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Research article2003Peer reviewedOpen access

A simple method for weighted bending of genetic (co)variance matrices

Jorjani H, Klei L, Emanuelson U


Due to computational demand, elements of genetic correlation matrices may have been estimated separately and then combined together into a single correlation matrix at a later stage. Because these matrices should be positive definite (PD) a statistical method commonly known as "bending" is used to make them positive definite. The conventional bending method ignores the reliability of different correlations and may subject; any of them to change in order to make a positive definite correlation matrix. A simple method to obtain a weighted bended matrix to be used in animal breeding applications is proposed, and the implementation of the method is demonstrated by an example


genetic correlation matrix; covariance matrices; weighted bending

Published in

Journal of Dairy Science
2003, Volume: 86, number: 2, pages: 677-679