Advanced & Applied Topics · Item Response Theory (IRT)

Item response theory: Information function and reliability

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Item Response Theory · Reference Document

Overview

Topics covered

  • Introduction
  • Information and Reliability Function in IRT
  • From Classical Test Theory (TCT) to Item Response Theory (IRT)
  • 1.1 Intrinsic limitations of TCT
  • 1.2 The paradigmatic alternative: TRI
  • Fundamental assumptions of IRT and their verification

Related concepts

Main connections

  • Variance & standard deviation
  • Maximum likelihood estimation
  • Calculus & differentiation
  • Mean & expected value
  • Conditional probability & independence
  • Bayes' theorem & priors

Compatible notation

Mathematical sample in LaTeX

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

X=T+E
View LaTeX sourceX = T + E