Equal percent bias reduction and variance proportionate modifying properties with mean-covariance preserving matching
Journal
Annals of the Institute of Statistical Mathematics
Date Issued
2013
Author(s)
DOI
10.1007/s10463-012-0358-9
Abstract
Mean-preserving and covariance preserving matchings are introduced that can be obtained with conditional, randomized matching on sub-populations of a large control group. Under moment conditions it is shown that these matchings are, respectively, equal percent bias reducing (EPBR) and variance proportionate modifying (PM) for linear functions of the covariates and their standardizations. The results provide additional insight into and theory for EPBR and PM properties and confirm empirical and simulation findings that matchings can have the EPBR and PM properties also when the covariates are not exchangeable, or the treatment means are not equal.