EXAMPLE 2.42
Look at the data more carefully. Here are the counts broken down by week:
| Week 1 | Week 2 | |||
|---|---|---|---|---|
| Goal met | Alexis | Peyton | Alexis | Peyton |
| Yes | 162 | 19 | 10 | 99 |
| No | 18 | 1 | 10 | 81 |
| Total | 180 | 20 | 20 | 180 |
For Week 1, Alexis met the goal 90% of the time (162/180), while Peyton met the goal 95% of the time (19/20). Peyton had the better performance in Week 1. What about Week 2? Here, Alexis met the goal 50% of the time (10/20), while the success rate for Peyton was 55% (99/180). Peyton again had the better performance. How does this analysis compare with the analysis that combined the counts for the two weeks? That analysis clearly showed that Alexis had the better performance, 86% versus 59%.