In an attempt to understand evaluations based on single nucleotide polymorphisms (SNPs), equations for SNP effects expressed in terms of SNP deviations were examined for BLUP and Bayesian methods. The SNP deviations from Bayesian methods were higher and more varied compared to BLUP. It seems that Bayesian methods were able to more differentially and appropriately weight computed SNP deviations by estimating different variances for each SNP. The influence of parent average (PA) on GMACE evaluations for young bulls in the importing country when a bull has only a genomic breeding value (GEBV) in the exporting country was also examined. The GMACE proof of such young bulls could be reduced by up to 63% in the importing country when the PA is low.