Skip to main content

Advertisement

Table 4 Coverage probability of the 95% confidence interval for the revised product-based estimator (ESRR) using a binomial variance

From: Evaluation of exposure-specific risks from two independent samples: A simulation study

Low exposure probability (.05)/Low disease probability in unexposed (.02)
  RR/ESR
Sample Size
(N1/N2)
1.0/.02 1.5/.03 2.0/.04 2.5/.05 3.0/.06 4.0/.08 5.0/.10
1,000/1,000 66.1 78.1 83.2 87.1 89.6 88.9 90.0
1,000/5,000 98.9 99.3 99.6 99.7 99.9 99.5 99.5
5,000/1,000 54.4 60.6 61.2 62.3 63.5 64.9 65.0
5,000/5,000 90.0 92.8 92.8 93.7 92.4 94.4 94.8
Low exposure probability (.05)/Moderate disease probability in unexposed (.09)
  RR/ESR
Sample Size
(N1/N2)
1.0/.09 1.5/.14 2.0/.18 2.5/.23 3.0/.27 4.0/.36 5.0/.45
1,000/1,000 90.4 91.6 93.2 92.4 92.2 92.0 91.5
1,000/5,000 99.9 100 100 100 99.9 99.7 99.3
5,000/1,000 62.8 63.8 63.9 63.7 62.1 61.6 62.7
5,000/5,000 93.8 93.4 94.2 93.5 93.7 93.6 91.6
High exposure probability (.20)/Low disease probability in unexposed (.02)
  RR/ESR
Sample Size
(N1/N2)
1.0/.02 1.5/.03 2.0/.04 2.5/.05 3.0/.06 4.0/.08 5.0/.10
1,000/1,000 89.1 91.2 91.8 92.6 91.5 92.5 93.8
1,000/5,000 99.7 99.1 99.4 99.0 98.0 98.8 98.1
5,000/1,000 63.9 68.0 64.7 69.3 70.7 70.5 71.9
5,000/5,000 92.1 94.0 95.1 94.8 94.3 94.5 93.5
High exposure probability (.20)/Moderate disease probability in unexposed (.09)
  RR/ESR
Sample Size
(N1/N2)
1.0/.09 1.5/.14 2.0/.18 2.5/.23 3.0/.27 4.0/.36 5.0/.45
1,000/1,000 92.5 93.2 95.1 94.5 92.6 90.7 86.7
1,000/5,000 99.9 99.7 98.9 98.8 98.2 97.3 95.5
5,000/1,000 66.0 68.3 69.7 69.0 64.4 66.6 66.0
5,000/5,000 94.0 94.0 93.2 94.0 91.9 92.0 88.9
  1. N1 is the sample the overall risk is derived from
  2. N2 is the sample the relative risk is derived from
  3. Relative Risk/Exposure-Specific Risk (RR/ESR) values are the hypothesized values
  4. Italics denote coverage probabilities that did not attain 95%