Navigation: Jump to content areas:


Pro Quality. Fan Perspective.
Login-facebook
Around SBN: Phil Mickelson Outshines Tiger Woods

Expected K% & uBB% based upon Pitch Results & Plate Discipline


Lately we've seen quite a few posts relating plate discipline and pitch results to walks and strikeouts. Intuitively this makes sense. The scenario that occurs after a pitch is thrown should have a strong link to strikeouts and walks.

This led me down the path of starting a project using these results, both plate discipline and pitch results, to formulate an equation via multiple regression that would predict expected strikeouts and expected unintentional walks. So far on this site we've only compared and contrasted a few of these results, and in reality there are quite a few. I'm sure some haven't even been measured yet that may have a strong impact, and I'm not even totally sure if I was able to grab them all.

This is essentially just the start of the project. I'm not totally sure if the end results will be good or bad. If someone wants to play around or offer suggestions or help in any way please do. I'm sure there are independent variables I missed and quite a few that may be removed. There are tons of possible combinations and tons of tests to check to make sure the model is actually okay to use. So if you want to play around and help please do.

That being said I did find two pretty solid equations. We certainly can improve, but I don't think the results will change that much.

Here are the results. I know many of you don't need or want to get into the statistical stuff and are just interested in what this really means. Essentially the eK and euBB is basd upon certain results (13 possible) ranging from call strikes, first pitch strikes, fouls, out of zone contact, etc

Years (qualified pitchers) Adj R-Squared MAPE MSE RMSE
eK% formula 2003-2008 92.7507% 5.8571% 0.0138% 1.1736%
euBB% formula 2003-2008 77.4111% 11.9994% 0.0101% 1.0045%
Last K% eK% Error uBB% euBB% Error
2009 Notable Rays Players
Sonnanstine 13.81% 16.03% 2.21% 5.80% 4.93% -0.88%
Wheeler 17.21% 16.63% -0.58% 4.10% 3.31% -0.79%
Price 23.04% 22.53% -0.51% 15.20% 10.45% -4.75%
Garza 20.88% 19.27% -1.61% 9.67% 9.41% -0.26%
Balfour 23.43% 22.27% -1.16% 11.43% 10.53% -0.90%
Niemann 12.85% 13.96% 1.11% 9.78% 8.90% -0.87%
Nelson 21.19% 22.20% 1.01% 12.58% 9.68% -2.90%
Kazmir 16.89% 17.64% 0.75% 11.15% 8.65% -2.50%
Shields 17.22% 17.05% -0.17% 4.70% 4.16% -0.53%
2009 Other League Notables
Baker 19.80% 20.14% 0.34% 4.82% 5.30% 0.48%
Beckett 22.06% 21.36% -0.70% 7.28% 6.58% -0.70%
Billingsley 23.52% 23.72% 0.20% 9.41% 8.62% -0.79%
Braden 14.96% 15.75% 0.79% 5.80% 4.70% -1.10%
Burnett 21.91% 20.05% -1.86% 11.50% 9.67% -1.82%
Cain 19.83% 20.16% 0.33% 8.96% 6.29% -2.67%
Danks 21.14% 22.25% 1.11% 7.96% 8.04% 0.08%
Dempster 19.69% 20.67% 0.98% 9.07% 8.75% -0.32%
Feldman 12.33% 13.55% 1.22% 8.22% 8.89% 0.67%
Galarraga 15.23% 17.51% 2.27% 10.07% 7.66% -2.41%
Gallardo 26.14% 23.23% -2.92% 10.68% 10.43% -0.25%
Greinke 25.49% 20.71% -4.79% 4.15% 6.95% 2.80%
Halladay 21.35% 20.48% -0.88% 3.70% 3.42% -0.28%
Hamels 20.20% 21.42% 1.22% 4.35% 5.59% 1.24%
Hammel 15.78% 14.63% -1.15% 4.81% 5.70% 0.89%
Haren 25.87% 24.58% -1.29% 3.26% 5.53% 2.27%
Hernandez 23.51% 22.39% -1.11% 7.01% 6.70% -0.31%
E Jackson 20.35% 19.87% -0.48% 7.00% 7.57% 0.57%
Josh Johnson 20.65% 20.16% -0.48% 5.87% 5.84% -0.03%
 Ra Johnson 20.46% 21.14% 0.68% 7.42% 6.49% -0.93%
Jurrjens 16.63% 17.08% 0.45% 8.87% 6.68% -2.19%
Kershaw 24.48% 22.85% -1.63% 13.14% 11.24% -1.90%
Cliff Lee 16.41% 15.40% -1.01% 5.79% 5.09% -0.71%
Lester 27.39% 24.85% -2.54% 7.35% 8.50% 1.15%
Lilly 21.46% 21.26% -0.20% 4.87% 4.76% -0.11%
Lincecum 28.95% 24.38% -4.57% 5.95% 6.67% 0.72%
Liriano 20.71% 20.41% -0.30% 10.35% 9.09% -1.27%
Lowe 11.97% 12.83% 0.86% 6.84% 6.70% -0.14%
Oswalt 18.86% 19.36% 0.50% 5.93% 5.02% -0.92%
Owings 13.83% 16.08% 2.25% 10.12% 7.92% -2.20%
Pavano 16.67% 16.66% -0.01% 4.69% 3.92% -0.78%
Penny 15.40% 14.66% -0.74% 7.07% 7.26% 0.19%
Pettitte 15.10% 16.10% 1.01% 8.97% 8.31% -0.66%
Porcello 12.67% 12.91% 0.24% 8.36% 7.17% -1.19%
Rodriguez 22.84% 22.02% -0.83% 7.76% 8.03% 0.27%
Sabathia 17.98% 19.82% 1.84% 6.46% 6.50% 0.03%
Joh Santana 23.11% 24.14% 1.03% 7.34% 4.56% -2.78%
Scherzer 23.15% 24.24% 1.09% 9.07% 7.93% -1.14%
Vazquez 28.51% 27.12% -1.39% 4.82% 5.56% 0.74%
Verlander 29.50% 27.45% -2.05% 6.49% 6.58% 0.10%
Je Weaver 20.30% 19.45% -0.85% 7.05% 5.89% -1.16%
Zito 18.00% 19.09% 1.09% 8.88% 7.79% -1.09%

* There is no JP Howell data for 2009 on StatCorner which is why he isn't here

**Both models are pretty accurate, although eK% is very accurate. The euBB% also seems to be biased towards negative errors. This is something that would have to be fixed (hence why help would be great).

Star-divide

All in all I've accumulated have 13 independent variables across 2003-2009 and the two dependent variables for each model, K% and uBB%. I ran my regression on data for qualified pitchers (+/- a few) between 2003-2008 (using 2009 as a test or holdout period).

I believe I found the highest Adj R-squared for both models. Both equations only use 11 of the 13 independent variables. I'll link the workbooks at the end so if you want to look over the models and statistics it will be there. Also I included the numbers for a bunch of different tests so feel free to check them out (I really haven't look real hard at them yet).

Here are the two equations that I believe had the highest Adj R-Sq:

K = 0.34523  + ( (Ball) * -0.092208 )  + ( (ClStr) * 0.642177 )  + ( (SwStr) * 1.35 )  + ( (Foul) * 0.981356 )  + ( (InPly) * -0.343883 )  + ( (Oswing) * -0.015719 )  + ( (Zswing) * -0.146531 )  + ( (Swing) * -0.42555 )  + ( (Ocontact) * -0.038438 )  + ( (Contact) * -0.184088 )  + ( (Fstrike) * -0.000762 )

 

uBB = 0.58193  + ( (Ball) * 0.05506 )  + ( (ClStr) * -0.443504 )  + ( (SwStr) * -0.303051 )  + ( (Foul) * 0.092248 )  + ( (InPly) * -0.352155 )  + ( (Oswing) * -0.055224 )  + ( (Swing) * -0.366769 )  + ( (Ocontact) * 0.005447 )  + ( (Contact) * -0.173878 )  + ( (Zone) * -0.043222 )  + ( (Fstrike) * -0.053383 )

 

Like I said before I'm sure there is a better equation out there. I'm sure something simpler as well. Feel free to mess around. I've mixed and matched a bit and in fact I did find another "K" equation from the 03-08 data that actually fits the 09 data better than the equation above. The difference isn't huge though.

These are the independent variables that I used (all in percent):

Balls, Cl Strike, Sw Strike, Foul, In Play, O Swing, Z Swing, Swing, O Contact, Z Contact,  Contact, Zone, F Strike

 

Correlation matrix for K% (split up into two for easier viewing):

  K Ball Cl Str Sw Str Foul In Play O Swi
K 1.00 -0.27 -0.02 0.85 0.41 -0.80 0.34
Ball -0.27 1.00 -0.22 -0.31 -0.54 -0.24 -0.38
Cl Str -0.02 -0.22 1.00 -0.27 -0.34 0.16 -0.09
Sw Str 0.85 -0.31 -0.27 1.00 0.31 -0.65 0.44
Foul 0.41 -0.54 -0.34 0.31 1.00 -0.30 0.27
In Play -0.80 -0.24 0.16 -0.65 -0.30 1.00 -0.14
O Swi 0.34 -0.38 -0.09 0.44 0.27 -0.14 1.00
Z Swi 0.01 -0.24 -0.67 0.22 0.51 0.05 -0.21
Swing 0.27 -0.80 -0.35 0.46 0.72 0.09 0.44
O Con -0.57 0.07 0.15 -0.66 0.01 0.41 0.09
Z Con -0.74 0.17 0.19 -0.78 -0.30 0.66 -0.02
Con -0.85 0.13 0.22 -0.94 -0.15 0.71 -0.29
Zone -0.01 -0.61 0.24 -0.05 0.34 0.28 -0.37
F Str 0.14 -0.79 0.29 0.17 0.36 0.25 0.31
 
  Z Swi Swing O Con Z Con Con Zone F Str
K 0.01 0.27 -0.57 -0.74 -0.85 -0.01 0.14
Ball -0.24 -0.80 0.07 0.17 0.13 -0.61 -0.79
Cl Str -0.67 -0.35 0.15 0.19 0.22 0.24 0.29
Sw Str 0.22 0.46 -0.66 -0.78 -0.94 -0.05 0.17
Foul 0.51 0.72 0.01 -0.30 -0.15 0.34 0.36
In Play 0.05 0.09 0.41 0.66 0.71 0.28 0.25
O Swi -0.21 0.44 0.09 -0.02 -0.29 -0.37 0.31
Z Swi 1.00 0.63 -0.24 -0.29 -0.14 0.30 0.11
Swing 0.63 1.00 -0.13 -0.26 -0.23 0.46 0.61
O Con -0.24 -0.13 1.00 0.44 0.75 -0.10 0.00
Z Con -0.29 -0.26 0.44 1.00 0.81 -0.11 -0.01
Con -0.14 -0.23 0.75 0.81 1.00 0.16 0.00
Zone 0.30 0.46 -0.10 -0.11 0.16 1.00 0.52
F Str 0.11 0.61 0.00 -0.01 0.00 0.52 1.00

What is notable:

The correlations pretty much make sense. Swinging strikes is highly correlated with K's. Anything to do with contact, especially in play, is highly negatively correlated. What is really interesting is call strikes,f-strikes, zone aren't what I originally thought. Firstly call strikes is barely negatively correlated. A bit strange, but perhaps that makes sense on some level. Or perhaps that may be a problem with the model. Thoughts? I would have thought Zone and F-Strike would have had a higher correlation. However in a way it makes sense. If you are throwing in the zone (esp on the first strike) you have a higher chance of a ball in play which eliminates the K potential.

 

Correlation matrix for uBB% (split up into two for easier viewing):

  uBB Ball Cl Str Sw Str Foul In Ply O Swi
uBB 1.00 0.75 -0.27 0.07 -0.19 -0.56 -0.27
Ball 0.75 1.00 -0.22 -0.31 -0.54 -0.24 -0.38
Cl Str -0.27 -0.22 1.00 -0.27 -0.34 0.16 -0.09
Sw Str 0.07 -0.31 -0.27 1.00 0.31 -0.65 0.44
Foul -0.19 -0.54 -0.34 0.31 1.00 -0.30 0.27
In Ply -0.56 -0.24 0.16 -0.65 -0.30 1.00 -0.14
O Swi -0.27 -0.38 -0.09 0.44 0.27 -0.14 1.00
Z Swi -0.10 -0.24 -0.67 0.22 0.51 0.05 -0.21
Swing -0.57 -0.80 -0.35 0.46 0.72 0.09 0.44
O Con -0.17 0.07 0.15 -0.66 0.01 0.41 0.09
Z Con -0.22 0.17 0.19 -0.78 -0.30 0.66 -0.02
Con -0.25 0.13 0.22 -0.94 -0.15 0.71 -0.29
Zone -0.51 -0.61 0.24 -0.05 0.34 0.28 -0.37
F Str -0.70 -0.79 0.29 0.17 0.36 0.25 0.31
 
  Z Swi Swing O Con Z Con Con Zone F Str
uBB -0.10 -0.57 -0.17 -0.22 -0.25 -0.51 -0.70
Ball -0.24 -0.80 0.07 0.17 0.13 -0.61 -0.79
Cl Str -0.67 -0.35 0.15 0.19 0.22 0.24 0.29
Sw Str 0.22 0.46 -0.66 -0.78 -0.94 -0.05 0.17
Foul 0.51 0.72 0.01 -0.30 -0.15 0.34 0.36
In Ply 0.05 0.09 0.41 0.66 0.71 0.28 0.25
O Swi -0.21 0.44 0.09 -0.02 -0.29 -0.37 0.31
Z Swi 1.00 0.63 -0.24 -0.29 -0.14 0.30 0.11
Swing 0.63 1.00 -0.13 -0.26 -0.23 0.46 0.61
O Con -0.24 -0.13 1.00 0.44 0.75 -0.10 0.00
Z Con -0.29 -0.26 0.44 1.00 0.81 -0.11 -0.01
Con -0.14 -0.23 0.75 0.81 1.00 0.16 0.00
Zone 0.30 0.46 -0.10 -0.11 0.16 1.00 0.52
F Str 0.11 0.61 0.00 -0.01 0.00 0.52 1.00

What is notable:

Well for the most part the obvious things hold true. Balls are highly correlated. Swings and contact for the most part are negatively correlated. A key to limiting BB would be throwing first pitch strikes. That is obviously very intuitive, but the huge negative correlation bares that out.

 

I think I'm going to limit this post to just this. I'll answer whatever question I can in the comment section. And I do have quite a few comments on the players themselves, but I wanted to save that for comments.

All of the data, as well as the audit for the regressions, will be linked just below. Check them out. Once I hear some suggestions, thoughts, and opinions I'll know what step should be taken next if any step at all.

If you want to play around with the notable and Rays pitchers. For example changing a value for any independent variable for a specific pitcher to see what would happen to their expected rates click here:

eK for 2009

euBB for 2009

If you want to look at the regression, the audit and all the regression statistics, as well as the results of the equation to the sample as well as the holdout period click here:

eK regression with highest Adj R sq

euBB regression w highest adj R sq

If you want to run your own regressions based upon the data set (if you want to add a variable you have to find the data and add it to the sheet, deleting is simple...click here:

2003-2008 data with 2009

For anyone interested the largest problem with this project was easily collecting the data between Fangraphs and Statcorner. Once I consolidated the data running the regressions and testing on the holdout period was quite easy. Of course with the sheer quantity of combinations testing everything would be highly time consuming.

My fantasy would be to be able to create an accurate eK or euBB based upon these sorts of variables and then be able to plug them in as part of an expectedFIP.

This post was written by a member of the DRaysBay community and does not necessarily express the views or opinions of DRaysBay staff.

Comment 49 comments  |  4 recs  | 

Do you like this story?

Comments

Display:

Basically if you have Greinke on your fantasy team you should probably trade him

If you haven’t already done so. He is really outperforming what his K% and uBB% should be. I’m sure there is another reason why they are as good as what they are, but even still you should expect a significant decline in those rates.

by matthan on Jul 10, 2009 12:40 PM EDT reply actions  

This is amazing so far I'm at your first formula and I'm surprised how little value a called strike carries

A swinging strike is about twice as important as a called strike and a foul ball is nearly half again as important as a called strike. Any reason you think this is the case?

SOSH AUCTION to K ALS

by Sandy Kazmir on Jul 10, 2009 1:07 PM EDT reply actions  

I had a major reply fail

Basically this is probably the best way I can explain it given what I see in the data:

Hitter A:

Swings and misses at strike 1

Hitter B:

Lets called strike 1 go by

Hitter A is more likely to strike out because he has demonstrated the ability not to make contact whereas hitter B has not shown that ability. So for strike 2, if both hitters decide to swing it is more likely Hitter B will put the ball in play.

by matthan on Jul 10, 2009 1:18 PM EDT up reply actions  

I think that answer exists between the correlations between sw str and call str vs anything to do with contact

The data shows that if you generate swinging strikes it is usually tougher to make contact against you. It means essentially the same thing (which unfortunately means a bit of overlap among the variables). However on the flip side taking a called strike doesn’t really show the contact abilities. So their chances of hitting the ball in play when they do decide to swing is quite a bit higher than the hitter that swung and missed at strike 1.

by matthan on Jul 10, 2009 1:15 PM EDT reply actions  

Anyways this definitely backs up RJs claim that Price should be walking far less people

Due to what is happening with his pitches it is unsustainable that he walks this many people. TBH I’m not sure if this data includes last night. I grabbed the stuff off FG and Statcorner this morning.

by matthan on Jul 10, 2009 1:30 PM EDT reply actions  

FG updates nightly.

I’m not sure if SC updates around the same time or earlier/later.

by R.J. Anderson on Jul 11, 2009 11:42 PM EDT up reply actions  

League Averages

K-looking/PA= 4.5%
K-Swinging/PA=13.1%

I think this is the heart of the big discrepancy. How strike 1 is accomplished should matter less. Many hitters will change their approach with two strikes, ie expand their zone, choke up, swing more for contact.

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 1:51 PM EDT reply actions  

That could be another cause practically although I think I found the more statistical answer

Essentially the stdev of sw strikes is quite a bit higher than called strikes. This leads me to believe that pitchers control swinging strikes far more than called strikes. Also this means that the called strike% for pitchers are really bunched up and just won’t correlate that much with the k%

by matthan on Jul 10, 2009 1:57 PM EDT up reply actions  

Makes Sense

Pitchers can’t control a hitters choice to swing. I do think the standard deviation of called strikes beyond strike 1 would be far greater.

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 2:21 PM EDT up reply actions  

Also there may be some redundancy in there

FOr example, when I did my bar graphs last week of pitch result, it was all from fangraphs (didn’t think of using stat corner) Things like O,Z-Swing, O,Z-contact, Zone% are already factored into balls, called strikes, and swinging strikes.

The areas I was unable to tap into are differentiating between fouls and in play (two types of contact) with in and out of the zone. But Balls are being double counted if you use Balls and O-Swing.

Not sure if this is clear or not, let me know.

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 1:56 PM EDT reply actions  

For sure

I wanted to include all the variables I could think of into one sheet as it is far easier to delete a variable than to add one. if you think there is another combination of independent variables that would give a better result then by all means give it a go. The last sheet I listed has all the info. Just delete the columns you don’t need and then run the regression.

by matthan on Jul 10, 2009 1:58 PM EDT up reply actions  

Not going to get into this due to time

Here are my suggestions:
Balls
Called Strikes
(1-Zone%)(O-Swing%)(1-OContact)= Swinging Strikes out of the Zone
Zone%Z-Swing%(1-ZContact)= Swinging Strikes in the Zone

Then it gets more confusing as you can’t differentiate between fouls and balls in play using O and Z.
I’m not sure whether its more reliable to ignore the Zone and focus on the contact result (just use in play and fouls), ignore the contact result and focus on the zone (see below), or just use both knowing there is some overweighting.

Zone Contact=Zone*ZSwing%ZContact%
OContact=(1-Zone%)
OSwing%*OContact%

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 2:34 PM EDT up reply actions  

BTW

The program I used essentially picks the combination of variables with the highest adj R sq (at least it is supposed to). So basically picking from the 13 won’t give you a higher ad r squared if you use the 2003-2008 data. However if you split some of the variables off then you may be able to get a better result or add something that I missed.

I’m going to look into this suggestion and see what I come up with. Thanks for the lead.

by matthan on Jul 10, 2009 3:00 PM EDT up reply actions  

The error is probably slight though no?

The only data you really need stat corner for is to differentiate betwen contact in play and foul balls.

For called strikes use= Zone%(1-ZSwing)
For balls use=(1-Zone%)
(1-OSwing)

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 3:42 PM EDT up reply actions  

I'm looking at the swing strike in zone and swinging stri o zone

In theory they should add up to “swinging strike”

However SwStrOzine+SwStrInZone > SwStr across 99% of pitchers

Not always by much, but on a couple guys the difference is over 1%

by matthan on Jul 10, 2009 3:59 PM EDT up reply actions  

Either way this is my new task

I’m going to try to gather up all the possibilities once a pitcher throws a ball

All as a % of total pitches thrown

Ball%
Call Str%
OZ SwStr%
InZ SwStr%
Oz Foul%
Oz InPly%
InZ Foul%
InZ InPly%

In theory all these should all up to 100%. It covers the ball and every possible strike

With the contact outcomes I’d have to estimate because like you said there is no way to differentiate between inzone and out of zone fouls. I’d have to think of a way to do it. Perhaps weight them by the foul and inplay%s.

Either way I think once I get those 8 metrics and run the regression I think we will have our strongest relationship yet.

by matthan on Jul 10, 2009 4:06 PM EDT up reply actions  

Agree

I would figure out the % of overall contact that is fair vs foul and weight both in play and out of play contact with the %s. Its not pefect, but Im not sure a better way.

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 5:34 PM EDT up reply actions  

I just did this and the results were pretty good

I need to fine tune and I think I can make it a tad better

Regarding the InZ Foul and InZ InPlay what I did was I found that # of pitches in the zone and multiplied it by foul and in play. Not perfect for sure. But not bad

The results were pretty surprising. I do think this model is better. The adj R squared is barely less, but I think the variables are better. Its Friday night now so I have to put an end to this for now, but I think were making some serious progress.

by matthan on Jul 10, 2009 6:29 PM EDT up reply actions  

I'll see what I can do

It would be awesome to eliminate the overlap. The way it is now is okay, but it can become even stronger and essentially rock solid if we were able to eliminate the overlap and look at each variable that way.

Take F-Strike for example

F-Strike swinging: would be a tremendous variable for K%
F-Strike looking: would be a good variable for K%
F-Strike Foul: would be a good variable for K%
F-Strike In play: obviously destroys K%

I don’t think it would be possible to get that data.

 However some of the data we would be able to pull apart a bit. Eliminating that overlap would really help us reach the goal of having a rock solid equation.

by matthan on Jul 10, 2009 2:54 PM EDT reply actions  

Actually perhaps I could get that data

It wouldn’t be exact, but it would be close. But then again I’d still have some overlap. Interesting nonetheless.

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

How?

Outside of bludgeoning yourself with Pitch F/X game by game?

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 3:43 PM EDT up reply actions  

It wouldn't be exact (which is a problem of course)

Basically you can find the # of batters the pitcher threw a FP strike to: FStrike% * TBF

Then you can estimate further by multiplying that number by say OZone SwStr% (as long as it out of total pitches thrown)

That’ll give you a rough estimate of Ozone FStrike SwStr%

I’m not sure how close it’ll be since batters change their approach given the count.

by matthan on Jul 10, 2009 4:15 PM EDT up reply actions  

I wouldn't do that.

Such a relatively large % of 1st strikes (not balls in plays) are looking. For third strikes its probably at least the inverse.

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 5:36 PM EDT up reply actions  

Nearly 3x as many Ks swinging than looking

That can’t hold true on first strikes.

Follow Me on Twitter @FreeZorilla

by FreeZorilla on Jul 10, 2009 5:37 PM EDT up reply actions  

Too many variables

for me to contemplate including the strategic variables
and the subjective variables that cannot be measured,
or so it seems to me…..

i am not proficient in calculus, but it seems to be the same endless
search as the method for predicting the outcome of a random lottery
result?

if we are proving intuition, then the academic exercise would be most satisfying
to the statistician, but also beneficial, in summary form, to a manager or coach.

meanwhile, I observe that Evan Longoria has a hole in his swing, down and in but
borderline strike…:-)

"You came into my life, you came into my heart, you came into my family"

by bgfour on Jul 11, 2009 1:52 PM EDT reply actions  

Comments For This Post Are Closed


User Tools

Founded in 2005, DRaysBay is home to, "Progressive statistical analysis and reasoned argument."

Please read our Community Guidelines.

FanPosts

Community blog posts and discussion.

Recommended FanPosts

Small
Zobrist vs Pedroia vs Cano
Scaled_php_small
Rays Community Prospect #31 Runoff

Recent FanPosts

Scaled_php_small
Rays Community Prospect #35
Scaled_php_small
Rays Community Prospect #34
Scaled_php_small
Rays Community Prospect #33
Scaled_php_small
Rays Community Prospect #32
Scaled_php_small
Rays Community Prospect #31
Scaled_php_small
Rays Community Prospect #30 (Again)
Scaled_php_small
Rays Community Prospect #30 Runoff
Small
Take A Moment To Rosterbate

+ New FanPost All FanPosts >

FanShots

Quick hits of video, photos, quotes, chats, links and lists that you find around the web.

Recent FanShots

Jeff Bagwell, Fred McGriff, The Hall of Fame, and 400 Home Runs
ESPN Chat with Matt Moore
Danny Clyburn: 1974-2012
Joe Maddon Town Hall Contest
Hickey said as of now all of the starters -- Wade Davis, Jeff Niemann,...
White Sox sign Dan Johnson
Indians acquire Canzler
Justin Ruggiano to Elect Free Agency
Dougdirt over at MinorLeagueBall compiled John Sickels' rankings with WAR values from Victor Wang's research.

Thread here.
The increasingly desperate search for offense has caused some teams to...

+ New FanShot All FanShots >

DRB Fantasy Baseball

Friends of the Site

DRB Suggestion Box

Drb4_medium


Managers

Slowsky__1__small Steve Slowinski

Dad_small Jason Collette

Brad_small BWoodrum

Price_small Erik Hahmann

Analysts

Lob-city_design_small rglass44

Untitled_small EminenceFront

Small Mulva

Rutg_uakjmedjwh9ndzd4lkll_small Imperialism32

100_1952_small MrNegative1

Steak-with-crown_small CBJones

Whelk_small Whelk

Small PGP

Scaled_php_small mr. maniac

Tampa_theatre_small jcmitchell

Me_small John Gregg