Properties of Monotonic Effects
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Abstract:
Various relationships are shown hold between monotonic effects and weak monotonic effects and the monotonicity of certain conditional expectations. This relationship is considered for both binary and non-binary variables. Counterexamples are provide to show that the results do not hold under less restrictive conditions. The ideas of monotonic effects are furthermore used to relate signed edges on a directed acyclic graph to qualitative effect modification.
Subject Area:
Statistical Theory and Methods
Suggested Citation:
Tyler J. VanderWeele and James M. Robins, "Properties of Monotonic Effects" (November 2006). COBRA Preprint Series. Article 15.
http://biostats.bepress.com/cobra/ps/art15