moleculo
Footballguy
continuing a discussion from this thread - I was curious if there is a way to compare weekly variations between players...that is, assume you have two players rated equally during the pre-season, one might want to know player X is more consistent than player Y. I am still not sure if consistency is a good thing; that's a topic for further discussion.
Regardless, what I want to know is if a players variation can be statistically predicted for season N+1, based on seasons N, N-1, N-2, etc. If I can demonstrate that a weekly variance is similar to what he has done in the past, I can get a handle on how reliable this player will be this season.
So, I looked at some data going back to 2003 (I've been in the same MFL league since then and historical weekly data is readily available). Using some excel, I made a table with all players names in column A, and weekly production for 2003 week1, 2003 week2, 2003 week3, etc all the way through 2011 week16. Next, I ran a simple f-test, using 2003-2010 as population A and 2011 as population B. Obviously, this analysis doesn't work for rookies.
I found that out of 172 players, the 2011 variance was not significantly different for 148. That is, for 86% of all players I looked at, the 2011 standard deviation could be approximated by that players historical standard deviation. I think that's pretty cool.
Where this is applicable is discriminating between similarly ranked players. Say I have Marcus Colston and Brandon Marshall similarly rated (Dodds projects them just over a point apart). Which one do you draft? Well, Marshall has a career stdev of 8.4, and Colston has a career stdev of 7.62. From that, we can infer that in 2012, Colston is more likely to be consistent than Marshall will be.
now, this is not 100% reliable - it was good only 86% of the time for 2011. I still need to see how reliable it was heading into 2010, 2009, etc. And, as always, past results are no guarantee of future earnings and all that. I just thought this was interesting, maybe an analysis can spark someone more gifted with the statistics than I to work this a little better.
Regardless, what I want to know is if a players variation can be statistically predicted for season N+1, based on seasons N, N-1, N-2, etc. If I can demonstrate that a weekly variance is similar to what he has done in the past, I can get a handle on how reliable this player will be this season.
So, I looked at some data going back to 2003 (I've been in the same MFL league since then and historical weekly data is readily available). Using some excel, I made a table with all players names in column A, and weekly production for 2003 week1, 2003 week2, 2003 week3, etc all the way through 2011 week16. Next, I ran a simple f-test, using 2003-2010 as population A and 2011 as population B. Obviously, this analysis doesn't work for rookies.
I found that out of 172 players, the 2011 variance was not significantly different for 148. That is, for 86% of all players I looked at, the 2011 standard deviation could be approximated by that players historical standard deviation. I think that's pretty cool.
Where this is applicable is discriminating between similarly ranked players. Say I have Marcus Colston and Brandon Marshall similarly rated (Dodds projects them just over a point apart). Which one do you draft? Well, Marshall has a career stdev of 8.4, and Colston has a career stdev of 7.62. From that, we can infer that in 2012, Colston is more likely to be consistent than Marshall will be.
now, this is not 100% reliable - it was good only 86% of the time for 2011. I still need to see how reliable it was heading into 2010, 2009, etc. And, as always, past results are no guarantee of future earnings and all that. I just thought this was interesting, maybe an analysis can spark someone more gifted with the statistics than I to work this a little better.