Reconsidering the Income-Illness Relationship Using Distributional Regression: An Application to Germany

Abstract

In this paper we reconsider the relationship between income on health, taking a distributional perspective rather than one centered on conditional expectation. Using Structured Additive Distributional Regression, we find that the association between income on health is larger than generally estimated because aspects of the conditional health distribution that go beyond the expectation imply worse outcomes for those with lower incomes. Looking at German data from the Socio Economic Panel, we find that the risk of very bad health is roughly halved when doubling the net equivalent income from 15,000 Euro to 30,000 Euro, which is more than tenfold of the magnitude of change found when considering expected health measures. This paper therefore argues that when studying health outcomes, a distributional perspective that considers stochastic variation among observationally equivalent individuals is warranted.