Table 4.

Differences between the DIC and their standard errors

	Half-Cauchy	Gamma	Half-Normal	Uniform
Half-Cauchy	−	20.80438	19.44639	22.51744
		15.16039	18.60957	16.4013
Gamma	−20.80438	–	−1.357996	1.713055
	15.16039		17.86342	17.0784
Half-Normal	−19.44639	1.357996	–	3.071051
	18.60957	17.86342		15.54499
Uniform	−22.51744	−1.713055	−3.071051	–
	16.4013	17.0784	15.54499

The differences in DIC and corresponding standard errors among BOAM applying a distinct prior. Thus, the difference between the Half-Cauchy and Gamma-distributed prior with respect to DIC is 20.80438 and the sample standard error of this difference is 15.16039. These values show that the model using a Gamma-distributed prior for the additive genetic variance fits better than does a Half-Cauchy-distributed prior, which is observed in the difference of this same comparison but in the direction Gamma vs. Half-Cauchy, in which the DIC’s difference is negative, in favor for the Gamma-distributed prior.