Statistical Modeling & Regression · Mixed & Multilevel Models (GLMM)

Frequentist mixed models: Introduction and foundations of correlated data

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Theoretical-Practical Reference Treatise

Overview

Topics covered

  • Introduction
  • Frequentist Mixed Models and Correlated Data Engineering
  • Limitations of the General Linear Model (GLM) in the face of Correlated Data
  • Nature of Correlated and Grouped Data
  • 2.1 Hierarchical or Nested Data (Clustered Data)
  • 2.2 Longitudinal Data and Repeated Measurements

Related concepts

Main connections

  • Variance & standard deviation
  • Maximum likelihood estimation
  • Mixed & multilevel models (GLMM)
  • Residual analysis & diagnostics
  • Linear algebra & matrices
  • Mean & expected value

Compatible notation

Mathematical sample in LaTeX

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

𝐲=𝐗𝛃+𝛆
View LaTeX source\mathbf{y} = \mathbf{X}\boldsymbol{\beta} + \boldsymbol{\varepsilon}