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Tuesday, June 01, 2010

Forcing the opposing manager to walk Pujols

By Tangotiger, 09:45 AM

Poz asks:

It was a hustle play for Ludwick, exactly the sort of hustle play that we admire in our players. He took advantage of an opponent’s mistake, got himself into scoring position, did exactly what you would want him to do.

Then again — as you have no doubt considered — there is another factor here. Albert Pujols was hitting next. And, of course, the Reds promptly walked Pujols. In other words, by taking second base, Ludwick took the bat out of Albert Pujols’ hands.

Which leads to our question: In the grand scheme of things, was Ludwick’s taking second base a good play or not?

Poz goes through the exercise to show that you’d rather have Orlando Cabrera with the bases loaded, than Pujols with runners on 1B and 3B.  Let me show you a more theoretical answer, and it starts with the average run expectancy chart, which should at this moment be in your back pocket.  For those of you who still have not printed it, or memorized it, go here.  (At one point in the future, I will no longer link to that page.  That chart should be in your wallet, opposite to the picture of your kid.  And if you have two kids, well, shrink their pictures so they fit on one side.  This is baseball dammit, and it should make up half your life.)

Anyway, with the bases loaded and two outs, and an average hitter at bat, that is worth 0.815 runs to the end of the inning. 

With runners on the corners and two outs, that’s 0.538 runs to the end of the inning?  What about with Pujols and runners on the corners and two outs? 

Pujols is a career .435 wOBA hitter, which is about 100 points above the league average.  To convert wOBA to runs, you divide by around 1.15 or 1.20.  So, +.100 / 1.15 = +.087.  So, on average, Pujols is worth about +.087 runs per PA above the average hitter, in an average base/out situation.  You can also look at his WPA/LI career total of 57.5 wins in 6312 PA, or +.009 wins, which is around +.090 runs per PA.  Fangraphs also has his wRAA (runs above average) as +566 runs, which comes out to +.090 runs per PA.  Any way you shake it, on average, Pujols is +.090 runs per PA.

Now, you might be tempted to simply take the 0.538 runs that an average hitter generates with runners on the corner and two outs, and add in Pujols’ +.090, and be done with it.  However, runners on the corner and two outs is not an “average” base/out situation.  In order to figure that part out, you need to know the “leverage” of that base/out situation, or boLI (base/out Leverage Index).  There’s also a simple way to figure out the boLI, and you need to go to this chart.  If you go down to the 1b/3b/2out line, you will see the run value of the out is -.54 runs, which you compare to around -.30 runs for the typical value of the out.  That sets the boLI at around 1.8.  That is, everything that happens in the base/out situation is magnified by 1.8.  You can see the full chart here.

If Pujols really is worth +.090 runs per PA on average, he’s probably worth around .090 x 1.8 = .162 runs per PA with runners on the corners and two outs.  (One could just as well use the LWTS figures for that base/out state and apply Pujols’ specific stats to get a more accurate number.  That would be more correct.  My point here however is to try to find a simpler way so that you can be more comfortable to use this process for other situations.) So, .538 + .162 = .700 runs per PA. 

And that becomes our estimate: Pujols with runners on the corners and two outs plus the average batters coming up generate .700 runs.  An average hitter with bases loaded, 2 outs plus the same average batters coming up generate .815 runs.  And that’s why you don’t see Pujols being IBB with runners on the corners and two outs.  It would have to be a pretty bad hitter for that to happen. 

How bad?  Well, it would have to be -.115 runs per leveraged PA.  And since the boLI was 1.8, that means -.064 runs per average PA.  Which is around -.075 in wOBA.  And if the league average wOBA hitter is .335, that would make our breakeven hitter around .260.  And that’s pretty much the worst true hitter possible in MLB, outside of pitchers-as-batters.  Therefore, in order to walk the best hitter in MLB with runners on the corners and two outs, you have to have the worst hitter in MLB on deck.

(This analysis also ignores the game situation, meaning inning/score.  That requires more leverage index talk.  And if the larger the game LI, the more it makes sense to walk Pujols with runners on the corners and two outs.  That’s the subject of another post.)


#1    Tangotiger      (see all posts) 2010/06/01 (Tue) @ 10:23

I just want to point out that this is pretty standard analysis.  This is how the run expectancy (RE) chart, wOBA, and leverage index (LI) are all tied in.

You might see these things are three separate, almost unreleated topics, but they are actually very closely linked.  The RE chart is the core of everything that happens in baseball.

If you already knew all this stuff, then great.  If you didn’t know, but were able to follow along, and now are on board, then great.

If you didn’t know this stuff, and didn’t really follow it, then you are missing out on something important.  Take the time to re-read this post until the light bulb goes on.


#2          (see all posts) 2010/06/01 (Tue) @ 10:36

One of my favorite Posnanski posts ever.  What a great way of exploring, and proving, his point - while only using back-of-baseball-card stats.  I never even would have thought of that - like you, I would have broke out the RE chart to try to go from there (and quite frankly, maybe gotten stuck at that point).


#3          (see all posts) 2010/06/01 (Tue) @ 10:51

If it’s better for Ludwick to have stopped at first, then it doesn’t matter.  Because then they just would have walked Pujols.

That is: if Pujols on first and Ludwick on second is better than Pujols at bat and Ludwick on first, the other team will see to it that that happens.  And, therefore, if both teams are smart, Ludwick didn’t cost the team anything, except that he risked being thrown out at second.

Of course, if the Cardinals knew that the Reds would be too dumb to walk Pujols with Ludwick on first, then it makes sense.  But it’s dangerous to assume the other team is dumber than you.


#4          (see all posts) 2010/06/01 (Tue) @ 12:10

But it’s dangerous to assume the other team is dumber than you.

Is it too cliche at this point to make a Dusty Baker joke?


#5    Xeifrank      (see all posts) 2010/06/01 (Tue) @ 12:23

I assume we’d also want to take ‘splits’ into account.


#6    Tangotiger      (see all posts) 2010/06/01 (Tue) @ 12:27

If it’s better for Ludwick to have stopped at first, then it doesn’t matter.  Because then they just would have walked Pujols

1. When I think of “Ludwick”, I think of “Ludwig” from Naked Gun, which really can be considered a baseball movie.  I didn’t check, but there’s probably more baseball action in that movie than Field of Dreams.

2. Right, exactly.  No one walks Pujols with runner on 1B and 2B open.  That must mean its preferable to the defense to have Pujols batting and keeping Ludwick at 1B if they could.


#7    Hizouse      (see all posts) 2010/06/01 (Tue) @ 13:01

It’s interesting how an answer can become clearer when you look at a situation from the opposing team’s perspective, as Phil does in #3 and Tango does in #6.2. 

In basketball, if my team is _up_ 3 in the waning seconds, I don’t know if it’s the right play to foul and give 2 FT instead of a chance at a 3-pointer.  But if my team is _down_ by 3, I definitely do NOT want the other team fouling me.


#8    Tangotiger      (see all posts) 2010/06/01 (Tue) @ 13:33

Hiz: right, that’s one of MGL’s laws. Not sure if it’s law #7289 or #3428.  Anyway, he says the same thing, like “if you don’t know if the play is the correct one to make or not, how would you call it if it was the exact opposite?” Your opinion should therefore be the opposite of that.

For example, should you pull your goalie with 3 minutes to go?  Maybe you can rationalize it as a yes.  What does the defense think?  They might be thinking “my god, please, yes, pull your goalie”.  If they think that, then you know it’s a bad call to pull your goalie with 3 minutes to go.

How about with 30 seconds to go?  Well, the defense is likely begging you not to pull your goalie.  They know that with only 30 seconds, the offense can control the puck, and the defense won’t take over.  So, if the defense doesn’t want it, the offense should definitely want it.

This kind of thinking works wonders, not only in baseball, but in many situations.


#9    MGL      (see all posts) 2010/06/01 (Tue) @ 14:16

Right, whenever I hear a TV commentator bemoan the fact that the base runner on first went to second (via a steal or stretching a single into a double) with a great hitter on deck, because the defense will now walk the great hitter and “therefore that takes the bat out of his hands,” as Phil pointed out, I always think, “Well if that is the case, then they should walk the great hitter with the runner on first,” which they won’t of course.

That automatically tells you that taking second with the great hitter batting next is a GOOD thing for the offense, even if it definitely takes the bat out of his hands.

The funny (sad) thing is that if you asked all 30 managers whether with the game on the line and a runner on first and Pujols on deck if they would take second base if it were offered to them (if they are the offensive manager of course) knowing that Pujols would be walked, at least one of them, maybe even 10, would say, “No I would not take the offer.”

Your question to them should then be, “Then why don’t you tell your pitcher to balk the runner to second in that situation?”

Now, in reality, since the runner either attempting a steal or trying to stretch a single into a double, presumably runs the risk of being thrown out, the fact that the next batter, a great hitter, will be IBB’d, changes the BE point of the attempted base advancement.  So it might be correct that you are much less likely to steal or take the extra base in a hit with the great hitter on deck.  But, there are other reasons besides the fact that the great hitter is going to be IBB’d.  In general you are much more likely to take second (the BE point is lower), especially with 2 outs, with a weak hitter than a power hitter, even if IBB’s were not allowed.

And BTW, there are times when it is correct to try and make your opponent do something wrong, the assumption being that he is dumber than you.  For example, there are 2 outs and your #7 batter is on first in the NL, early in the game.  If you know that the opposing manager is likely to (incorrectly) IBB your #8 hitter after a successful steal, the BE point for that steal is less than if he does not (IBB the batter).


#10    Bjorn      (see all posts) 2010/06/02 (Wed) @ 08:42

Just a simple question. (Not that I think it matters in this case since it is so clear cut, but I am curious anyway.)

In this type of analysis typically you simply consider what happens NOW, i.e. in this inning. Either player A in base/out state X or player B in base/out state Y.

But in fact doing the IBB or not will affect who bats when in the next inning and in fact for the whole game.

I am guessing (without knowing the lineup in detail) that with the IBB in this situation the cardinals will on average have weaker hitters hitting next inning. OTOH the average number of plate appearences for at least Pujols (and possibly also Halliday) should increase.

Which is stonger and does it even matter?


#11    MGL      (see all posts) 2010/06/02 (Wed) @ 10:24

Yes, it matters.  That is why you typically don’t want to walk the #8 batter in the NL to pitch to the pitcher with a runner on 2nd base (or 3rd) and 2 outs.  If you do that, it increases the RE for the next inning.  (With 2nd and 3rd, it is often correct to walk the #8 hitter, despite the fact that you raise the RE for the next inning.)

So, yes, whether to IBB a batter or not depends not only on how it affects the WE for that inning, but for subsequent (mainly the next one) innings as well.


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