Advanced & Applied Topics · Structural Equation Modeling (SEM)

Structural equation modeling (SEM) — Advanced topics

Public introduction · full guide in Eikos

Introduction

What this guide covers

Advanced Theoretical Developments, Estimation of Nonlinear Structures, Longitudinal Covariance Analysis and Multigroup Bayesian Approaches.

Overview

Topics covered

  • Introduction
  • Structural Equation Models
  • Theoretical Foundations and Covariance Algebra
  • The Fundamental Hypothesis of SEM
  • Algebraic Derivation of the Implicit Covariance Matrix
  • Parametric Identifiable Problem

Related concepts

Main connections

  • Linear algebra & matrices
  • Maximum likelihood estimation
  • Variance & standard deviation
  • Bayes' theorem & priors
  • Chi-squared tests & goodness of fit
  • Markov chain Monte Carlo (MCMC)

Compatible notation

Mathematical sample in LaTeX

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

𝛈=𝐁𝛈+𝚪𝛏+𝛇
View LaTeX source\boldsymbol{\eta} = \mathbf{B} \boldsymbol{\eta} + \boldsymbol{\Gamma} \boldsymbol{\xi} + \boldsymbol{\zeta}