Advanced & Applied Topics · Item Response Theory (IRT)

Item response theory · Parameter estimation in dichotomous models

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Psychometric Reference Treatise

Overview

Topics covered

  • Introduction
  • Parameter Estimation in Dichotomous IRT Models
  • From TCT to TRI: The Paradigm Shift in Psychometrics
  • Dichotomous IRT Models (1PL, 2PL, 3PL and 4PL)
  • The Family of Logistics Models
  • Simplifications of the Logistics Family

Related concepts

Main connections

  • Maximum likelihood estimation
  • Conditional probability & independence
  • Calculus & differentiation
  • Bayes' theorem & priors
  • Markov chain Monte Carlo (MCMC)
  • Variance & standard deviation

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