Cincinnati fan chiming in on Butch Jones. He didn't actually improve on Brian Kelly. Kelly had two outright Big East championships and took UC to two BCS bowls. Jones split his BE championships and never took us to a BCS bowl game. He's an ok coach but Kelly came in and won 10, 11 and 12 games with UC. Jones won 4, 10 and 10 and he never got UC back to the level that Kelly had us. That might not be fair since Kelly had us at our best ever but he was never a coach that excited UC all that much and even with Tuberville and a demotion to the AAC not many fans around here really miss Jones that much.
...but don't the arbitrary break points go a long way toward defining the analysis? If you combined the 0's and 1's you get an injury rate of 22.7% and combining the 2's and 3's you get an injury rate of 32% and your conclusions completely change (and combining the 2's and 3's to get comparable sample sizes probably makes sense here given the arbitrary nature of the cut points).
Considering the sample sizes of the 2's and 3's, I'm not sure you can really draw any conclusions from this. Moving two injuries from the 2 group to the 3 group would cause their injury percents to be very similar. What happens to the data if you make small changes to the cut points (instead of 1/2,1/3,1/5 maybe make them 1/3,1/4,1/5 or something).
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Cincinnati fan chiming in on Butch Jones. He didn't actually improve on Brian Kelly. Kelly had two outright Big East championships and took UC to two BCS bowls. Jones split his BE championships and never took us to a BCS bowl game. He's an ok coach but Kelly came in and won 10, 11 and 12 games with UC. Jones won 4, 10 and 10 and he never got UC back to the level that Kelly had us. That might not be fair since Kelly had us at our best ever but he was never a coach that excited UC all that much and even with Tuberville and a demotion to the AAC not many fans around here really miss Jones that much.