Your idea made me curious so I had a look with my roster.
I considered two analysis:
A) FT Skill vs FTs/(FGA+k*FT/2)
where k is a number between 0 and 1 (1 is just the case you made). I considered different choices for k, since, as the GM said, the number of total FTs can be significantly different from the double of shooting fouls (namely, the number of "additional FGA" you must add is smaller).
B) FT Skill vs FTs/(FG Missed + k*FT/2)
A good player should make a lot of FGs, so his calculated ratio would be pretty low even if his FT skill is good. So, I considered only missed shots here (k is the same as before)
Results...not good, I fear.
http://img18.imageshack.us/img18/1340/catturaxs.jpgCorrelation value is 0.37 (0.57 if I delete the "outlier" at the top left corner of my graph, but with a so small sample even a player is significant), while the R-squared value is just 0.14 (0.32 witout the outlier).
Moreover, the player coloured by yellow in the graph only played 20 minutes in my season. If I delete him (after all, he didn't play enough, his data could be caused by random) both the correlation and R-squared stat fall (to 0.26 and 0.07 respectively).
Notice that this result is indipendent from the kind of analysis (A or B) and from the choice of the k value, (there is only a difference of 0.01-0.02, nearly, between the various values of correlation.)
Just to be sure, I added also your sample to mine (I used your graph, maybe the values were not exact but they should work). If I use both the samples together the correlation and R-squared both fall, again (corr=0.31, R^2=0.1)
After all, it's enough to see my graph to think there is no particular correlation. If you don't consider the yellow point, it seems just white noise to me. So i can only conclude there is no correlation between FT skill and the number of FTs.
Which is not strange, after all. If the shooter is not good at FTs, he won't look for them. But the defenders won't mind if they stop him with a foul...
Last edited by Paco el Niño de Piombo at 6/1/2011 5:08:35 AM