Multivariate analysis: Multidimensional scaling and correspondence analysis

Introduction

What this guide covers

An analytical and rigorous exposition on the methods of distance projection, geometric dimensionality reduction and spectral decomposition of contingency tables.

Overview

Topics covered

• Introduction
• Multidimensional Scaling and Correspondence Analysis
• Fundamentals of Multivariate Analysis and Dimensionality Reduction
• The Curse of Dimensionality and Geometric Dissipation
• Dissimilarity Matrices: Properties and Classification
• Metric Multidimensional Scaling (PCoA)

Related concepts

Main connections

• Linear algebra & matrices
• Chi-squared tests & goodness of fit
• Residual analysis & diagnostics
• Mean & expected value
• Variance & standard deviation
• Principal component analysis (PCA)

Compatible notation

Mathematical sample in LaTeX

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