Table 1
Open in new tab

Mean and standard deviations of the median absolute prediction error based on leave-one-out CV, using the DPM model and the simple multivariate normal model (Simple). |$\hat{D}$| denotes the estimate based on the full data model, and |$D$| in comparison to the true treatment effect 

SettingDPM |$\hat{D}$|Simple |$\hat{D}$|DPM |${D}$|Simple |$D$|
inter-0.0-0.00.32 (0.04)0.82 (0.07)0.29 (0.04)0.81 (0.07)
inter-0.0-0.30.45 (0.05)0.87 (0.08)0.44 (0.04)0.87 (0.08)
interhide-0.0-0.00.49 (0.07)0.81 (0.08)0.47 (0.07)0.81 (0.08)
interhide-0.3-0.00.49 (0.06)0.82 (0.09)0.46 (0.07)0.81 (0.09)
linear-0.0-0.00.25 (0.02)0.41 (0.02)0.23 (0.02)0.41 (0.02)
linear-0.3-0.00.30 (0.02)0.41 (0.02)0.29 (0.02)0.41 (0.02)
linear-0.3-0.30.41 (0.04)0.50 (0.03)0.41 (0.03)0.49 (0.03)
manybiom-0.0-0.00.44 (0.05)1.80 (0.12)0.42 (0.05)1.80 (0.12)
manybiom-0.3-0.00.42 (0.05)1.82 (0.13)0.40 (0.05)1.82 (0.13)
manybiom-0.3-0.30.54 (0.06)1.85 (0.13)0.54 (0.06)1.85 (0.13)
nonlinear-0.0-0.00.42 (0.04)0.66 (0.05)0.40 (0.04)0.65 (0.05)
nonlinear-0.3-0.00.45 (0.04)0.71 (0.06)0.43 (0.04)0.70 (0.06)
nonlinear-0.3-0.30.54 (0.06)0.76 (0.07)0.53 (0.06)0.75 (0.06)
nonlinearskew-0.0-0.00.41 (0.05)0.61 (0.05)0.39 (0.05)0.61 (0.05)
null-0.0-0.00.50 (0.15)0.86 (0.04)0.48 (0.16)0.85 (0.04)
onetrt-0.0-0.00.37 (0.07)0.89 (0.06)0.34 (0.08)0.89 (0.06)
onetrt-0.0-0.30.54 (0.07)0.94 (0.06)0.53 (0.07)0.94 (0.06)
simple-0.0-0.00.26 (0.02)0.42 (0.02)0.24 (0.02)0.41 (0.02)
simple-0.3-0.00.26 (0.02)0.42 (0.02)0.24 (0.02)0.41 (0.02)
simple-0.3-0.30.38 (0.03)0.50 (0.03)0.37 (0.03)0.49 (0.03)
simplestrong-0.0-0.00.46 (0.04)1.16 (0.06)0.45 (0.04)1.16 (0.06)
twotrt-0.0-0.01.84 (0.99)2.20 (0.35)1.83 (1.00)2.20 (0.35)
twotrt-0.3-0.01.67 (0.77)2.11 (0.32)1.67 (0.79)2.11 (0.33)
SettingDPM |$\hat{D}$|Simple |$\hat{D}$|DPM |${D}$|Simple |$D$|
inter-0.0-0.00.32 (0.04)0.82 (0.07)0.29 (0.04)0.81 (0.07)
inter-0.0-0.30.45 (0.05)0.87 (0.08)0.44 (0.04)0.87 (0.08)
interhide-0.0-0.00.49 (0.07)0.81 (0.08)0.47 (0.07)0.81 (0.08)
interhide-0.3-0.00.49 (0.06)0.82 (0.09)0.46 (0.07)0.81 (0.09)
linear-0.0-0.00.25 (0.02)0.41 (0.02)0.23 (0.02)0.41 (0.02)
linear-0.3-0.00.30 (0.02)0.41 (0.02)0.29 (0.02)0.41 (0.02)
linear-0.3-0.30.41 (0.04)0.50 (0.03)0.41 (0.03)0.49 (0.03)
manybiom-0.0-0.00.44 (0.05)1.80 (0.12)0.42 (0.05)1.80 (0.12)
manybiom-0.3-0.00.42 (0.05)1.82 (0.13)0.40 (0.05)1.82 (0.13)
manybiom-0.3-0.30.54 (0.06)1.85 (0.13)0.54 (0.06)1.85 (0.13)
nonlinear-0.0-0.00.42 (0.04)0.66 (0.05)0.40 (0.04)0.65 (0.05)
nonlinear-0.3-0.00.45 (0.04)0.71 (0.06)0.43 (0.04)0.70 (0.06)
nonlinear-0.3-0.30.54 (0.06)0.76 (0.07)0.53 (0.06)0.75 (0.06)
nonlinearskew-0.0-0.00.41 (0.05)0.61 (0.05)0.39 (0.05)0.61 (0.05)
null-0.0-0.00.50 (0.15)0.86 (0.04)0.48 (0.16)0.85 (0.04)
onetrt-0.0-0.00.37 (0.07)0.89 (0.06)0.34 (0.08)0.89 (0.06)
onetrt-0.0-0.30.54 (0.07)0.94 (0.06)0.53 (0.07)0.94 (0.06)
simple-0.0-0.00.26 (0.02)0.42 (0.02)0.24 (0.02)0.41 (0.02)
simple-0.3-0.00.26 (0.02)0.42 (0.02)0.24 (0.02)0.41 (0.02)
simple-0.3-0.30.38 (0.03)0.50 (0.03)0.37 (0.03)0.49 (0.03)
simplestrong-0.0-0.00.46 (0.04)1.16 (0.06)0.45 (0.04)1.16 (0.06)
twotrt-0.0-0.01.84 (0.99)2.20 (0.35)1.83 (1.00)2.20 (0.35)
twotrt-0.3-0.01.67 (0.77)2.11 (0.32)1.67 (0.79)2.11 (0.33)
Table 1
Open in new tab

Mean and standard deviations of the median absolute prediction error based on leave-one-out CV, using the DPM model and the simple multivariate normal model (Simple). |$\hat{D}$| denotes the estimate based on the full data model, and |$D$| in comparison to the true treatment effect 

SettingDPM |$\hat{D}$|Simple |$\hat{D}$|DPM |${D}$|Simple |$D$|
inter-0.0-0.00.32 (0.04)0.82 (0.07)0.29 (0.04)0.81 (0.07)
inter-0.0-0.30.45 (0.05)0.87 (0.08)0.44 (0.04)0.87 (0.08)
interhide-0.0-0.00.49 (0.07)0.81 (0.08)0.47 (0.07)0.81 (0.08)
interhide-0.3-0.00.49 (0.06)0.82 (0.09)0.46 (0.07)0.81 (0.09)
linear-0.0-0.00.25 (0.02)0.41 (0.02)0.23 (0.02)0.41 (0.02)
linear-0.3-0.00.30 (0.02)0.41 (0.02)0.29 (0.02)0.41 (0.02)
linear-0.3-0.30.41 (0.04)0.50 (0.03)0.41 (0.03)0.49 (0.03)
manybiom-0.0-0.00.44 (0.05)1.80 (0.12)0.42 (0.05)1.80 (0.12)
manybiom-0.3-0.00.42 (0.05)1.82 (0.13)0.40 (0.05)1.82 (0.13)
manybiom-0.3-0.30.54 (0.06)1.85 (0.13)0.54 (0.06)1.85 (0.13)
nonlinear-0.0-0.00.42 (0.04)0.66 (0.05)0.40 (0.04)0.65 (0.05)
nonlinear-0.3-0.00.45 (0.04)0.71 (0.06)0.43 (0.04)0.70 (0.06)
nonlinear-0.3-0.30.54 (0.06)0.76 (0.07)0.53 (0.06)0.75 (0.06)
nonlinearskew-0.0-0.00.41 (0.05)0.61 (0.05)0.39 (0.05)0.61 (0.05)
null-0.0-0.00.50 (0.15)0.86 (0.04)0.48 (0.16)0.85 (0.04)
onetrt-0.0-0.00.37 (0.07)0.89 (0.06)0.34 (0.08)0.89 (0.06)
onetrt-0.0-0.30.54 (0.07)0.94 (0.06)0.53 (0.07)0.94 (0.06)
simple-0.0-0.00.26 (0.02)0.42 (0.02)0.24 (0.02)0.41 (0.02)
simple-0.3-0.00.26 (0.02)0.42 (0.02)0.24 (0.02)0.41 (0.02)
simple-0.3-0.30.38 (0.03)0.50 (0.03)0.37 (0.03)0.49 (0.03)
simplestrong-0.0-0.00.46 (0.04)1.16 (0.06)0.45 (0.04)1.16 (0.06)
twotrt-0.0-0.01.84 (0.99)2.20 (0.35)1.83 (1.00)2.20 (0.35)
twotrt-0.3-0.01.67 (0.77)2.11 (0.32)1.67 (0.79)2.11 (0.33)
SettingDPM |$\hat{D}$|Simple |$\hat{D}$|DPM |${D}$|Simple |$D$|
inter-0.0-0.00.32 (0.04)0.82 (0.07)0.29 (0.04)0.81 (0.07)
inter-0.0-0.30.45 (0.05)0.87 (0.08)0.44 (0.04)0.87 (0.08)
interhide-0.0-0.00.49 (0.07)0.81 (0.08)0.47 (0.07)0.81 (0.08)
interhide-0.3-0.00.49 (0.06)0.82 (0.09)0.46 (0.07)0.81 (0.09)
linear-0.0-0.00.25 (0.02)0.41 (0.02)0.23 (0.02)0.41 (0.02)
linear-0.3-0.00.30 (0.02)0.41 (0.02)0.29 (0.02)0.41 (0.02)
linear-0.3-0.30.41 (0.04)0.50 (0.03)0.41 (0.03)0.49 (0.03)
manybiom-0.0-0.00.44 (0.05)1.80 (0.12)0.42 (0.05)1.80 (0.12)
manybiom-0.3-0.00.42 (0.05)1.82 (0.13)0.40 (0.05)1.82 (0.13)
manybiom-0.3-0.30.54 (0.06)1.85 (0.13)0.54 (0.06)1.85 (0.13)
nonlinear-0.0-0.00.42 (0.04)0.66 (0.05)0.40 (0.04)0.65 (0.05)
nonlinear-0.3-0.00.45 (0.04)0.71 (0.06)0.43 (0.04)0.70 (0.06)
nonlinear-0.3-0.30.54 (0.06)0.76 (0.07)0.53 (0.06)0.75 (0.06)
nonlinearskew-0.0-0.00.41 (0.05)0.61 (0.05)0.39 (0.05)0.61 (0.05)
null-0.0-0.00.50 (0.15)0.86 (0.04)0.48 (0.16)0.85 (0.04)
onetrt-0.0-0.00.37 (0.07)0.89 (0.06)0.34 (0.08)0.89 (0.06)
onetrt-0.0-0.30.54 (0.07)0.94 (0.06)0.53 (0.07)0.94 (0.06)
simple-0.0-0.00.26 (0.02)0.42 (0.02)0.24 (0.02)0.41 (0.02)
simple-0.3-0.00.26 (0.02)0.42 (0.02)0.24 (0.02)0.41 (0.02)
simple-0.3-0.30.38 (0.03)0.50 (0.03)0.37 (0.03)0.49 (0.03)
simplestrong-0.0-0.00.46 (0.04)1.16 (0.06)0.45 (0.04)1.16 (0.06)
twotrt-0.0-0.01.84 (0.99)2.20 (0.35)1.83 (1.00)2.20 (0.35)
twotrt-0.3-0.01.67 (0.77)2.11 (0.32)1.67 (0.79)2.11 (0.33)
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