Sharp bounds on sufficient-cause interactions under the assumption of no redundancy

Abstract Background Sufficient-cause interaction is a type of interaction that has received much attention recently. The sufficient component cause model on which the sufficient-cause interaction is based is however a non-identifiable model. Estimating the interaction parameters from the model is ma...

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Bibliographic Details
Main Author: Wen-Chung Lee
Format: Article
Language:English
Published: BMC 2017-04-01
Series:BMC Medical Research Methodology
Subjects:
Online Access:http://link.springer.com/article/10.1186/s12874-017-0348-y
Description
Summary:Abstract Background Sufficient-cause interaction is a type of interaction that has received much attention recently. The sufficient component cause model on which the sufficient-cause interaction is based is however a non-identifiable model. Estimating the interaction parameters from the model is mathematically impossible. Methods In this paper, I derive bounding formulae for sufficient-cause interactions under the assumption of no redundancy. Results Two real data sets are used to demonstrate the method (R codes provided). The proposed bounds are sharp and sharper than previous bounds. Conclusions Sufficient-cause interactions can be quantified by setting bounds on them.
ISSN:1471-2288