Table 2 Observed relative bias for the simple product-based estimator (ESRS) and the revised product-based estimator (ESRR)
From: Evaluation of exposure-specific risks from two independent samples: A simulation study
Low exposure probability (.05)/Low disease probability in unexposed (.02) | ||||
|---|---|---|---|---|
N1 = 1,000, N2 = 1,000 | N1 = 5,000, N2 = 5,000 | |||
RR/ESR | ESRS | ESRR | ESRS | ESRR |
1.0/.02 | 9.5% | 3.9% | -1.4% | -2.3% |
2.0/.04 | 7.8% | -2.6% | 4.5% | -1.4% |
3.0/.06 | 18.0% | 1.8% | 12.2% | 0.8% |
4.0/.08 | 21.1% | 0.0% | 17.6% | 1.1% |
5.0/.10 | 31.4% | 3.4% | 22.6% | 1.0% |
Low exposure probability (.05)/Moderate disease probability in unexposed (.09) | ||||
N1 = 1,000, N2 = 1,000 | N1 = 5,000, N2 = 5,000 | |||
RR/ESR | ESRS | ESRR | ESRS | ESRR |
1.0/.09 | 0.1% | -0.9% | 0.9% | 0.6% |
2.0/.18 | 6.1% | 0.1% | 5.5% | 0.3% |
3.0/.27 | 9.2% | -1.4% | 10.4% | 0.2% |
4.0/.36 | 16.6% | 0.4% | 15.9% | 0.5% |
5.0/.45 | 22.0% | 0.7% | 21.2% | 0.8% |
High exposure probability (.20)/Low disease probability in unexposed (.02) | ||||
N1 = 1,000, N2 = 1,000 | N1 = 5,000, N2 = 5,000 | |||
RR/ESR | ESRS | ESRR | ESRS | ESRR |
1.0/.02 | 8.7% | 1.1% | -0.2% | -1.3% |
2.0/.04 | 26.3% | -1.4% | 21.4% | -0.1% |
3.0/.06 | 45.0% | -1.8% | 41.7% | 0.1% |
4.0/.08 | 73.3% | 1.2% | 61.6% | 0.1% |
5.0/.10 | 93.9% | 0.3% | 82.5% | 0.0% |
High exposure probability (.20)/Moderate disease probability in unexposed (.09) | ||||
N1 = 1,000, N2 = 1,000 | N1 = 5,000, N2 = 5,000 | |||
RR/ESR | ESRS | ESRR | ESRS | ESRR |
1.0/.09 | -0.8% | -0.4% | -1.1% | -1.0% |
2.0/.18 | 22.6% | 0.7% | 20.4% | 0.2% |
3.0/.27 | 40.9% | -0.2% | 40.3% | 0.0% |
4.0/.36 | 63.6% | 0.7% | 60.6% | 0.1% |
5.0/.45 | 82.6% | 0.2% | 81.0% | 0.2% |