title: Estimation of direct causal effects.
abstract: Many common problems in epidemiologic and clinical research involve estimating the effect of an exposure on an outcome while blocking the exposure's effect on an intermediate variable. Effects of this kind are termed direct effects. Estimation of direct effects is typically the goal of research aimed at understanding mechanistic pathways by which an exposure acts to cause or prevent disease, as well as in many other settings. Although multivariable regression is commonly used to estimate direct effects, this approach requires assumptions beyond those required for the estimation of total causal effects. In addition, when the exposure and intermediate variables interact to cause disease, multivariable regression estimates a particular type of direct effect-the effect of an exposure on an outcome when the intermediate is fixed at a specified level. Using the counterfactual framework, we distinguish this definition of a direct effect (controlled direct effect) from an alternative definition, in which the effect of the exposure on the intermediate is blocked, but the intermediate is otherwise allowed to vary as it would in the absence of exposure (natural direct effect). We illustrate the difference between controlled and natural direct effects using several examples. We present an estimation approach for natural direct effects that can be implemented using standard statistical software, and we review the assumptions underlying our approach (which are less restrictive than those proposed by previous authors).
authors.affiliation: Division of Biostatistics, University of California, School of Public Health, Berkeley, California 94720-7360, USA. mayaliv@berkeley.edu
authors.forename: Maya L
authors.initials: ML
authors.lastname: Petersen
authors.forename: Sandra E
authors.initials: SE
authors.lastname: Sinisi
authors.forename: Mark J
authors.initials: MJ
authors.lastname: van der Laan
mesh_terms: D002986:Clinical Trials as Topic; D015987:Effect Modifier, Epidemiologic; D016021:Epidemiologic Studies; D006801:Humans; D015233:Models, Statistical; D012107:Research Design; D014481:United States