Statistical Modeling & Regression · Categorical Data Analysis

Categorical Data Analysis — Binary Logistic Regression

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Chart from the original guide Introduction Generalized Linear Models

Overview

Topics covered

  • Introduction
  • Binary Logistic Regression
  • Introduction and Context of Categorical Data
  • The Inadequacy of the Linear Probability Model (MLP)
  • Emergence of Qualitative Response Models
  • Formal Statistical Notation

Related concepts

Main connections

  • Logistic regression
  • Maximum likelihood estimation
  • Linear algebra & matrices
  • Diagnostic test evaluation & ROC
  • Variance & standard deviation
  • Residual analysis & diagnostics

Compatible notation

Mathematical sample in LaTeX

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

E[Yi|Xi]=1⋅P(Yi=1|Xi)+0⋅P(Yi=0|Xi)=P(Yi=1|Xi)
View LaTeX sourceE[Y_i | X_i] = 1 \cdot P(Y_i = 1 | X_i) + 0 \cdot P(Y_i = 0 | X_i) = P(Y_i = 1 | X_i)