Quantile models are widely used across the natural and social sciences to analyze heterogeneous phenomena that mean-based methods often obscure. Yet their adoption in political science remains limited, in part because accessible, discipline-specific introductions and applications are scarce. This Element addresses the gap by offering an applied introduction to quantile models and showing how they can be incorporated into the empirical toolkit of political scientists. Combining methodological innovation with practical guidance, this Element introduces quantile models for both continuous and discrete response variables, which are illustrated with real-world political examples concerning, among others, governments, parties, voters, and legislative choices. It is intended for both students and researchers who wish to apply quantile models to obtain a richer understanding of political phenomena. This title is also available as Open Access on Cambridge Core.