Commentary: Bias Attenuation and Identi fi cation of Causal Effects With Multiple Negative Controls
Commentary: Bias Attenuation and Identi fi cation of Causal Effects With Multiple Negative Controls
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发表时间:
2017
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通讯作者:
Wang Miao;E. T. Tchetgen
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作者:
Wang Miao;E. T. Tchetgen
In this commentary, we describe several extensions to the interesting and important negative control exposure approach for partial confounding adjustment in time-series analysis proposed by Flanders et al. ( Am J Epidemiol . 2017;185(10):941 – 949). Speci fi cally, by leveraging the availability of exposure time series, we show that under certain additional fairly reasonable assumptions, one can incorporate both past and future exposures as multiple negative control exposures to further attenuate confounding bias. We further describe 2 speci fi c settings in which multiple controls can be used to fully account for confounding bias; the fi rst assumes a forward-in-time version of the familiar autoregressive model for the exposure time series, while the second combines a negative control exposure with a negative control outcome for joint indirect adjustment of confounding. We brie fl y illustrate how one might apply our proposed framework in time-series studies. Both the original method of Flanders et al. and our proposed extensions are particularly well-suited for time-series data such as the air pollution study considered in their paper, and as such should be considered in routine environmental health studies.