extracting useful information and patterns from multivariate data and for understanding the structure of random phenomena. Along with the basic concepts of various procedures in traditional multivariate analysis, the book covers nonlinear techniques for clarifying phenomena behind observed multivariate data. It primarily focuses on regression modeling, classification and discrimination, dimension reduction, and clustering. The text thoroughly explains the concepts and ..
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Interaction and Nonlinear Effects in Structural Equation Modeling
by Schumacker, Randall E.    Marcoulides, George A.   
(Paperback - English - 9780805829518)
This volume provides a comprehensive presentation of the various procedures currently available for testing interaction and nonlinear effects in structural equation modeling. By focusing on various software applications, the reader should quickly be able to incorporate one of the procedures into testing interaction or nonlinear effects in their own model. Although every attempt is made to keep mathematical details to a minimum, it is assumed that the reader has mastered the equivalent of a graduate-level multivariate statistics course which includes adequate coverage of structural equation modeling. This book will be of interest to researchers and practitioners ..
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Introduction to Probability
by Roussas, George G.       
(Hardcover - English - 9780128000410)
Introduction to Probability, Second Edition , discusses probability theory in a mathematically rigorous, yet accessible way. This one-semester basic probability textbook explains important concepts of probability while providing useful exercises and examples of real world applications for students to consider. This edition demonstrates the applicability of probability to many human activities with examples and illustrations. After introducing fundamental probability concepts, the book proceeds to topics including conditional probability and independence; numerical characteristics of a random variable; special distributions; joint probability density function of ..
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Graphical Models in Applied Multivariate Statistics
by Whittaker, Joe       
(Paperback - English - 9780470743669)
The Wiley Paperback Series makes valuable content more accessible to a new generation of statisticians, mathematicians and scientists. Graphical models--a subset of log-linear models--reveal the interrelationships between multiple variables and features of the underlying conditional independence. This introduction to the use of graphical models in the description and modeling of multivariate systems covers conditional independence, several types of independence graphs, Gaussian models, issues in model selection, regression and decomposition. Many numerical examples and exercises with solutions are included. This book is aimed at students who require a course on ..
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