- THIS ARTICLE
- Full Text (Rapid PDF)
-
All Versions of this Article:
genetics.107.077487v1
177/2/1255 most recent - Alert me when this article is cited
- Alert me if a correction is posted
- SERVICES
- Similar articles in this journal
- Similar articles in PubMed
- Alert me to new issues of the journal
- Download to citation manager
- Reprints & Permissions
- CITING ARTICLES
- Citing Articles via Google Scholar
- GOOGLE SCHOLAR
- Articles by Xu, S.
- Search for Related Content
- PUBMED
- PubMed Citation
- Articles by Xu, S.
doi:10.1534/genetics.107.077487
A more recent version of this article appeared on October 1, 2007.
NOTE |
Derivation of the Shrinkage Estimates of Quantitative Trait Locus Effects
Shizhong Xu 1*
1 University of California, Riverside
* To whom correspondence should be addressed. E-mail: xu{at}genetics.ucr.edu.
Submitted on June 12, 2007
Revised on July 17, 2007
Accepted on 3 August 2007
The shrinkage estimate of a quantitative trait locus (QTL) effect is the posterior mean of the QTL effect when a normal prior distribution is assigned to the QTL. This note gives the derivation of the shrinkage estimate under the multivariate linear model. An important lemma regarding posterior mean of a normal likelihood combined with a normal prior is introduced. The lemma was then used to derive the Bayesian shrinkage estimates of the QTL effects.
Key Words: Bayes, QTL mapping, Regression coefficient, Shrinkage estimate