Table 1.
Data generating model: unstratified | Data generating model: stratified | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Method | Unstratified | Stratified | Meta-analysis | Unstratified | Stratified | Meta-analysis | ||||||||
Pooled | Dist | Pooled | Dist | MulV | UniV | Pooled | Dist | Pooled | Dist | MulV | UniV | |||
; ; | ; ; | |||||||||||||
bias | 0.0035 | 0.0146 | 0.0033 | 0.0145 | 0.0026 | 0.0047 | bias | 0.0316 | 0.0168 | 0.0033 | 0.0143 | 0.0026 | 0.0046 | |
cr | 0.9542 | 0.9556 | 0.9523 | 0.9530 | 0.9525 | 0.9501 | cr | 0.9404 | 0.9711 | 0.9536 | 0.9519 | 0.9544 | 0.9518 | |
mae | 0.0785 | 0.0805 | 0.0796 | 0.0816 | 0.0794 | 0.0803 | mae | 0.0834 | 0.0818 | 0.0791 | 0.0811 | 0.0789 | 0.0799 | |
cios | 0.9500 | 0.9455 | 0.9470 | 0.9429 | 0.9470 | 0.9453 | cios | 0.9053 | 0.9141 | 0.9500 | 0.9462 | 0.9500 | 0.9483 | |
sse | 0.0985 | 0.0999 | 0.0999 | 0.1015 | 0.0997 | 0.1009 | sse | 0.0994 | 0.1011 | 0.0993 | 0.1008 | 0.0991 | 0.1004 | |
ese | 0.0992 | 0.1012 | 0.1005 | 0.1026 | 0.1004 | 0.1011 | ese | 0.0987 | 0.1031 | 0.1003 | 0.1023 | 0.1001 | 0.1009 | |
rse | 0.0984 | 0.1025 | rse | 0.0993 | 0.1161 | |||||||||
; ; | ; ; | |||||||||||||
bias | 0.0011 | 0.0066 | 0.0011 | 0.0065 | 0.0008 | 0.0018 | bias | 0.0344 | 0.0255 | 0.0009 | 0.0064 | 0.0006 | 0.0016 | |
cr | 0.9494 | 0.9498 | 0.9485 | 0.9505 | 0.9488 | 0.9483 | cr | 0.9189 | 0.9604 | 0.9469 | 0.9483 | 0.9470 | 0.9467 | |
mae | 0.0557 | 0.0565 | 0.0561 | 0.0568 | 0.0561 | 0.0565 | mae | 0.0628 | 0.0604 | 0.0562 | 0.0568 | 0.0562 | 0.0565 | |
cios | 0.9500 | 0.9480 | 0.9484 | 0.9466 | 0.9484 | 0.9475 | cios | 0.8898 | 0.9058 | 0.9500 | 0.9482 | 0.9500 | 0.9491 | |
sse | 0.0699 | 0.0704 | 0.0704 | 0.0708 | 0.0703 | 0.0708 | sse | 0.0707 | 0.0712 | 0.0704 | 0.0709 | 0.0703 | 0.0708 | |
ese | 0.0698 | 0.0704 | 0.0703 | 0.0709 | 0.0702 | 0.0705 | ese | 0.0695 | 0.0712 | 0.0701 | 0.0707 | 0.0701 | 0.0703 | |
rse | 0.0695 | 0.0708 | rse | 0.0701 | 0.0800 | |||||||||
; ; | ; ; | |||||||||||||
bias | 0.0002 | 0.0020 | 0.0002 | 0.0020 | 0.0001 | 0.0005 | bias | 0.0353 | 0.0304 | 0.0001 | 0.0019 | 0.0000 | 0.0004 | |
cr | 0.9542 | 0.9534 | 0.9532 | 0.9530 | 0.9532 | 0.9529 | cr | 0.8577 | 0.9224 | 0.9519 | 0.9511 | 0.9521 | 0.9529 | |
mae | 0.0320 | 0.0321 | 0.0320 | 0.0322 | 0.0320 | 0.0321 | mae | 0.0440 | 0.0413 | 0.0320 | 0.0321 | 0.0320 | 0.0321 | |
cios | 0.9500 | 0.9494 | 0.9494 | 0.9488 | 0.9494 | 0.9491 | cios | 0.8292 | 0.8629 | 0.9500 | 0.9494 | 0.9500 | 0.9497 | |
sse | 0.0400 | 0.0401 | 0.0401 | 0.0402 | 0.0400 | 0.0401 | sse | 0.0404 | 0.0406 | 0.0400 | 0.0401 | 0.0400 | 0.0401 | |
ese | 0.0401 | 0.0403 | 0.0403 | 0.0404 | 0.0402 | 0.0403 | ese | 0.0400 | 0.0404 | 0.0402 | 0.0403 | 0.0401 | 0.0402 | |
rse | 0.0401 | 0.0403 | rse | 0.0405 | 0.0455 |
cr: coverage rate; mae: mean absolute error; cios: confidence interval overlap statistics; sse: sample standard error; ese: estimated standard error; rse: robust standard error estimate.