Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/241894 
Year of Publication: 
2020
Series/Report no.: 
cemmap working paper No. CWP19/20
Publisher: 
Centre for Microdata Methods and Practice (cemmap), London
Abstract: 
We investigate identification of causal parameters in case-control and related studies. The odds ratio in the sample is our main estimand of interest and we articulate its relationship with causal parameters under various scenarios. It turns out that the odds ratio is generally a sharp upper bound for counterfactual relative risk under some monotonicity assumptions, without resorting to strong ig-norability, nor to the rare-disease assumption. Further, we propose semparametrically efficient, easy-to-implement, machine-learning-friendly estimators of the aggregated (log) odds ratio by exploiting an explicit form of the efficient influence function. Using our new estimators, we develop methods for causal inference and illustrate the usefulness of our methods by a real-data example.
Subjects: 
relative risk
causality
monotonicity
case-control sample
machinelearning
partial identification
semiparametric efficiency bound
JEL: 
C21
C55
C83
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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