Time Series, Health & Evidence Synthesis · Biostatistics & Clinical Trials

Computational Biostatistics: GLMs and Mixed Models in Medicine

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction ADVANCED COMPUTATIONAL BIOSATISTICS

Overview

Topics covered

  • Introduction
  • GLM and Mixed Models in Medical Research
  • Modeling and Inference Structures
  • The Exponential Family of Distributions
  • Link Functions and their Mathematical Role
  • Generalized Linear Models (GLM)

Related concepts

Main connections

  • Maximum likelihood estimation
  • Variance & standard deviation
  • Mixed & multilevel models (GLMM)
  • Binomial distribution
  • Poisson distribution
  • Residual analysis & diagnostics

Compatible notation

Mathematical sample in LaTeX

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

fY(y;θ,ϕ)=exp(yθ−b(θ)a(ϕ)+c(y,ϕ))
View LaTeX sourcef_Y(y; \theta, \phi) = \exp \left( \frac{y\theta - b(\theta)}{a(\phi)} + c(y, \phi) \right)