Table 1 Model results, by correlation and estimation method
From: Assessment of the E-value in the presence of bias amplification: a simulation study
\(\rho\) | All confounders | No confounders | Observed confounder | IPTW | PSM caliper 0.001 | |||||
|---|---|---|---|---|---|---|---|---|---|---|
\(\widehat{{\beta }_{T}}\) | RR | \(\widehat{{\beta }_{T}}\) | RR | \(\widehat{{\beta }_{T}}\) | RR | \(\widehat{{\beta }_{T}}\) | RR | \(\widehat{{\beta }_{T}}\) | RR | |
0 | 0.197 (0.057) | 1.069 (0.021) | 0.310 (0.043) | 1.110 (0.016) | 0.262 (0.048) | 1.092 (0.018) | 0.263 (0.049) | 1.093 (0.018) | 0.267 (0.064) | 1.095 (0.024) |
0.1 | 0.202 (0.057) | 1.071 (0.020) | 0.327 (0.041) | 1.117 (0.016) | 0.258 (0.049) | 1.091 (0.018) | 0.261 (0.053) | 1.092 (0.019) | 0.263 (0.072) | 1.094 (0.027) |
0.2 | 0.206 (0.064) | 1.072 (0.023) | 0.343 (0.042) | 1.123 (0.016) | 0.258 (0.057) | 1.091 (0.021) | 0.260 (0.071) | 1.091 (0.027) | 0.262 (0.090) | 1.092 (0.033) |
0.3 | 0.202 (0.067) | 1.070 (0.024) | 0.358 (0.041) | 1.129 (0.016) | 0.247 (0.062) | 1.086 (0.023) | 0.271 (0.108) | 1.097 (0.040) | 0.264 (0.142) | 1.093 (0.053) |
0.4 | 0.198 (0.073) | 1.069 (0.027) | 0.370 (0.042) | 1.133 (0.016) | 0.233 (0.069) | 1.082 (0.025) | 0.287 (0.110) | 1.102 (0.041) | 0.239 (0.154) | 1.084 (0.057) |
0.5 | 0.201 (0.074) | 1.070 (0.027) | 0.383 (0.043) | 1.138 (0.017) | 0.224 (0.073) | 1.078 (0.027) | 0.314 (0.109) | 1.112 (0.041) | 0.242 (0.173) | 1.085 (0.064) |
0.6 | 0.201 (0.080) | 1.070 (0.029) | 0.393 (0.043) | 1.142 (0.017) | 0.217 (0.079) | 1.076 (0.029) | 0.342 (0.108) | 1.122 (0.041) | 0.246 (0.195) | 1.086 (0.072) |
0.7 | 0.200 (0.085) | 1.070 (0.031) | 0.401 (0.043) | 1.145 (0.017) | 0.206 (0.085) | 1.072 (0.031) | 0.366 (0.097) | 1.131 (0.038) | 0.236 (0.233) | 1.081 (0.087) |
0.8 | 0.200 (0.086) | 1.070 (0.031) | 0.414 (0.043) | 1.150 (0.017) | 0.203 (0.086) | 1.070 (0.031) | 0.384 (0.089) | 1.138 (0.035) | 0.217 (0.309) | 1.074 (0.119) |
0.9 | 0.204 (0.084) | 1.071 (0.030) | 0.426 (0.043) | 1.155 (0.017) | 0.205 (0.084) | 1.071 (0.030) | 0.411 (0.070) | 1.148 (0.027) | 0.235 (0.491) | 1.079 (0.188) |