Sharp Bounds on the Variance in Randomized Experiments

Author(s): 

Peter M. Aronow, Donald P. Green, Donald K. K. Lee

ISPS ID: 
ISSP14-037
Full citation: 
Aronow, Peter M., Donald P. Green, and Donald K. K. Lee (2014). Sharp bounds on the variance in randomized experiments. The Annals of Statistics 42(3): 850--871. doi:10.1214/13-AOS1200.
Abstract: 
We propose a consistent estimator of sharp bounds on the variance of the difference-in-means estimator in completely randomized experiments. Generalizing Robins [Stat. Med. 7 (1988) 773–785], our results resolve a well-known identification problem in causal inference posed by Neyman [Statist. Sci. 5 (1990) 465–472. Reprint of the original 1923 paper]. A practical implication of our results is that the upper bound estimator facilitates the asymptotically narrowest conservative Wald-type confidence intervals, with applications in randomized controlled and clinical trials.
Supplemental information: 

Link to article here.

Publication date: 
2014
Publication type: 
Publication name: 
Discipline: 
Area of study: