Table 2.
Results from simulation 1 and 2 (N=500). In the imputation and dropout models of method (1), is modeled as a covariate, and in the imputation and dropout models of method (2),
is stratified on.
(a) Bias (![]() ![]() | ||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Parameter |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
||||||||||||||||
bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | |
CC![]() |
30.7 | 101.0 | 11.6 | 5.4 | 13.8 | 16.7 |
![]() |
![]() |
21.2 |
![]() |
![]() |
27.2 |
![]() |
![]() |
16.4 |
![]() |
![]() |
22.9 | 4.0 | 7.2 | 28.0 | 12.0 | 19.3 | 35.1 |
IEE![]() |
16.1 | 97.9 | 16.4 | 31.7 | 134.7 | 23.5 | 34.6 | 109.7 | 31.5 | 44.6 | 105.3 | 42.3 | 1.5 | 6.5 | 23.0 |
![]() |
![]() |
33.5 |
![]() |
![]() |
41.2 |
![]() |
![]() |
54.7 |
IPW![]() ![]() |
![]() |
![]() |
16.0 |
![]() |
![]() |
23.2 |
![]() |
![]() |
32.5 | 0.1 | 0.3 | 46.3 | 0.1 | 0.5 | 23.2 | 0.4 | 1.3 | 34.8 | 1.0 | 2.4 | 44.0 | 1.0 | 1.7 | 60.8 |
IPW![]() ![]() |
![]() |
![]() |
16.0 |
![]() |
![]() |
23.2 |
![]() |
![]() |
32.4 | 0.5 | 1.0 | 46.4 | 0.1 | 0.5 | 23.2 | 0.5 | 1.3 | 34.9 | 1.1 | 2.5 | 44.1 | 0.8 | 1.3 | 61.2 |
IPW![]() ![]() |
![]() |
![]() |
15.9 |
![]() |
![]() |
23.3 |
![]() |
![]() |
32.6 | 0.1 | 0.3 | 46.3 | 0.1 | 0.5 | 23.2 | 0.5 | 1.3 | 34.8 | 1.0 | 2.3 | 44.0 | 1.0 | 1.7 | 60.9 |
IPW![]() ![]() |
![]() |
![]() |
15.7 |
![]() |
![]() |
23.8 |
![]() |
![]() |
32.9 | 0.5 | 1.0 | 46.4 | 0.1 | 0.3 | 22.7 | 0.6 | 1.7 | 35.1 | 0.8 | 1.8 | 44.5 | 0.8 | 1.3 | 61.2 |
AIPW![]() ![]() |
![]() |
![]() |
15.2 |
![]() |
![]() |
22.2 |
![]() |
![]() |
30.1 |
![]() |
![]() |
43.1 | 0.1 | 0.3 | 21.2 | 0.9 | 3.0 | 32.0 | 1.5 | 3.8 | 40.0 | 2.2 | 3.9 | 55.5 |
AIPW![]() ![]() |
![]() |
![]() |
15.1 |
![]() |
![]() |
22.2 |
![]() |
![]() |
29.8 |
![]() |
![]() |
43.2 | 0.0 | 0.2 | 21.0 | 1.0 | 3.0 | 31.8 | 1.6 | 4.1 | 39.8 | 1.9 | 3.4 | 55.6 |
AIPW![]() ![]() |
![]() |
![]() |
15.1 |
![]() |
![]() |
22.6 |
![]() |
![]() |
30.2 |
![]() |
![]() |
43.2 | 0.0 | 0.0 | 21.0 | 0.9 | 2.7 | 32.2 | 1.4 | 3.6 | 40.4 | 2.0 | 3.6 | 55.7 |
LI![]() ![]() |
![]() |
![]() |
15.3 |
![]() |
![]() |
21.8 |
![]() |
![]() |
28.7 |
![]() |
![]() |
40.5 | 0.1 | 0.5 | 21.2 | 1.1 | 3.5 | 31.0 | 4.8 | 12.6 | 37.9 | 7.0 | 13.6 | 51.4 |
LI![]() ![]() |
![]() |
![]() |
15.1 |
![]() |
![]() |
21.8 |
![]() |
![]() |
28.9 |
![]() |
![]() |
40.8 | 0.2 | 0.8 | 21.0 | 1.5 | 4.9 | 30.8 | 1.6 | 4.2 | 37.9 | 2.4 | 4.7 | 51.4 |
LI![]() ![]() |
![]() |
![]() |
15.2 |
![]() |
![]() |
22.0 |
![]() |
![]() |
29.7 |
![]() |
![]() |
41.4 | 0.2 | 0.8 | 21.1 | 1.4 | 4.6 | 31.2 | 1.8 | 4.5 | 39.0 | 2.4 | 4.6 | 52.4 |
MI![]() ![]() |
![]() |
![]() |
15.2 |
![]() |
![]() |
21.9 |
![]() |
![]() |
28.8 |
![]() |
![]() |
40.4 | 0.1 | 0.4 | 21.0 | 1.2 | 3.8 | 31.2 | 5.0 | 13.2 | 38.1 | 7.3 | 14.2 | 51.4 |
MI![]() ![]() |
![]() |
![]() |
15.2 |
![]() |
![]() |
21.8 | 1.3 | 4.5 | 29.0 | 1.7 | 4.2 | 41.0 | 0.4 | 1.7 | 21.1 | 1.7 | 5.5 | 30.8 | 1.3 | 3.5 | 37.9 | 1.6 | 3.2 | 51.5 |
MI![]() ![]() |
![]() |
![]() |
15.2 |
![]() |
![]() |
22.1 |
![]() |
![]() |
29.8 |
![]() |
![]() |
41.4 | 0.2 | 0.9 | 21.1 | 1.6 | 5.1 | 31.4 | 1.9 | 4.7 | 39.1 | 2.6 | 4.9 | 52.6 |
![]() ![]() ![]() | ||||||||||||||||||||||||
![]() ![]() ![]() | ||||||||||||||||||||||||
(b) Bias (![]() ![]() | ||||||||||||||||||||||||
Parameter |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
||||||||||||||||
bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | bias | s-bias | SE | |
CC![]() |
25.7 | 92.0 | 11.6 | 7.2 | 20.5 | 16.7 | 0.9 | 2.2 | 21.2 |
![]() |
![]() |
27.2 |
![]() |
![]() |
16.4 |
![]() |
![]() |
22.9 |
![]() |
![]() |
28.0 | 6.8 | 11.9 | 35.1 |
IEE¶ | 15.7 | 97.5 | 16.1 | 37.0 | 159.7 | 23.2 | 50.7 | 169.4 | 29.9 | 59.7 | 153.2 | 38.9 | 2.4 | 10.7 | 22.4 |
![]() |
![]() |
32.0 |
![]() |
![]() |
40.0 |
![]() |
![]() |
50.7 |
IPW![]() |
![]() |
![]() |
15.6 | 3.1 | 13.0 | 23.6 | 13.3 | 42.2 | 31.5 | 11.5 | 28.1 | 41.0 | 1.1 | 5.0 | 22.7 | 2.0 | 6.0 | 32.9 |
![]() |
![]() |
42.4 |
![]() |
![]() |
55.9 |
IPW![]() |
![]() |
![]() |
15.6 | 2.3 | 9.9 | 23.7 | 11.6 | 36.2 | 32.1 | 18.5 | 44.7 | 41.4 | 1.1 | 5.0 | 22.7 |
![]() |
![]() |
33.0 |
![]() |
![]() |
43.7 |
![]() |
![]() |
57.0 |
IPW![]() |
![]() |
![]() |
15.8 |
![]() |
![]() |
27.7 | 3.2 | 8.3 | 38.4 | 24.8 | 63.4 | 39.0 | 1.0 | 4.6 | 22.7 | 9.4 | 25.0 | 37.5 |
![]() |
![]() |
52.6 |
![]() |
![]() |
53.4 |
IPW![]() |
![]() |
![]() |
16.4 | 3.1 | 12.9 | 23.9 | 1.6 | 4.4 | 36.1 | 18.5 | 44.7 | 41.4 | 3.6 | 15.7 | 23.3 |
![]() |
![]() |
34.4 |
![]() |
![]() |
47.9 |
![]() |
![]() |
57.0 |
AIPW![]() |
![]() |
![]() |
14.8 | 1.9 | 8.7 | 22.3 | 9.2 | 31.2 | 29.6 | 18.5 | 46.1 | 40.2 | 1.0 | 4.9 | 20.5 | 0.4 | 1.5 | 30.3 |
![]() |
![]() |
39.0 |
![]() |
![]() |
51.7 |
AIPW![]() |
![]() |
![]() |
14.9 |
![]() |
![]() |
23.8 |
![]() |
![]() |
31.3 | 14.2 | 38.0 | 37.5 | 3.1 | 15.1 | 20.4 | 3.4 | 10.5 | 32.3 | 1.3 | 3.2 | 41.8 |
![]() |
![]() |
48.5 |
AIPW![]() |
![]() |
![]() |
15.5 |
![]() |
![]() |
23.0 |
![]() |
![]() |
32.8 | 14.8 | 37.8 | 39.2 | 5.6 | 26.8 | 21.0 | 2.2 | 6.9 | 31.7 | 0.8 | 1.9 | 42.5 |
![]() |
![]() |
51.2 |
LI![]() |
![]() |
![]() |
14.8 |
![]() |
![]() |
21.6 | 1.9 | 6.9 | 27.8 | 1.9 | 5.0 | 37.0 | 1.0 | 5.0 | 20.3 | 0.9 | 3.2 | 29.4 |
![]() |
![]() |
36.7 |
![]() |
![]() |
46.7 |
LI![]() |
![]() |
![]() |
14.9 |
![]() |
![]() |
21.9 |
![]() |
![]() |
28.5 | 13.9 | 37.5 | 37.0 | 3.1 | 15.2 | 20.3 | 2.9 | 9.8 | 29.6 | 2.1 | 5.8 | 37.0 |
![]() |
![]() |
46.7 |
LI![]() |
![]() |
![]() |
15.4 |
![]() |
![]() |
22.4 |
![]() |
![]() |
32.2 | 13.6 | 36.4 | 37.4 | 5.4 | 26.1 | 20.6 | 3.1 | 10.2 | 30.4 | 1.9 | 4.6 | 41.1 |
![]() |
![]() |
47.6 |
MI![]() |
![]() |
![]() |
14.8 |
![]() |
![]() |
21.7 | 0.7 | 2.4 | 28.0 | 0.3 | 0.7 | 37.1 | 0.9 | 4.3 | 20.4 | 0.9 | 3.0 | 29.6 |
![]() |
![]() |
37.1 |
![]() |
![]() |
46.9 |
MI![]() |
![]() |
![]() |
14.9 |
![]() |
![]() |
22.0 |
![]() |
![]() |
28.7 | 16.0 | 43.1 | 37.0 | 3.5 | 17.0 | 20.3 | 3.0 | 9.9 | 29.7 | 2.1 | 5.6 | 37.1 |
![]() |
![]() |
47.0 |
MI![]() |
![]() |
![]() |
15.3 |
![]() |
![]() |
22.4 |
![]() |
![]() |
32.2 | 14.1 | 37.5 | 37.5 | 5.5 | 26.6 | 20.6 | 3.2 | 10.7 | 30.3 | 2.1 | 5.1 | 41.3 |
![]() |
![]() |
47.7 |
![]() ![]() ![]() | ||||||||||||||||||||||||
¶bias, standardized bias, and standard error for all other methods: ![]() ![]() |