Measurement Invariance with Categorical Items

This post is inspired by my recent work “Inequality in socioemotional skills: a cross-cohort comparison” published as a working paper here. What is Measurement Invariance? Suppose you’re an HR executive in a large firm, and you want to know: Are workers in your New York office more or less happy with their job than your employees in Mumbai? So you ask both offices to fill in a questionnaire on job satisfaction.