Table 5.

Statistics^a of marginal posterior distributions for genetic parameter estimates under Model 8 at the mean of the explanatory covariates

Genetic parameterb	Mean	Median	sd	HPD	Pr| $\widehat{\mathit{p}}$ |>0c	ESS
${\widehat{h}}_{\mathit{RFI}}^2$	0.12	0.13	0.05	0.04	0.20	1.00	476
${\widehat{h}}_{FI/MW}^2$	0.44	0.43	0.20	0.10	0.79	1.00	155
${\widehat{h}}_{FI/WG}^2$	0.39	0.41	0.19	0.06	0.68	1.00	301
${\widehat{h}}_{FI/FG}^2$	0.55	0.56	0.14	0.31	0.79	1.00	356
rg(${\text{a}}_{\text{RFI}}$, ${\text{a}}_{\text{FI}/\text{MW}}$)	− 0.46	− 0.48	0.30	− 0.99	0.08	0.07	239
rg(${\text{a}}_{\text{RFI}}$, ${\text{a}}_{\text{FI}/\text{WG}}$)	0.75	0.82	0.26	0.23	1.00	0.98	116
rg(${\text{a}}_{\text{RFI}}$, ${\text{a}}_{\text{FI}/\text{FG}}$)	0.52	0.51	0.31	0.02	0.98	0.96	355
rg(${\text{a}}_{\text{FI}/\text{MW}}$, ${\text{a}}_{\text{FI}/\text{WG}}$)	− 0.43	− 0.46	0.33	− 0.96	0.12	0.10	203
rg(${\text{a}}_{\text{FI}/\text{MW}}$, ${\text{a}}_{\text{FI}/\text{FG}}$)	− 0.19	− 0.21	0.30	− 0.74	0.41	0.25	326
rg(${\text{a}}_{\text{FI}/\text{WG}}$, ${\text{a}}_{\text{FI}/\text{FG}}$)	0.57	0.60	0.19	0.19	0.88	0.99	342

^aMean, median, highest posterior density (HPD) intervals, probability of the parameter to be higher than zero (Pr| $\widehat{p}$ | > 0) and effective sample size (ESS)

^b ${\widehat{h}}_{\mathit{RFI}}^2$ = heritability estimate of the intercept (residual feed intake); ${\widehat{h}}_j^2$ = heritability estimate (defined as the ratio between additive variance associated to each component divided by the sum of their permanent and additive genetic components) of the slopes of $\text{FI}$ on the different explanatory variables $j$: metabolic weight ($\text{FI}$ / $\text{MW}$), overall growth ($\text{FI}$ / $\text{WG}$) and backfat thickness gain ($\text{FI}$ / $\text{FG}$); r_g(x, y) = genetic correlation between components of feed efficiency

^cPr| $\widehat{p}$ | > 0 is only relevant for the genetic correlations, prior assumptions of the heritabilities force this quantity to be equal to 1