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

Nonlinear mixed models (NLMM) — Advanced theory and implementation in R

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction # Advanced R Programming

Overview

Topics covered

  • Introduction
  • Mixed Nonlinear Models
  • Introduction to Nonlinear Mixed Effects Models (NLME)
  • Complete Mathematical Formulation
  • Distribution Assumptions
  • Frequentist Estimation Theory

Related concepts

Main connections

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

Compatible notation

Mathematical sample in LaTeX

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

yij=f(xij,ϕij)+eij
View LaTeX sourcey_{ij} = f(x_{ij}, \boldsymbol{\phi}_{ij}) + e_{ij}