Statistical Modeling & Regression · Categorical Data Analysis

Categorical Data Analysis: Regression Models for Count Data

Public introduction · full guide in Eikos

Introduction

What this guide covers

A rigorous monograph on the mathematical formulation, parameter estimation, diagnosis and advanced modeling of non-negative integer dependent variables.

Overview

Topics covered

  • Introduction
  • Fundamentals of Counting Data and Poisson Distribution
  • Exposure and Compensation Variables (Offsets)
  • The Poisson Regression Model
  • Log-Linear Formulation
  • Maximum Likelihood (ML) Estimation and IRLS Algorithm

Related concepts

Main connections

  • Poisson distribution
  • Maximum likelihood estimation
  • Binomial distribution
  • Variance & standard deviation
  • Mathematical expectation & moments
  • Mean & expected value

Compatible notation

Mathematical sample in LaTeX

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

P(Y=y)=e−λλyy!,y∈{0,1,2,…}
View LaTeX sourceP(Y = y) = \frac{e^{-\lambda} \lambda^y}{y!}, \quad y \in \{0, 1, 2, \ldots\}