I received your annual report today. You claimed that 80% of your students go to college while only 40% of those in the community do. You told me its more likely your students go to college than become incarcerated, while it’s the opposite for the neighborhood you’re in. The same for teen pregnancy.
But the thing is, I don’t believe you.
It’s not that I don’t believe your numbers. I’m sure you are reporting them as honestly as you can. I just don’t believe that it was you who caused this difference in students’ lives. You’re suffering from the selection bias.
See, the students in your program are not a random sample from the community. While you’re open to everyone, not everyone shows up, just those that choose to. So you can’t compare yourself to the average of the community. Let’s think of it this way.
In year 1 the community has 10 students, 4 graduate high school. So the number you’re comparing too is 40%.
You start your program in year 2 but can only accept 5 students. Of the 5 students who show up to your program you notice that 4 graduate high school, a full 80%. Twice as much as the previous year. What you don’t realize is that no one else graduates high school (because the students with the will to succeed will seek out opportunities like yours to help them succeed). So for the community, 40% still graduate, you haven’t made any difference.
The selection bias is everywhere. There’s really no way around it other than to force people randomly in and out of your program. So be careful when comparing your statistics to the general statistics of your community.
Tomorrow I’ll talk about how to get me to believe your numbers.
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