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American Journal of Epidemiology Advance Access published online on September 17, 2007

American Journal of Epidemiology, doi:10.1093/aje/kwm231
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American Journal of Epidemiology © The Author 2007. Published by the Johns Hopkins Bloomberg School of Public Health. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org.

Invited Commentary: Effect Modification by Time-varying Covariates

James M. Robins1,2, Miguel A. Hernán1 and Andrea Rotnitzky2,3

1 Department of Epidemiology, Harvard School of Public Health, Boston, MA
2 Department of Biostatistics, Harvard School of Public Health, Boston, MA
3 Department of Economics, Universidad Di Tella, Buenos Aires, Argentina

Correspondence to Dr. Miguel A. Hernán, Department of Epidemiology, Harvard School of Public Health, 677 Huntington Avenue, Boston, MA 02115 (e-mail: miguel_hernan{at}post.harvard.edu).

Received for publication November 21, 2006. Accepted for publication March 9, 2007.

Marginal structural models (MSMs) allow estimation of effect modification by baseline covariates, but they are less useful for estimating effect modification by evolving time-varying covariates. Rather, structural nested models (SNMs) were specifically designed to estimate effect modification by time-varying covariates. In their paper, Petersen et al. (Am J Epidemiol 2007;000:000–00) describe history-adjusted MSMs as a generalized form of MSM and argue that history-adjusted MSMs allow a researcher to easily estimate effect modification by time-varying covariates. However, history-adjusted MSMs can result in logically incompatible parameter estimates and hence in contradictory substantive conclusions. Here the authors propose a more restrictive definition of history-adjusted MSMs than the one provided by Petersen et al. and compare the advantages and disadvantages of using history-adjusted MSMs, as opposed to SNMs, to examine effect modification by time-dependent covariates.

causality; confounding factors (epidemiology); longitudinal studies; nested model; observational data; structural model; time-dependent covariate

Abbreviations: MSM, marginal structural model; SNM, structural nested model


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