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Table 5 Statisticsa of marginal posterior distributions for genetic parameter estimates under Model 8 at the mean of the explanatory covariates

From: Genetic parameters and expected responses to selection for components of feed efficiency in a Duroc pig line

Genetic parameterb

Mean

Median

sd

HPD

Pr| \(\hat{\varvec{p}}\) |>0c

ESS

 

\(\hat{h}_{RFI}^{2}\)

0.12

0.13

0.05

0.04

0.20

1.00

476

\(\hat{h}_{FI/MW}^{2}\)

0.44

0.43

0.20

0.10

0.79

1.00

155

\(\hat{h}_{FI/WG}^{2}\)

0.39

0.41

0.19

0.06

0.68

1.00

301

\(\hat{h}_{FI/FG}^{2}\)

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

  1. aMean, median, highest posterior density (HPD) intervals, probability of the parameter to be higher than zero (Pr| \(\hat{p}\) | > 0) and effective sample size (ESS)
  2. b \(\hat{h}_{RFI}^{2}\) = heritability estimate of the intercept (residual feed intake); \(\hat{h}_{j}^{2}\) = 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 (\({\text{FI}}\) / \({\text{FG}}\)); rg(x, y) = genetic correlation between components of feed efficiency
  3. cPr| \(\hat{p}\) | > 0 is only relevant for the genetic correlations, prior assumptions of the heritabilities force this quantity to be equal to 1