EXAMPLE 2.29 Let’s Look at the Data More Carefully
Here are the counts broken down by week:
| Week 1 | Week 2 | |||
|---|---|---|---|---|
| Goal met | Ashley | Joshua | Ashley | Joshua |
| Yes | 162 | 19 | 10 | 99 |
| No | 18 | 1 | 10 | 81 |
| Total | 180 | 20 | 20 | 180 |
For Week 1, Ashley met the goal 90% of the time (162/180), while Joshua met the goal 95% of the time (19/20). Joshua had the better performance in Week 1. What about Week 2? Here, Ashley met the goal 50% of the time (10/20), while the success rate for Joshua was 55% (99/180). Joshua 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 Ashley had the better performance, 86% versus 59%.