At heart I am a numbers guy so I thought I would dig into this.
NCAA
ISU .685
Best team
Nova .814 (delta -.129)
Worst team
Army .589 (delta +.096)
I am too lazy to calculate the mean of all the teams but the mean between the top and bottom two teams is .702 (delta -.017).
If we throw out the top 10 and bottom 10 which tend to be a bit of outliers the mean between 11th best and 11th worst is .709 (delta -.024)
Big 12 Teams (all games)
ISU .685
Best team
TTU .776 (delta -.091)
Worst team
OSU .676 (delta +.009)
Mean percentage (4296/5985) .718 (delta -.033)
Big 12 (conference games only)
ISU .667
Best team
TTU .767 (delta -.100)
Worst team
ISU .667
Mean percentage (1651/2307) .716 (delta -.049)^
Ave FT per team per game (2307/122 team games) 18.91
Discounting missed front ends of 1 and 1s* which all teams have from time to time ISU is missing out on:
1.891 points to TTU
0.927 points to the league average
ISU actually goes to the line 21.38 times per game so those missed points are actually:
2.138 points to TTU
1.048 points to the league average
*I looked at missed front ends of 1 and 1s, but it is too difficult to calculate without digging into individual box scores. In a game there are a maximum of 6 opportunities (fouls 7, 8 and 9 in both the first and second half) which are decreased by each half that ISU doesn't get to 9 fouls drawn and each 7, 8 or 9th foul that is a shooting or flagrant foul (2 or 3 shot foul). So if ISU reached that maximum in a game they would likely be missing out on an additional 0.460 points [6 x .100 (to get the extra shot) x .767 (to make the extra shot)] to TTU and 0.211 (6 x .049 x .716) to the league average.
^Note that ISU's 'FT defense' has opposing teams hitting .707 (tied for 5th) of shots. That is .009 better than the league mean. It is arguable how much of that is who ISU has played and how much is the effect ISU's defense has on the physical and mental state of players who go to the line against ISU. Houston (the #1 defense) has the best 'FT defense' in the league at .670.
Take from this what you will.
An interesting anomoly I encountered. BYU is far and away the worst team getting to the line in Big 12 play. Not terribly surprising when you consider how many 3 pointers they attempt. They have been to the line 109 times (13.625 per game) while the next lowest average is Tech at 146 (18.25). BYU earned 24 of their trips to the line in one game - the ISU game. That is 22% of their conference FT trips in 12.5% of their games. It will be interesting to see what happens in Hilton.
EDIT: Corrected calculation on 1 and 1 points to include both the increased chance of getting the extra shot and the actual percentage chance of making the extra shot. The chance of making the extra shot was initially omitted. Also added details about 'FT defense'.
NCAA
ISU .685
Best team
Nova .814 (delta -.129)
Worst team
Army .589 (delta +.096)
I am too lazy to calculate the mean of all the teams but the mean between the top and bottom two teams is .702 (delta -.017).
If we throw out the top 10 and bottom 10 which tend to be a bit of outliers the mean between 11th best and 11th worst is .709 (delta -.024)
Big 12 Teams (all games)
ISU .685
Best team
TTU .776 (delta -.091)
Worst team
OSU .676 (delta +.009)
Mean percentage (4296/5985) .718 (delta -.033)
Big 12 (conference games only)
ISU .667
Best team
TTU .767 (delta -.100)
Worst team
ISU .667
Mean percentage (1651/2307) .716 (delta -.049)^
Ave FT per team per game (2307/122 team games) 18.91
Discounting missed front ends of 1 and 1s* which all teams have from time to time ISU is missing out on:
1.891 points to TTU
0.927 points to the league average
ISU actually goes to the line 21.38 times per game so those missed points are actually:
2.138 points to TTU
1.048 points to the league average
*I looked at missed front ends of 1 and 1s, but it is too difficult to calculate without digging into individual box scores. In a game there are a maximum of 6 opportunities (fouls 7, 8 and 9 in both the first and second half) which are decreased by each half that ISU doesn't get to 9 fouls drawn and each 7, 8 or 9th foul that is a shooting or flagrant foul (2 or 3 shot foul). So if ISU reached that maximum in a game they would likely be missing out on an additional 0.460 points [6 x .100 (to get the extra shot) x .767 (to make the extra shot)] to TTU and 0.211 (6 x .049 x .716) to the league average.
^Note that ISU's 'FT defense' has opposing teams hitting .707 (tied for 5th) of shots. That is .009 better than the league mean. It is arguable how much of that is who ISU has played and how much is the effect ISU's defense has on the physical and mental state of players who go to the line against ISU. Houston (the #1 defense) has the best 'FT defense' in the league at .670.
Take from this what you will.
An interesting anomoly I encountered. BYU is far and away the worst team getting to the line in Big 12 play. Not terribly surprising when you consider how many 3 pointers they attempt. They have been to the line 109 times (13.625 per game) while the next lowest average is Tech at 146 (18.25). BYU earned 24 of their trips to the line in one game - the ISU game. That is 22% of their conference FT trips in 12.5% of their games. It will be interesting to see what happens in Hilton.
EDIT: Corrected calculation on 1 and 1 points to include both the increased chance of getting the extra shot and the actual percentage chance of making the extra shot. The chance of making the extra shot was initially omitted. Also added details about 'FT defense'.
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