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Wednesday, October 19, 2011

Playoff home advantage, NL/AL

By Tangotiger, 01:27 PM

Poz reels off some interesting info.

It probably helps to understand the home/away context.  A team will score about 0.4 more runs per 27 outs at home than on the road.  (This is why for example, they have a .540 win% at home: 0.4 runs = 0.04 wins, and 0.04 plus .500 is .540.  Isn’t math fun?)

Another interesting thing to note is that a pitcher’s wOBA is around .160, while a DH is around .350 (more or less, and depending on the year).  Pitchers come to bat 2.5 times, and then you have PH the rest of the way (PH are around .300 wOBA, and we’ll give them 1.5 PA).  Remembering that to convert wOBA to runs you divide by 1.2, and we get: DH over P = (.350-.160)*2.5/1.2 = 0.39 runs.  DH over PH = (.350-.300)*1.5/1.2 = .06 runs.  So, the DH advantage is about 0.45 runs per game.  Basically, the DH advantage is about as large as the home field advantage.

Ok, so he notes that:

On the road, with the pitcher hitting for himself, AL teams have averaged about 3.77 runs a game. With the DH, they average about a half run more per game. I think that fits in with what you would expect.

We have three effects: the home/away, DH/P effect, and the unfamiliarity of playing “out of position” on the road (AL team using a P, NL team using a DH).

So, being at home, AL would be +.4 more runs than on the road.  Being at home, DH generates +.45 more runs than P/PH.  Being at home, the familiarity of playing by your rules, you’d get some positive effect, say something like +.15 runs (just pulled it out of my a$$).  The total of these two is +1.00 runs, but Poz is reporting only +.50 runs scoring at home for AL teams than on the road.  There’s another 0.50 runs unaccounted for.

Anyway, we go on to the NL:

The National League, though, offers the shocker. At home, with pitchers hitting, they average 4.15 runs per game, which is pretty close to what American League teams score at home. But on the road, using the DH, National League teams have scored only 3.4 runs per game, meaning they score seven-tenths of a run LESS per game with the DH than they do with pitcher’s hitting.

So, at home, we’d expect them to score +.4 more runs.  The DH impact would mean scoring -.45 runs at home (i.e., fewer runs at home than on the road).  And then, some impact for familiarity at playing by home rules of +.15 runs.  In total, we’d expect NL teams to score +.10 more runs at home than on the road.  Poz is reporting that they score +.75 more runs at home than on the road.  That’s an extra 0.65 more runs unaccounted for.

Is it possible therefore that there’s a huge familiarity factor of playing by your home league rules, way above the +.15 I was originally contemplating?

I mean just look at the data right here:
American League home record: 44-21 (.677 winning percentage)
National League home record: 37-29 (.561 winning percentage)

So, the average playoff team at home wins at close to a .620 clip, far higher than the .540 that you’d see in the regular season.  And getting a +.08 win advantage, that’s a +.80 run advantage.

And that pretty much closes the gap in my numbers above.

That’s +.08 win advantage at home (over and above what you’d see in the regular season) is almost two standard deviations from the mean.  It’s possible that this is just small sample size.  But, seeing that we have a huge parameter here (playing by home-league rules), a .540 prior would seem to be too low to test against.

I’d love to see more data breakdowns and analysis on the AL/NL breakdown, including home-field advantage for intra-league playoff games as another comparison point.

Thanks Joe, learned something new today!


#1    Phil Birnbaum      (see all posts) 2011/10/19 (Wed) @ 15:05

Very interesting!  I bet small sample size is most of it, but I stand to be corrected by new evidence.


#2    Kung Pao      (see all posts) 2011/10/19 (Wed) @ 15:17

Ah, small sample size.  Without it, there would be no blog post, nothing interesting to write about and nothing to talk about.  With it, the whole world opens up and theories abound!


#3    praxspop      (see all posts) 2011/10/19 (Wed) @ 15:18

FWIW, this increased home-field advantage does not extend to the LCS (since 1976):

ALCS home record: 99-85 (.538)
NLCS home record: 99-91 (.521)

I was going to post to ask if anyone had ever looked at whether “big” games have a higher home-field advantage (or whether the home-field advantage scaled with attendance for example), but now I think not.


#4    Tangotiger      (see all posts) 2011/10/19 (Wed) @ 16:07

.540: Intra-league regular season home win%
.530: Intra-league post-season home win% (thanks prax/3)

.560: Inter-league regular season home win%
.620: Inter-league playoff home win% (thanks Poz)

I can see why the home field advantage goes down in the intra-league post-season: both teams have the same travel schedule.  So, the home team doesn’t have the extra rest at home.

We see that the “familiarity factor” is +.020.  (I had guessed +.015 earlier.)

So, we’d expect the inter-league playoff home win% to be .550 (.530-.540 +.560). Instead, it’s .620, or 60 points above expectation.  One SD is 43 points, so, just 1.4 SD above the mean.

Eh… something to talk about, but doesn’t seem to be something to bet on.

What are the Vegas odds since the DH rule in the playoffs came into effect?


#5    Michael K      (see all posts) 2011/10/19 (Wed) @ 18:11

I’m reminded of the ‘87 Twins, who had one of the craziest home/road splits of all time (.691 home / .358 road).  Just throwing out the 1987 World Series from the mix (not that it’s fair to cherry-pick like that) would bring the WS home team win% down to .597.  The 2001 WS accounts for most of the remaining discrepancy (though NYY & ARI had fairly normal regular season home/road splits that year).


#6    MGL      (see all posts) 2011/10/19 (Wed) @ 19:44

Right, it is always very difficult to tease out small differences in post-season play because of the tiny sample sizes.  Quoting anything from the post-season (or any small sample, or any sample for that matter) without a standard error (IOW, a confidence interval) is folly.

Not to mention publishing bias (data mining) - if you look at enough “interesting” things from the post-season (or, again, any sample) you will find some that are statistically significant (by themselves) by chance alone!

#5, The old Dome in Minny had one of the highest HFA in modern baseball history, other than Coors Field, because of the white roof and perhaps other things.  That and the Astrodome…


#7          (see all posts) 2011/10/19 (Wed) @ 19:56

MGL, when I was studying HFA in college, common theory at the time was that the Metrodome HFA was due to the volume in there.  Specifically, one paper cited the 1987 world series between MIN and STL, in which the average crowd volume in MIN was 2x that in STL.  I’d imagine the ceilings are a bigger issue, but interesting nonetheless.


#8          (see all posts) 2011/10/20 (Thu) @ 08:23

I had a quick check of the regular season IL games (someone has to do something while all of you sleep):

AL home games:
Home Win%: .575
AL Runs Scored: 5.11
NL Runs Scored: 4.57
Games: 1859

NL home games:
Home Win%: .530
AL Runs Scored: 4.60
NL Runs Scored: 4.56
Games: 1853

Overall inter-league (regular season):
Home Win%: .553
AL Runs Scored: 4.85
NL Runs Scored: 4.57
Games: 3712

So whatever advantage NL has when batting at home seems to be offset by not using DH.

Funny thing is that NL has winning record at home although being outscored by A. Their Pythagorean winning percentage at home is .497, their real one .530.

FWIW, AL teams also outperform Pythagoras at home (.575 to .551).

Is this an effect of home team batting less (I couldn’t normalize to per-27-outs because I’m missing data for it)?

Is it just noise?

Or is there any element of managing-to-your-league’s-rules in it? (Having watched Bob Geren fail in an attempt to execute a double switch, I am, at least irrationally, not yet ready to discard this one).

I made a quick-and-dirty correction for the missing home at-bats. In 2011 home team had 94.7% of the away team at bats. So increasing home team’s runs by 100/94.7 ratio, we get:

AL Home
Real Win % .575
Pyth. Win % .575

NL Home
Real Win % .530
Pyth. Win % .522

Anything worth looking at?


#9    Tangotiger      (see all posts) 2011/10/20 (Thu) @ 09:20

It is absolutely that.  It’s terribly deceptive to have the pythag record broken down by home/away, without adjusting for the 27 outs (and without adjusting for runners left on base in the bottom half of 9th or later with less than 3 outs).

I always ignore the pythag record by home/away, and everyone else should do the same.


#10    bojan      (see all posts) 2011/10/20 (Thu) @ 09:52

Yes, the runners left on base is definitely additional factor. The number of outs should be rather fairly covered by the last adjustment (adding some 5% to the home team), but that doesn’t take care of existing base runners.


#11    Tangotiger      (see all posts) 2011/10/20 (Thu) @ 11:01

Existing baserunners is easy enough, given them runs at a rate that they would normally score for that base/out situation.

If you are looking for a quick equation:

chance of scoring
= 0.086
* (base + 0.5)
* (3 - outs)

This gives you:

Base   Outs   ChanceScoring
1    0     0.39 
1    1     0.26 
1    2     0.13 

2    0     0.65 
2    1     0.43 
2    2     0.22 

3    0     0.90 
3    1     0.60 
3    2     0.30

Close enough to reality for something quick that you need.

If someone wants to come up with something more robust, then play around with those arbitrary coefficients, and post your results!


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