Table 4 Power of testing superiority of Z to NC for different total sample sizes under different sample allocation scenarios. Sample size is the total number of samples available in the new trial. \(p_{NC}\) is the probability of retreatment after beef cattle being treated with negative control. CEFTS is Ceftiofur Sodium; Z is the new treatment. Sample allocation shows the number of samples assigned to each treatment. For example, (30, 31, 59) means the number of samples assigned to NC, CEFTS, and Z are 30, 31, and 59
total sample size | \(p_{NC}\) | \(p_{CEFTS}\) | \(p_{Z}\) | sample allocation (NC, CEFTS, Z) | with existing network | superiority Z to NC |
|---|---|---|---|---|---|---|
60 | 0.681 | 0.4303 | 0.4303 | (20, 20, 20) | No | 31.97% |
60 | 0.681 | 0.4303 | 0.4303 | (20, 20, 20) | Yes | 45.37% |
60 | 0.681 | 0.4303 | 0.4303 | (10, 20, 30) | Yes | 47.81% |
120 | 0.681 | 0.4303 | 0.4303 | (40, 40, 40) | No | 64.48% |
120 | 0.681 | 0.4303 | 0.4303 | (40, 40, 40) | Yes | 74.43% |
120 | 0.681 | 0.4303 | 0.4303 | (30, 31, 59) | Yes | 78.13% |
180 | 0.681 | 0.4303 | 0.4303 | (60, 60, 60) | No | 80.56% |
180 | 0.681 | 0.4303 | 0.4303 | (60, 60, 60) | Yes | 89.54% |
180 | 0.681 | 0.4303 | 0.4303 | (61, 31, 88) | Yes | 92.89% |