Talk to the Veterans Crisis Line now
U.S. flag
An official website of the United States government

VA Health Systems Research

Go to the VA ORD website
Go to the QUERI website

HSR&D Citation Abstract

Search | Search by Center | Search by Source | Keywords in Title

Information preserving sufficient summaries for dimension reduction.

Nelson DB, Noorbaloochi S. Information preserving sufficient summaries for dimension reduction. Journal of multivariate analysis. 2013 Mar 1; 115(March):347-358.

Related HSR&D Project(s)

Dimensions for VA is a web-based tool available to VA staff that enables detailed searches of published research and research projects.

If you have VA-Intranet access, click here for more information

VA staff not currently on the VA network can access Dimensions by registering for an account using their VA email address.
   Search Dimensions for VA for this citation
* Don't have VA-internal network access or a VA email address? Try searching the free-to-the-public version of Dimensions


We discuss a type of confounder dimension reduction summary which retains all of the information in the covariates about both an outcome variable and an intervention or grouping variable. These sufficient dimension reduction summaries share much with sufficient statistics for parameters indexing a family of probability distributions and are directly related to the dimension reduction summaries considered in regression theory and propensity theory. These sufficient dimension reduction summaries yield conditional independence, or balance, of the covariates and intervention given the value of the summary. Further, in contrast to other widely used dimension reduction summaries, the regression function for the outcome given the intervention and the sufficient summary is the same as that given the intervention and the original set of confounders.

Questions about the HSR website? Email the Web Team

Any health information on this website is strictly for informational purposes and is not intended as medical advice. It should not be used to diagnose or treat any condition.