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THE BOOK--Playing The Percentages In Baseball

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Friday, April 25, 2008

How much of an NL starter’s hitting is tied up to his value?

By Tangotiger, 02:57 PM

This is what I did:


1. Looked at all years since 1955.

2. Selected all pitchers who had a career of at least 150 PA (AB+BB-IBB+HBP+SF).  That’s 619 pitchers.

3. Figured out the batting Linear Weights (LWTS), using a floating value for the out, per year, based on all pitchers (regardless of league) hitting in that year.  1955 is -.141, 1995 is -.115, etc.

4. Figured out the pitching LWTS, using league Runs allowed per IP as the baseline.

5. Figured the pitching LWTS per 800 BFP, and hitting LWTS per 65 PA.  That would correspond to roughly a full season.  (Greg Maddux had 12.4 BFP per PA, and 800/65 is 12.3.)

6.  I did it two ways, one the easy way, and the other the hard way. a. is easy, and b. is hard.

a. Calculate the standard deviation of the two LWTS.  The pitching LWTS was 9.5 runs (in 800 BFP), and the hitting LWTS was 1.8 (per 65 PA).  That makes the spread 5.3 times wider for pitching, making the “split” 16% hitting, and 84% pitching.

b.i) Figure out how many SD each pitcher is from the league mean in both categories (his z-score).  Pedro is +12 SD from the league mean with his pitching.  Don Newcombe is +11 SD from the league mean with his hitting.

b.ii) Find the standard deviation of all these z-scores.  The pitching one is 2.24, and the hitting one is 1.76.  From this, we can figure out the reliability of each stat.  For pitching, that’s 1-1/2.24^2 = .80.  For hitting, that’s .68. (Note: this probably corresponds to the intraclass correlation that Pizza Cutter likes to do.  I like to do this too.  I just don’t know what it’s called.  For all I know, it IS the intraclass correlation.)

b. iii) Figure out the average number of BFP and PA for each pitcher.  That’s 6658 and 405, respectively. 

b. iv) Figure out the regression equation as:
r=6658/(6658+x)=.80, making x=1653.  For hitting, x=194.

b. v) Regress each player’s stats by using:
regression = 1653/(1653+BFP) and 194/(194+PA)

b. vi) Take the standard deviation of the regressed figure.  That’s 7.25 runs per 800 BFP for pitching, and 1.15 runs per 65 PA for hitting.  That makes pitching over 6 times wider than the hitting in terms of impact.  And that makes the hitting split 14%, and pitching split 86%.

#1    Sky      (see all posts) 2008/04/25 (Fri) @ 15:21

So, chances are, teams aren’t valuing a pitcher’s hitting enough.


#2    Tangotiger      (see all posts) 2008/04/25 (Fri) @ 15:33

It’s possible.  The best hitter of the current era (and 3rd best since 1955) is Mike Hampton.  (Micah hasn’t qualified yet.) Hampton is worth +4 runs.  Near the bottom is Ben Sheets at -2 runs.

Like I said, 1 SD = 1.15, so 95% of the pitchers are +/- 2.3 runs.  So, it has less impact than say someone’s baserunning (not basestealing).  And no team really pays for baserunning.


#3    MGL      (see all posts) 2008/04/25 (Fri) @ 22:40

One of the problems with teams taking full advantage of pitcher hitting is that, one, with runners on base, decent and good hitting pitchers bunt WAY too often, and two, pitchers in general tend to bat in low leverage situations, I assume, especially the poor hitting ones.  I would be interested to see, Tango, what the average leverage is for pitcher hitting.

That being said, one of the many mistakes that managers make is letting his starter bat in the 4th, 5th, and 6th innings (and even earlier sometimes), when the starter is not that good of a pitcher (to want to keep him in the game).

I’ll reiterate what we continually say, and what is in The Book, for those who have not read/heard it:  The most powerful thing a team/manager can do, I think, is to utilize the “never let your 4th and 5th starters bat” strategy.  I have mentioned before that I would tweak that to make it a little more workable, which is to never let him hit unless the leverage is real low, or a sac bunt is almost as good as hitting away, or the pitcher is a real good hitter of course.  Extremely powerful strategy, and while I am surprised that no one has done it yet, I think it is only a matter of time before someone does.  It think La Russa did something like that 10 or 15 years ago, where he had a number of relievers pitch a game starting from inning 1.  I assume he rarely let them bat, but with him, you never know.  He is often just as likely to do something really stupid as he is to do something really smart.


#4    tangotiger      (see all posts) 2008/04/26 (Sat) @ 08:06

The average wOBA of an average starter through the order each time: .345, .353, .361.

The average reliever wOBA the first time through the order: .341.

If the average reliever is .341 the first time through the order, how bad would a back of the bullpen guy be?  He’ll be right around that .361 mark. 

A 4th and 5th starter however will not be .345/.353/.361 but something about 20 points worse across the board.  His FIRST time through the order is already worse than the back of the bullpen guy.

Basically, it really makes no sense to have a 5th starter try to pace himself for 5 or 6 innings.


#5    KLSnow      (see all posts) 2008/04/26 (Sat) @ 10:26

Is this adjusted at all for the fact that an NL pitcher will start a handful of interleague games where he’ll be replaced by a DH?


#6    Sky      (see all posts) 2008/04/26 (Sat) @ 11:53

I was reading about Larussa’s three-pitcher strategy recently.  It only lasted a few games, and the legend is that the pitchers revolted because the starter could never earn a win.


#7    Mike Green      (see all posts) 2008/04/28 (Mon) @ 17:18

Pending an apocalyptic statement from a front office that “pitcher wins” are entirely irrelevant, and will not be considered in salary negotiations, it will be necessary for 1st and 2nd pitcher (i.e. the 5th and 6th “starters") in a multi-pitcher strategy to be rotated.  This allows the “chances to win” to be shared. From each according to his abilities, to each according to his needs.  Socialist pitching!


#8    MGL      (see all posts) 2008/04/28 (Mon) @ 23:46

Mike, that is actually a good point.  The proposal in The Book is to follow the #4 starter with the #5 and vice versa (although that is not always necessary), so the 4th and 5th starters still should be able to get around the same number of wins are always, although as you say, their win total will be tied up in the pitching of the other guy.

One thing.  If the starter does not go 5 IP, then the scorer can give the win to anyone, I think.

Under this system, it might actually be that the 4 and 5 starters will get MORE wins than normal.  Normally the 4th and 5th starters get a lot of ND because they don’t often pitch more than 5 or 6 innings anyway.  Under this system, if the game is won, the second pitcher in is probably going to get the win if the team was winning while the first pitcher was in the game (and he pitches well), OR when the team takes the lead while the second pitcher is in the game.  He gets the double whammy!


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