Statistical Modeling & Regression · Multivariate Analysis

Multivariate analysis: Factor analysis — comprehensive treatise

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Multivariate Analysis · Latent Variable Models

Overview

Topics covered

  • Introduction
  • Factor Analysis and dimensional reduction
  • 1. Philosophical foundations and the latent variable paradigm
  • 2. The mathematical model of orthogonal factors
  • Fundamental assumptions of the classical model
  • 3. Decomposition of covariance and variance structure

Related concepts

Main connections

  • Linear algebra & matrices
  • Variance & standard deviation
  • Maximum likelihood estimation
  • Principal component analysis (PCA)
  • Chi-squared tests & goodness of fit
  • Hypothesis testing

Compatible notation

Mathematical sample in LaTeX

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

Xi−μi=λi1F1+λi2F2+…+λimFm+ei,∀i=1,2,…,p
View LaTeX sourceX_i - \mu_i = \lambda_{i1}F_1 + \lambda_{i2}F_2 + \dots + \lambda_{im}F_m + e_i, \qquad \forall i = 1, 2, \dots, p