Hospital quality risk standardization via approximate balancing weights
Luke J. Keele, Eli Ben-Michael, Avi Feller, Rachel Kelz, Luke Miratrix
The Annals of Applied Statistics · 2023 · Volume 17 · Issue 2
Abstract
Comparing outcomes across hospitals, often to identify underperforming hospitals, is a critical task in health services research. However, naive comparisons of average outcomes, such as surgery complication rates, can be misleading because hospital case mixes differ—a hospital’s overall complication rate may be lower simply because the hospital serves a healthier population overall. In this paper we develop a method of “direct standardization” where we reweight each hospital patient population to be representative of the overall population and then compare the weighted averages across hospitals. Adapting methods from survey sampling and causal inference, we find weights that directly control for imbalance between the hospital patient mix and the target population, even across many patient attributes. Critically, these balancing weights can also be tuned to preserve sample size for more precise estimates. We also derive principled measures of statistical uncertainty and use outcome modeling and Bayesian shrinkage to increase precision and account for variation in hospital size. We demonstrate these methods using claims data from Pennsylvania, Florida, and New York, estimating standardized hospital complication rates for general surgery patients. We conclude with a discussion of how to detect low performing hospitals.
Keywords
direct standardization, risk adjustment, weighting
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