| Parameter values for the confounder-exposure and confounder-outcome associations | ||||||||
---|---|---|---|---|---|---|---|---|---|
0.14 | 0.39 | 0.59 | |||||||
\(\hat{\beta}\) | AB | RB | \(\hat{\beta}\) | AB | RB | \(\hat{\beta}\) | AB | RB | |
Scenario 1: correct specification of cx-association & correct specification of cy-association | |||||||||
Multivariable regression analysis | 0.5900 | 0.0000 | 0.0000 | 0.5900 | 0.0000 | 0.0000 | 0.5900 | 0.0000 | 0.0000 |
Covariate adjustment using the PS | 0.5901 | 0.0001 | 0.0001 | 0.5907 | 0.0007 | 0.0012 | 0.5909 | 0.0009 | 0.0015 |
Stabilized IPW | 0.5903 | 0.0003 | 0.0005 | 0.6030 | 0.0130 | 0.0220 | 0.6417 | 0.0517 | 0.0876 |
DR estimation | 0.5900 | 0.0000 | 0.0000 | 0.5900 | 0.0000 | 0.0000 | 0.5900 | 0.0000 | 0.0000 |
Scenario 2: correct specification of cx-association & misspecification of cy-association | |||||||||
Multivariable regression analysis | 0.6263 | 0.0363 | 0.0615 | 0.8051 | 0.2151 | 0.3646 | 0.9859 | 0.3959 | 0.6711 |
Covariate adjustment using the PS | 0.5901 | 0.0001 | 0.0001 | 0.5907 | 0.0007 | 0.0012 | 0.5909 | 0.0009 | 0.0015 |
Stabilized IPW | 0.5903 | 0.0003 | 0.0005 | 0.6030 | 0.0130 | 0.0220 | 0.6417 | 0.0517 | 0.0876 |
DR estimation | 0.5905 | 0.0005 | 0.0008 | 0.6064 | 0.0164 | 0.0278 | 0.6465 | 0.0565 | 0.0957 |
Scenario 3: misspecification of cx-association & correct specification of cy-association | |||||||||
Multivariable regression analysis | 0.5900 | 0.0000 | 0.0000 | 0.5900 | 0.0000 | 0.0000 | 0.5900 | 0.0000 | 0.0000 |
Covariate adjustment using the PS | 0.6267 | 0.0367 | 0.0622 | 0.8147 | 0.2247 | 0.3808 | 1.0155 | 0.4255 | 0.7212 |
Stabilized IPW | 0.6276 | 0.0376 | 0.0638 | 0.8339 | 0.2439 | 0.4134 | 1.0676 | 0.4776 | 0.8096 |
DR estimation | 0.5900 | 0.0000 | 0.0000 | 0.5900 | 0.0000 | 0.0000 | 0.5900 | 0.0000 | 0.0000 |
Scenario 4: misspecification of cx-association & misspecification of cy-association | |||||||||
Multivariable regression analysis | 0.6263 | 0.0363 | 0.0615 | 0.8051 | 0.2151 | 0.3646 | 0.9859 | 0.3959 | 0.6711 |
Covariate adjustment using the PS | 0.6267 | 0.0367 | 0.062 | 0.8147 | 0.2247 | 0.3808 | 1.0155 | 0.4255 | 0.7212 |
Stabilized IPW | 0.6276 | 0.0376 | 0.0638 | 0.8339 | 0.2439 | 0.4134 | 1.0676 | 0.4776 | 0.8096 |
DR estimation | 0.6273 | 0.0373 | 0.0533 | 0.8261 | 0.2361 | 0.4002 | 1.0456 | 0.4556 | 0.7723 |