Advanced & Applied Topics · Structural Equation Modeling (SEM)

Structural Equation Models · Confirmatory Factor Analysis

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Chart from the original guide

Overview

Topics covered

  • Introduction
  • Confirmatory Factor Analysis (CFA)
  • Historical and epistemological perspective of the AFC
  • Mathematical foundations and linear formulation of the model
  • General Matrix Formulation
  • Classical AFC Statistical Assumptions

Related concepts

Main connections

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

Compatible notation

Mathematical sample in LaTeX

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

xi=νi+λi1ξ1+λi2ξ2+…+λimξm+δi
View LaTeX sourcex_i = \nu_i + \lambda_{i1}\xi_1 + \lambda_{i2}\xi_2 + \dots + \lambda_{im}\xi_m + \delta_i