Statistical Modeling & Regression · Categorical Data Analysis

Categorical Data Analysis: Two-Dimensional Contingency Tables

Public introduction · full guide in Eikos

Introduction

What this guide covers

A rigorous treatise on probabilistic modeling, asymptotic and exact measures of association, nonparametric inference frameworks, and the mathematical transition to log-linear models.

Overview

Topics covered

  • Introduction
  • 1. Introduction and Fundamentals of Categorical Data
  • 1.1 Nature of Categorical Variables
  • 1.2 Formal Structure of a Contingency Table
  • 2. Probabilistic Models for Contingency Tables
  • 2.1 Poisson Sampling Model

Related concepts

Main connections

  • Conditional probability & independence
  • Variance & standard deviation
  • Maximum likelihood estimation
  • Epidemiological measures & risk ratios
  • Residual analysis & diagnostics
  • Logistic regression

Compatible notation

Mathematical sample in LaTeX

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

nij=∑k=1n𝕀(xk=i,yk=j)
View LaTeX sourcen_{ij} = \sum_{k=1}^n \mathbb{I}(x_k = i, y_k = j)