A general condition for avoiding effect reversal after marginalization

72 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Causal inference in statistics: An overview (2009, background): “…by statisticians a century ago (Pearson et al., 1899; Yule, 1903) analyzed by statisticians for half a century (Simpson, 1951; Blyth, 1972; Cox and Wermuth, 2003) lamented by statisticians (Good and Mittal, 1987; Bishop et al., 1975) and wrestled with by statisticians till this very day…”
Signed directed acyclic graphs for causal inference (2010, background): “The second part of the theorem is a generalization of a monotonicity result given by Cox and Wermuth (2003).”
Causality: a Statistical View (2004, methodology): “Secondly when there is dependence ofR onC givenBU , butC U B, as in Figure 4c, the form of the relation is changed by marginalizing overU , but it can be shown (Cox & Wermuth, 2003) that there is qualitative invariance in the following sense.”
Sequences of regressions and their independences (2011, background): “For instance, one gets for (5) There is a recursive relation for least-squares regression coeﬃcients; see Cochran (1938), Cox and Wermuth (2003), Ma, Xie and Geng (2006).”