Sample Size Calculations
| Scenario | Group | Proportions | π* | n | n1 = n2 | ||||
|---|---|---|---|---|---|---|---|---|---|
| Much Worse | Somewhat Worse | About the Same | Somewhat Better | Much Better | |||||
| 1 | No Label | 0 | 0 | 0.7 | 0.25 | 0.05 | 0.67 | 58 | 29 |
| Label | 0.1 | 0.1 | 0.7 | 0.1 | 0 | ||||
| 2 | No Label | 0 | 0.05 | 0.8 | 0.1 | 0.05 | 0.66 | 56 | 28 |
| Label | 0.1 | 0.15 | 0.7 | 0.05 | 0 | ||||
| 3 | No Label | 0 | 0 | 0.9 | 0.1 | 0 | 0.64 | 52 | 26 |
| Label | 0.1 | 0.1 | 0.8 | 0 | 0 | ||||
* Pr(no label > label) + 0.5 × Pr(no label = label) = competing probability that a nonlabeled individual has a better outcome than a labeled individual.