Table 4 Summary of simulation performance between MP, DoM, and DoM with cage environmental noise removed, fitting a full model and using model selection, and Oracle MP estimator, which fits only true effects
Summary statisticMPDoMDoM, no cage noiseOracle MP
Full model
Posterior-mean L2 error21.03 (8.27)21.34 (7.14)24.04 (7.34)5.46 (2.32)
MC L2 error, all127.93 (30.24)207.59 (72.2)159.4 (38.82)11.05 (2.47)
95% C.I. width3.01 (0.22)3.9 (0.27)3.32 (0.22)1.7 (0.12)
95% C.I. coverage99.6 (0.6)%99.9 (0.2)%99.7 (0.5)%95.6 (4.7)%
Nonzeros identified91.7 (5)%86.1 (5.4)%91.9 (4.7)%96.2 (3.5)%
Selection
Posterior-mean L2 error5.24 (2.33)5.4 (2.46)5.07 (2.45)
MC L2 error31.85 (15.8)47.43 (17.75)34.11 (14.34)
95% C.I. width1.77 (0.13)2.16 (0.13)1.71 (0.11)
95% C.I. coverage96.2 (4.4)%98 (3.1)%96.1 (4.3)%
MIP nonzeros99.99 (0.02)%73.9 (1.8)%72.9 (1.3)%
MIP zeros16.4 (3.6)%15 (2.3)%13.3 (2.3)%