Sentence examples for using the numerator relationship from inspiring English sources

The EBV2 are predictions obtained for the validation set (no phenotypic data) from a traditional BLUP approach using the numerator relationship matrix.

Genomic BLUP (G-BLUP) EBVs of both training and validation bulls were obtained by mixed-model equations using the genomic relationship matrix, whereas pedigree-based BLUP (P-BLUP) EBVs were obtained by using the numerator relationship matrix [ 24, 25].

A similar study in the Angus bovine breed reported heritability estimates of 0.48, 0.15 and 0.06 for Fe, Na and Zn concentrations, respectively, when an animal model using the numerator relationship matrix to model identity-by-descent between animals was used to estimate the variance components [ 9].

These were 1) BayesB [ 1], 2) BLUP animal model using the genomic relationship matrix [ 21], which is equivalent to RR-BLUP [ 2, 22, 23], and 3) BLUP animal model using the numerator relationship matrix [ 24, 25] to estimate standard BLUP breeding values.

We selected 65 key ancestors of the main Swiss dairy populations with an iterative algorithm, which uses the numerator relationship matrix to rank animals according to percentage of genetic diversity they explain in a given population [ 32].

The same phenotype in the two breeds was analysed by fitting a bi-variate model that used both the numerator relationship matrix (NRM) based on pedigree and the GRM.

Marker effects were treated as fixed effects (unlike in eq. 5) in SMR and relatedness structure was controlled using the numerator (A) or genomic relationship (K) matrix using the EMMAX algorithm [ 39] in the rrBLUP (v4.1) package [ 40] in R (v2.15.2) [ 34].

In practical terms, using a genomic relationship matrix is no more difficult than using the traditional numerator relationship matrix derived from a pedigree.

The CFC Package [ 12] was used to construct the numerator relationship matrix between genotyped animals for each breed, using pedigree information for genotyped animals and all their known ancestors, which comprised 13 790 Limousin and 16 716 Simmental individuals.

Using the complete numerator relationship matrix also resulted in estimates of the trait heritability from bivariate analyses to be biased downwards ([ 11]) compared to the values used in national evaluations ([ 11], Table 2).

Selective breeding programs are traditionally based on best linear unbiased prediction (BLUP) of individual breeding values that uses Henderson's mixed model equations for an animal model [ 1] that use the numerator (pedigree-based) relationship matrix (A).