| |
Model 1
|
Model 2
|
Model 3
|
Model 4
|
Model 5
|
Model 6
|
Model 7
|
Model 8
|
---|
N
| |
X2
|
X3
|
X4
|
X2,X3
|
X2,X4
|
X3,X4
|
X2,X3,X4
|
X1,X2,X3,X4
|
---|
| |
PSm
|
IPTW
|
PSm
|
IPTW
|
PSm
|
IPTW
|
PSm
|
IPTW
|
PSm
|
IPTW
|
PSm
|
IPTW
|
PSm
|
IPTW
|
PSm
|
IPTW
|
---|
40
|
Type I error
|
0.062
|
0.041
|
0.059
|
0.051
|
0.058
|
0.040
|
0.060
|
0.047
|
0.053
|
0.036
|
0.048
|
0.045
|
0.053
|
0.044
|
0.052
|
0.047
|
|
Bias
|
0.273
|
0.235
|
0.265
|
0.251
|
0.086
|
0.06
|
0.259
|
0.25
|
0.075
|
0.061
|
0.064
|
0.071
|
0.075
|
0.074
|
0.048
|
0.079
|
|
Relative bias
|
32.6
|
28.1
|
31.7
|
30
|
10.3
|
7.2
|
31
|
29.9
|
9
|
7.3
|
7.6
|
8.5
|
9
|
8.8
|
5.7
|
9.4
|
|
Variance
|
0.809
|
0.508
|
0.872
|
0.566
|
0.862
|
0.551
|
0.874
|
0.573
|
0.843
|
0.56
|
0.907
|
0.634
|
0.904
|
0.644
|
0.903
|
0.683
|
|
MSE
|
0.884
|
0.563
|
0.942
|
0.629
|
0.869
|
0.555
|
0.941
|
0.635
|
0.848
|
0.563
|
0.911
|
0.639
|
0.909
|
0.649
|
0.905
|
0.69
|
60
|
Type I error
|
0.055
|
0.050
|
0.058
|
0.057
|
0.045
|
0.038
|
0.052
|
0.053
|
0.043
|
0.037
|
0.049
|
0.042
|
0.044
|
0.041
|
0.044
|
0.039
|
|
Bias
|
0.239
|
0.203
|
0.235
|
0.217
|
0.041
|
0.02
|
0.245
|
0.219
|
0.047
|
0.022
|
0.051
|
0.028
|
0.059
|
0.03
|
0.05
|
0.033
|
|
Relative bias
|
28.6
|
24.3
|
28.1
|
25.9
|
4.9
|
2.4
|
29.3
|
26.2
|
5.6
|
2.6
|
6.1
|
3.3
|
7.1
|
3.6
|
6
|
3.9
|
|
Variance
|
0.466
|
0.317
|
0.52
|
0.354
|
0.494
|
0.339
|
0.532
|
0.348
|
0.477
|
0.333
|
0.524
|
0.379
|
0.514
|
0.375
|
0.516
|
0.388
|
|
MSE
|
0.523
|
0.359
|
0.575
|
0.401
|
0.495
|
0.339
|
0.592
|
0.396
|
0.479
|
0.334
|
0.527
|
0.38
|
0.517
|
0.376
|
0.519
|
0.389
|
100
|
Type I error
|
0.062
|
0.057
|
0.065
|
0.066
|
0.052
|
0.039
|
0.057
|
0.062
|
0.042
|
0.034
|
0.046
|
0.041
|
0.044
|
0.037
|
0.04
|
0.036
|
|
Bias
|
0.209
|
0.193
|
0.212
|
0.203
|
0.029
|
0.013
|
0.215
|
0.203
|
0.029
|
0.013
|
0.028
|
0.016
|
0.028
|
0.016
|
0.025
|
0.016
|
|
Relative bias
|
25
|
23.1
|
25.3
|
24.3
|
3.5
|
1.6
|
25.7
|
24.3
|
3.5
|
1.6
|
3.3
|
1.9
|
3.3
|
1.9
|
2.9
|
1.9
|
|
Variance
|
0.239
|
0.175
|
0.254
|
0.194
|
0.242
|
0.186
|
0.256
|
0.188
|
0.239
|
0.18
|
0.259
|
0.205
|
0.253
|
0.199
|
0.261
|
0.204
|
|
MSE
|
0.282
|
0.212
|
0.299
|
0.235
|
0.243
|
0.186
|
0.302
|
0.23
|
0.24
|
0.18
|
0.259
|
0.205
|
0.254
|
0.2
|
0.262
|
0.204
|
500
|
Type I error
|
0.148
|
0.155
|
0.150
|
0.162
|
0.051
|
0.045
|
0.146
|
0.157
|
0.046
|
0.040
|
0.046
|
0.042
|
0.045
|
0.037
|
0.042
|
0.037
|
|
Bias
|
0.187
|
0.182
|
0.192
|
0.191
|
0.014
|
0.005
|
0.193
|
0.191
|
0.015
|
0.005
|
0.014
|
0.005
|
0.014
|
0.005
|
0.013
|
0.005
|
|
Relative bias
|
22.3
|
21.8
|
22.9
|
22.8
|
1.7
|
0.6
|
23.1
|
22.8
|
1.8
|
0.6
|
1.7
|
0.6
|
1.7
|
0.6
|
1.5
|
0.6
|
|
Variance
|
0.037
|
0.032
|
0.042
|
0.036
|
0.04
|
0.034
|
0.041
|
0.034
|
0.039
|
0.033
|
0.044
|
0.037
|
0.042
|
0.035
|
0.042
|
0.035
|
|
MSE
|
0.072
|
0.066
|
0.079
|
0.072
|
0.04
|
0.034
|
0.078
|
0.071
|
0.039
|
0.033
|
0.044
|
0.037
|
0.042
|
0.035
|
0.042
|
0.035
|
- This table specially details the sample sizes ranging from 40 to 500. Prevalence of the treatment set at 0.5, treatment effect.