Multivariate Statistical Analysis In The Real And Complex Domains

Author : Arak M. Mathai
Publisher : Springer Nature
ISBN 13 : 3030958647
Total Pages : 939 pages
Book Rating : 4.40/5 ( download)

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Download or read book Multivariate Statistical Analysis in the Real and Complex Domains written by Arak M. Mathai and published by Springer Nature. This book was released on 2022-10-04 with total page 939 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores topics in multivariate statistical analysis, relevant in the real and complex domains. It utilizes simplified and unified notations to render the complex subject matter both accessible and enjoyable, drawing from clear exposition and numerous illustrative examples. The book features an in-depth treatment of theory with a fair balance of applied coverage, and a classroom lecture style so that the learning process feels organic. It also contains original results, with the goal of driving research conversations forward. This will be particularly useful for researchers working in machine learning, biomedical signal processing, and other fields that increasingly rely on complex random variables to model complex-valued data. It can also be used in advanced courses on multivariate analysis. Numerous exercises are included throughout.

Author : Arakaparampil M. Mathai
Publisher :
ISBN 13 : 9783030958657
Total Pages : 0 pages
Book Rating : 4.55/5 ( download)

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Download or read book Multivariate Statistical Analysis in the Real and Complex Domains written by Arakaparampil M. Mathai and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a practical resource for start-ups looking for innovating their business models in domestic and global markets. It describes the innovative business practices adopted by start-ups during the COVID-19 pandemic, with a special emphasis on value proposition innovation and business model innovation more generally. The BMI-Pandemic 2.15 model, which is an expanded version of the Odyssey 3.14 model, is presented to highlight 15 guidelines for innovating business models during pandemics. In order to promote open innovation, this book emphasizes the value of strategic alliances with academic libraries, peer start-ups, and freelancers. Additionally, using actual start-up case studies, it demonstrates how important technological innovation is for gathering feedback, prototyping, and conducting both secondary as well as primary market research. The need of regularly experimenting with new approaches, learning from mistakes, and enhancing current processes are also emphasized in this book. Theoretical insights are linked with practical experiences of start-ups amid the pandemic. With a perfect balance of empirical research and assessment study types, this book is a source of quick knowledge for entrepreneurs, academics and researchers on how to enhance a company's innovative capacities and success rates.

Author : Bruce L. Brown
Publisher : John Wiley & Sons
ISBN 13 : 1118131614
Total Pages : 404 pages
Book Rating : 4.19/5 ( download)

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Download or read book Multivariate Analysis for the Biobehavioral and Social Sciences written by Bruce L. Brown and published by John Wiley & Sons. This book was released on 2011-11-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insightful guide to understanding and visualizing multivariate statistics using SAS®, STATA®, and SPSS® Multivariate Analysis for the Biobehavioral and Social Sciences: A Graphical Approach outlines the essential multivariate methods for understanding data in the social and biobehavioral sciences. Using real-world data and the latest software applications, the book addresses the topic in a comprehensible and hands-on manner, making complex mathematical concepts accessible to readers. The authors promote the importance of clear, well-designed graphics in the scientific process, with visual representations accompanying the presented classical multivariate statistical methods . The book begins with a preparatory review of univariate statistical methods recast in matrix notation, followed by an accessible introduction to matrix algebra. Subsequent chapters explore fundamental multivariate methods and related key concepts, including: Factor analysis and related methods Multivariate graphics Canonical correlation Hotelling's T-squared Multivariate analysis of variance (MANOVA) Multiple regression and the general linear model (GLM) Each topic is introduced with a research-publication case study that demonstrates its real-world value. Next, the question "how do you do that?" is addressed with a complete, yet simplified, demonstration of the mathematics and concepts of the method. Finally, the authors show how the analysis of the data is performed using Stata®, SAS®, and SPSS®. The discussed approaches are also applicable to a wide variety of modern extensions of multivariate methods as well as modern univariate regression methods. Chapters conclude with conceptual questions about the meaning of each method; computational questions that test the reader's ability to carry out the procedures on simple datasets; and data analysis questions for the use of the discussed software packages. Multivariate Analysis for the Biobehavioral and Social Sciences is an excellent book for behavioral, health, and social science courses on multivariate statistics at the graduate level. The book also serves as a valuable reference for professionals and researchers in the social, behavioral, and health sciences who would like to learn more about multivariate analysis and its relevant applications.

Author : Andriëtte Bekker
Publisher : Springer Nature
ISBN 13 : 3031139712
Total Pages : 434 pages
Book Rating : 4.10/5 ( download)

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Download or read book Innovations in Multivariate Statistical Modeling written by Andriëtte Bekker and published by Springer Nature. This book was released on 2022-12-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate statistical analysis has undergone a rich and varied evolution during the latter half of the 20th century. Academics and practitioners have produced much literature with diverse interests and with varying multidisciplinary knowledge on different topics within the multivariate domain. Due to multivariate algebra being of sustained interest and being a continuously developing field, its appeal breaches laterally across multiple disciplines to act as a catalyst for contemporary advances, with its core inferential genesis remaining in that of statistics. It is exactly this varied evolution caused by an influx in data production, diffusion, and understanding in scientific fields that has blurred many lines between disciplines. The cross-pollination between statistics and biology, engineering, medical science, computer science, and even art, has accelerated the vast amount of questions that statistical methodology has to answer and report on. These questions are often multivariate in nature, hoping to elucidate uncertainty on more than one aspect at the same time, and it is here where statistical thinking merges mathematical design with real life interpretation for understanding this uncertainty. Statistical advances benefit from these algebraic inventions and expansions in the multivariate paradigm. This contributed volume aims to usher novel research emanating from a multivariate statistical foundation into the spotlight, with particular significance in multidisciplinary settings. The overarching spirit of this volume is to highlight current trends, stimulate a focus on, and connect multidisciplinary dots from and within multivariate statistical analysis. Guided by these thoughts, a collection of research at the forefront of multivariate statistical thinking is presented here which has been authored by globally recognized subject matter experts.

Author : Brian S. Everitt
Publisher : Wiley
ISBN 13 : 9780470711170
Total Pages : 0 pages
Book Rating : 4.75/5 ( download)

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Download or read book Applied Multivariate Data Analysis written by Brian S. Everitt and published by Wiley. This book was released on 2010-06-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate analysis plays an important role in the understanding of complex data sets requiring simultaneous examination of all variables. Breaking through the apparent disorder of the information, it provides the means for both describing and exploring data, aiming to extract the underlying patterns and structure. This intermediate-level textbook introduces the reader to the variety of methods by which multivariate statistical analysis may be undertaken. Now in its 2nd edition, 'Applied Multivariate Data Analysis' has been fully expanded and updated, including major chapter revisions as well as new sections on neural networks and random effects models for longitudinal data. Maintaining the easy-going style of the first edition, the authors provide clear explanations of each technique, as well as supporting figures and examples, and minimal technical jargon. With extensive exercises following every chapter, 'Applied Multivariate Data Analysis' is a valuable resource for students on applied statistics courses and applied researchers in many disciplines.

Author : Alvin C. Rencher
Publisher : Wiley-Interscience
ISBN 13 : 0471461725
Total Pages : 738 pages
Book Rating : 4.22/5 ( download)

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Download or read book Methods of Multivariate Analysis written by Alvin C. Rencher and published by Wiley-Interscience. This book was released on 2003-04-14 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Bryan F.J. Manly
Publisher : CRC Press
ISBN 13 : 9781584884149
Total Pages : 228 pages
Book Rating : 4.42/5 ( download)

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Download or read book Multivariate Statistical Methods written by Bryan F.J. Manly and published by CRC Press. This book was released on 2004-07-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate methods are now widely used in the quantitative sciences as well as in statistics because of the ready availability of computer packages for performing the calculations. While access to suitable computer software is essential to using multivariate methods, using the software still requires a working knowledge of these methods and how they can be used. Multivariate Statistical Methods: A Primer, Third Edition introduces these methods and provides a general overview of the techniques without overwhelming you with comprehensive details. This thoroughly revised, updated edition of a best-selling introductory text retains the author's trademark clear, concise style but includes a range of new material, new exercises, and supporting materials on the Web. New in the Third Edition: Fully updated references Additional examples and exercises from the social and environmental sciences A comparison of the various statistical software packages, including Stata, Statistica, SAS Minitab, and Genstat, particularly in terms of their ease of use by beginners In his efforts to produce a book that is as short as possible and that enables you to begin to use multivariate methods in an intelligent manner, the author has produced a succinct and handy reference. With updated information on multivariate analyses, new examples using the latest software, and updated references, this book provides a timely introduction to useful tools for statistical analysis.

Author : Narayan C. Giri
Publisher : Academic Press
ISBN 13 : 1483263339
Total Pages : 336 pages
Book Rating : 4.35/5 ( download)

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Download or read book Multivariate Statistical Inference written by Narayan C. Giri and published by Academic Press. This book was released on 2014-07-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Statistical Inference is a 10-chapter text that covers the theoretical and applied aspects of multivariate analysis, specifically the multivariate normal distribution using the invariance approach. Chapter I contains some special results regarding characteristic roots and vectors, and partitioned submatrices of real and complex matrices, as well as some special theorems on real and complex matrices useful in multivariate analysis. Chapter II deals with the theory of groups and related results that are useful for the development of invariant statistical test procedures, including the Jacobians of some specific transformations that are useful for deriving multivariate sampling distributions. Chapter III is devoted to basic notions of multivariate distributions and the principle of invariance in statistical testing of hypotheses. Chapters IV and V deal with the study of the real multivariate normal distribution through the probability density function and through a simple characterization and the maximum likelihood estimators of the parameters of the multivariate normal distribution and their optimum properties. Chapter VI tackles a systematic derivation of basic multivariate sampling distributions for the real case, while Chapter VII explores the tests and confidence regions of mean vectors of multivariate normal populations with known and unknown covariance matrices and their optimum properties. Chapter VIII is devoted to a systematic derivation of tests concerning covariance matrices and mean vectors of multivariate normal populations and to the study of their optimum properties. Chapters IX and X look into a treatment of discriminant analysis and the different covariance models and their analysis for the multivariate normal distribution. These chapters also deal with the principal components, factor models, canonical correlations, and time series. This book will prove useful to statisticians, mathematicians, and advance mathematics students.

Author : Wolfgang Karl Härdle
Publisher : Springer Science & Business Media
ISBN 13 : 3662058022
Total Pages : 480 pages
Book Rating : 4.22/5 ( download)

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Download or read book Applied Multivariate Statistical Analysis written by Wolfgang Karl Härdle and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A state of the art presentation of the tools and concepts of multivariate data analysis with a strong focus on applications. The first part is devoted to graphical techniques describing the distributions of the involved variables. The second part deals with multivariate random variables and presents distributions, estimators and tests for various practical situations. The last part covers mulivariate techniques and introduces the reader into the wide variety of tools for multivariate data analysis. The text presents a wide range of examples and 228 exercises.

Author : Donald F. Morrison
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.79/5 ( download)

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Download or read book Multivariate Statistical Methods written by Donald F. Morrison and published by McGraw-Hill Companies. This book was released on 1976 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes index, bibliography, appendix: tables and charts