. 2014 May 7;46(1):30. doi: 10.1186/1297-9686-46-30

Table 5.

Estimated variance components (±SE) from a traditional animal model ignoring IGE (model 3)¹

Parameter

Neck BMS

Body BMS

Tail BMS

Total BMS

Weight (Kg)

{\hat{σ}}_{A}^{2}

0.62 ± 0.15

1.06 ± 0.22

0.95 ± 0.19

7.26 ± 1.38

0.06 ± 0.015

^{2} \hat{ρ}

0.28 ± 0.047

0.26 ± 0.04

0.17 ± 0.028

0.26 ± 0.04

-0.15 ± 0.09

^{2} {\hat{ρ}}_{s}

0.05 ± 0.054

-0.09 ± 0.05

-0.17 ± 0.03

-0.09 ± 0.05

0.40 ± 0.19

{\hat{σ}}_{e_{m}}^{2}

1.18 ± 0.12

2.74 ± 0.22

2.31 ± 0.20

11.4 ± 1.14

0.026 ± 0.008

{\hat{σ}}_{e_{f}}^{2}

2.93 ± 0.22

3.53 ± 0.27

5.98 ± 0.34

22.4 ± 1.72

0.03 ± 0.009

^{3} {\hat{σ}}_{P}^{2}

3.54 ± 0.11

4.95 ± 0.24

5.31 ± 0.18

31.09 ± 1.00

0.011 ± 0.005

{\hat{h}}^{2}

0.18 ± 0.04

0.21 ± 0.08

0.18 ± 0.036

0.23 ± 0.04

0.57 ± 0.13

{\hat{c}}^{2}

0.07 ± 0.05

¹Model 3 was y = Xb + Z_Da_D + Wg + Vg * s + e; ²although cage and cage*sex covariances were fitted, the result is expressed as the non-genetic correlation between phenotypes of cage mates, $\hat{ρ} = \frac{{\hat{σ}}_{g}^{2}}{{\hat{σ}}_{g * s}^{2} + {\hat{σ}}_{g}^{2} + 0.5 ({\hat{σ}}_{e_{_{m}}}^{2} + {\hat{σ}}_{e_{f}}^{2})}$ , and as the non-genetic correlation between phenotypes of cage mates of the same sex, ${\hat{ρ}}_{s} = \frac{{\hat{σ}}_{g * s}^{2}}{{\hat{σ}}_{g * s}^{2} + {\hat{σ}}_{g}^{2} + 0.5 ({\hat{σ}}_{e_{_{m}}}^{2} + {\hat{σ}}_{e_{f}}^{2})}$ ; ³for BMS, phenotypic variance was estimated from a separate analysis using the model y = Xb + e, this was done because our objective was to present a single number for phenotypic variance and heritability, covering both sexes, since a single genetic variance was fitted covering both sexes; however, since our aim was to estimate the other model terms with the best fitting model, a separate analysis for phenotypic variance was performed; the standard errors of heritability estimates were calculated from the full model, averaging the residual variances for both sexes; ${\hat{c}}^{2} = \frac{{\hat{σ}}_{n_{d}}^{2}}{{\hat{σ}}_{p}^{2}}$ , ${\hat{σ}}_{n_{d}}^{2}$ refers to the non-genetic dam variance; ${\hat{c}}^{2}$ refers to the non-genetic maternal effect.