Eikosstatistics & data science

Statistical Modeling & Regression · Categorical Data Analysis

Categorical data analysis: Regression models for multicategory responses

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Advanced multivariate analysis

Overview

Topics covered

  • Introduction
  • Regression Models for Multicategory Responses
  • Multi-category categorical data: Nominal scale vs. ordinal
  • Nominal Variables
  • Ordinal Variables
  • The multinomial distribution and the framework of Generalized Linear Models

Related concepts

Main connections

  • Logistic regression
  • Maximum likelihood estimation
  • Mathematical optimization & gradients
  • Linear algebra & matrices
  • Calculus & differentiation
  • Hypothesis testing

Compatible notation

Mathematical sample in LaTeX

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

∑j=1Jπj=1,with 0≤πj≤1∀j∈{1,…,J}.
View LaTeX source\sum_{j=1}^J \pi_j = 1, \qquad \text{with } 0 \le \pi_j \le 1 \quad \forall j \in \{1,\dots,J\}.