Advanced & Applied Topics · Item Response Theory (IRT)

Item Response Theory: Unidimensional Models for Polymetric Items

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Item Response Theory (IRT)

Overview

Topics covered

  • Introduction
  • One-Dimensional Models for Polytomic Items
  • Introduction and Fundamentals of Polytomic Items
  • Taxonomy of Polytomic Models
  • 2.1 Response Difference Models (Cumulative Odds Models)
  • 2.2 Adjacent Categories Models

Related concepts

Main connections

  • Maximum likelihood estimation
  • Bayes' theorem & priors
  • Logistic regression
  • Conditional probability & independence
  • Variance & standard deviation
  • Supervised machine learning

Compatible notation

Mathematical sample in LaTeX

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

𝒞i={0,1,…,mi}
View LaTeX source\mathcal{C}_i = \{0, 1, \dots, m_i\}