Item response theory: Model fit and diagnostics — Advanced psychometrics

Introduction

What this guide covers

Deep stochastic modeling, limited information inference, Rasch conditional residuals, pattern likelihood, and differential item functioning theory.

Overview

Topics covered

• Introduction
• Model Adjustment and Diagnosis in Item Response Theory (IRT)
• Foundations of Fit in Item Response Theory
• Global Model Fitting and Limited Information Inference
• Limited Information Adjustment Statistics: The Statistic
• Comparative Basis Information Criteria

Related concepts

Main connections

• Maximum likelihood estimation
• Variance & standard deviation
• Calculus & differentiation
• Conditional probability & independence
• Linear algebra & matrices
• Residual analysis & diagnostics

Compatible notation

Mathematical sample in LaTeX

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