Descriptive statistics: Descriptive introduction to multivariate analysis · Introduction

Introduction

What this guide covers

A deep and rigorous deep dive into the descriptive analysis of multidimensional data sets, establishing the pillars of data geometry and algebra.

Overview

Topics covered

Introduction
Descriptive Introduction to Multivariate Analysis
Introduction to Multivariate Analysis and Algebraic Fundamentals
1.1 The Paradigm Shift: From Univariate to Multivariate
1.2 Linear Algebra Support for Multivariate Analysis
Trace Operator, Determinant and Range

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

\mathbf{X} = \begin{pmatrix} x_{11} & x_{12} & \cdots & x_{1p} \\ x_{21} & x_{22} & \cdots & x_{2p} \\ \vdots & \vdots & \ddots & \vdots \\ x_{n1} & x_{n2} & \cdots & x_{np} \end{pmatrix} = \begin{pmatrix} \mathbf{x}_1^T \\ \mathbf{x}_2^T \\ \vdots \\ \mathbf{x}_n^T \end{pmatrix} = \begin{pmatrix} \mathbf{X}^{(1)} & \mathbf{X}^{(2)} & \cdots & \mathbf{X}^{(p)} \end{pmatrix}

View LaTeX source

\mathbf{X} = \begin{pmatrix}
      x_{11} & x_{12} & \cdots & x_{1p} \\
      x_{21} & x_{22} & \cdots & x_{2p} \\
      \vdots & \vdots & \ddots & \vdots \\
      x_{n1} & x_{n2} & \cdots & x_{np}
    \end{pmatrix} = \begin{pmatrix} \mathbf{x}_1^T \\ \mathbf{x}_2^T \\ \vdots \\ \mathbf{x}_n^T \end{pmatrix} = \begin{pmatrix} \mathbf{X}^{(1)} & \mathbf{X}^{(2)} & \cdots & \mathbf{X}^{(p)} \end{pmatrix}