Item response theory · Unidimensional models for dichotomous items

Introduction

What this guide covers

Introduction Introduction Mathematical Psychometrics and Advanced Statistical Inference

Overview

Topics covered

• Introduction
• Item Response Theory: One-Dimensional Models
• The conceptual transition from Classical Test Theory (TCT)
• Axioms and assumptions of one-dimensional IRT
• 1. One-Dimensional Latent Space
• 2. Assumption of Local Independence (IL)

Related concepts

Main connections

• Maximum likelihood estimation
• Calculus & differentiation
• Conditional probability & independence
• Mathematical optimization & gradients
• Variance & standard deviation
• Mean & expected value

Compatible notation

Mathematical sample in LaTeX

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