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Predicting Time Lost to DL for Starting Pitchers

Before the beginning of the season several authors and readers did a no-transaction (even for injuries) WAR-based fantasy draft. I searched high and low for any kind of projection of time lost and found nothing. I had been thinking of creating a DL database and this goal finally put me over the edge and got me working on it. I didn't think the database would have generated the interested it created, but it is nice to know all those Google searches to determine what part of who's arm is got hurt was worth it. Now I am back looking into predicting time lost to injury and I will start with starting pitching.

I took all pitchers from 2002 to 2008 that pitched over 120 innings in one season and looked at the time lost to the DL in the next season. I looked at the player's age, BMI (Body Mass Index), innings pitched and if the player was on the DL the previous season.

 

I initially broke these categories individually up into small increments and then began to combine them into larger groups. I found that innings pitched the previous season didn't matter. I know that Tom Verducci found a small segment of young pitchers that increases in innings pitched can cause problems, but I was looking for more general trends.

 

Processing the data:

I ran many different queries on the data and ran many times into sample size issues. I ended up using just a few categories. I found that the average time spent for a pitcher on the DL after throwing 120 innings was 23.5 days. I divided the data into age, BMI and if there was an injury the previous season and here are the results:

 


Healthy Hurt 26 or less 27 to 33 34 or greater Low BMI High BMI
Average Days Lost per Season 22.39 30.57 22.83 23.03 31.62 23.37 25.83
Difference from Average Time on DL -1.10 7.08 -0.66 -0.46 8.13 -0.12 2.34

Star-divide

As it can be seen the most important factors were being 34 or older or hurt the previous season. Then I added the differences for all the above categories to the average number of days lost and got the following matrix to predict days on the DL:

 


26 and less Healthy 27 to 33 Healthy 34 or greater Healthy 26 and less Injured 27 to 33 Injured 34 and greater Injured
High BMI 24.07 24.27 32.86 32.24 32.44 41.03
Low BMI 21.62 21.81 30.4 29.79 29.99 38.58

 

Legend (Number of pitchers in the category are in parentheses. )

 

Age Categories

26 and less (187)

27 to 33 (382)

34 and older (112)

 

BMI categories (((weight)/(height*height))*703)

Low BMI < 25.5 (400)

High BMI >=25.5 (281)

 

Healthy = No no time on DL the previous season (515)

Hurt = Spent time on DL previous season (166)

 

Besides days lost, a team might need to know the chance of losing a pitcher for an extended period of time.

 

Here is the percent chance that a player will miss over 100 days in a season in each category with 8.1% the average chance of missing 100 days.

 


Healthy Hurt 26 or less 27 to 33 34 or greater Low BMI High BMI
% Chance to be on the DL for more than 100 days 6.4% 13.3% 6.4% 7.1% 14.3% 8.0% 8.2%
Difference from Average % Chance -1.7% 5.2% -1.7% -1.0% 6.2% -0.1% 0.1%

 

Combining each of the differences and adding them to the average time lost results in the following matrix showing percent chance of missing significant time.

 


26 and less Healthy 27 to 33 Healthy 34 or greater Healthy 26 and less Injured 27 to 33 Injured 34 and greater Injured
High BMI 4.9% 5.5% 12.7% 11.7% 12.4% 19.6%
Low BMI 4.7% 5.3% 12.5% 11.5% 12.2% 19.4%

 

Observations
  1. These numbers can be used to help predict how much pitching help a team will need during a season.

  2. It can also be used to see how luck or unlucky a team has been with injuries (or state how well a training staff is doing).

  3. I know that it is not rocket science saying that old,"big boned", injured players are going to spend more time on the DL than young, thin, healthy players. Now you know it will be on average 20 more days on the DL and there is a 15% greater chance they will spend significant time on the DL.

Of course I am open to comments and suggestions and come the 2010 Ball on a Budget draft, I will be armed with the data I need (along with everyone else, unfortunately.)

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It's not important for time spent on DL

It might be important for unexpected time spent on the DL, which I think is what you’re trying to measure?

by Graham on Jul 9, 2009 11:31 AM EDT up reply actions  

I just run the numbers and only 3 pitchers meet this requirement.

Many pitchers were on the DL and the beginning and end of a season, but few were able to throw for 120 innings in the first season

Jeff Zimmerman - Protecting the world from RBI's and Wins from my mom's guest house.

by Jeff Zimmerman (TucsonRoyal) on Jul 9, 2009 12:13 PM EDT up reply actions  

I can't remember from the previous article

Do you use team-reported weight for BMI? Is anything else available?

by Tommy Bennett on Jul 9, 2009 11:23 AM EDT reply actions  

I used hieght and wieght from Retrosheet data

Jeff Zimmerman - Protecting the world from RBI's and Wins from my mom's guest house.

by Jeff Zimmerman (TucsonRoyal) on Jul 9, 2009 11:27 AM EDT up reply actions  

Hey everyone. While I feel that the intent is there, there are several things that I see that worry me about the study. Sorry for the long post

   1. BMI is not the best way to track analyze someone’s health. A person who is 6′3″ and weighs 200 pounds has a BMI of 25 (which is the cutoff for healthy/unhealthy) regardless of whether or not the person has a fat percentage of 7% (healthy athlete) or 32% (obese).
   2. BMI doesn’t factor in level of hydration at several important times for this study. Hydration is not considered at weigh in time or at time of injury. Both of these are incredibly important when evaluating health and evaluating injury risk factors. Dehydration has been shown to be an injury risk based through several mechanisms in the body including changes in tensile strength and neuromuscular pathways. BMIs will be fluctuate severely based on the amount of water present in the body.
  3. The heights and weights are not measured at the same time of the day in order to standardize the process.
  4. If we assume that BMI is a proper way to evaluate health in athletes, can we really trust that the heights and weights on the rosters are accurate? Using the Red Sox as an example since I follow them the most, can we safely assume that Brad Penny, David Ortiz, and Aaron Bates are all 6′4″ and 230 pounds while someone like Masterson weighs in at 260. Even if the weights are correct can we assume that Pedroia is 5′9″.
   5. This study doesn’t explicitly remove players who have suffered multiple injuries. If a player suffers two DL stints of 25 days each to the same body part (think hamstring, shoulder) in a very short time (say 55 days from beginning to end of the 2 DL stints), it changes the average days lost to a lower number rather than counting it as 50 days when in fact it is the same injury.
   6. Categorizing someone as healthy versus hurt based only on DL transactions is ignoring a lot of data and also ignoring a lot of injuries. What about those pitchers who get their start skipped and don’t go on the DL or have their start pushed back a couple of times? Based on a 35 start season, every start counts roughly as 3% of his season. If he has 2 starts skipped over the 6th month season, that’s 6% that’s lost but not counted in the DL transactions.
   7. The 120 IP mark does not take into account those pitchers who came up to the bigs for 3-4 starts, went back down to the minors and was hurt in the minor leagues. If it does take those pitchers into account, it does not explicitly say so.
   8. It also appears that the 120 IP mark doesn’t factor in injuries for that season. If a player is used to throwing 180 IP, gets hurt that season but still ends up throwing 125 IP and then goes on the DL in year +1, he counts just the same as a guy who throws 125 IP for 3 years and gets hurt in year + 1.

I guess the biggest issue I see is using BMI as one of the variables.
  

by cidawkins on Jul 10, 2009 3:25 PM EDT reply actions  

Responses

BMI — I think player size is very important and though the ways it is measured are not perfect it should be used. If 2 pitchers are of the same builds and height, but has an extra 20 lbs both get hurt in the knee on a come backer, it will take the heavier person more time to repair.

  1. Incorrect — If a 180 inning player is hurt he would have about 8 more days on the DL the next year than person with 125 innings

Jeff Zimmerman - Protecting the world from RBI's and Wins from my mom's guest house.

by Jeff Zimmerman (TucsonRoyal) on Jul 10, 2009 5:53 PM EDT up reply actions  

My response

I disagree on the importance of player size. I think it’s much more important to measure someone’s health/fitness level rather than size. My reasoning why i think a players size has little to do with injury prediction is below.

1. Modern medicine is fairly advanced now in taking the stress of additional weight off of a players lower body & spine. This can be done through crutches, walking boots, running in the pool rather easily in your example.
2. It’s been shown that a person’s level of fitness and health prior to an injury plays close to as much a role as the rehab after the injury/surgery. This is why players routinely wait several weeks to a month performing rehab before going into a surgery. The same applies to everyday injuries. If the player happens to be heavier but is in better overall shape and health, that heavier person will most likely be able to rehabilitate faster than a lighter person who is not in as good shape.

 Also, a person who is a better athlete (even if heavier) will more likely react to the comebacker in such a way that it will lessen the force transmitted into the body. A heavier person can have a reaction time that is much better than a lighter person and will therefore be able to protect themselves more and decrease that chance of serious injury.

It’s been shown multiple times that correct training of any body tissue will alter that tissue to the demands placed on it. Thus, If a pitcher correctly works on his strength, reaction times, visual training exercises, and reflexes they are less likely to get injured in the first place and when an injury does occur it is likely to be less severe.

3. Other than the issues I raised above the problem I see of using BMI is the issue of being precise versus being accurate. From “Choosing and using statistics” by Calvin Dytham:

“Accuracy is the closeness to the the real value…..Precision is the closeness of repeated measures to the same value. It is possible to have data that are very precise but very inaccurate. For example your balance gives exactly the same value for repeated measures of the same object but they are all overweight because the balance was not calibrated properly.”

Trying to measure a person’s health with BMI is like using a balance that is not calibrated properly as it doesn’t factor in age, sex, body fat%, bone mass, hydration, and fitness level. Can anyone possibly determine how healthy an athlete is without evaluating these traits?

4. When making predictions, I want them to be able to stand up in a court of law….beyond a reasonable doubt, being accurate and precise. I don’t want to convict someone based on an inaccurate eyewitness account, even if that person repeatedly told me the same thing.

by cidawkins on Jul 10, 2009 7:04 PM EDT reply actions  

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