A Bayesian method and its variational approximation for prediction of genomic breeding values in multiple traits

BMC Bioinformatics

Table 5 Correlations between predicted GBVs for trait A, B and C

Data	Method	A-B (0.72)	A-C (0.0)	B-C (0.0)
I	MCBayes π = 0	0.588 ± 0.181	−0.071 ± 0.175	−0.091 ± 0.199
	0 < π <1	0.699 ± 0.188	−0.057 ± 0.250	−0.076 ± 0.301
	varBayes π = 0	0.688 ± 0.184	−0.100 ± 0.241	−0.077 ± 0.279
	0 < π <1	0.644 ± 0.169	−0.053 ± 0.192	−0.058 ± 0.247
	Single-trait (MCBayes) π = 0	0.446 ± 0.132	0.058 ± 0.096	0.096 ± 0.121
	0 < π <1	0.452 ± 0.183	0.035 ± 0.090	0.060 ± 0.111
	Simulated BV	0.755 ± 0.133	0.003 ± 0.054	0.004 ± 0.060
II	MCBayes π = 0	0.606 ± 0.197	−0.129 ± 0.113	−0.071 ± 0.140
	0 < π <1	0.721 ± 0.222	−0.161 ± 0.149	−0.128 ± 0.179
	varBayes π = 0	0.614 ± 0.206	−0.176 ± 0.135	−0.090 ± 0.179
	0 < π <1	0.671 ± 0.210	−0.153 ± 0.168	−0.047 ± 0.193
	Single-trait (MCBayes) π = 0	0.394 ± 0.115	0.020 ± 0.075	0.072 ± 0.111
	0 < π <1	0.479 ± 0.206	−0.018 ± 0.084	0.022 ± 0.094
	Simulated BV	0.735 ± 0.166	−0.031 ± 0.054	−0.012 ± 0.041
III	MCBayes π = 0	0.530 ± 0.195	−0.032 ± 0.223	−0.037 ± 0.238
	0 < π <1	0.662 ± 0.208	−0.014 ± 0.326	−0.013 ± 0.369
	varBayes π = 0	0.555 ± 0.194	−0.028 ± 0.218	−0.023 ± 0.248
	0 < π <1	0.455 ± 0.167	−0.001 ± 0.158	0.021 ± 0.190
	Single-trait (MCBayes) π = 0	0.315 ± 0.106	0.029 ± 0.105	0.080 ± 0.134
	0 < π <1	0.323 ± 0.138	0.024 ± 0.097	0.057 ± 0.130

Averages and standard errors are listed based on 100 replicates of simulated data in Data I and Data III and 20 replicates in Data II. Simulated BV indicates simulated breeding values, where expected correlations are 0.72, 0.0 and 0.0 for trait-pairs A-B, A-C and B-C as listed in parentheses. In Data III, correlations between simulated breeding values are the same as those in Data I.

ISSN: 1471-2105