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Table 2 Comparison of SBV predicted using longitudinal phenotypesa and EBV predicted using summarized phenotypesb, using pedigree and pedigree plus genomic information for the low (LRFI) and high (HRFI) RFI lines

From: Quality of breeding value predictions from longitudinal analyses, with application to residual feed intake in pigs

  Pedigree Pedigree + genomics
LRFI HRFI LRFI HRFI
\(Bias\) \({\overline{SBV} }_{w}-\overline{{u }_{ySBVw}}\)     
 \({SBV}_{1}\) 0.00 0.02 0.00 0.02
 \({SBV}_{2}\) 0.03 0.00 0.02 0.00
 \({SBV}_{3}\) 0.01 0.00 0.01 0.00
Dispersion \({b}_{{SBV}_{w},{u}_{ySBVw}}\)     
 \({SBV}_{1}\) 1.05 1.03 1.04 1.03
 \({SBV}_{2}\) 1.03 1.02 1.03 1.03
 \({SBV}_{3}\) 1.00 1.01 0.97 1.00
Ratio of accuracies \({\rho }_{{SBV}_{w},{u}_{ySBVw}}\)     
 \({SBV}_{1}\) 1.00 1.00 1.00 1.00
 \({SBV}_{2}\) 1.00 0.99 0.99 0.99
 \({SBV}_{3}\) 0.98 0.98 0.98 0.98
  1. aLongitudinal phenotypes = weekly measurements of FI analyzed with an RR model: \({FI}_{ij}={\mathbf{x}}_{ij}{\varvec{\upbeta}}+{{\beta }_{1}MBW}_{ij}+{\beta }_{2}{ADG}_{ij}+{\beta }_{3}{BFT}_{ij}+\sum_{q=0}^{2}{\mathrm{a}}_{iq}{\varphi }_{q}\left(j\right)+\sum_{q=0}^{2}{\mathrm{b}}_{iq}{\varphi }_{q}\left(j\right)+{e}_{ij}\), \({\mathrm{SBV}}_{\mathrm{l},\mathrm{i}}={\mathbf{L}}_{\mathrm{Gl}}{\mathbf{u}}_{\mathrm{i}}\), where \({\mathbf{L}}_{\mathrm{Gl}}\) is the \({l}^{th}\) eigenvector from the decomposition of the \(\mathbf{G}\) matrix
  2. bSummarized phenotypes:\({\mathbf{y}}_{{\mathbf{S}\mathbf{B}\mathbf{V}}_{\mathbf{l}}}={\mathbf{L}}_{\widehat{\mathbf{G}},\mathbf{l}}^{\mathbf{^{\prime}}}\left(\mathbf{F}\mathbf{I}-\mathbf{X}\widehat{{\varvec{\upbeta}}}-\widehat{{\beta }_{1}}\mathbf{M}\mathbf{B}\mathbf{W}-\widehat{{\beta }_{2}}\mathbf{A}\mathbf{D}\mathbf{G}-\widehat{{\beta }_{3}}\mathbf{B}\mathbf{F}\mathbf{T}\right)\)