Scenario1 0.30/0.30   Scenario2 0.30/0  
SNP 1 SNP 2 SNP 1 SNP 2
GBM 1.3 (1.9) 0.8 (1.2) 1.1 (1.7) 19.0 (19.9)
RobustSNP 3.0 (4.2) 2.2 (3.3) 1.1 (1.6) 56.9 (33.7)
AdditiveGWA 1.7 (2.5) 1.8 (2.7) 0.8 (1.1) 52.1 (35.3)
Note: Results are presented as percentile median ranks of detecting SNP. A robust measure of variability (Median Absolute Deviation, MAD) is given between brackets. SNP1 always explains 0.3% of the variance, SNP2 either explains 0.3% (scenario1) or zero% (scenario2). Using GBM, a SNP with a zero main effect (SNP2, scenario2) is within the19th percentile in 50% of the Monte Carlo replications. Robust SNP and additive GWAS perform (as expected) only at chance level (i.e., median percentile rank around 50).
Table 2: Results of two interacting simulated SNPs using GBM, Robust SNP, and a standard additive GWA model.