Affinely invariant matching methods with discriminant mixtures of proportional ellipsoidally symmetric distributions

Details Affinely invariant matching methods with discriminant mixtures of proportional ellipsoidally symmetric distributions Affinely invariant matching methods with discriminant mixtures of proportional ellipsoidally symmetric distributions

2006-11-09

arxiv.org/abs/math/0611263v1

Annals of Statistics 2006, Vol. 34, No. 4, 1814-1826

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/009053606000000407 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053606000000407

In observational studies designed to estimate the effects of interventions or exposures, such as cigarette smoking, it is desirable to try to control background differences between the treated group (e.g., current smokers) and the control group (e.g., never smokers) on covariates $X$ (e.g., age, education). Matched sampling attempts to effect this control by selecting subsets of the treated and control groups with similar distributions of such covariates. This paper examines the consequences of matching using affinely invariant methods when the covariate distributions are ``discriminant mixtures of proportional ellipsoidally symmetric'' (DMPES) distributions, a class herein defined, which generalizes the ellipsoidal symmetry class of Rubin and Thomas [Ann. Statist. 20 (1992) 1079--1093]. The resulting generalized results help indicate why earlier results hold quite well even when the simple assumption of ellipsoidal symmetry is not met [e.g., Biometrics 52 (1996) 249--264]. Extensions to conditionally affinely invariant matching with conditionally DMPES distributions are also discussed.

Affiliated with

Also associated with

No associations

Rating

Affinely invariant matching methods with discriminant mixtures of proportional ellipsoidally symmetric distributions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Affinely invariant matching methods with discriminant mixtures of proportional ellipsoidally symmetric distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affinely invariant matching methods with discriminant mixtures of proportional ellipsoidally symmetric distributions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-407825