Eikosstatistics & data science

Advanced & Applied Topics · Item Response Theory (IRT)

Item response theory · Differential item functioning (DIF)

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Item Response Theory · Equity

Overview

Topics covered

  • Introduction
  • Differential Item Functioning (DIF)
  • Conceptual Foundations of DIF
  • 1.1 The fundamental distinction between "DIF" and "Impact"
  • Formalization in Item Response Theory
  • 2.1 The Three-Parameter Logistics Model (3PL)

Related concepts

Main connections

  • Logistic regression
  • Maximum likelihood estimation
  • Hypothesis testing
  • Linear algebra & matrices
  • Variance & standard deviation
  • Mathematical expectation & moments

Compatible notation

Mathematical sample in LaTeX

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

P(Yi=1∣θ,G=R)≠P(Yi=1∣θ,G=F)
View LaTeX sourceP(Y_i = 1 \mid \theta, G = R) \neq P(Y_i = 1 \mid \theta, G = F)