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Discussion of “A formal causal interpretation of the case‐crossover design” by Zach Shahn, Miguel A. Hernan, and James M. Robins

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  • Ruth M. Pfeiffer
  • Mitchell H. Gail

Abstract

Shahn, Hernan, and Robins give conditions under which estimates from a case‐crossover analysis converge to the desired causal relative risk times a bias factor, and they discuss conditions needed to have small bias. To simplify the problem, we discuss only two exposure times and rely on randomized exposure assignments, thereby avoiding the need for potential outcome notation. We identify many, but not all, of the conditions discussed by Shahn et al. in this simple analysis.

Suggested Citation

  • Ruth M. Pfeiffer & Mitchell H. Gail, 2023. "Discussion of “A formal causal interpretation of the case‐crossover design” by Zach Shahn, Miguel A. Hernan, and James M. Robins," Biometrics, The International Biometric Society, vol. 79(2), pages 1346-1348, June.
    • Handle: RePEc:bla:biomet:v:79:y:2023:i:2:p:1346-1348
    DOI: 10.1111/biom.13747
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    1. Francesca Dominici & Lianne Sheppard & Merlise Clyde, 2003. "Health Effects of Air Pollution: A Statistical Review," International Statistical Review, International Statistical Institute, vol. 71(2), pages 243-276, August.
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