Thursday, February 28, 2013

Bats/Throws: summary

February 2013 posts, which include many graphs, deal almost exclusively with batter handedness in baseball, which is not symmetrical like football or basketball.  This post will summarize some of the findings.  It started with:

Wednesday, February 6, 2013
Imaginary strike zone can be made real: a unifying theory.

lefty batters getting an extremely unfair advantage by having their batters box significantly closer not only to first base but to all the bases, thus making it easier for lefties to not only get singles but also doubles and triples;
__________________________________________

Definitions:
Both: switch hitters
RR: bats right, throws right
RL: bats right, throws left
LR: bats left, throws right
LL: bats left, throws left
BR: bats both, throws right
BL: bats both, throws left

Saturday, February 9, 2013 Batters: better to be lefty.

Contains graphs for AL and NL seasons 1903-2007, which clearly shows that lefty batters have higher batting average (BA) and slugging average (SLG) than righties.
___________________________________________

Monday, February 11, 2013 Batters: Lefty v. Righty "Plate Appearances"

This is the first of s series of posts to examine just how much of an advantage it is to bat lefty since that batters box is closer to all the bases ...

gobs of data for seasons 1903 through 2012

Percent of batter plate appearances (PA):
        Righty    Lefty
Min 58.49% 32.50%
Max 67.50% 41.51%
Ave 63.55% 36.45%

recent seasons:
        Righty    Lefty
2000 63.74% 36.26%
2001 63.69% 36.31%
2002 62.35% 37.65%
2003 63.42% 36.58%
2004 62.75% 37.25%
2005 62.99% 37.01%
2006 65.65% 34.35%
2007 64.43% 35.57%
2008 61.86% 38.14%
2009 61.17% 38.83%
2010 62.96% 37.04%
2011 61.67% 38.33%
2012 60.42% 39.58%

Including switch hitters:

        Righty    Lefty    Both
Min 51.34% 27.07% 2.57%
Max 63.71% 39.47% 19.99%
Ave 57.75% 33.16% 9.09%

The high for switch hitters was 1992.

For recent seasons:
        Righty    Lefty    Both
2000 54.91% 31.23% 13.86%
2001 54.39% 31.00% 14.61%
2002 53.26% 32.17% 14.57%
2003 53.32% 30.75% 15.94%
2004 52.41% 31.11% 16.48%
2005 53.09% 31.19% 15.72%
2006 55.62% 29.10% 15.28%
2007 54.37% 30.02% 15.61%
2008 53.30% 32.86% 13.84%
2009 51.34% 32.59% 16.06%
2010 54.04% 31.79% 14.16%
2011 52.88% 32.86% 14.26%
2012 52.18% 34.18% 13.64%
_________________________________

The next post showed a count of batters.

Here is the range of percentages for the seasons examined, excluding switch hitters, since their data is not broken down.

        Righty    Lefty
Min 65.76% 27.00%
Max 73.00% 34.24%
Ave 69.21% 30.79%

Max for righty batters was 1943, for lefties 1925.
__________________________________

Wednesday, February 13, 2013 Batters Height & Weight 1903-2012

Height in inches:
       Righty Lefty Both
Min 70.20 69.97 70.15
Max 73.89 73.80 72.71
Ave 72.38 72.12 71.68

Weight in pounds:
       Righty Lefty Both
Min 172.17 168.88 168.22
Max 210.49 208.86 199.87
Ave 185.51 183.36 179.74
___________________________________

Thursday, February 14, 2013 Pitchers: Lefty v. Righty Innings

Year  Right% Left%
Min 64.07% 18.33%
Max 81.67% 35.93%
Ave 72.98% 27.02%

2010 72.14% 27.86%
2011 73.37% 26.63%
2012 70.10% 29.90%

For batter plate appearances (PA), the annual average for righty batters was about 63.5%.  For righty pitchers it's about 73%.  This suggests that righty batters face righty pitchers more than lefty batters face lefty pitchers.  That would probably be helpful to lefty batters.
_____________________________________

Thursday, February 14, 2013 Percent Righty: Batters & Pitchers 1903-2012

Percent righty (batters do not include switch hitters):
Most recent seasons:
Year  Batters Pitchers
2000 63.74% 75.61%
2001 63.69% 76.05%
2002 62.35% 74.85%
2003 63.42% 73.05%
2004 62.75% 72.79%
2005 62.99% 73.37%
2006 65.65% 73.06%
2007 64.43% 72.90%
2008 61.86% 71.86%
2009 61.17% 72.64%
2010 62.96% 72.14%
2011 61.67% 73.37%
2012 60.42% 70.10%

         Batters Pitchers  1903-2012
Min 58.49% 64.07%
Max 67.50% 81.67%
Ave 63.55% 72.98%
____________________________________________

Friday, February 15, 2013 Six degrees of separation for batters or what's unique about Rickey Henderson?

There are six ways to consider batter handedness - here they are with counts and percentages of batters with at least 5,000 PA ...

- 99.6% of righty batters throw righty
- only 42.2% of lefty batters throw lefty; this suggests that some lefty batters may be opportunists trying to take some of the advantage of switch hitting; see below
- 93.9% of switch hitters throw righty, which makes sense as they are generally smaller than batters who only bat from one side of the plate and are trying to take advantage of the fact that over 70% of pitches are thrown by righty pitchers AND the silly rule that let's lefty batters stand closer to the bases.  Smaller players are probably faster and take even more advantage of the closer bases.  This will be explored in future posts.

Let's take a slightly different look at the percentages for the 836 batters with at least 5,000 PA followed by the batter with the most PA in each group:

bats throws
right right 54.90% Hank Aaron
left right   19.14% Carl Yastrzemski
left left     14.00% Stan Musial
both right 11.00% Pete Rose
both left     0.72% Lance Berkman
right left     0.24% Rickey Henderson

Top ten or so by PA.  Here is a description of each

RR: 8 of 10 Hall of Fame plus Jeter and Biggio

LR: 8 of 10 Hall of Fame plus Staub and Darrell Evans

LL: 6 of 11 Hall of Fame plus Griffey

BR: 6 of 11 Hall of Fame plus Rose, Chipper Jones, Raines

BL: six, none in Hall of Fame; Berkman by far the best
________________________________________

Monday, February 18, 2013 Batters throwing

Previous post dealt only with the 836 batters who had at least 5,000 plate appearances (PA) in a career ...

This post has data for all batters.  PA here is simply at bats (AB) + Bases on Balls (BB).  Here are summary percentages in two groups:

        Right      Left   Both                   RR      RL       LL         LR       BR      BL
Min 51.34% 27.07% 2.57%         50.50% 0.22% 10.76% 11.67% 2.09% 0.05%
Max 63.71% 39.47% 19.99%      63.49% 1.92% 18.43% 26.16% 19.10% 1.84%
Ave 57.75% 33.16% 9.09%         56.94% 0.81% 13.95% 19.21% 8.43% 0.66%
__________________________________________

Tuesday, February 19, 2013 Bats/Throws: Batting Average (BA)

For seasons 1903-2012:
                   RR    RL    LR     LL    BR    BL
Min         0.232 0.092 0.244 0.240 0.209 0.078
Max        0.289 0.287 0.308 0.319 0.290 0.321
Ave         0.257 0.208 0.273 0.271 0.260 0.224
__________________________________________

Sunday, February 24, 2013 Bats/Throws: Batting Average on Balls in Play

Strike out (SO) stats are not available before 1910, so this data set includes seasons 1910-2012 for the American League and the National League.  

BAbip: ([H]-[HR])/([AB]-[HR]-[SO])
                  RR     RL     LR     LL    BR     BL
Min        0.256 0.141 0.270 0.271 0.239 0.127
Max       0.307 0.353 0.320 0.329 0.314 0.340
Ave        0.285 0.255 0.294 0.295 0.287 0.269

Singles BAbip:
BAbip1B: ([1B])/([AB]-[HR]-[3B]-[2B]-[SO])
                  RR     RL     LR     LL    BR     BL
Min        0.215 0.124 0.227 0.221 0.211 0.119
Max       0.254 0.311 0.267 0.270 0.258 0.289
Ave       0.237 0.217 0.244 0.244 0.241 0.227

Doubles BAbip:
BAbip2B: ([2B])/([AB]-[HR]-[3B]-[1B]-[SO])
                  RR     RL     LR     LL    BR     BL
Min        0.048 0.009 0.045 0.048 0.029 0.000
Max       0.092 0.120 0.095 0.095 0.090 0.132
Ave        0.070 0.054 0.071 0.073 0.065 0.059

Triples BAbip:
BAbip3B: ([3B])/([AB]-[HR]-[2B]-[1B]-[SO])
                  RR     RL     LR     LL    BR     BL
Min        0.008 0.000 0.007 0.010 0.005 0.000
Max       0.023 0.029 0.030 0.033 0.024 0.052
Ave        0.013 0.010 0.016 0.017 0.015 0.013
_________________________________________

Monday, February 25, 2013 Bats/Throws: BAbip percent differences

Batting average (BA) is for seasons 1903-2012.  BAbip (BA on balls in play) is for seasons 1910-2012.

                 RL     LR     LL     BR        BL
BA    -19.05% 6.08% 5.41% 1.00% -12.99%
BAbip -10.26% 3.15% 3.82% 0.90% -5.40%
BAbip1B -8.31% 3.03% 3.14% 1.86% -3.91%
BAbip2B -22.86% 2.58% 5.13% -5.96% -15.60%
BAbip3B -23.69% 24.62% 34.25% 16.60% -0.40%

Batters who bat right and throw right (RR) are the base and the percent difference is from RR.  These are the averages for the seasons, not pure averages in the aggregate, i.e., each season counts the same regardless of the number of plate appearances (PA).

In plain old fashion BA lefty batters exceed RR: LR by 6%, LL by 5.4%.

Lefties have a whopping advantage on triples.  Why?  Beats me.

And in all four BAbip there's clearly a different advantage over righties between lefties depending on how they throw.  LL beat LR in each.

I recent seasons lefties still do a lot better in triples, especially LL, and LL continue to have the edge in all four BAbip over LR.  However, RR now have higher BA and the lefty lead in BAbip has shrunk.
______________________________________________

Monday, February 25, 2013 Maybe Derek Jeter isn't as good as we think or what happens to all those lefty throwers?

Since about 17% of all PA are by southpaws and since they can only play 50% of the 8 every day fielding positions, then about 34% of the PA for 1B and OF are by southpaws and no PA at SS, 2B, 3B, C are by lefty throwers.
_____________________________________________

Tuesday, February 26, 2013 Bats/Throws: percent of hits that are home runs

For seasons 1903-2012 American and National Leagues:
             RR        RL       LR          LL       BR        BL
Min    1.26%   0.00%  0.90%    1.57%   0.44%   0.00%
Max 13.13% 20.85% 13.62% 14.15% 10.51% 21.13%
Ave   7.54%   5.44%   7.64%    7.94%   5.24%   5.02%

In recent seasons the three main groups (RR, LR, LL) are pretty close.  The next largest group (BR) is clearly behind in HR hitting.
____________________________________________

Wednesday, February 27, 2013 Bats/Throws: Home Run rate

Home Run average (HRa): Home runs (HR) / at bats (AB).  Higher is better.

For seasons 1903-2012 American and National Leagues:
             RR        RL       LR       LL      BR       BL
Min  0.0030 0.0000 0.0023 0.0041 0.0011 0.0000
Max 0.0347 0.0511 0.0368 0.0391 0.0271 0.0554
Ave  0.0194 0.0118 0.0207 0.0214 0.0137 0.0125

Both historically and in recent seasons switch hitters hit the fewest HR per AB.  This is a reflection of the size of the batters.  Switch hitters are smaller than one siders: shorter and lighter.  And the gap has been increasing in recent seasons.  Remember, there are very few RL and BL batters.
___________________________________________________

Wednesday, February 27, 2013 Bats/Throws: Strike Out rate

Strike Out (SO) / at bats (AB).  Lower is better.  Shown as a percentage.

For seasons 1903-2012 American and National Leagues:
             RR        RL       LR       LL      BR       BL
Min  5.44% 3.63% 4.58% 5.85% 6.11% 7.59%
Max 21.89% 41.96% 23.00% 22.67% 19.91% 44.62%
Ave  14.34% 22.58% 12.12% 13.60% 12.70% 20.35%

Wow.  Traditionally, the highest SO rate is for RL, although the most prominent such batter does not fit that description: Ricky Henderson.  Next worst is BL, the other group with few batters.  The lowest SO rate is for LR; Ted Williams does fit.

In recent seasons the three main groups (RR, LR, LL) are pretty even.
_________________________________________________________

Thursday, February 28, 2013 Bats/Throws: Isolated Power

ISO = (TB - 1B) / AB

For seasons 1903-2012 American and National Leagues:
             RR        RL       LR       LL      BR       BL
Min  0.0650 0.0122 0.0592 0.0715 0.0420 0.0000
Max 0.1662 0.2296 0.1740 0.1848 0.1493 0.2522
Ave  0.1187 0.0788 0.1280 0.1318 0.1019 0.0883

Bats/Throws: Isolated Power

Isolated Power (ISO): Slugging Percentage (SLG) minus Batting Average (BA).  This removes singles from SLG. ISO is extra bases per at bat (AB).  Or:

Total Bases (TB): (1B)+(2B*2)+(3B*3)+(HR*4)

ISO = (TB - 1B) / AB

Definitions:
Both: switch hitters
RR: bats right, throws right
RL: bats right, throws left
LR: bats left, throws right
LL: bats left, throws left
BR: bats both, throws right
BL: bats both, throws left


For seasons 1903-2012 American and National Leagues:
             RR        RL       LR       LL      BR       BL
Min 0.0650 0.0122 0.0592 0.0715 0.0420 0.0000
Max 0.1662 0.2296 0.1740 0.1848 0.1493 0.2522
Ave 0.1187 0.0788 0.1280 0.1318 0.1019 0.0883

Recent seasons:

Year RR RL LR LL BR BL
2000 0.1662 0.1168 0.1691 0.1848 0.1467 0.1834
2001 0.1584 0.1238 0.1737 0.1794 0.1483 0.2170
2002 0.1527 0.1081 0.1630 0.1736 0.1360 0.2251
2003 0.1592 0.1474 0.1670 0.1618 0.1393 0.1859
2004 0.1612 0.1080 0.1724 0.1693 0.1459 0.2099
2005 0.1553 0.1735 0.1609 0.1575 0.1386 0.1985
2006 0.1603 0.1697 0.1740 0.1681 0.1493 0.2176
2007 0.1538 0.1935 0.1696 0.1571 0.1352 0.1789
2008 0.1512 0.2296 0.1647 0.1560 0.1295 0.1786
2009 0.1548 0.1676 0.1656 0.1617 0.1354 0.2011
2010 0.1461 0.1413 0.1569 0.1506 0.1220 0.1559
2011 0.1450 0.1220 0.1377 0.1499 0.1380 0.1846
2012 0.1529 0.1747 0.1528 0.1496 0.1372 0.1641

Wednesday, February 27, 2013

Bats/Throws: Strike Out rate

Strike Out (SO) / at bats (AB).  Lower is better.  Shown as a percentage.

Definitions:
Both: switch hitters
RR: bats right, throws right
RL: bats right, throws left
LR: bats left, throws right
LL: bats left, throws left
BR: bats both, throws right
BL: bats both, throws left

For seasons 1903-2012 American and National Leagues:
             RR        RL       LR       LL      BR       BL
Min 5.44% 3.63% 4.58% 5.85% 6.11% 7.59%
Max 21.89% 41.96% 23.00% 22.67% 19.91% 44.62%
Ave 14.34% 22.58% 12.12% 13.60% 12.70% 20.35%

Recent seasons:

Year RR RL LR LL BR BL
2000 0.1898 0.2367 0.1899 0.1835 0.1752 0.2102
2001 0.1992 0.2734 0.1882 0.1869 0.1900 0.2266
2002 0.1911 0.3138 0.1942 0.1830 0.1803 0.2239
2003 0.1893 0.2895 0.1815 0.1806 0.1728 0.2158
2004 0.1932 0.3366 0.1923 0.1872 0.1771 0.1872
2005 0.1879 0.2367 0.1855 0.1857 0.1650 0.2033
2006 0.1906 0.2502 0.1967 0.1973 0.1639 0.2070
2007 0.1925 0.2412 0.2017 0.1960 0.1717 0.2058
2008 0.1969 0.2808 0.2061 0.2084 0.1679 0.2109
2009 0.2014 0.2490 0.2157 0.2106 0.1811 0.2011
2010 0.2049 0.2623 0.2179 0.2219 0.1832 0.2239
2011 0.2089 0.2754 0.2152 0.2111 0.1892 0.1990
2012 0.2189 0.3062 0.2300 0.2267 0.1991 0.2190

Wow.  Traditionally, the highest SO rate is for RL, although the most prominent such batter does not fit that description: Ricky Henderson.  Next worst is BL, the other group with few batters.  The lowest SO rate is for LR; Ted Williams does fit.

In recent seasons the three main groups (RR, LR, LL) are pretty even.

Bats/Throws: Home Run rate

Home Run average (HRa): Home runs (HR) / at bats (AB).  Higher is better.

Definitions:
Both: switch hitters
RR: bats right, throws right
RL: bats right, throws left
LR: bats left, throws right
LL: bats left, throws left
BR: bats both, throws right
BL: bats both, throws left

For seasons 1903-2012 American and National Leagues:
             RR        RL       LR       LL      BR       BL
Min 0.0030 0.0000 0.0023 0.0041 0.0011 0.0000
Max 0.0347 0.0511 0.0368 0.0391 0.0271 0.0554
Ave 0.0194 0.0118 0.0207 0.0214 0.0137 0.0125

Recent seasons:

Year RR RL LR LL BR BL
2000 0.0347 0.0214 0.0334 0.0391 0.0267 0.0377
2001 0.0323 0.0257 0.0358 0.0378 0.0263 0.0434
2002 0.0303 0.0225 0.0324 0.0357 0.0231 0.0554
2003 0.0324 0.0337 0.0339 0.0314 0.0240 0.0372
2004 0.0328 0.0170 0.0368 0.0340 0.0264 0.0441
2005 0.0310 0.0371 0.0329 0.0296 0.0238 0.0431
2006 0.0320 0.0417 0.0359 0.0318 0.0271 0.0542
2007 0.0302 0.0440 0.0327 0.0293 0.0224 0.0377
2008 0.0296 0.0511 0.0321 0.0305 0.0203 0.0386
2009 0.0313 0.0382 0.0331 0.0314 0.0219 0.0443
2010 0.0289 0.0271 0.0309 0.0281 0.0198 0.0305
2011 0.0288 0.0246 0.0246 0.0287 0.0232 0.0403
2012 0.0312 0.0396 0.0304 0.0282 0.0245 0.0327

Both historically and in recent seasons switch hitters hit the fewest HR per AB.  This is a reflection of the size of the batters.  Switch hitters are smaller than one siders: shorter and lighter.  And the gap has been increasing in recent seasons.  Remember, there are very few RL and BL batters.  See this post:

Wednesday, February 13, 2013
Batters Height & Weight 1903-2012

Tuesday, February 26, 2013

Bats/Throws: percent of hits that are home runs

Click link to view data and graph.  HR%: home runs (HR) / Hits.

Definitions:
Both: switch hitters
RR: bats right, throws right
RL: bats right, throws left
LR: bats left, throws right
LL: bats left, throws left
BR: bats both, throws right
BL: bats both, throws left

For seasons 1903-2012 American and National Leagues:
             RR        RL       LR          LL       BR        BL
Min    1.26%   0.00%  0.90%    1.57%   0.44%   0.00%
Max 13.13% 20.85% 13.62% 14.15% 10.51% 21.13%
Ave   7.54%   5.44%   7.64%    7.94%   5.24%   5.02%

Recent seasons:
Year RR RL LR LL BR BL
2000 0.1290 0.0865 0.1232 0.1415 0.0985 0.1293
2001 0.1243 0.1176 0.1316 0.1410 0.0980 0.1490
2002 0.1177 0.1103 0.1218 0.1332 0.0878 0.2113
2003 0.1237 0.1450 0.1257 0.1177 0.0906 0.1372
2004 0.1239 0.0882 0.1362 0.1259 0.0999 0.1467
2005 0.1181 0.1555 0.1240 0.1100 0.0891 0.1718
2006 0.1194 0.2085 0.1318 0.1174 0.0998 0.1951
2007 0.1131 0.1934 0.1221 0.1092 0.0823 0.1406
2008 0.1137 0.1967 0.1207 0.1159 0.0737 0.1502
2009 0.1207 0.1536 0.1253 0.1181 0.0818 0.1709
2010 0.1121 0.1127 0.1201 0.1080 0.0773 0.1201
2011 0.1138 0.1124 0.0970 0.1105 0.0899 0.1460
2012 0.1221 0.1725 0.1207 0.1104 0.0963 0.1238

In recent seasons the three main groups (RR, LR, LL) are pretty close.  The next largest group (BR) is clearly behind in HR hitting.

Monday, February 25, 2013

Maybe Derek Jeter isn't as good as we think or what happens to all those lefty throwers?

In 2012 about 16.9% of plate appearances (PA) were by left handed throwers.  See post:

Monday, February 18, 2013
Batters throwing

It doesn't matter how they bat.  They are precluded from playing half of the 8 every day fielding positions.

Derek Jeter and those who play shortstop, second base, third base and catcher do not need to be concerned about southpaw (lefty) non-pitchers (non designated hitters, too).  Jeter only needs to be better than players who throw right handed.  Lefty non-pitchers are confined to first base (1B) and the outfield (OF).

Since about 17% of all PA are by southpaws and since they can only play 50% of the 8 every day fielding positions, then about 34% of the PA for 1B and OF are by southpaws and no PA at SS, 2B, 3B, C are by lefty throwers.

Two lessons:

1. Young right handed players should learn to play SS, 2B, 3B, C because there's much less competition.

2. Teams should avoid southpaw batters as their use is limited.

Players with at least 70% of games at a position and at least 5,000 PA and OPS+ >= 110:

SS:
Rk Player OPS+ PA From To Age G AB R H 2B 3B HR RBI BB IBB SO HBP SH SF GDP SB CS BA OBP SLG OPS Pos Tm
1 Honus Wagner 153 9640 1901 1917 27-43 2298 8507 1414 2766 506 210 78 1375 836 648 99 198 601 26 .325 .392 .462 .853 *63/957481 PIT
2 Arky Vaughan 136 7722 1932 1948 20-36 1817 6622 1173 2103 356 128 96 926 937 276 46 116 70 118 .318 .406 .453 .859 *65/74 PIT-BRO
3 Nomar Garciaparra 124 6116 1996 2009 22-35 1434 5586 927 1747 370 52 229 936 403 54 554 59 5 63 129 95 31 .313 .361 .521 .882 *63/5D4 BOS-TOT-CHC-LAD-OAK
4 Lou Boudreau 120 7024 1938 1952 20-34 1646 6029 861 1779 385 66 68 789 796 309 34 164 155 51 50 .295 .380 .415 .795 *6/5342 CLE-BOS
5 Vern Stephens 119 7241 1941 1955 20-34 1720 6497 1001 1859 307 42 247 1174 692 0 685 6 37 8 169 25 22 .286 .355 .460 .815 *65/79 SLB-BOS-TOT-BAL
6 Joe Cronin 119 8840 1926 1945 19-38 2124 7579 1233 2285 515 118 170 1424 1059 700 34 166 57 87 71 .301 .390 .468 .857 *6/5347 PIT-WSH-BOS
7 Derek Jeter 117 11895 1995 2012 21-38 2585 10551 1868 3304 524 65 255 1254 1039 38 1743 163 89 53 269 348 95 .313 .382 .448 .829 *6/D NYY
8 Barry Larkin 116 9057 1986 2004 22-40 2180 7937 1329 2340 441 76 198 960 939 66 817 55 59 67 178 379 77 .295 .371 .444 .815 *6/4D CIN
9 Jim Fregosi 113 7403 1961 1978 19-36 1902 6523 844 1726 264 78 151 706 715 48 1097 32 79 53 125 76 40 .265 .338 .398 .736 *635/D74 LAA-CAL-NYM-TOT-TEX-PIT
10 Luke Appling 113 10254 1930 1950 23-43 2422 8856 1319 2749 440 102 45 1116 1302 528 11 74 129 179 108 .310 .399 .398 .798 *6/543 CHW
11 Cal Ripken 112 12883 1981 2001 20-40 3001 11551 1647 3184 603 44 431 1695 1129 107 1305 66 10 127 350 36 39 .276 .340 .447 .788 *65/D BAL
12 Alan Trammell 110 9376 1977 1996 19-38 2293 8288 1231 2365 412 55 185 1003 850 48 874 37 124 76 156 236 109 .285 .352 .415 .767 *6/D5478 DET
Provided by Baseball-Reference.com: View Play Index Tool Used
Generated 2/25/2013.
Arky Vaughan is the only player who batted either both or lefty; OPS+ 136.  Obviously, they all threw righty.  Jeter is #7 with OPS+ 117.  How would that do at the positions at which lefty throwers are concentrated?

1B:
72 players led by Lou Gehrig: OPS+179.  Gehrig batted and threw lefty.
33 throw lefty: 46%.  (31 of the 33 also bat lefty)

OF:
184 players led by Babe Ruth: OPS+ 206.  Ruth batted and threw lefty.
39 throw lefty: 21%