By slightly reframing the concept of covariance adjustment in randomized
experiments, a method of exact permutation inference is derived that is
entirely free of distributional assumptions and uses the random assignment of
treatments as the "reasoned basis for inference.'' This method of exact
permutation inference may be used with many forms of covariance adjustment,
including robust regression and locally weighted smoothers. The method is
then generalized to observational studies where treatments were not randomly
assigned, so that sensitivity to hidden biases must be examined. Adjustments
using an instrumental variable are also discussed. The methods are
illustrated using data from two observational studies.
@article{1042727942,
author = {Rosenbaum, Paul R.},
title = {Covariance Adjustment in Randomized Experiments and Observational Studies},
journal = {Statist. Sci.},
volume = {17},
number = {1},
year = {2002},
pages = { 286-327},
language = {en},
url = {http://dml.mathdoc.fr/item/1042727942}
}
Rosenbaum, Paul R. Covariance Adjustment in Randomized Experiments and Observational Studies. Statist. Sci., Tome 17 (2002) no. 1, pp. 286-327. http://gdmltest.u-ga.fr/item/1042727942/