12-05-2014, 09:56 PM
As a "mathlete" one would have hoped Mr. Urschel would have been aware of his sample size problem.
Comparing a sample of 64 with 3,420 poses a few problems for comparing proportions. In the football player sample a shift of 1 player across categories would lead to a 3% shift in differences across categories suggesting the statistical "significance" is not particularly meaningful. Further,there's no a-priori reason to believe the sample of football players would be representative of the full student body; as an obvious example, women probably represent more than half of the student body, yet there are none on the football team. Point being that pulling out any relatively homogeneous group from the whole will yield differences. You know what they say about statistics and lies...ð
Comparing a sample of 64 with 3,420 poses a few problems for comparing proportions. In the football player sample a shift of 1 player across categories would lead to a 3% shift in differences across categories suggesting the statistical "significance" is not particularly meaningful. Further,there's no a-priori reason to believe the sample of football players would be representative of the full student body; as an obvious example, women probably represent more than half of the student body, yet there are none on the football team. Point being that pulling out any relatively homogeneous group from the whole will yield differences. You know what they say about statistics and lies...ð