Sunday, September 13, 2009
Mets/Phils: One of the worst things a manager can call for…
First and third, 1 out, and the pitcher (Redding) is up to bat. I discuss this in The Book. For those of you who never read The Book or don’t remember the discussion, here is a synopsis:
If the pitcher bunts successfully and makes out at first, which is a reasonable proxy for a bunt attempt by a pitcher (actually, I think a bunt attempt by a pitcher is worse than that, but no matter), you have 2 and 3 and 2 outs. The RE for a league-average leadoff batter versus a league-average pitcher is around .60 runs.
What happens if a pitcher hits away? Clearly the manager who bunts is afraid of the DP.
An average hitting pitcher has this line per 500 PA:
s: 50
d: 9
t: .7
hr: 1.5
bb: 19
so: 187
That is a pretty bad line. Pitcher strikes out 37.4% of the time, has around a .130 BA and a .160 OBP. No wonder lots of managers sac bunt in that situation. Dead wrong! Horrible decision!
Let’s see why:
Here is what those 5o singles do:
50/500 = .10
The RE for 1st and 2nd and 1 out = 1.04 runs plus 1 run scored = 2.04 runs.
That happens (runner advances 1 base only) on a single 69% of the time.
So 2.04 runs times .69 = 1.41 runs.
The RE for 1st and 3rd and 1 out (when runner advances two bases) = 1.27 plus 1 run scored = 2.27 runs
That happens 31% of the time on a single.
So 2.27 times .31 = .70
So, so far on a single, we have an RE for 2.31 runs.
Again, the single happens 10% of the time, so so far we have .231 runs via the single.
Double produces a run and runners on second and third 73% of the time. The RE for that state, including the run scored is 2.51. 2.51 times .73 = 1.83 runs.
Double produces 2 runs and a runner on second 27% of the time. The RE for that state, including the 2 runs scored is 2.78.
2.78 times .27 = .75 runs.
So we have 1.83 + .75, or 2.58 runs via the double.
That happens 9/500, or 1.8% of the time, for an RE of .018 times 2.58, or .046 runs.
So far we have .231 runs for the single and .0146 runs for the double or .277 runs. We are almost halfway there for the singles and doubles and we have not addressed triples, HR, walks, and non-DP outs.
Triples produce 2 runs scored plus a runner on third and 1 out, which is an RE of 3.10 runs. That happens only .14% of the time. .0014 times 3.10 = .004 runs.
Tally so far is .282 runs.
The HR produces 3 runs plus an RE of .35 runs, for a total of 3.35 runs. That happens .3% of the time. 03 times 3.35 = .01 runs.
Tally = .292 runs.
BB produces bases loaded and 1 out, for an RE of 1.47 runs. That happens 3.8% of the time. .038 times 1.47 = .056 runs.
Tally = .348 runs.
Remember that our “target” is .60 runs, the RE after a successful sac bunt with an out made and one runner advanced.
A K produces runners on 1st and 2nd and 2 outs, which has an RE of .47 runs. That happens 37.4% of the time. That produces .374 times .47, or .176 runs! Now THAT is a productive out!
Tally = .523 runs. Almost there.
All we have left are non-K outs. Some will score a run and some won’t. And some will end in a DP.
There are 233 batted ball outs. Of those, the typical pitcher will hit 177 GB and 56 fly outs.
Of those 177 GB, 62 will be GDP and there will be no RE or runs scored of course. That leaves 1-out 115 GB. I’ll skip the math, but that produces around 1.22 runs. That happens 115/500 or 23% of the time. .23 times 1.22 runs is .28 runs.
Tally = .803 runs! We are already .203 runs better than a sacrifice hit and we haven’t even done the sac flies!
Again, we’ll skip some math. On a fly ball, a runner on third with 1 out scored 65% of the time with a pitcher at the plate. The total RE for a fly ball is .95 runs. A fly ball occurs 11.2% of the time. .112 times .95 is another .106 runs.
Final tally is .909 runs!
So for an average hitting pitcher, you are giving up around .30 runs after a sacrifice hit. That is an enormous giveaway. There is probably no single play in a game that costs that much.
In case you want to tweak any of the numbers - for example, the GB propensity of the pitcher (more GDP) or the quality of the pitcher’s batting skills, etc. - you cannot make up .30 runs, so it doesn’t matter.
Even if we take the worst hitting pitcher, who has this line:
s: 36
d: 4
t: .6
hr: .2
bb: 19
so: 214
(That is a truly awful hitting pitcher!)
We get an RE of .816 by hitting away!


Right on, MGL! Even Obama supporters get one right sometimes
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And how foolish was it for the Phils to let Pedro Martinez pitch into the eighth inning with that pitch count.