Advanced & Applied Topics · Structural Equation Modeling (SEM)

Structural Equation Models: Covariance Algebra and Path Analysis

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Advanced Technical Treatise and Reference Guide

Overview

Topics covered

  • Introduction
  • Introduction to Structural Equation Modeling (SEM)
  • 1.1 Paradigmatic differences: SEM vs. OLS and Classic Multivariate Analysis
  • Fundamentals of Covariance Algebra
  • 2.1 The Expectation Operator and the formal definition of Covariance
  • 2.2 Fundamental properties and linear combination theorems

Related concepts

Main connections

  • Linear algebra & matrices
  • Variance & standard deviation
  • Maximum likelihood estimation
  • Linear regression
  • Chi-squared tests & goodness of fit
  • Mathematical expectation & moments

Compatible notation

Mathematical sample in LaTeX

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

Cov(X,Y)=E[(X−E[X])(Y−E[Y])]
View LaTeX source\text{Cov}(X, Y) = E\left[(X - E[X])(Y - E[Y])\right]