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U.C. Berkeley Division of Biostatistics Working Paper Series
Ecological inference; ecological regression; ecological fallacy; double robustness; missing data; marginal structural models
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Doubly Robust Ecological Inference, Daniel B. Rubin, Mark J. Van Der Laan
Doubly Robust Ecological Inference, Daniel B. Rubin, Mark J. Van Der Laan
U.C. Berkeley Division of Biostatistics Working Paper Series
The ecological inference problem is a famous longstanding puzzle that arises in many disciplines. The usual formulation in epidemiology is that we would like to quantify an exposure-disease association by obtaining disease rates among the exposed and unexposed, but only have access to exposure rates and disease rates for several regions. The problem is generally intractable, but can be attacked under the assumptions of King's (1997) extended technique if we can correctly specify a model for a certain conditional distribution. We introduce a procedure that it is a valid approach if either this original model is correct or if we …