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Sharp bounds on sufficient-cause interactions under the assumption of no redundancy
1Research Center for Genes, Environment and Human Health and Institute of Epidemiology and Preventive Medicine, College of Public Health, National Taiwan University, Rm. 536, No. 17, Xuzhou Rd., Taipei, 100, Taiwan. wenchung@ntu.edu.tw.
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.
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