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Per 40/Efficiency Stats
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<blockquote data-quote="ILLHangOut" data-source="post: 1352242" data-attributes="member: 176496"><p>So far this season we have:</p><p>League FTA = 44,407</p><p>League PF = 39,710</p><p>League Minutes = 84,180</p><p></p><p>Which calculates a baseline for the NCAA of:</p><p>0.90 PF per FTA</p><p>0.47 PF per game minute</p><p>0.09 PF per player minute</p><p></p><p>This conveniently calculates to an average of 19 PF per team per 40 minute game for the NCAA.This is convenient because each additional foul accumulated greater than this rate is projected in the double bonus, and counts as 2 FTAs for either himself or another player on his team. </p><p></p><p>Mark Smith this season draws a projected 0.17 PFs per minute played; twice the NCAA baseline. This implies then that every 13 minutes he plays he is drawing 1 additional foul beyond the baseline which contributes 2 FTs to his team at some point in the game.</p><p></p><p>PER uses the factor below for FTs:</p><p> + (FT *0.5 * (1 + (1 - (team_AST / team_FG)) + (2/3) * (team_AST / team_FG)))</p><p></p><p>I think we can adapt this for the double bonus contribution by replacing player FT with:</p><p>(FT + TeamFT% * 2* ((FTA * LgPF / LgFTA) - (MP * LgPF / LgMin / 5)))</p><p></p><p>For Mark Smith this adds 0.1 to his UNSTANDARDIZED PER. Since PER is standardized on 15 being average, and I'm too tired to calculate his whole PER to deduce the standardization factor, I guess it doesn't have much meaning.</p><p></p><p><a href="https://www.basketball-reference.com/about/per.html" target="_blank">https://www.basketball-reference.com/about/per.html</a></p></blockquote><p></p>
[QUOTE="ILLHangOut, post: 1352242, member: 176496"] So far this season we have: League FTA = 44,407 League PF = 39,710 League Minutes = 84,180 Which calculates a baseline for the NCAA of: 0.90 PF per FTA 0.47 PF per game minute 0.09 PF per player minute This conveniently calculates to an average of 19 PF per team per 40 minute game for the NCAA.This is convenient because each additional foul accumulated greater than this rate is projected in the double bonus, and counts as 2 FTAs for either himself or another player on his team. Mark Smith this season draws a projected 0.17 PFs per minute played; twice the NCAA baseline. This implies then that every 13 minutes he plays he is drawing 1 additional foul beyond the baseline which contributes 2 FTs to his team at some point in the game. PER uses the factor below for FTs: + (FT *0.5 * (1 + (1 - (team_AST / team_FG)) + (2/3) * (team_AST / team_FG))) I think we can adapt this for the double bonus contribution by replacing player FT with: (FT + TeamFT% * 2* ((FTA * LgPF / LgFTA) - (MP * LgPF / LgMin / 5))) For Mark Smith this adds 0.1 to his UNSTANDARDIZED PER. Since PER is standardized on 15 being average, and I'm too tired to calculate his whole PER to deduce the standardization factor, I guess it doesn't have much meaning. [url]https://www.basketball-reference.com/about/per.html[/url] [/QUOTE]
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