I wrote about course form in general here.
However, I realized I didn’t really look into how to adjust the value of a player properly for this week. There are two factors that I think are real, if not very important: Experience on course(# of rounds), and whether the course suits a players skills*.
*As I have stated, these are very small. You can come very close to evaluating a player’s chances to win by just 2-year rankings. But, I’m going to try to get a little closer based on course history.
Experience
I think it would be pretty dumb to overlook the benefits of playing in a tournament multiple times. Knowledge of the course and greens and even things like familiarity traveling or staying in the same hotel are definitely things that could affect a players value. This is the first part of defining any course form.
I used the graph that compared each players number of rounds played at Firestone to their results relative to two-year average. Then I adjusted for the overall average of field. Doing this, I came up with a number to add to the players score for number of rounds played.
It ranged from -.08 for Phil Mickelson who has played 64 rounds on Firestone’s South Course to .02 for every player who has never played a round at Firestone*.
It’s important to remember that compared to the field this turns into around -.05 to Phil, and +.05 for zero rounds. The numbers above just came out of the equation I used, but when compared to the field turn into range from -.05 to .05. That’s about a range of .3 strokes per round.
Skill
This part gets a lot harder. The first thing I need to do is take out any effect that experience might have. So, I took course form and adjusted it based on the number of rounds played. So, Tiger, based on his performance at Firestone can be expected to be about -.1 standard deviations better here, but since he’s played 44 rounds that accounts for about .04 of it. That means Tiger gets about a .06 bonus for his actual skills relating to the course*.
*At this point I’m assuming that Tiger any relationship is related to skill and not just variance. There is about a 5% chance that a player of Tiger’s caliber would play that far above average in one random tournament over 44 rounds. So, this could just as easily be randomness.
The second thing we need to do is standardize all the course performance numbers. For example, Hunter Mahan in 4 rounds has an average of -.77 which is significantly above his average. That gives him a huge bonus in my equation, but which is more impressive: Tiger who has played to about a -1.13 average(given strength of field, that’s probably .3 above average for him) in 44 rounds or Mahan, who had one good week? Obviously, Tiger.
In four rounds a players average can vary much more than in forty. So I took a players relative score to average, than standardized it based on the standard deviation of averages based on the rounds they had played. Tiger was around -2.7 standard deviations better than average performance. Mahan was only around -1.5. By doing this we can get a better feeling for how each player actually achieved at Firestone.
Finally, I took all that, through it into a few equations and here are the Odds I came up with for the week:
2-YEAR
| Tiger Woods | 18.6638% | 436 |
| Steve Stricker | 6.9867% | 1331 |
| Phil Mickelson | 4.4985% | 2123 |
| Lee Westwood | 4.3714% | 2188 |
| Jim Furyk | 4.3067% | 2222 |
| Paul Casey | 3.1313% | 3094 |
| Anthony Kim | 2.5207% | 3867 |
| Retief Goosen | 2.1180% | 4622 |
| Dustin Johnson | 1.9995% | 4901 |
| Camilo Villegas | 1.9417% | 5050 |
| Padraig Harrington | 1.9094% | 5137 |
| Zach Johnson | 1.9066% | 5145 |
| Ernie Els | 1.8899% | 5191 |
| Hunter Mahan | 1.8727% | 5240 |
| Sergio Garcia | 1.7298% | 5681 |
| Geoff Ogilvy | 1.6812% | 5848 |
| Rory McIlroy | 1.6659% | 5903 |
| Ian Poulter | 1.6563% | 5937 |
| Luke Donald | 1.5498% | 6352 |
| Henrik Stenson | 1.5460% | 6368 |
| Kenny Perry | 1.5326% | 6425 |
| Matt Kuchar | 1.5308% | 6433 |
| Tim Clark | 1.5149% | 6501 |
| Robert Allenby | 1.5093% | 6526 |
| Sean O’Hair | 1.4208% | 6938 |
| Justin Rose | 1.3216% | 7467 |
| Lucas Glover | 1.2908% | 7647 |
| J.B. Holmes | 1.2692% | 7779 |
| Ross Fisher | 1.2136% | 8140 |
| Ryan Moore | 1.1762% | 8402 |
| Mike Weir | 1.0739% | 9212 |
| Ben Curtis | 0.9952% | 9948 |
| Martin Kaymer | 0.9133% | 10850 |
| Robert Karlsson | 0.8375% | 11840 |
| Vijay Singh | 0.7938% | 12498 |
| K.J. Choi | 0.7793% | 12733 |
| Graeme McDowell | 0.7614% | 13033 |
| Angel Cabrera | 0.7512% | 13213 |
| Bubba Watson | 0.7399% | 13414 |
| Louis Oosthuizen | 0.7252% | 13689 |
| Jason Day | 0.7201% | 13787 |
| Ben Crane | 0.7055% | 14075 |
| Y.E. Yang | 0.6660% | 14916 |
| Soren Hansen | 0.6443% | 15421 |
| Miguel Angel Jimenez | 0.6380% | 15573 |
| Adam Scott | 0.6221% | 15976 |
| Bill Haas | 0.5679% | 17508 |
| Justin Leonard | 0.5441% | 18279 |
| Chad Campbell | 0.4837% | 20576 |
| Ryo Ishikawa | 0.4819% | 20652 |
| Jason Bohn | 0.4718% | 21095 |
| Alexander Noren | 0.3981% | 25018 |
| Boo Weekley | 0.3822% | 26067 |
| Ryan Palmer | 0.3047% | 32722 |
| Oliver Wilson | 0.3010% | 33119 |
| Troy Matteson | 0.2753% | 36220 |
| Ross McGowan | 0.2328% | 42861 |
| Stewart Cink | 0.2253% | 44287 |
| Heath Slocum | 0.2228% | 44775 |
| Martin Laird | 0.1955% | 51040 |
| Simon Dyson | 0.1918% | 52044 |
| Edoardo Molinari | 0.1662% | 60080 |
| Gregory Bourdy | 0.1591% | 62743 |
| James Kingston | 0.0949% | 105236 |
| Marcus Fraser | 0.0751% | 133128 |
| David Horsey | 0.0680% | 147020 |
| Hennie Otto | 0.0234% | 426563 |
| Yuta Ikeda | 0.0136% | 735639 |
| Katsumasa Miyamota | 0.0136% | 735639 |
| Simon Khan | 0.0108% | 926958 |
| Michael Jonzon | 0.0046% | 2173721 |
COURSE EXP AND FORM ADJUSTED
| Tiger Woods | 27.2507% | 267 |
| Steve Stricker | 5.9276% | 1587 |
| Phil Mickelson | 5.3998% | 1752 |
| Jim Furyk | 5.3067% | 1784 |
| Paul Casey | 3.7472% | 2569 |
| Lee Westwood | 3.3262% | 2906 |
| Ernie Els | 2.1829% | 4481 |
| Sergio Garcia | 2.1652% | 4518 |
| Zach Johnson | 2.1317% | 4591 |
| Ian Poulter | 2.0947% | 4674 |
| Hunter Mahan | 2.0338% | 4817 |
| Anthony Kim | 1.9869% | 4933 |
| Vijay Singh | 1.7804% | 5517 |
| Padraig Harrington | 1.7710% | 5546 |
| Henrik Stenson | 1.7608% | 5579 |
| Retief Goosen | 1.6466% | 5973 |
| Luke Donald | 1.6408% | 5994 |
| Robert Allenby | 1.5636% | 6296 |
| Dustin Johnson | 1.5591% | 6314 |
| Kenny Perry | 1.5310% | 6432 |
| Justin Rose | 1.4924% | 6600 |
| Camilo Villegas | 1.3520% | 7297 |
| Mike Weir | 1.2231% | 8076 |
| Lucas Glover | 1.1688% | 8456 |
| Geoff Ogilvy | 1.1308% | 8743 |
| Angel Cabrera | 0.9857% | 10045 |
| J.B. Holmes | 0.8823% | 11234 |
| Justin Leonard | 0.8556% | 11588 |
| Rory McIlroy | 0.8498% | 11667 |
| Tim Clark | 0.8324% | 11913 |
| Sean O’Hair | 0.8283% | 11973 |
| Ross Fisher | 0.7233% | 13725 |
| K.J. Choi | 0.6583% | 15090 |
| Matt Kuchar | 0.6514% | 15251 |
| Adam Scott | 0.6513% | 15255 |
| Ryan Moore | 0.6431% | 15451 |
| Ben Curtis | 0.6121% | 16238 |
| Y.E. Yang | 0.5190% | 19167 |
| Miguel Angel Jimenez | 0.5187% | 19178 |
| Stewart Cink | 0.5033% | 19769 |
| Ben Crane | 0.4833% | 20591 |
| Graeme McDowell | 0.4349% | 22894 |
| Robert Karlsson | 0.4177% | 23841 |
| Ryan Palmer | 0.4096% | 24315 |
| Chad Campbell | 0.4074% | 24449 |
| Bubba Watson | 0.3458% | 28819 |
| Jason Day | 0.3403% | 29285 |
| Martin Kaymer | 0.3361% | 29654 |
| Louis Oosthuizen | 0.3253% | 30639 |
| Oliver Wilson | 0.3068% | 32491 |
| Bill Haas | 0.2970% | 33566 |
| Soren Hansen | 0.2598% | 38391 |
| Ryo Ishikawa | 0.2486% | 40118 |
| Boo Weekley | 0.2418% | 41248 |
| Jason Bohn | 0.2253% | 44285 |
| Alexander Noren | 0.2207% | 45202 |
| Troy Matteson | 0.1759% | 56764 |
| Ross McGowan | 0.1124% | 88888 |
| Heath Slocum | 0.0998% | 100073 |
| Martin Laird | 0.0970% | 102972 |
| Simon Dyson | 0.0794% | 125893 |
| Gregory Bourdy | 0.0755% | 132368 |
| Edoardo Molinari | 0.0463% | 215676 |
| James Kingston | 0.0334% | 299233 |
| Marcus Fraser | 0.0300% | 333271 |
| David Horsey | 0.0271% | 368415 |
| Hennie Otto | 0.0147% | 678578 |
| Yuta Ikeda | 0.0070% | 1427314 |
| Katsumasa Miyamota | 0.0070% | 1427314 |
| Simon Khan | 0.0039% | 2546173 |
| Michael Jonzon | 0.0016% | 6442087 |
Why the big jump for Troy Matteson? From what I can tell on PGATour.com, he’s only played this event once and finished 51st.
That’s probably a mistake. I’ll check it at some point and update.
Some kind of copy/paste error on my part. Not sure how it happened but chart is updated.