Bias attenuation results for dichotomization of a continuous confounder
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It is well-known that dichotomization can cause bias and loss of efficiency in estimation. One can easily construct examples where adjusting for a dichotomized confounder causes bias in causal estimation. There are additional examples in the literature where adjusting for a dichotomized confounder can be more biased than not adjusting at all. The message is clear, do not dichotomize. What is unclear is if there are scenarios where adjusting for the dichotomized confounder always leads to lower bias than not adjusting. We propose several sets of conditions that characterize scenarios where one should always adjust for the dichotomized confounder to reduce bias. We then highlight scenarios where the decision to adjust should be made more cautiously. To our knowledge, this is the first formal presentation of conditions that give information about when one should and potentially should not adjust for a dichotomized confounder.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Causal Inference |
Vol/bind | 10 |
Udgave nummer | 1 |
Sider (fra-til) | 515-526 |
Antal sider | 12 |
ISSN | 2193-3677 |
DOI | |
Status | Udgivet - 2022 |
Bibliografisk note
Funding Information:
Funding information : The authors gratefully acknowledge the financial support from the Swedish Research Council (ref. 2019-00227 and 2019-00245).
Publisher Copyright:
© 2022 the author(s), published by De Gruyter.
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