| cca canonical correlation analysis: Methods of Multivariate Analysis Alvin C. Rencher, 2003-04-14 Amstat News asked three review editors to rate their top five favorite books in the September 2003 issue. Methods of Multivariate 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 joint performance of such variables and to determine the effect of each variable in the presence of the others. The Second Edition of Alvin Rencher's Methods of Multivariate Analysis provides students of all statistical backgrounds with both the fundamental and more sophisticated skills necessary to master the discipline. To illustrate multivariate applications, the author provides examples and exercises based on fifty-nine real data sets from a wide variety of scientific fields. Rencher takes a methods approach to his subject, with an emphasis on how students and practitioners can employ multivariate analysis in real-life situations. The Second Edition contains revised and updated chapters from the critically acclaimed First Edition as well as brand-new chapters on: Cluster analysis Multidimensional scaling Correspondence analysis Biplots Each chapter contains exercises, with corresponding answers and hints in the appendix, providing students the opportunity to test and extend their understanding of the subject. Methods of Multivariate Analysis provides an authoritative reference for statistics students as well as for practicing scientists and clinicians. |
| cca canonical correlation analysis: The Reviewer’s Guide to Quantitative Methods in the Social Sciences Gregory R. Hancock, Ralph O. Mueller, Laura M. Stapleton, 2010-04-26 Designed for reviewers of research manuscripts and proposals in the social and behavioral sciences, and beyond, this title includes chapters that address traditional and emerging quantitative methods of data analysis. |
| cca canonical correlation analysis: Time Series Analysis: Methods and Applications Tata Subba Rao, Suhasini Subba Rao, C.R. Rao, 2012-06-26 'Handbook of Statistics' is a series of self-contained reference books. Each volume is devoted to a particular topic in statistics, with volume 30 dealing with time series. |
| cca canonical correlation analysis: An Introduction to Multivariate Statistical Analysis T. W. Anderson, 2003-07-25 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. |
| cca canonical correlation analysis: Data-Driven Fault Detection and Reasoning for Industrial Monitoring Jing Wang, Jinglin Zhou, Xiaolu Chen, 2022-01-03 This open access book assesses the potential of data-driven methods in industrial process monitoring engineering. The process modeling, fault detection, classification, isolation, and reasoning are studied in detail. These methods can be used to improve the safety and reliability of industrial processes. Fault diagnosis, including fault detection and reasoning, has attracted engineers and scientists from various fields such as control, machinery, mathematics, and automation engineering. Combining the diagnosis algorithms and application cases, this book establishes a basic framework for this topic and implements various statistical analysis methods for process monitoring. This book is intended for senior undergraduate and graduate students who are interested in fault diagnosis technology, researchers investigating automation and industrial security, professional practitioners and engineers working on engineering modeling and data processing applications. This is an open access book. |
| cca canonical correlation analysis: Multivariate Data Analysis on Matrix Manifolds Nickolay Trendafilov, Michele Gallo, 2021-09-15 This graduate-level textbook aims to give a unified presentation and solution of several commonly used techniques for multivariate data analysis (MDA). Unlike similar texts, it treats the MDA problems as optimization problems on matrix manifolds defined by the MDA model parameters, allowing them to be solved using (free) optimization software Manopt. The book includes numerous in-text examples as well as Manopt codes and software guides, which can be applied directly or used as templates for solving similar and new problems. The first two chapters provide an overview and essential background for studying MDA, giving basic information and notations. Next, it considers several sets of matrices routinely used in MDA as parameter spaces, along with their basic topological properties. A brief introduction to matrix (Riemannian) manifolds and optimization methods on them with Manopt complete the MDA prerequisite. The remaining chapters study individual MDA techniques in depth. The number of exercises complement the main text with additional information and occasionally involve open and/or challenging research questions. Suitable fields include computational statistics, data analysis, data mining and data science, as well as theoretical computer science, machine learning and optimization. It is assumed that the readers have some familiarity with MDA and some experience with matrix analysis, computing, and optimization. |
| cca canonical correlation analysis: Practical Multivariate Analysis Abdelmonem Afifi, Susanne May, Robin Donatello, Virginia A. Clark, 2019-10-16 This is the sixth edition of a popular textbook on multivariate analysis. Well-regarded for its practical and accessible approach, with excellent examples and good guidance on computing, the book is particularly popular for teaching outside statistics, i.e. in epidemiology, social science, business, etc. The sixth edition has been updated with a new chapter on data visualization, a distinction made between exploratory and confirmatory analyses and a new section on generalized estimating equations and many new updates throughout. This new edition will enable the book to continue as one of the leading textbooks in the area, particularly for non-statisticians. Key Features: Provides a comprehensive, practical and accessible introduction to multivariate analysis. Keeps mathematical details to a minimum, so particularly geared toward a non-statistical audience. Includes lots of detailed worked examples, guidance on computing, and exercises. Updated with a new chapter on data visualization. |
| cca canonical correlation analysis: Applied Multivariate Statistics for the Social Sciences Keenan A. Pituch, James P. Stevens, 2015-12-07 Now in its 6th edition, the authoritative textbook Applied Multivariate Statistics for the Social Sciences, continues to provide advanced students with a practical and conceptual understanding of statistical procedures through examples and data-sets from actual research studies. With the added expertise of co-author Keenan Pituch (University of Texas-Austin), this 6th edition retains many key features of the previous editions, including its breadth and depth of coverage, a review chapter on matrix algebra, applied coverage of MANOVA, and emphasis on statistical power. In this new edition, the authors continue to provide practical guidelines for checking the data, assessing assumptions, interpreting, and reporting the results to help students analyze data from their own research confidently and professionally. Features new to this edition include: NEW chapter on Logistic Regression (Ch. 11) that helps readers understand and use this very flexible and widely used procedure NEW chapter on Multivariate Multilevel Modeling (Ch. 14) that helps readers understand the benefits of this newer procedure and how it can be used in conventional and multilevel settings NEW Example Results Section write-ups that illustrate how results should be presented in research papers and journal articles NEW coverage of missing data (Ch. 1) to help students understand and address problems associated with incomplete data Completely re-written chapters on Exploratory Factor Analysis (Ch. 9), Hierarchical Linear Modeling (Ch. 13), and Structural Equation Modeling (Ch. 16) with increased focus on understanding models and interpreting results NEW analysis summaries, inclusion of more syntax explanations, and reduction in the number of SPSS/SAS dialogue boxes to guide students through data analysis in a more streamlined and direct approach Updated syntax to reflect newest versions of IBM SPSS (21) /SAS (9.3) A free online resources site at www.routledge.com/9780415836661 with data sets and syntax from the text, additional data sets, and instructor’s resources (including PowerPoint lecture slides for select chapters, a conversion guide for 5th edition adopters, and answers to exercises) Ideal for advanced graduate-level courses in education, psychology, and other social sciences in which multivariate statistics, advanced statistics, or quantitative techniques courses are taught, this book also appeals to practicing researchers as a valuable reference. Pre-requisites include a course on factorial ANOVA and covariance; however, a working knowledge of matrix algebra is not assumed. |
| cca canonical correlation analysis: Statistical Learning with Sparsity Trevor Hastie, Robert Tibshirani, Martin Wainwright, 2015-05-07 Discover New Methods for Dealing with High-Dimensional DataA sparse statistical model has only a small number of nonzero parameters or weights; therefore, it is much easier to estimate and interpret than a dense model. Statistical Learning with Sparsity: The Lasso and Generalizations presents methods that exploit sparsity to help recover the underl |
| cca canonical correlation analysis: Multivariate Analysis of Ecological Data Using CANOCO Jan Lepš, Petr Šmilauer, 2003-05-29 Table of contents |
| cca canonical correlation analysis: Comprehensive Chemometrics , 2009-03-09 Designed to serve as the first point of reference on the subject, Comprehensive Chemometrics presents an integrated summary of the present state of chemical and biochemical data analysis and manipulation. The work covers all major areas ranging from statistics to data acquisition, analysis, and applications. This major reference work provides broad-ranging, validated summaries of the major topics in chemometrics—with chapter introductions and advanced reviews for each area. The level of material is appropriate for graduate students as well as active researchers seeking a ready reference on obtaining and analyzing scientific data. Features the contributions of leading experts from 21 countries, under the guidance of the Editors-in-Chief and a team of specialist Section Editors: L. Buydens; D. Coomans; P. Van Espen; A. De Juan; J.H. Kalivas; B.K. Lavine; R. Leardi; R. Phan-Tan-Luu; L.A. Sarabia; and J. Trygg Examines the merits and limitations of each technique through practical examples and extensive visuals: 368 tables and more than 1,300 illustrations (750 in full color) Integrates coverage of chemical and biological methods, allowing readers to consider and test a range of techniques Consists of 2,200 pages and more than 90 review articles, making it the most comprehensive work of its kind Offers print and online purchase options, the latter of which delivers flexibility, accessibility, and usability through the search tools and other productivity-enhancing features of ScienceDirect |
| cca canonical correlation analysis: Multivariate Statistics: Wolfgang Härdle, Zdeněk Hlávka, 2007-07-27 The authors have cleverly used exercises and their solutions to explore the concepts of multivariate data analysis. Broken down into three sections, this book has been structured to allow students in economics and finance to work their way through a well formulated exploration of this core topic. The first part of this book is devoted to graphical techniques. The second deals with multivariate random variables and presents the derivation of estimators and tests for various practical situations. The final section contains a wide variety of exercises in applied multivariate data analysis. |
| cca canonical correlation analysis: Dimension Reduction Christopher J. C. Burges, 2010 We give a tutorial overview of several foundational methods for dimension reduction. We divide the methods into projective methods and methods that model the manifold on which the data lies. For projective methods, we review projection pursuit, principal component analysis (PCA), kernel PCA, probabilistic PCA, canonical correlation analysis (CCA), kernel CCA, Fisher discriminant analysis, oriented PCA, and several techniques for sufficient dimension reduction. For the manifold methods, we review multidimensional scaling (MDS), landmark MDS, Isomap, locally linear embedding, Laplacian eigenmaps, and spectral clustering. Although the review focuses on foundations, we also provide pointers to some more modern techniques. We also describe the correlation dimension as one method for estimating the intrinsic dimension, and we point out that the notion of dimension can be a scale-dependent quantity. The Nystr m method, which links several of the manifold algorithms, is also reviewed. We use a publicly available dataset to illustrate some of the methods. The goal is to provide a self-contained overview of key concepts underlying many of these algorithms, and to give pointers for further reading. |
| cca canonical correlation analysis: Data Analysis in Community and Landscape Ecology R. H. Jongman, C. J. F. Ter Braak, O. F. R. van Tongeren, 1995-03-02 Ecological data has several special properties: the presence or absence of species on a semi-quantitative abundance scale; non-linear relationships between species and environmental factors; and high inter-correlations among species and among environmental variables. The analysis of such data is important to the interpretation of relationships within plant and animal communities and with their environments. In this corrected version of Data Analysis in Community and Landscape Ecology, without using complex mathematics, the contributors demonstrate the methods that have proven most useful, with examples, exercises and case-studies. Chapters explain in an elementary way powerful data analysis techniques such as logic regression, canonical correspondence analysis, and kriging. |
| cca canonical correlation analysis: Spectral Algorithms Ravindran Kannan, Santosh Vempala, 2009 Spectral methods refer to the use of eigenvalues, eigenvectors, singular values and singular vectors. They are widely used in Engineering, Applied Mathematics and Statistics. More recently, spectral methods have found numerous applications in Computer Science to discrete as well as continuous problems. Spectral Algorithms describes modern applications of spectral methods, and novel algorithms for estimating spectral parameters. The first part of the book presents applications of spectral methods to problems from a variety of topics including combinatorial optimization, learning and clustering. The second part of the book is motivated by efficiency considerations. A feature of many modern applications is the massive amount of input data. While sophisticated algorithms for matrix computations have been developed over a century, a more recent development is algorithms based on sampling on the fly from massive matrices. Good estimates of singular values and low rank approximations of the whole matrix can be provably derived from a sample. The main emphasis in the second part of the book is to present these sampling methods with rigorous error bounds. It also presents recent extensions of spectral methods from matrices to tensors and their applications to some combinatorial optimization problems. |
| cca canonical correlation analysis: Multivariate Reduced-Rank Regression Raja Velu, Gregory C. Reinsel, 2013-04-17 In the area of multivariate analysis, there are two broad themes that have emerged over time. The analysis typically involves exploring the variations in a set of interrelated variables or investigating the simultaneous relation ships between two or more sets of variables. In either case, the themes involve explicit modeling of the relationships or dimension-reduction of the sets of variables. The multivariate regression methodology and its variants are the preferred tools for the parametric modeling and descriptive tools such as principal components or canonical correlations are the tools used for addressing the dimension-reduction issues. Both act as complementary to each other and data analysts typically want to make use of these tools for a thorough analysis of multivariate data. A technique that combines the two broad themes in a natural fashion is the method of reduced-rank regres sion. This method starts with the classical multivariate regression model framework but recognizes the possibility for the reduction in the number of parameters through a restrietion on the rank of the regression coefficient matrix. This feature is attractive because regression methods, whether they are in the context of a single response variable or in the context of several response variables, are popular statistical tools. The technique of reduced rank regression and its encompassing features are the primary focus of this book. The book develops the method of reduced-rank regression starting from the classical multivariate linear regression model. |
| cca canonical correlation analysis: Multivariate Data Integration Using R Kim-Anh Lê Cao, Zoe Marie Welham, 2021-11-08 Large biological data, which are often noisy and high-dimensional, have become increasingly prevalent in biology and medicine. There is a real need for good training in statistics, from data exploration through to analysis and interpretation. This book provides an overview of statistical and dimension reduction methods for high-throughput biological data, with a specific focus on data integration. It starts with some biological background, key concepts underlying the multivariate methods, and then covers an array of methods implemented using the mixOmics package in R. Features: Provides a broad and accessible overview of methods for multi-omics data integration Covers a wide range of multivariate methods, each designed to answer specific biological questions Includes comprehensive visualisation techniques to aid in data interpretation Includes many worked examples and case studies using real data Includes reproducible R code for each multivariate method, using the mixOmics package The book is suitable for researchers from a wide range of scientific disciplines wishing to apply these methods to obtain new and deeper insights into biological mechanisms and biomedical problems. The suite of tools introduced in this book will enable students and scientists to work at the interface between, and provide critical collaborative expertise to, biologists, bioinformaticians, statisticians and clinicians. |
| cca canonical correlation analysis: Nonlinear Canonical Correlation and Some Related Techniques Eeke van der Burg, 1988 |
| cca canonical correlation analysis: Statistics for Imaging, Optics, and Photonics Peter Bajorski, 2011-09-26 A vivid, hands-on discussion of the statistical methods in imaging, optics, and photonics applications In the field of imaging science, there is a growing need for students and practitioners to be equipped with the necessary knowledge and tools to carry out quantitative analysis of data. Providing a self-contained approach that is not too heavily statistical in nature, Statistics for Imaging, Optics, and Photonics presents necessary analytical techniques in the context of real examples from various areas within the field, including remote sensing, color science, printing, and astronomy. Bridging the gap between imaging, optics, photonics, and statistical data analysis, the author uniquely concentrates on statistical inference, providing a wide range of relevant methods. Brief introductions to key probabilistic terms are provided at the beginning of the book in order to present the notation used, followed by discussions on multivariate techniques such as: Linear regression models, vector and matrix algebra, and random vectors and matrices Multivariate statistical inference, including inferences about both mean vectors and covariance matrices Principal components analysis Canonical correlation analysis Discrimination and classification analysis for two or more populations and spatial smoothing Cluster analysis, including similarity and dissimilarity measures and hierarchical and nonhierarchical clustering methods Intuitive and geometric understanding of concepts is emphasized, and all examples are relatively simple and include background explanations. Computational results and graphs are presented using the freely available R software, and can be replicated by using a variety of software packages. Throughout the book, problem sets and solutions contain partial numerical results, allowing readers to confirm the accuracy of their approach; and a related website features additional resources including the book's datasets and figures. Statistics for Imaging, Optics, and Photonics is an excellent book for courses on multivariate statistics for imaging science, optics, and photonics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in imaging, optics, and photonics who carry out data analyses in their everyday work. |
| cca canonical correlation analysis: Multivariate Analysis of Ecological Data Michael Greenacre, Raul Primicerio, 2014-01-09 La diversidad biológica es fruto de la interacción entre numerosas especies, ya sean marinas, vegetales o animales, a la par que de los muchos factores limitantes que caracterizan el medio que habitan. El análisis multivariante utiliza las relaciones entre diferentes variables para ordenar los objetos de estudio según sus propiedades colectivas y luego clasificarlos; es decir, agrupar especies o ecosistemas en distintas clases compuestas cada una por entidades con propiedades parecidas. El fin último es relacionar la variabilidad biológica observada con las correspondientes características medioambientales. Multivariate Analysis of Ecological Data explica de manera completa y estructurada cómo analizar e interpretar los datos ecológicos observados sobre múltiples variables, tanto biológicos como medioambientales. Tras una introducción general a los datos ecológicos multivariantes y la metodología estadística, se abordan en capítulos específicos, métodos como aglomeración (clustering), regresión, biplots, escalado multidimensional, análisis de correspondencias (simple y canónico) y análisis log-ratio, con atención también a sus problemas de modelado y aspectos inferenciales. El libro plantea una serie de aplicaciones a datos reales derivados de investigaciones ecológicas, además de dos casos detallados que llevan al lector a apreciar los retos de análisis, interpretación y comunicación inherentes a los estudios a gran escala y los diseños complejos. |
| cca canonical correlation analysis: Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers Stephen Boyd, Neal Parikh, Eric Chu, 2011 Surveys the theory and history of the alternating direction method of multipliers, and discusses its applications to a wide variety of statistical and machine learning problems of recent interest, including the lasso, sparse logistic regression, basis pursuit, covariance selection, support vector machines, and many others. |
| cca canonical correlation analysis: Introduction to High-Dimensional Statistics Christophe Giraud, 2021-08-25 Praise for the first edition: [This book] succeeds singularly at providing a structured introduction to this active field of research. ... it is arguably the most accessible overview yet published of the mathematical ideas and principles that one needs to master to enter the field of high-dimensional statistics. ... recommended to anyone interested in the main results of current research in high-dimensional statistics as well as anyone interested in acquiring the core mathematical skills to enter this area of research. —Journal of the American Statistical Association Introduction to High-Dimensional Statistics, Second Edition preserves the philosophy of the first edition: to be a concise guide for students and researchers discovering the area and interested in the mathematics involved. The main concepts and ideas are presented in simple settings, avoiding thereby unessential technicalities. High-dimensional statistics is a fast-evolving field, and much progress has been made on a large variety of topics, providing new insights and methods. Offering a succinct presentation of the mathematical foundations of high-dimensional statistics, this new edition: Offers revised chapters from the previous edition, with the inclusion of many additional materials on some important topics, including compress sensing, estimation with convex constraints, the slope estimator, simultaneously low-rank and row-sparse linear regression, or aggregation of a continuous set of estimators. Introduces three new chapters on iterative algorithms, clustering, and minimax lower bounds. Provides enhanced appendices, minimax lower-bounds mainly with the addition of the Davis-Kahan perturbation bound and of two simple versions of the Hanson-Wright concentration inequality. Covers cutting-edge statistical methods including model selection, sparsity and the Lasso, iterative hard thresholding, aggregation, support vector machines, and learning theory. Provides detailed exercises at the end of every chapter with collaborative solutions on a wiki site. Illustrates concepts with simple but clear practical examples. |
| cca canonical correlation analysis: Biplots in Practice Michael J. Greenacre, 2010 Este libro explica las aplicaciones específicas y las interpretaciones del biplot en muchas áreas del análisis multivariante. regresión, modelos lineales generalizados, análisis de componentes principales, análisis de correspondencias y análisis discriminante. |
| cca canonical correlation analysis: Visualization and Verbalization of Data Jorg Blasius, Michael Greenacre, 2014-04-10 Visualization and Verbalization of Data shows how correspondence analysis and related techniques enable the display of data in graphical form, which results in the verbalization of the structures in data. Renowned researchers in the field trace the history of these techniques and cover their current applications. The first part of the book explains the historical origins of correspondence analysis and associated methods. The second part concentrates on the contributions made by the school of Jean-Paul Benzécri and related movements, such as social space and geometric data analysis. Although these topics are viewed from a French perspective, the book makes them understandable to an international audience. Throughout the text, well-known experts illustrate the use of the methods in practice. Examples include the spatial visualization of multivariate data, cluster analysis in computer science, the transformation of a textual data set into numerical data, the use of quantitative and qualitative variables in multiple factor analysis, different possibilities of recoding data prior to visualization, and the application of duality diagram theory to the analysis of a contingency table. |
| cca canonical correlation analysis: Analyzing Ecological Data Alain Zuur, Elena N. Ieno, Graham M. Smith, 2007-08-29 This book provides a practical introduction to analyzing ecological data using real data sets. The first part gives a largely non-mathematical introduction to data exploration, univariate methods (including GAM and mixed modeling techniques), multivariate analysis, time series analysis, and spatial statistics. The second part provides 17 case studies. The case studies include topics ranging from terrestrial ecology to marine biology and can be used as a template for a reader’s own data analysis. Data from all case studies are available from www.highstat.com. Guidance on software is provided in the book. |
| cca canonical correlation analysis: Multivariate Analysis in Community Ecology Hugh G. Gauch, 1982-02-26 A full description of computer-based methods of analysis used to define and solve ecological problems. Multivariate techniques permit summary of complex sets of data and allow investigation of many problems which cannot be tackled experimentally because of practical restraints. |
| cca canonical correlation analysis: An Introduction to Applied Multivariate Analysis with R Brian Everitt, Torsten Hothorn, 2011-04-23 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. |
| cca canonical correlation analysis: 2021 10th International IEEE EMBS Conference on Neural Engineering (NER) IEEE Staff, 2021-05-04 Members of the Neuroscience, Engineering and Bioethics Communities are encouraged to attend this highly multidisciplinary meeting The conference will highlight emerging neurotechnologies for the restoration and enhancement of impaired sensory, motor, and cognitive functions, novel engineering tools for elucidating brain function, and discussions on the ethics of neurotechnology use and adoption by impaired and healthy individuals |
| cca canonical correlation analysis: Principal Component Analysis I.T. Jolliffe, 2013-03-09 Principal component analysis is probably the oldest and best known of the It was first introduced by Pearson (1901), techniques ofmultivariate analysis. and developed independently by Hotelling (1933). Like many multivariate methods, it was not widely used until the advent of electronic computers, but it is now weIl entrenched in virtually every statistical computer package. The central idea of principal component analysis is to reduce the dimen sionality of a data set in which there are a large number of interrelated variables, while retaining as much as possible of the variation present in the data set. This reduction is achieved by transforming to a new set of variables, the principal components, which are uncorrelated, and which are ordered so that the first few retain most of the variation present in all of the original variables. Computation of the principal components reduces to the solution of an eigenvalue-eigenvector problem for a positive-semidefinite symmetrie matrix. Thus, the definition and computation of principal components are straightforward but, as will be seen, this apparently simple technique has a wide variety of different applications, as weIl as a number of different deri vations. Any feelings that principal component analysis is a narrow subject should soon be dispelled by the present book; indeed some quite broad topics which are related to principal component analysis receive no more than a brief mention in the final two chapters. |
| cca canonical correlation analysis: Multivariate General Linear Models Richard F. Haase, 2011-11-23 This title provides an integrated introduction to multivariate multiple regression analysis (MMR) and multivariate analysis of variance (MANOVA). It defines the key steps in analyzing linear model data and introduces multivariate linear model analysis as a generalization of the univariate model. Richard F. Haase focuses on multivariate measures of association for four common multivariate test statistics, presents a flexible method for testing hypotheses on models, and emphasizes the multivariate procedures attributable to Wilks, Pillai, Hotelling, and Roy. |
| cca canonical correlation analysis: Dependence Modeling Harry Joe, Dorota Kurowicka, 2011 1. Introduction : Dependence modeling / D. Kurowicka -- 2. Multivariate copulae / M. Fischer -- 3. Vines arise / R.M. Cooke, H. Joe and K. Aas -- 4. Sampling count variables with specified Pearson correlation : A comparison between a naive and a C-vine sampling approach / V. Erhardt and C. Czado -- 5. Micro correlations and tail dependence / R.M. Cooke, C. Kousky and H. Joe -- 6. The Copula information criterion and Its implications for the maximum pseudo-likelihood estimator / S. Gronneberg -- 7. Dependence comparisons of vine copulae with four or more variables / H. Joe -- 8. Tail dependence in vine copulae / H. Joe -- 9. Counting vines / O. Morales-Napoles -- 10. Regular vines : Generation algorithm and number of equivalence classes / H. Joe, R.M. Cooke and D. Kurowicka -- 11. Optimal truncation of vines / D. Kurowicka -- 12. Bayesian inference for D-vines : Estimation and model selection / C. Czado and A. Min -- 13. Analysis of Australian electricity loads using joint Bayesian inference of D-vines with autoregressive margins / C. Czado, F. Gartner and A. Min -- 14. Non-parametric Bayesian belief nets versus vines / A. Hanea -- 15. Modeling dependence between financial returns using pair-copula constructions / K. Aas and D. Berg -- 16. Dynamic D-vine model / A. Heinen and A. Valdesogo -- 17. Summary and future directions / D. Kurowicka |
| cca canonical correlation analysis: Constrained Principal Component Analysis and Related Techniques Yoshio Takane, 2020-06-30 Constrained Principal Component Analysis and Related Techniques shows how constrained principal component analysis (CPCA) offers a unified framework for regression analysis and PCA. The book begins with four concrete examples of CPCA that provide you with a basic understanding of the technique and its applications. It gives a detailed account of projection and singular value decomposition. The author then describes the basic data requirements, models, and analytical tools for CPCA and their immediate extensions. He also introduces techniques that are special cases of or closely related to CPCA and discusses several topics relevant to practical uses of CPCA. The book concludes with a technique that imposes different constraints on different dimensions, along with its analytical extensions. Features, Presents an in-depth, unified theoretical treatment of CPCA, Contains implementation details and many real application examples, Offers material for methodologically oriented readers interested in developing statistical techniques of their own, Keeps the use of complicated iterative methods to a minimum, Gives an overview of computer software for CPCA in the appendix, Provides MATLAB® programs and data on the author's website Book jacket. |
| cca canonical correlation analysis: Computer Age Statistical Inference Bradley Efron, Trevor Hastie, 2016-07-21 The twenty-first century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science. |
| cca canonical correlation analysis: Multiple Regression in Behavioral Research Elazar J. Pedhazur, 1997 This text adopts a data-analysis approach to multiple regression. The author integrates design and analysis, and emphasises learning by example and critiquing published research. |
| cca canonical correlation analysis: Statistical Modeling and Analysis for Complex Data Problems Pierre Duchesne, Bruno Rémillard, 2005-12-05 This book reviews some of today’s more complex problems, and reflects some of the important research directions in the field. Twenty-nine authors – largely from Montreal’s GERAD Multi-University Research Center and who work in areas of theoretical statistics, applied statistics, probability theory, and stochastic processes – present survey chapters on various theoretical and applied problems of importance and interest to researchers and students across a number of academic domains. |
| cca canonical correlation analysis: The Oxford Handbook of Quantitative Methods, Vol. 2: Statistical Analysis Todd D. Little, 2013-02-01 Research today demands the application of sophisticated and powerful research tools. Fulfilling this need, The Oxford Handbook of Quantitative Methods is the complete tool box to deliver the most valid and generalizable answers to todays complex research questions. It is a one-stop source for learning and reviewing current best-practices in quantitative methods as practiced in the social, behavioral, and educational sciences. Comprising two volumes, this handbook covers a wealth of topics related to quantitative research methods. It begins with essential philosophical and ethical issues related to science and quantitative research. It then addresses core measurement topics before delving into the design of studies. Principal issues related to modern estimation and mathematical modeling are also detailed. Topics in the handbook then segway into the realm of statistical inference and modeling with chapters dedicated to classical approaches as well as modern latent variable approaches. Numerous chapters associated with longitudinal data and more specialized techniques round out this broad selection of topics. Comprehensive, authoritative, and user-friendly, this two-volume set will be an indispensable resource for serious researchers across the social, behavioral, and educational sciences. |
| cca canonical correlation analysis: Kernel Methods for Pattern Analysis John Shawe-Taylor, Nello Cristianini, 2004-06-28 Publisher Description |
| cca canonical correlation analysis: Multivariate analysis Kantilal Varichand Mardia, J.M. Bibby, J.T. Kent, 1982 |
| cca canonical correlation analysis: Canonical Correlation Analysis in Speech Enhancement Jacob Benesty, Israel Cohen, 2017-08-31 This book focuses on the application of canonical correlation analysis (CCA) to speech enhancement using the filtering approach. The authors explain how to derive different classes of time-domain and time-frequency-domain noise reduction filters, which are optimal from the CCA perspective for both single-channel and multichannel speech enhancement. Enhancement of noisy speech has been a challenging problem for many researchers over the past few decades and remains an active research area. Typically, speech enhancement algorithms operate in the short-time Fourier transform (STFT) domain, where the clean speech spectral coefficients are estimated using a multiplicative gain function. A filtering approach, which can be performed in the time domain or in the subband domain, obtains an estimate of the clean speech sample at every time instant or time-frequency bin by applying a filtering vector to the noisy speech vector. Compared to the multiplicative gain approach, the filtering approach more naturally takes into account the correlation of the speech signal in adjacent time frames. In this study, the authors pursue the filtering approach and show how to apply CCA to the speech enhancement problem. They also address the problem of adaptive beamforming from the CCA perspective, and show that the well-known Wiener and minimum variance distortionless response (MVDR) beamformers are particular cases of a general class of CCA-based adaptive beamformers. |
| cca canonical correlation analysis: 2020 Information Theory and Applications Workshop (ITA). , 2020 |
CCA: Canonical Correlation Analysis - The Comprehensive R …
The function performs Canonical Correlation Analysis to highlight correlations between two data matrices. It complete the cancor() function with supplemental numerical and graphical outputs
Canonical Correlation Analysis
Canonical Correlation Analysis (CCA) connects two sets of variables by finding linear combinations of variables that maximally correlate. Let X = (X1; : : : ; Xp)0 and Y = (Y1; : : : ; …
Canonical Correlation Analysis - The University of Texas at Dallas
Canonical correlation analysis (CCA) is a statisti-cal method whose goal is to extract the informa-tion common to two data tables that measure quantitative variables on a same set of observa …
Canonical Correlation a Tutorial - CMU School of Computer …
Canonical correlation analysis (CCA) is a way of measuring the linear relationship between two multidimensional variables. It finds two bases, one for each variable, that are optimal with …
Canonical correlation analysis - Stanford University
Canonical correlation analysis tries to find basis vectors for two sets of multidimensional vari-ables such that the linear correlations between the projections onto these basis vectors are …
Chapter 8: Canonical Correlation Analysis and Multivariate …
Canonical Correlation Analysis (CCA) • In CCA, we wish to characterize distinct statistical relationships between a set of q1 variables and another set of q2 variables. • For example, we …
13.1 Canonical correlation analysis - Stanford University
CCA is a linear dimensionality reduction procedure for paired or two-viewed data. Given two mean-centered datasets Xand Y, each with nrows, the CCA objective is
95 A Tutorial on Canonical Correlation Methods - arXiv.org
This tutorial explains the theory of canonical correlation analysis including its regularised, kernel, and sparse variants. Additionally, the deep and Bayesian CCA extensions are briefly …
II UNIT 14 CANONICAL CORRELATION ANALYSIS - eGyanKosh
Canonical correlation analysis is a multivariate statistical model used to study the interrelationships among sets of multiple dependent variables and multiple independent variables.
Canonical Correlation Analysis - Statpower
Canonical correlation analysis is the one of the oldest and best known methods for discovering and exploring dimensions that are correlated across sets, but uncorrelated within set. The …
Deep Canonical Correlation Analysis - TTIC
We introduce Deep Canonical Correlation Analysis (DCCA), a method to learn com-plex nonlinear transformations of two views of data such that the resulting representations are highly linearly …
Canonical Correlation Analysis: An Overview with Application …
Canonical correlation analysis (CCA) is a method of correlating linear relationships between two multidimensional variables. CCA can be seen as using complex labels as a way of guiding …
Canonical Correlation Analysis
4 Canonical correlation analysis Let X∈Rd,Y ∈Rmbe random vectors. In CCA we seek for linear combinations of (X 1,...,X n) and (Y 1,...,Y m) which are maximally correlated. In the sample …
Canonical Correlation Analysis - College of Liberal Arts
Canonical Correlation Analysis (CCA) connects two sets of variables by finding linear combinations of variables that maximally correlate. Let X = (X1, . . . , Xp)⊤ and Y = (Y1, . . . , …
A Probabilistic Interpretation of Canonical Correlation Analysis …
We give a probabilistic interpretation of canonical correlation (CCA) analysis as a latent variable model for two Gaussian random vectors. Our interpretation is similar to the prob-abilistic …
Analysis) CCA (Canonical Correlation
CCA (Canonical Correlation. Analysis) STATS 305C. C a n o n i ca l co r re la t i o n a n a ly s i s. For a data matrix . with , PCA and Factor Analysis c an be thought of as. models / …
Cannonical correlation analysis (CCA) - Springer
Canonical correlation analysis (CCA) is a natural generalization of PCA when the data contain two sets of variables (Hotelling, 1936). As in PCA, CCA also aims at simplifying the correlation …
Connections between Canonical Correlation Analysis, Linear …
Canonical Correlation Analysis (CCA) The flrst canonical correlation ‰1 is the maximum correlation between a vec-tor in X-space (the space spanned by the columns X1;:::Xp of X) and …
Canonical Correlation Analysis (CCA) - mz8rr.github.io
Canonical Correlation Analysis (CCA) Group your data table into two sets of variables/datasets: Find a single dimension in and single dimension in that are maximally correlated. X: n×d X Y: …
Canonical Correlation Analysis (CCA) p. 7-1 - National Tsing …
it is helpful to compute the correlation between the canonical variables and the original variables as way to determine the relative important of original variables to a particular canonical variable
CCA: Canonical Correlation Analysis - The Comprehens…
The function performs Canonical Correlation Analysis to highlight correlations between two data matrices. It complete the cancor() …
Canonical Correlation Analysis
Canonical Correlation Analysis (CCA) connects two sets of variables by finding linear combinations of variables that maximally correlate. Let X = (X1; …
Canonical Correlation Analysis - The University o…
Canonical correlation analysis (CCA) is a statisti-cal method whose goal is to extract the informa-tion common to two data tables that measure …
Canonical Correlation a Tutorial - CMU School of Co…
Canonical correlation analysis (CCA) is a way of measuring the linear relationship between two multidimensional variables. It finds …
Canonical correlation analysis - Stanford Univers…
Canonical correlation analysis tries to find basis vectors for two sets of multidimensional vari-ables such that the linear correlations between the …
