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. Author manuscript; available in PMC: 2014 Nov 1.
Published in final edited form as: Contemp Clin Trials. 2013 Sep 25;36(2):10.1016/j.cct.2013.09.009. doi: 10.1016/j.cct.2013.09.009

Table 3.

Simulation results of the Bayesian two-step Lasso with δ1 = 0.2 and δ2 = 0.7: posterior means, and selection probabilities of marker main effects and marker-treatment interactions (Main: marker main effect, MT1: marker and treatment 1 interaction, and MT2: marker and treatment 2 interaction).

M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15
Null Model
Posterior Mean
Main 0.007 −0.002 0.004 −0.001 0.002 0.002 −0.006 0.001 −0.001 0.002 −0.009 0.002 −0.005 0.003 −0.001
MT1 −0.002 −0.000 0.008 0.001 0.008 0.000 −0.005 0.000 0.006 0.000 −0.003 0.007 0.007 −0.001 0.002
MT2 −0.001 −0.000 0.010 −0.003 −0.003 −0.005 0.000 0.005 −0.002 0.005 0.008 −0.002 0.003 −0.002 −0.006
Selection Probability
Main 0.108 0.089 0.109 0.081 0.084 0.073 0.108 0.085 0.096 0.067 0.101 0.098 0.102 0.090 0.103
MT1 0.054 0.098 0.050 0.089 0.059 0.077 0.055 0.088 0.058 0.083 0.047 0.082 0.053 0.065 0.062
MT2 0.062 0.094 0.055 0.084 0.043 0.079 0.050 0.090 0.041 0.081 0.052 0.076 0.054 0.118 0.056

Alternative Model 1
Posterior Mean
Main −0.340 −0.464 0.353 0.451 −0.289 −0.305 0.288 0.318 −0.301 −0.307 0.281 0.310 −0.005 −0.001 0.001
MT1 −0.057 −0.053 0.062 0.060 −0.463 −0.671 0.407 0.658 −0.013 −0.020 0.009 0.023 −0.003 −0.004 0.002
MT2 −0.064 −0.055 0.062 0.055 −0.017 −0.023 0.001 0.025 −0.467 −0.666 0.420 0.665 0.004 0.001 −0.001
Selection Probability
Main 0.485 0.953 0.490 0.930 0.377 0.697 0.380 0.722 0.404 0.730 0.345 0.703 0.082 0.067 0.072
MT1 0.055 0.092 0.051 0.107 0.393 0.846 0.331 0.837 0.049 0.064 0.059 0.088 0.045 0.058 0.040
MT2 0.078 0.102 0.066 0.089 0.034 0.061 0.030 0.086 0.376 0.837 0.330 0.855 0.046 0.069 0.037