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Stable Discovery of Interpretable Subgroups via Calibration in Causal Studies
Authors:Raaz Dwivedi  Yan Shuo Tan  Briton Park  Mian Wei  Kevin Horgan  David Madigan  Bin Yu
Institution:1. Department of EECS, University of California, Berkeley, Berkeley, CA, USA;2. Department of Statistics, University of California, Berkeley, Berkeley, CA, USA;3. Protypia Inc, 111 10th Avenue South, Suite 102, Nashville, TN, 37023 USA;4. Khoury College of Computer Sciences, Northeastern University, Boston, MA, USA;5. Department of EECS, University of California, Berkeley, Berkeley, CA, USA

Department of Statistics, University of California, Berkeley, Berkeley, CA, USA

Division of Biostatistics, University of California, Berkeley, Berkeley, CA, USA

Center for Computational Biology, University of California, Berkeley, Berkeley, CA, USA

Chan Zuckerberg Biohub, San Francisco, CA, USA

Abstract:Building on Yu and Kumbier's predictability, computability and stability (PCS) framework and for randomised experiments, we introduce a novel methodology for Stable Discovery of Interpretable Subgroups via Calibration (StaDISC), with large heterogeneous treatment effects. StaDISC was developed during our re-analysis of the 1999–2000 VIGOR study, an 8076-patient randomised controlled trial that compared the risk of adverse events from a then newly approved drug, rofecoxib (Vioxx), with that from an older drug naproxen. Vioxx was found to, on average and in comparison with naproxen, reduce the risk of gastrointestinal events but increase the risk of thrombotic cardiovascular events. Applying StaDISC, we fit 18 popular conditional average treatment effect (CATE) estimators for both outcomes and use calibration to demonstrate their poor global performance. However, they are locally well-calibrated and stable, enabling the identification of patient groups with larger than (estimated) average treatment effects. In fact, StaDISC discovers three clinically interpretable subgroups each for the gastrointestinal outcome (totalling 29.4% of the study size) and the thrombotic cardiovascular outcome (totalling 11.0%). Complementary analyses of the found subgroups using the 2001–2004 APPROVe study, a separate independently conducted randomised controlled trial with 2587 patients, provide further supporting evidence for the promise of StaDISC.
Keywords:Causal inference  randomised experiments  subgroup discovery  CATE modelling  calibration  stability  PCS framework  VIGOR study
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