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Monday, July 21, 2008

Late-inning fielding replacement

By Tangotiger, 11:04 AM

I know I wrote a post on how to figure out if a late-inning substitution, trading offense for defense, makes sense.  From what I remember figuring out, if you are trading one extreme for another extreme, then you should do it in the 9th, maybe in the 8th, and definitely not in the 7th or earlier.

If someone can point me to what I wrote, I’d appreciate it.  I don’t want to bother redoing everything I did.

UPDATE: I’ll just rewrite what I think below:


The difference between a great fielder and a bad fielder is roughly .27 runs per game, or .03 runs per inning.

The difference between a great hitter and a bad hitter (at the same position) is roughly 50% higher than that, or say .43 runs per game, or .10 runs per PA.

If you replace someone for one inning for defensive purposes, you do it.  Of course, we don’t know that it will be for only one inning, since extra innings are always a possibility.

If you replace someone for two innings, then it starts to get dicey.  If you are replacing the game who made the last out in the 7th, then there’s a good chance that he won’t come up in the 9th.  I’ll guess the odds as around 50/50.  And if he does come up, chances are that means you scored more runs on the board.  So, for two innings, you get +.06 potential runs with the glove against a 50% chance of losing .10 runs at a likely lower level leverage.

For 3 innings, it starts to get dicey.  You get +.09 runs with the glove, and you lose .10 runs with the bat.

So, does it make sense to replace a guy in the 8th, or even the 7th inning?  Well, it depends.  It depends on exactly who the players are, when is the replacement due up, and what the leverage is, and expected to be.

Even if the manager limits it to the 9th inning only, and he does it with players of extreme and opposite ability in off/def, and he does it 30-40 times a year, that’s a total gain of +1 run.

For such an extreme tradeoff, to get one run in this deal, I have to question the idea of even having a “defensive specialist” on hand for such situations, when the “defensive specialist” I would like would be another guy in the bullpen so that I can get my below-average starters out of there after 4 or 5 innings.

#1    MGL      (see all posts) 2008/07/21 (Mon) @ 13:27

I am gonna guess that if it is correct, that it makes very little difference one way or another.  One reason that is probably true is that we (including managers) probably don’t take into consideration any offensive and/or defensive penalty (like for a pinch hitter or a DH) from coming into a game cold in the 8th or 9th innings.  You are generally bringing in a much worse hitter.  What if you add in a “pinch hitting” penalty?  Now he is a horrendous batter (obviously sometimes and ideally the defensive replacement does not bat)

And what if there is a defensive penalty to coming into a game cold?  I would think there has to be.  That would be something to look at in the UZR data!


#2    Tangotiger      (see all posts) 2008/07/21 (Mon) @ 14:37

I updated the main blog entry.


#3    MGL      (see all posts) 2008/07/21 (Mon) @ 14:52

I think your numbers back up my guess that it is marginal one way or another.  And since your relievers tend to be higher K guys, that reduces the value of a defensive replacement (fewer BIP per out).  And of course, the G/F ratio of your pitchers in the game in the 8th and 9th innings influences the value of the defensive replacement, depending on whether he is an IF or OF.

I think that when the smoke clears it is likely that managers way overrate the value of a late-inning defensive substitution.


#4    Mike Fast      (see all posts) 2008/07/21 (Mon) @ 16:25

Isn’t win expectancy the proper way to evaluate late-game substitutions?  A run scored does not necessarily equal a run allowed in terms of its effects on the chances of winning.  It seems like with a slim lead, the value of the defensive replacement would be increased relative to his impact on run scoring.  Maybe I’m overstating how much that would change things.


#5          (see all posts) 2008/07/21 (Mon) @ 16:35

Mike, you are right and that is why Tango mentioned “leverage” in his post.

Of course you have to look at it in terms of offensive and defensive leverage, otherwise there would be no point in putting in a defensive replacement at the end of a game in which you are winning.  You would just go with whoever has the most net value for the whole game.


#6    Tangotiger      (see all posts) 2008/07/21 (Mon) @ 16:50

Right all-around.  When the final count after 40 games is +1 runs, I don’t see how the amount of offensive leverage compared to defensive leverage can make much of any difference, which is why I didn’t go into too much details.  But, I encourage others to do so!


#7    Tangotiger      (see all posts) 2008/07/28 (Mon) @ 13:32

Question 59 looks at pinch running:
http://www.tangotiger.net/wiki/index.php?title=Mailbags#Pinch_runners_-_how_much_value_do_they_have.3F


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