College Basketball: Rating Individual 3FG%
- 435 Comment
My last post presented a model for predicting 3FG% based on a player’s ability, age, and role in the offense. A comment by DSMok1 inspired the model I will present in this post. He writes:
I was considering how best to create an “equalized” measure of 3pt and 2pt % for college players, based on the opposition played and the usage percentage. In other words, I would create a notional percentage for each player based on a usage rate of 20%, playing NCAA-average opposition.
Do you think that you could do a similar regression for 2Pt%, and post it?
Although he specifically requested 2FG%, in this post I will present a model of college basketball 3FG% that controls for player ability, opponent strength, experience, and role in the offense.
The Data
To build this model I collected each player’s made and attempted three point field goals for every season from 2002-03 to 2008-09, and I kept only those player seasons that attempted at least 50 three point field goals. I separated this data by opponent, and I kept track of how often this player was in the data set as a proxy for that player’s experience.
Also, I calculated every player’s usage% for each season. Usage% is the percentage of his team’s possessions that the player can be considered responsible for, as defined by Dean Oliver in Basketball on Paper. Thus this usage% includes assists, and it is constructed using Dean’s formulas for the NBA from his book.
The Model
With this data I fit the following model:
[latex]Pr({\tt 3FG make}) = {\tt logit}^{-1}(\alpha + \beta_{1}({\tt usage}) + \beta_{2}({\tt experience}) + \beta_{3}({\tt long}))[/latex]
This logistic regression was fit as a multilevel model to allow the intercept to vary by player and opponent. This allows us to estimate player ability while controlling for opponent strength. In this model long indicates if the attempt is from the 2008-09 season in which the NCAA moved the three point line back to 20 feet 9 inches from 19 feet 9 inches.
The Results
The average player results are as follows:
- Coefficients: [latex]\alpha = -0.490[/latex], [latex]\beta_{1} = -0.557[/latex], [latex]\beta_{2} = 0.028[/latex], [latex]\beta_{3} = -0.034[/latex]. The p-values for testing if the true values of these parameters are equal to zero are all less than 0.01.
- Usage: The coefficient for usage, [latex]\beta_{1} = -0.557[/latex], suggests that for each additional 1% in an individual’s usage% the odds the individual makes a 3FG attempt are decreased by 0.55%. As we would expect, this suggests that a player that increases their usage from 20% to 21% would expect to see their odds of making a 3pt FG attempt decrease by 0.55%
- Experience: The coefficient for experience, [latex]\beta_{2} = 0.028[/latex], suggests that for each one year increase in experience the odds the individual makes a 3FG attempt is increased by 2.8%.
- Long: The coefficient for the longer 3pt distance, [latex]\beta_{3} = -0.034[/latex], suggests that the odds of making a 3pt shot from the longer distance are 3.3% lower than the odds of making a 3pt shot at the shorter distance.
Player Estimates
This model fit helps us cut through the noise and estimate a player’s ability against league average opponents. As the graphs below show, there is a lot of uncertainty in a player’s individual 3FG% in any one season. Further compounding these yearly results is the fact that players face different levels of competition, and they may take on a larger role in their team’s offense as they gain experience.
The first graph I will present is that of Davidson’s Stephen Curry:
This graph shows Stephen’s estimated ability as a function of experience (the x-axis) and usage (blue=10% usage, black=20% usage, and red=30% usage). Below the x-axis you will see the actual usage% for each season to go along with the average percentile ranking of opponent 3FG% defense, where 50% represents average, >50% above average, and <50% below average opponents. The black dots and associated lines extending from these dots represent the sample 3FG% for the season and the 95% confidence interval for the player’s true 3FG% ability during the season.
While Stephen ranks 11th in this model of all players from 2002-03 to 2008-09, current star of the College of Charleston, Andrew Goudelock, ranks a surprising 41st. His graph is below:
Another player graph that may be of interest is Duke’s J.J. Redick:
Translating to the NBA
Although this model helps us estimate a player’s ability in college, we’re ultimately interested in translating this to the NBA. There are a lot of highly ranked players that never play in an NBA game, as simply being able to shoot 3pt shots well isn’t enough to succeed in the NBA.
That said, the next step is to examine players that actually make it to the NBA and determine what this model says about their ability to shoot 3pt shots against that level of competition.
Puis-je mettre ma fille de 16 ans dehors pharmacie en ligne hollande
Ou commence le manque de respect dans un couple meilleure parapharmacie en ligne
Comment on appelle la mere des jumeaux pharmacie en ligne sans ordonnance
Quels sont les causes du repli sur soi pharmacie en ligne sans ordonnance cialis
canada drugs online https://rabbitroom.com/members/canadianpharmaceuticalsonlinewithnoprescription/profile/
You mentioned it adequately!
buy generic femara 2.5 mg
order femara 2.5mg pill
buy viagra 25mg http://www.celtras.uniport.edu.ng/profile/canadianpharmacy/
You made the point!
How do doctors test if a man is infertile
What are the benefits of not Nutting?
Northwest Pharmacy https://amarutalent.edu.pe/forums/users/viagra-generic-canadian-pharmacy/
Thank you. An abundance of advice!
How do you know if a guy is ignoring you
How do I stay in his mind?
What Colour is sepsis – ivermectin for dogs dosage chart
ivermectin buy What happens when antibiotics wipe out good bacteria?
Viagra generic https://offcourse.co/users/profile/pharmacy-cheap-no-prescription
You actually revealed that perfectly!
Can 2 females have a baby together
What time should I go to bed if I wake up at 6?
Viagra tablets https://bitcoinblack.net/community/prescription-drugs-from-canada/info/
Fantastic data, Appreciate it.
canadianpharmacy https://www.nzrelo.com/forums/users/canadianviagragenericpharmacy/
Very good material. With thanks!
How long does it take for him to miss you
What is a reasonable amount to spend on gym?
pharmacy canada https://www.beastsofwar.com/forums/users/canadiancialis/
You made your point.
How do you keep your man interested in you
What is a woman’s wifely duties?
Viagra great britain https://www.windsurf.co.uk/forums/users/canadian-pharmacy-viagra-generic
Thanks, Quite a lot of advice!
Viagra rezeptfrei http://www.mjyoung.net/weblog/forums/users/canada-online-pharmacies/
Beneficial stuff. Kudos!
When is it time to see an asthma specialist order ventolin
What is the ultimate goal of treatment in asthma: albuterol sulfate dosage.
Can I drink alcohol 3 days after antibiotics lasix water pill
What does bathing with milk do – how long does it take for furosemide to take effect?.
Viagra prices https://solorider.com/forums/users/canadian-pharmaceuticals/
Truly many of fantastic data.
Est-ce que les bebes aiment les bisous viagra pfizer en ligne
Comment changer son hygiene de vie – acheter du viagra en ligne.
Do antibiotics affect your brain stromectol over the counter cvs
What are the top 3 bacterial infections: ivermectin (stromectol).
What to eat while taking antibiotics
How many antibiotics until I feel better
Do antibiotics reset your body
How long can antibiotics mess up your stomach
What is the safest antibiotic
How do I know if antibiotics are working
What is the safest antibiotic
What is the strongest antibiotic
Can I buy antibiotics at the pharmacy
Can you take paracetamol with antibiotics
Do antibiotics make you sick
What antibiotics cause anxiety
What kills bacteria fast
How long do antibiotics take to work
Do bananas fight bacteria
Can you take paracetamol with antibiotics
Why antibiotics weaken your immune system
Should I drink a lot of water with antibiotics
Why are doctors not prescribing antibiotics ivermectin for sale for humans
Do antibiotics drain your energy ivermectin for demodex in dogs
vardenafil generico
generic vardenafil india
Can I take antibiotics for 3 days only
What is a good home antibiotic