Statistical Modeling & Regression · Generalized Linear Models (GLM)

Generalized linear models (GLM) · Binary and binomial responses

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Advanced Statistical Inference Module

Overview

Topics covered

  • Introduction
  • Generalized Linear Models: Theory and practice for binary and binomial responses
  • Fundamentals of Generalized Linear Models (GLM)
  • Modeling binary versus binomial responses
  • 2.1 The Bernoulli case (Disaggregated Data)
  • 2.2 The Binomial Case (Aggregated Data)

Related concepts

Main connections

  • Logistic regression
  • Maximum likelihood estimation
  • Binomial distribution
  • Generalized linear models (GLM)
  • Variance & standard deviation
  • Linear algebra & matrices

Compatible notation

Mathematical sample in LaTeX

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

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