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Exploratory Multivariate Analysis by Example Using R, Second Edition

✍ Scribed by Husson, François; Lê, Sébastien; Pagès, Jérôme


Publisher
Chapman and Hall/CRC
Year
2017
Tongue
English
Leaves
263
Series
Chapman & Hall/CRC Computer Science & Data Analysis
Edition
Second edition
Category
Library

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✦ Synopsis


Full of real-world case studies and practical advice, Exploratory Multivariate Analysis by Example Using R, Second Edition focuses on four fundamental methods of multivariate exploratory data analysis that are most suitable for applications. It covers principal component analysis (PCA) when variables are quantitative, correspondence analysis (CA) and multiple correspondence analysis (MCA) when variables are categorical, and hierarchical cluster analysis.

The authors take a geometric point of view that provides a unified vision for exploring multivariate data tables. Within this framework, they present the principles, indicators, and ways of representing and visualising objects that are common to the exploratory methods. The authors show how to use categorical variables in a PCA context in which variables are quantitative, how to handle more than two categorical variables in a CA context in which there are originally two variables, and how to add quantitative variables in an MCA context in which variables are categorical. They also illustrate the methods using examples from various fields, with related R code accessible in the FactoMineR package developed by the authors.

The book has been written using minimal mathematics so as to appeal to applied statisticians, as well as researchers from various disciplines, including medical research and the social sciences. Readers can use the theory, examples, and software presented in this book in order to be fully equipped to tackle real-life multivariate data.

✦ Table of Contents


Content: Cover
Title Page
Copyright Page
Table of Contents
Preface
1: Principal Component Analysis (PCA)
1.1 Data --
Notation --
Examples
1.2 Objectives
1.2.1 Studying Individuals
1.2.2 Studying Variables
1.2.3 Relationships between the Two Studies
1.3 Studying Individuals
1.3.1 The Cloud of Individuals
1.3.2 Fitting the Cloud of Individuals
1.3.2.1 Best Plane Representation of NI
1.3.2.2 Sequence of Axes for Representing NI
1.3.2.3 How Are the Components Obtained?
1.3.2.4 Example
1.3.3 Representation of the Variables as an Aid for Interpreting the Cloud of Individuals 1.4 Studying Variables1.4.1 The Cloud of Variables
1.4.2 Fitting the Cloud of Variables
1.5 Relationships between the Two Representations NI and NK
1.6 Interpreting the Data
1.6.1 Numerical Indicators
1.6.1.1 Percentage of Inertia Associated with a Component
1.6.1.2 Quality of Representation of an Individual or Variable
1.6.1.3 Detecting Outliers
1.6.1.4 Contribution of an Individual or Variable to the Construction of a Component
1.6.2 Supplementary Elements
1.6.2.1 Representing Supplementary Quantitative Variables
1.6.2.2 Representing Supplementary Categorical Variables 1.6.2.3 Representing Supplementary Individuals1.6.3 Automatic Description of the Components
1.7 Implementation with FactoMineR
1.8 Additional Results
1.8.1 Testing the Significance of the Components
1.8.2 Variables: Loadings versus Correlations
1.8.3 Simultaneous Representation: Biplots
1.8.4 Missing Values
1.8.5 Large Datasets
1.8.6 Varimax Rotation
1.9 Example: The Decathlon Dataset
1.9.1 Data Description --
Issues
1.9.2 Analysis Parameters
1.9.2.1 Choice of Active Elements
1.9.2.2 Should the Variables Be Standardised?
1.9.3 Implementation of the Analysis 1.9.3.1 Choosing the Number of Dimensions to Examine1.9.3.2 Studying the Cloud of Individuals
1.9.3.3 Studying the Cloud of Variables
1.9.3.4 Joint Analysis of the Cloud of Individuals and the Cloud of Variables
1.9.3.5 Comments on the Data
1.10 Example: The Temperature Dataset
1.10.1 Data Description --
Issues
1.10.2 Analysis Parameters
1.10.2.1 Choice of Active Elements
1.10.2.2 Should the Variables Be Standardised?
1.10.3 Implementation of the Analysis
1.11 Example of Genomic Data: The Chicken Dataset
1.11.1 Data Description --
Issues
1.11.2 Analysis Parameters 1.11.3 Implementation of the Analysis2: Correspondence Analysis (CA)
2.1 Data --
Notation --
Examples
2.2 Objectives and the Independence Model
2.2.1 Objectives
2.2.2 Independence Model and X2 Test
2.2.3 The Independence Model and CA
2.3 Fitting the Clouds
2.3.1 Clouds of Row Profiles
2.3.2 Clouds of Column Profiles
2.3.3 Fitting Clouds NI and NJ
2.3.4 Example: Women's Attitudes to Women's Work in France in 1970
2.3.4.1 Column Representation (Mother's Activity)
2.3.4.2 Row Representation (Partner's Work)
2.3.5 Superimposed Representation of Both Rows and Columns

✦ Subjects


Multivariate analysis;R (Computer program language);MATHEMATICS;Applied;MATHEMATICS;Probability & Statistics;General


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