Thursday, May 17, 2012

French Open 2012 - Part 2

In today's post, I am continuing my picks for the French Open champions.  You can read the first part here.

First, let's look at each champion's best previous performance at the French Open:

French Open Champions
Previous Best FO Result    # of Men's Champions # of Women's Champions 
Winner
7
3
Runner-up
2
3
Semifinals
0
2
Quarterfinals
1 (Costa)
2
4R
1 (Gaudio)
1 (Li Na)
2R
0
1 (Myskina)
Did Not Play
1*
0

*Rafael Nadal won the first French Open he played, in 2005.  

Of the men that I have not yet eliminated, Federer and Nadal have both won the French Open, Murray made the semifinals, and Tsonga has never been past the 4th round.  Because all of the champions since 2000 (except Gaudio) have been to at least the quarterfinals, I am eliminating Tsonga.  This leaves me with:
  1. Novak Djokovic (#1 seed but not defending champ, AO Winner)
  2. Roger Federer
  3. Rafael Nadal
  4. Andy Murray
  5. Jo-Wilfried Tsonga (never previously to QF)
For the women, 10 of the past 12 winners have previously been to the quarterfinals.  Using this as a guideline, I am eliminating Radwanska and Kvitova (neither has been past the 4th round).  Note that Li Na had never been to the quarterfinals previously until she won the French Open last year.  This leaves:
  1. Victoria Azarenka (#1 seed but not defending champ)
  2. Maria Sharapova
  3. Agnieszka Radwanska  (never previously to QF)
  4. Petra Kvitova  (never previously to QF)
  5. Samantha Stosur (1R)
  6. Serena Williams
  7. Marion Bartoli (3R)
  8. Carolina Wozniacki
  9. Li Na
  10. Vera Zvonareva (3R)
Next, let's look at the number of clay court warm-up tournaments won by the eventual champion in his/her winning year.  The plots below show bar plots of the number of warm-up tournaments won by men (top) and women (bottom).
The 2 men who did not win a warm-up tournament were both ranked outside of the top 20 when they won (Costa, Gaudio).  Because I am only considering men ranked in the top 5, I will require that my pick wins at least one warm-up tournament.  Federer and Nadal have both won clay court warm-ups this year, but Murray did not (he just lost in the final warm-up of the year).  This leaves me to choose between Federer and Nadal.

For the women, 4 of the 12 did not win warm-ups.  However, 3 of these 4 were finalists at the Australian Open (Henin, Ivanovic, Li) in the same year.  So I will require that my pick either has won a warm-up or was a finalist at this year's Australian Open (Sharapova).  This eliminates Wozniacki and Li (assuming she does not win this week), leaving Sharapova (AO finalist) and Williams (2 warm-up wins).

Now it is time to pick my favorite to win this year's French Open.

Federer vs. Nadal: Nadal has only lost once at the French Open, winning 6 of the last 7 championships.  Federer is on a hot streak of his own, going 47-3 since last year's US Open and winning 7 of his last 10 tournaments.  Federer has never beaten Nadal at the French Open, winning his only championship when Nadal was eliminated by Soderling.  Because Federer has not won a grand slam in over 2 years and Nadal has only lost once at the French Open, I am going to pick Rafael Nadal.

Sharapova vs. Serena Williams: Serena has yet to lose a clay court match this year, winning 2 tournaments and still playing in another.  Given that she also won the French Open in 2002, I am assuming that she will be the overwhelming favorite on the women's side this year.  However, Serena was in a similar position going into last year's US Open, then lost in the Finals to Stosur, a player who had never won a grand slam and who Serena had beaten a few weeks previously.  Sharapova is the number 2 player in the world, reaching the finals of Wimbledon and the Australian Open.  However, in both finals she lost to players who had never been in a grand slam final before.  So its safe to say that both players have a lot on the line at the French Open.  Serena has had some bad loses in the past at the French Open (although she was out with injury last year), and last year Sharapova made the semifinals.  Because of better results at the French Open in the past few years and the consistent grand slam performances in the past year, I am going with the upset and picking Maria Sharapova. 

I realize that I made my conclusions using a lot of subjective opinion.  If I have the time, I hope to build a model to predict this year's champions and compare to the picks that I just made.

Tuesday, May 15, 2012

French Open 2012 - Part 1

It's already the middle of May, which means that the French Open is right around the corner.  In this week's posts, I will make my predictions for the men's and women's 2012 French Open Champions.  I will be looking at the results since 2000 to determine the player who I think is most likely to win.  Let's start by looking at the seed for the winner:

French Open Champions
Year    Men's Seed Women's Seed
2000
Gustavo Kuerten
5
Mary Pierce
6
2001
Gustavo Kuerten
1
Jennifer Capriati
3
2002
Albert Costa
22
Serena Williams
3
2003
Juan Carlos Ferrero
3
Justine Henin
4
2004
Gaston Gaudio
44
Anastasia Myskina
6
2005
Rafael Nadal
5
Justine Henin
10
2006
Rafael Nadal
2
Justine Henin
5
2007
Rafael Nadal
2
Justine Henin
1
2008
Rafael Nadal
2
Ana Ivanovic
2
2009
Roger Federer
2
Svetlana Kuznetsova
7
2010
Rafael Nadal
2
Francesca Schiavone
17
2011
Rafael Nadal
1
Li Na
6

10 of the past 12 men's champions have been seeded 5 or higher.  Using this as our cutoff, this leaves the following players as possible winners this year (by current world ranking):
  1. Novak Djokovic
  2. Roger Federer
  3. Rafael Nadal
  4. Andy Murray
  5. Jo-Wilfried Tsonga
Djokovic, Federer, and Nadal have won 27 of the past 28 Grand Slam tournaments (Del Porto won the 2009 US Open), but we won't eliminate Murray and Tsonga quite yet.

11 of the past 12 women's champions were seeded in the top 10.  Using the current world rankings, this leaves the following players:
  1. Victoria Azarenka
  2. Maria Sharapova
  3. Agnieszka Radwanska
  4. Petra Kvitova
  5. Samantha Stosur
  6. Serena Williams
  7. Marion Bartoli
  8. Carolina Wozniacki
  9. Li Na
  10. Vera Zvonareva
Also note that Kuerten, Nadal, and Henin are the only players since 2000 to have won the French Open as the number 1 seed.  Each time, they were the defending champion.  Since it looks like Djokovic and Azarenka will receive the number 1 seeds and neither won the French Open last year, we will eliminate them from out list.

Now let's look at each champion's performance in that year's Australian Open (the most recent Grand Slam).
French Open Champions
Year    Men's AO Result Women's AO Result
2000
Gustavo Kuerten
1R
Mary Pierce
4R
2001
Gustavo Kuerten
2R
Jennifer Capriati
Win
2002
Albert Costa
4R
Serena Williams
DNP
2003
Juan Carlos Ferrero
QF
Justine Henin
SF
2004
Gaston Gaudio
2R
Anastasia Myskina
QF
2005
Rafael Nadal
4R
Justine Henin
DNP
2006
Rafael Nadal
DNP
Justine Henin
F
2007
Rafael Nadal
QF
Justine Henin
DNP
2008
Rafael Nadal
SF
Ana Ivanovic
F
2009
Roger Federer
F
Svetlana Kuznetsova
QF
2010
Rafael Nadal
QF
Francesca Schiavone
4R
2011
Rafael Nadal
QF
Li Na
F

None of the past 12 men's champions had won the Australian Open in the same year.  Assuming this same pattern holds, this eliminates the 2012 Australian Open Champion, Novak Djokovic (who we had already eliminated). Our updated men's list looks like:
  1. Novak Djokovic (#1 seed but not defending champ, AO Winner)
  2. Roger Federer
  3. Rafael Nadal
  4. Andy Murray
  5. Jo-Wilfried Tsonga
Each of the past 12 women's champions either did not play (DNP, ocurred 3 times in the past 10 years) or reached at least the 4th round if they did play.  This leaves us with the following women:
  1. Victoria Azarenka (#1 seed but not defending champ)
  2. Maria Sharapova
  3. Agnieszka Radwanska
  4. Petra Kvitova
  5. Samantha Stosur (1R)
  6. Serena Williams
  7. Marion Bartoli (3R)
  8. Carolina Wozniacki
  9. Li Na
  10. Vera Zvonareva (3R)
The next post will look at how important previously winning a Grand Slam or winning a clay court warm-up tournament is.

Sunday, May 13, 2012

Plot of the Week 3

Tyler Zeller: Recent Graduate and 2012 ACC player of the year
This weekend I officially graduated and earned my PhD from UNC.  In honor of graduation weekend, I want to look at an interesting plot of another new UNC graduate, Tyler Zeller.  This shows the trend of Points Per Game (PPG) over all 4 of Zeller's seasons.  Thanks to StatSheet.com for the interactive plot.


A few notes:

  1. Zeller was out most of his freshman year with an injury, thus the constant decline in PPG.
  2. He improved in PPG (along with most of the other stats) each of his 4 seasons.
  3. Compared to 2010-2011, Zeller averaged less points in the first half of this past season, but really picked up his scoring once the ACC season began in January.
  4. I love that this is an interactive plot, highlighting the curves and showing specific values when you mouse over it.  I need to learn to make some of these cool plots.
  5. Congrats to Tyler Zeller, my friends from the UNC Department of Statistics and Operations Research that graduated with me, and all of the other UNC students who graduated this weekend! Go Heels!