Benefit of the Doubt: Batters in the Zone
In my last three posts, I covered the pitchers who got the most out of the strike zone—and those who did not. This week we'll take a look at the zone from the batter's perspective. Now, as I explained earlier in this series, there is no particular skill in working the zone. Whether or not a pitch is favorably, fairly or unfavorably called is dependent on the characteristics of the pitch and the context in which it is thrown. As it turns out, one of the most important factors is batter handedness.
Pitchers—both sinister and dextrous—are at a significant disadvantage when they face right-handed batters. That is to say, right-handed batters are significantly advantaged in terms of the strike zone. Take a look at how much the zone shrinks when a righty comes to the plate:
Not only does the zone shrink, but the umpire takes a way a small chunk of the low zone. In exchange, they give back a bit of the inside corner. So it's not surprising that the least fortunate batters over the last two seasons (minimum 500 called pitches) were lefties, and that the most fortunate righties are far better off than the most fortunate lefties. Take a look:
| Batter | Standing | Called Pitches | Zone Disdvantage | Standard Deviations |
| Aviles, Mike | R | 887 | 1.92% | 0.13 |
| Gomes, Jonny | R | 1,429 | 1.75% | 0.12 |
| Pence, Hunter | R | 2,222 | 1.44% | 0.09 |
| Baker, Jeff | R | 821 | 1.22% | 0.07 |
| Crosby, Bobby | R | 842 | 1.07% | 0.06 |
| Desmond, Ian | R | 941 | 1.06% | 0.06 |
| Helms, Wes | R | 1,022 | 0.98% | 0.05 |
| Soriano, Alfonso | R | 1,727 | 0.98% | 0.05 |
| Phillips, Brandon | R | 2,017 | 0.89% | 0.04 |
| Aybar, Erick | R | 518 | 0.77% | 0.03 |
| // | // | // | // | // |
| Molina, Yadier | R | 1,698 | -4.95% | -0.44 |
| McGehee, Casey | R | 1,819 | -5.28% | -0.47 |
| Pedroia, Dustin | R | 2,437 | -5.42% | -0.48 |
| Salazar, Oscar | R | 603 | -5.47% | -0.49 |
| Rollins, Jimmy | R | 602 | -5.48% | -0.49 |
| Roberts, Brian | R | 696 | -5.60% | -0.50 |
| Young, Michael | R | 2,250 | -5.91% | -0.52 |
| Johnson, Rob | R | 945 | -5.93% | -0.53 |
| Kendall, Jason | R | 1,937 | -6.40% | -0.57 |
| Andrus, Elvis | R | 2,559 | -6.72% | -0.59 |
| Batter | Standing | Called Pitches | Zone Disdvantage | Standard Deviations |
| Walker, Neil | L | 637 | 9.42% | 0.76 |
| Davis, Ike | L | 1,095 | 8.68% | 0.69 |
| Hafner, Travis | L | 1,685 | 8.66% | 0.69 |
| Snider, Travis | L | 953 | 6.82% | 0.54 |
| Reyes, Jose | L | 1,012 | 6.23% | 0.49 |
| Young, Delwyn | L | 851 | 6.11% | 0.48 |
| Schierholtz, Nate | L | 888 | 6.08% | 0.48 |
| Morales, Kendry | L | 1,325 | 5.89% | 0.46 |
| Parra, Gerardo | L | 1,369 | 5.70% | 0.45 |
| Jones, Garrett | L | 1,792 | 5.64% | 0.44 |
| // | // | // | // | // |
| Bard, Josh | L | 570 | -1.23% | -0.13 |
| Thome, Jim | L | 1,732 | -1.50% | -0.16 |
| Cabrera, Everth | L | 1,037 | -1.74% | -0.18 |
| Griffey Jr., Ken | L | 1,243 | -1.77% | -0.18 |
| Gwynn, Tony | L | 1,727 | -1.91% | -0.19 |
| Pena, Carlos | L | 2,149 | -2.23% | -0.22 |
| Langerhans, Ryan | L | 512 | -2.34% | -0.23 |
| Blanco, Gregor | L | 621 | -2.42% | -0.23 |
| Varitek, Jason | L | 767 | -2.87% | -0.27 |
| Vizquel, Omar | L | 937 | -4.27% | -0.39 |
Note: the batters with the lowest zone disadvantage are the most fortunate; switch-hitters are split into separate categories, so that switch-hitters (like Omar Vizquel) appear as Vizquel, L and Vizquel, R.
It's telling that the most fortunate right-handed batters are 0.6 standard deviations from the mean, while the best left-hander is only 0.4 (and the best true lefty is only -0.23). On the other end of the scale, the most disadvantaged lefties are 3/4 of a standard deviation from the mean while the most disadvantaged righty is darn near close to average.
By far the most fortunate right-handed batter over the last two seasons was Elvis Andrus:
Ask yourself if you'd like to try to hit that on a full count with the bases loaded (typical RHB zone superimposed). Same applies to Dustin Pedroia and Jimmy Rollins:

As noted above, we're looking only at Jimmy Rollins' right-handed at bats. Fellow switch-hitter Omar Vizquel has been the most successful when batting left:
In terms of true lefties, the great Junior Griffey got the benefit of the doubt from the boys in blue:
While the officials clearly favor right-handed batters, the substantive effect is rather small. Assuming a batter sees around 20 pitches over the course of the game, 10 of which are called, even an exceptionally advantaged batter such as Andrus would see an extra ball every fifteen games or so. Not for nothing—biases notwithstanding—but the umps do a pretty good job of getting it right, or at least making up for their bad calls with more bad calls that go the other way.
Next week I'll cover the batters who haven't had it so easy—also known as lefties. I'll also post any reader requests from this week and last week. If there's a batter or a pitcher you'd like me to take a closer look at, just go ahead and ask in the comments.
Data originate from Darrell Zimmerman's SQL-based PitchFX database.
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Interesting
Even if it’s only 3 or 4 runs worth of value separating the most advantaged from the most victimized players. Do these correlate strongly from year to year for the hitters?
Is it even 3-4 runs?
In terms of individual hitter year-to-year correlations: no. As I explained in this post and others, the zone is a function of things largely exogenous to batter skill. I’m using certain players here to demonstrate those effects, not to claim that the batters themselves were responsible for the zone.
Blogger and Editor, Rational Pastime Blog. Twitter: @RationalPastime.
Well, just because something's not a skill doesn't mean it's not persistent
If being a lefty is inherently disadvantageous, it could be that, say, having a certain type of batting stance also hurts you with umpires year after year. But if you say it’s ain’t so, I believe you.
Re “3-4 runs”: You implied that a very advantaged hitter would see 10 extra balls over the course of 150 games, and presumably a very disadvantaged hitter might see 10 extra strikes. A difference of 20 strike calls over a season should be around 3 runs, right? (My memory could be off, but I thought a strike vs. a ball was about 1/6 of an expected run.)
You could be right on the math, I was actually asking not doubting. I really don't remember.
As for year-to-year correlation, perhaps I’m missing your point. What I’m saying is that the distribution of bias across players seems to be random at the season level, and that for most players there does not seem to be any favoritism independent of the variables I’ve included in the model.
Blogger and Editor, Rational Pastime Blog. Twitter: @RationalPastime.
Also, not sure ball vs. strike is the right comparo
The Zone Advantage formula measures (errant strikes / called pitches) – (errant balls / called pitches). So shouldn’t the comparison be called strike vs. all other possible outcomes (ball, hit, foul, swinging strike)?
Blogger and Editor, Rational Pastime Blog. Twitter: @RationalPastime.
For those who are forwarded to this link
The next installment in this series is here: http://www.beyondtheboxscore.com/2010/12/8/1860856/benefit-of-the-doubt-lefty-bats-get-the-shaft
Blogger and Editor, Rational Pastime Blog. Twitter: @RationalPastime.

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