Directed acyclic graphs, sufficient causes, and the properties of conditioning on a common effect
Directed acyclic graphs, sufficient causes, and the properties of conditioning on a common effect
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DOI：
10.1093/aje/kwm179
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发表时间：
2007-11-01
影响因子：
5
通讯作者：
Robins, James M.
中科院分区：
文献类型：
--
作者：
VanderWeele, Tyler J.;Robins, James M.
在这篇文章中，作者将充分成分原因引入到有向无环图(DAG)因果框架中，以明确共同影响上的条件的几个性质。通过在图形上包含足够的原因，可以检测条件变量的层内的条件独立性，这些条件独立在没有表示充分原因的情况下在DAG上不明显。也有可能确定两个原因的条件协方差的符号，当以它们的共同影响为条件时，如果对共同影响的充分原因机制有一些了解。在发展援助框架内纳入充分的原因，还可以在发展援助框架上说明相互作用，并统一若干不同的因果框架。作为说明，结果被应用到一个关于两种疾病的家族共同聚集的例子。
In this paper, the authors incorporate sufficient-component causes into the directed acyclic graph (DAG) causal framework in order to make apparent several properties of conditioning on a common effect. By incorporating sufficient causes on a graph, it is possible to detect conditional independencies within strata of the conditioning variable which are not evident on DAGs without the representation of sufficient causes. It is also possible to determine the sign of the conditional covariance of two causes when conditioning on their common effect if some knowledge of the sufficient-cause mechanisms for the common effect is available. The incorporation of sufficient causes within the DAG framework also allows for the representation of interactions on DAGs and for the unification of several different causal frameworks. For illustration, the results are applied to an example concerning the familial coaggregation of two disorders.