Table 2 Set of 16 statistics used to compare predictions based on the whole and partial beef cattle datasets
Statistic | Description |
|---|---|
\(h^{2}\) | REML estimate of heritability for each ‘Partial’ dataset (each random 50% missing) |
\(b_{w,p}\) | Regression of whole on partial EBV (expectation of 1.0) |
\(b_{w,p}^{r}\) | \(b_{w,p}\) computed within reference samples (i.e. Those with phenotypes maintained in the creation of the partial sample) |
\(b_{w,p}^{v}\) | \(b_{w,p}\) computed within validation samples (i.e. Those with phenotypes treated as missing in the creation of the partial sample) |
\(b_{p,w}\) | Regression of partial on whole EBV (expectation depends on accuracies) |
\(b_{p,w}^{r}\) | \(b_{p,w}\) computed within reference samples |
\(b_{p,w}^{v}\) | \(b_{p,w}\) computed within validation samples |
\(\rho_{w,p}\) | Correlation between whole and partial EBV (expectation depends on accuracies) |
\(\rho_{w,p}^{r}\) | \(\rho_{w,p}\) computed within reference samples |
\(\rho_{w,p}^{v}\) | \(\rho_{w,p}\) computed within validation samples |
\(r\left( {y_{r} ,\hat{u}_{r} } \right)\) | Correlation between the partial EBV and the adjusted phenotypes for the reference samples |
\(r\left( {y_{v} ,\hat{u}_{v} } \right)\) | Correlation between the partial EBV and the adjusted phenotypes for the validation samples (NB. This is the conventional measure of accuracy in cross-validation genomic selection studies) |
\(d_{w,p}^{r}\) | Difference between whole and partial EBV (in absolute value) computed within reference samples |
\(d_{w,p}^{v}\) | Difference between whole and partial EBV (in absolute value) computed within validation samples |
\(Vd_{w,p}^{r}\) | Variance of the difference between whole and partial EBV computed within reference samples |
\(Vd_{w,p}^{v}\) | Variance of the difference between whole and partial EBV computed within validation samples |