The Concept Of Correlation


The Concept Of Correlation
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Robust Correlation


Robust Correlation
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Author : Georgy L. Shevlyakov
language : en
Publisher: John Wiley & Sons
Release Date : 2016-09-19

Robust Correlation written by Georgy L. Shevlyakov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-19 with Mathematics categories.


This bookpresents material on both the analysis of the classical concepts of correlation and on the development of their robust versions, as well as discussing the related concepts of correlation matrices, partial correlation, canonical correlation, rank correlations, with the corresponding robust and non-robust estimation procedures. Every chapter contains a set of examples with simulated and real-life data. Key features: Makes modern and robust correlation methods readily available and understandable to practitioners, specialists, and consultants working in various fields. Focuses on implementation of methodology and application of robust correlation with R. Introduces the main approaches in robust statistics, such as Huber’s minimax approach and Hampel’s approach based on influence functions. Explores various robust estimates of the correlation coefficient including the minimax variance and bias estimates as well as the most B- and V-robust estimates. Contains applications of robust correlation methods to exploratory data analysis, multivariate statistics, statistics of time series, and to real-life data. Includes an accompanying website featuring computer code and datasets Features exercises and examples throughout the text using both small and large data sets. Theoretical and applied statisticians, specialists in multivariate statistics, robust statistics, robust time series analysis, data analysis and signal processing will benefit from this book. Practitioners who use correlation based methods in their work as well as postgraduate students in statistics will also find this book useful.



Correlation And Dependence


Correlation And Dependence
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Author : Mari Dominique Drouet Kotz Samuel
language : en
Publisher: World Scientific
Release Date : 2001

Correlation And Dependence written by Mari Dominique Drouet Kotz Samuel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


The concept of dependence permeates the Earth and its inhabitants in a most profound manner. Examples of interdependent meteorological phenomena in nature and interdependence in the medical, social, and political aspects of our existence, not to mention the economic structures, are too numerous to be cited individually. Moreover, the dependence is obviously not deterministic but of a stochastic nature. However, it seems that none of the departments of statistics, engineering, economics and mathematics in the academic institutions throughout the world offer courses dealing with dependence concepts and measures . This book can thus be viewed as an attempt to remedy the situation, and it has been written for a graduate course or a seminar on correlation and dependence concepts and measures . A modest background in mathematical statistics and probability and integral calculus is required. The book is not a full-scale expedition up another statistical Alp. Rather, it is a tour over a somewhat neglected but important terrain. The chapter on correlation is written for a layman. Contents: Notations and Definitions; Correlation and Dependence: An Introspection; Concepts of Dependence and Stochastic Ordering; Copulas; FarlieOCoGumbelOCoMorgenstern Models of Dependence; Global Versus Local Dependence between Random Variables. Readership: Researchers and practitioners in the field of applied probability, statistics, biostatistics, industrial engineering and reliability."



Correlation Theory Of Stationary And Related Random Functions


Correlation Theory Of Stationary And Related Random Functions
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Author : A.M. Yaglom
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Correlation Theory Of Stationary And Related Random Functions written by A.M. Yaglom and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Correlation Theory of Stationary and Related Random Functions is an elementary introduction to the most important part of the theory dealing only with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so important in many areas of engineering and other applications. This book presents the theory in such a way that it can be understood by readers without specialized mathematical backgrounds, requiring only the knowledge of elementary calculus. The first volume in this two-volume exposition contains the main theory; the supplementary notes and references of the second volume consist of detailed discussions of more specialized questions, some more additional material (which assumes a more thorough mathematical background than the rest of the book) and numerous references to the extensive literature.



The Concept Of Correlation


The Concept Of Correlation
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Author : John P. Clayton
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22

The Concept Of Correlation written by John P. Clayton and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Religion categories.




Correlation Coefficient Of Interval Neutrosophic Set


Correlation Coefficient Of Interval Neutrosophic Set
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Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :

Correlation Coefficient Of Interval Neutrosophic Set written by Said Broumi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this paper we introduce for the first time the concept of correlation coefficients of interval valued neutrosophic set (INS for short). Respective numerical examples are presented.



Core Concepts In Data Analysis Summarization Correlation And Visualization


Core Concepts In Data Analysis Summarization Correlation And Visualization
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Author : Boris Mirkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-05

Core Concepts In Data Analysis Summarization Correlation And Visualization written by Boris Mirkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-05 with Computers categories.


Core Concepts in Data Analysis: Summarization, Correlation and Visualization provides in-depth descriptions of those data analysis approaches that either summarize data (principal component analysis and clustering, including hierarchical and network clustering) or correlate different aspects of data (decision trees, linear rules, neuron networks, and Bayes rule). Boris Mirkin takes an unconventional approach and introduces the concept of multivariate data summarization as a counterpart to conventional machine learning prediction schemes, utilizing techniques from statistics, data analysis, data mining, machine learning, computational intelligence, and information retrieval. Innovations following from his in-depth analysis of the models underlying summarization techniques are introduced, and applied to challenging issues such as the number of clusters, mixed scale data standardization, interpretation of the solutions, as well as relations between seemingly unrelated concepts: goodness-of-fit functions for classification trees and data standardization, spectral clustering and additive clustering, correlation and visualization of contingency data. The mathematical detail is encapsulated in the so-called “formulation” parts, whereas most material is delivered through “presentation” parts that explain the methods by applying them to small real-world data sets; concise “computation” parts inform of the algorithmic and coding issues. Four layers of active learning and self-study exercises are provided: worked examples, case studies, projects and questions.



Contributions To Correlational Analysis


Contributions To Correlational Analysis
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Author : Robert J. Wherry
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Contributions To Correlational Analysis written by Robert J. Wherry and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Contributions to Correlational Analysis provides information pertinent to the fundamental aspects of correlational analysis that can be used to replace and enhance many of the parametric and nonparametric inferential statistical tests. This book discusses the basic concern of correctional analysis, which is the relationship between two sets of measure. Organized into 18 chapters, this book begins with an overview of the nature of correction analysis. This text then explains the simple linear relationships in which explains the simple linear relationships in which Y and X each consists of some single measurement per person and the relationship is assumed to be linear. Other chapters consider basic ways of expanding the process to include more or different measurements of either X or Y but with no attempt to find the best functions. This book discusses as well the topic of factor analysis. The final chapter deals with canonical correlation. This book is a valuable resource for psychologists.



Image Correlation For Shape Motion And Deformation Measurements


Image Correlation For Shape Motion And Deformation Measurements
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Author : Michael A. Sutton
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21

Image Correlation For Shape Motion And Deformation Measurements written by Michael A. Sutton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-21 with Science categories.


Image Correlation for Shape, Motion and Deformation Measurements provides a comprehensive overview of data extraction through image analysis. Readers will find and in-depth look into various single- and multi-camera models (2D-DIC and 3D-DIC), two- and three-dimensional computer vision, and volumetric digital image correlation (VDIC). Fundamentals of accurate image matching are described, along with presentations of both new methods for quantitative error estimates in correlation-based motion measurements, and the effect of out-of-plane motion on 2D measurements. Thorough appendices offer descriptions of continuum mechanics formulations, methods for local surface strain estimation and non-linear optimization, as well as terminology in statistics and probability. With equal treatment of computer vision fundamentals and techniques for practical applications, this volume is both a reference for academic and industry-based researchers and engineers, as well as a valuable companion text for appropriate vision-based educational offerings.



Statistical Methods In Practice


Statistical Methods In Practice
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Author : Richard Boddy
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-21

Statistical Methods In Practice written by Richard Boddy and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-21 with Mathematics categories.


This is a practical book on how to apply statistical methods successfully. The Authors have deliberately kept formulae to a minimum to enable the reader to concentrate on how to use the methods and to understand what the methods are for. Each method is introduced and used in a real situation from industry or research. Each chapter features situations based on the authors’ experience and looks at statistical methods for analysing data and, where appropriate, discusses the assumptions of these methods. Key features: Provides a practical hands-on manual for workplace applications. Introduces a broad range of statistical methods from confidence intervals to trend analysis. Combines realistic case studies and examples with a practical approach to statistical analysis. Features examples drawn from a wide range of industries including chemicals, petrochemicals, nuclear power, food and pharmaceuticals. Includes a supporting website, providing software to aid tutorials. Scientists and technologists of all levels who are required to design, conduct and analyse experiments will find this book to be essential reading.



Beginner S Guide To Correlation Analysis


Beginner S Guide To Correlation Analysis
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Author : Lee Baker
language : en
Publisher: Lee Baker
Release Date :

Beginner S Guide To Correlation Analysis written by Lee Baker and has been published by Lee Baker this book supported file pdf, txt, epub, kindle and other format this book has been release on with Education categories.


Your correlation results are probably wrong. Sorry, but they are. You see, there is one really important thing to know about your correlations that mean that whatever results you get you can’t be sure they are correct. This book fixes that. Correlation is a way of describing how a pair of variables change together as a result of their connection. In other words, if one of your variables changes, the other is likely to change too, and correlations measure by how much. Correlation analysis is one of the most used – and misunderstood – statistical techniques. Most correlation results are wrong, and for one very good reason. In this book we’re going to understand just why this is, and learn how to fix it. Beginner’s Guide to Correlation Analysis explains how to look at correlations with a focus on understanding the data, how to work with it, choose the right ways to analyse it, select the correct statistical tools and how to interpret the results in a way that is easy to understand. Best of all, there is no technical or statistical jargon – it is written in plain English. It is packed with visually intuitive examples and makes no assumptions about your previous experience with statistics or correlations – in short, it is perfect for beginners! Discover the world of correlation analysis. Get this book, TODAY!