Table 4.

Likelihood ratio tests between models comparing the likelihood under the null hypotheses H0 ‘the genetic correlation r_g is 0.80’ or ‘the genetic correlation r_g is 0.99’, with the maximum likelihood obtained with the estimated genetic correlation between traits for growing pigs fed with both diets, a conventional and a high-fibre diet¹

Traits	Likelihood ratio test
	H0: r g = 0.80	H0: r g = 0.99
ADG	10.58*	0.40
DFI	3.80	0.22
FCR	11.12*	0.40
RFI	8.30*	0.26
CY	0.00	0.14
ShoulderP	2.68	0.04
BellyP	2.12	0.04
LoinP	2.00	0.02
BackfatP	9.58*	0.12
HamP	3.26	0.00
LMP	4.72*	2.30*
upH	0.10	0.16
L*	0.12	0.12
a*	3.38	0.06
b*	2.48	0.08

See Table 1 for trait names.

¹ *H0 rejected at P < 0.05 when the likelihood ratio test was higher than 3.84 under the null hypotheses H0 ‘the genetic correlation r _g is 0.80’ (χ ² test with 1 df), and when the likelihood ratio test was higher than 1.92 under the null hypotheses H0 ‘the genetic correlation r _g is 0.99’ (at the bordure of the parameter space, the asymptotic null distribution is a mixture of a χ ² distribution with 1 df and a Dirac (on zero), with equal weights, resulting in a threshold value divided by 2 compared to the usual distribution)