Item response theory: Measurement fundamentals and limitations of classical test theory

Introduction

What this guide covers

Introduction // Treatise on Psychometric and Statistical Methodology

Overview

Topics covered

• Introduction
• Fundamentals of Measurement and Item Response Theory
• Fundamentals of Psychometric Measurement and Epistemology
• Spearman's Linear Model ( ) and its Axioms
• Axiom 1: Definition of True Score
• Axiom 2: Null Correlation between True Scores and Errors

Related concepts

Main connections

• Maximum likelihood estimation
• Calculus & differentiation
• Variance & standard deviation
• Bayes' theorem & priors
• Conditional probability & independence
• Mathematical optimization & gradients

Compatible notation

Mathematical sample in LaTeX

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