A certain invariance property of BLUE in a whole‐genome regression context. (7th January 2019)

• Record Type: Journal Article
• Authors: Gianola, Daniel; Fernando, Rohan L.; Garrick, Dorian J.
• Is Part Of: Journal of animal breeding and genetics. Volume 136:Number 2(2019)
• Page Start: 113
• Page End: 117
• Publication Date: 2019-01-07
• Subjects: Livestock -- Breeding -- Periodicals; Livestock -- Genetics -- Periodicals; 636.0820
• DOI: 10.1111/jbg.12378
• Languages: English
• ISSNs: 0931-2668

Abstract

Abstract: A curious result from mixed linear models applied to genome‐wide association studies was expanded. In particular, a model in which one or more markers are considered as fixed but are allowed to contribute to the covariance structure by treating such markers as random as well was examined. The best linear unbiased estimator of marker effects is invariant with respect to whether those markers are employed in constructing a genomic relationship matrix or are ignored, provided marker effects are uncorrelated with those not being tested. Also, the implications of regarding some marker effects as fixed when, in fact, these possess a non‐trivial covariance structure with those declared as random were examined.