While looking into something else, I did the following regressions: ERA was the dependent variable while opponents' OBP & SLG, each with no runners on (NONE) and runners on base (ROB) were the independent variables. The data set included all pitcher seasons of 140+ IP from 2007-2013. There were 740 pitchers. Here is the equation
ERA = 3.21*NONESLG + 7.06*NONEOBP + 6.30*ROBSLG + 7.06*ROBOBP -4.40
The r-squared was .866 and the standard error was .30. The t-values for the independent variables were all at least 10. So it seems, at least on the surface, that SLG has twice the impact on ERA when there are runners on base as when there are no runners on. Maybe if a pitcher's ERA seems high for his underlying stats it could be he has a high OBP with runners on base.
Thursday, June 26, 2014
Wednesday, June 25, 2014
Trout Might Be Second Greatest Young Hitter Ever
The table below shows the OPS+ leaders up through age 22 for guys with 1000+ PAs.
If we go up to age 23, Trout is 4th (or tied for 5th, Musial also gets 169). Williams has 190, Pete Browning has 188 and Cobb has 171. But Browning still only had 1137 PAs.
I estimate that even if Trout has an OPS+ of just 60 the rest of this season, he would still be at 149 or in the top 10. If he can do 158 the rest of the way, he will still be at 167 (he is at 183 so far this year). So he would still be in 2nd place. This is extremely outstanding company that he is in.
For wRC+ that is listed at Fangraphs, he still does very well on the list up through age 22.Fangraphs has Jackson being born in 1889 while Baseball Reference has 1887
Rk
|
Player
|
OPS+
|
PA
|
From
|
To
|
1
|
Ted Williams
|
182
|
1942
|
1939
|
1941
|
2
|
Mike Trout
|
169
|
1813
|
2011
|
2014
|
3
|
Stan Musial
|
166
|
1285
|
1941
|
1943
|
4
|
Ty Cobb
|
163
|
2486
|
1905
|
1909
|
5
|
Jimmie Foxx
|
159
|
1976
|
1925
|
1930
|
6
|
Albert Pujols
|
154
|
1351
|
2001
|
2002
|
7
|
Eddie Mathews
|
153
|
1874
|
1952
|
1954
|
8
|
Rogers Hornsby
|
150
|
1665
|
1915
|
1918
|
9
|
Tris Speaker
|
150
|
1359
|
1907
|
1910
|
10
|
Eddie Collins
|
150
|
1066
|
1906
|
1909
|
11
|
Mickey Mantle
|
148
|
2201
|
1951
|
1954
|
12
|
Joe DiMaggio
|
147
|
1361
|
1936
|
1937
|
13
|
Mel Ott
|
147
|
2644
|
1926
|
1931
|
If we go up to age 23, Trout is 4th (or tied for 5th, Musial also gets 169). Williams has 190, Pete Browning has 188 and Cobb has 171. But Browning still only had 1137 PAs.
I estimate that even if Trout has an OPS+ of just 60 the rest of this season, he would still be at 149 or in the top 10. If he can do 158 the rest of the way, he will still be at 167 (he is at 183 so far this year). So he would still be in 2nd place. This is extremely outstanding company that he is in.
For wRC+ that is listed at Fangraphs, he still does very well on the list up through age 22.Fangraphs has Jackson being born in 1889 while Baseball Reference has 1887
Joe Jackson | 181 |
Ted Williams | 177 |
Stan Musial | 170 |
Mike Trout | 166 |
Jimmie Foxx | 160 |
Ty Cobb | 159 |
Albert Pujols | 154 |
Eddie Collins | 151 |
Eddie Mathews | 150 |
Mickey Mantle | 149 |
Tris Speaker | 149 |
Mel Ott | 147 |
Rogers Hornsby | 146 |
Joe DiMaggio | 144 |
Friday, June 20, 2014
How Good Was Sandy Koufax Outside of Dodger Stadium?
I originally posted this to Beyond the Box Score in 2006.
Probably every baseball fan knows who Sandy Koufax was and
that he was a great pitcher back in the 1960s. Some evidence shows that he was
great. Here are the best ten ERAs in all of baseball from 1962-1966 (the years
Koufax pitched in Dodger Stadium) for pitchers with 810 or more innings
pitched:
1 Sandy Koufax 1.95
2 Juan
Marichal 2.50
3 Gary Peters 2.58
4 Whitey Ford 2.74
5 Don Drysdale 2.75
6 Bob Veale 2.75
7 Dean Chance 2.77
8 Jim Maloney 2.79
9 Joe Horlen 2.83
10 Bob Gibson 2.95
(the 810 IP works out to 162 per season). Pretty impressive
lead for Koufax. But Dodger Stadium favored the pitchers. Here are its park
factors for the 1962-66 seasons from the STATS, INC. All-Time Baseball
Sourcebook:
Year
|
Run Factor
|
HR Factor
|
1962
|
82(1)
|
50(1)
|
1963
|
84(1T)
|
63(2)
|
1964
|
78(1)
|
62(1)
|
1965
|
76(1)
|
49(1)
|
1966
|
86(1)
|
70(2)
|
The 82 for the run factor in 1962 means that the number of
runs scored in Dodger Stadium was only 82% of the National League average. The
number in parentheses indicates Dodger Stadium’s rank in how much it favored
the pitchers. That is, the 82 for run factor in 1962 was the lowest in the
league. The 84 in 1963 was tied. It is pretty clear that Koufax pitched in a
great park for pitchers. To adjust for park factors, the table below shows the
NL leaders in RSAA from 1962-66. RSAA
comes from the Lee Sinins' Complete Baseball Encyclopedia. Here is the
definition: "RSAA--Runs saved against average. It's the amount of runs
that a pitcher saved vs. what an average pitcher would have allowed." It is
also park adjusted, so that pitchers who pitch in good hitter's parks get an
adjustment upward in their RSAA, and vice-versa. A below average pitcher will
have a negative RSAA.
1 Sandy Koufax 194
2 Juan
Marichal 172
3 Bob Gibson 131
4 Jim Maloney 114
5 Jim Bunning 92
6 Don Drysdale 84
7 Bob Veale 82
8 Larry
Jackson 68
9 Chris Short 64
10 Bob Friend 55
Koufax has a pretty big edge over the number two man,
Marichal, even with the park factors taken into account (the factors used in
the Lee Sinins' Complete Baseball Encyclopedia are not necessarily the same as
those in the STATS, INC. All-Time Baseball Sourcebook). Of course, this period
covers Koufax’s prime and may not cover the exact prime years of anyone else.
This was definitely not the best five-year performance any pitcher ever had
(see my article below called “The Best Five-Year Pitching
Performances”). http://cybermetric.blogspot.com/2014/06/the-best-five-year-pitching-performances.html
Adjusting for park factors does not always tell the whole
story. Some pitchers benefit disproportionately from their parks. Koufax had a
1.37 ERA in home games over this period while it was 2.57 in road games (data
from Retrosheet). The home/road ratio was .533. That means that he allowed only
about 53.3% as many runs at home as he did on the road. Looking at Table 2, we
can see that the normal rate was about 80% for Dodger Stadium. So yes, Koufax
did benefit alot more than normal from his park. Koufax also allowed 55 HRs in
road games while facing 2,681 batters for a rate of 2.05%. At home, it was
34/2,714 for a rate of 1.25%. Since 1.25/2.05 is about .61, it means his HR
rate at home was 61% of what it was on the road. The average HR factor for
Dodger Stadium from 1962-66, weighted by Koufax’s IP in each season, was 59.35,
just a little under 61. So Koufax, when it comes to HRs, benefited from Dodger
Stadium, but just a little less than average. He had a 5.31 strikeout-to-walk
ratio at home and 3.97 on the road.
Over the 1962-66 period, the average ERA in home games was
3.40 and 3.76 on the road for all NL pitchers. So the home/road ratio was .904.
That far exceeds Koufax’s .533. Koufax’s differential of 1.20 was far higher
than the normal differential of .36. Another way to look at this is to look at
the ERA at Dodger Stadium vs. the ERA compiled in Dodger road games. All
pitchers (minus Koufax), both Dodgers and their opponents, had an ERA of 3.10
in games at Dodger Stadium. In road games, it was 3.69. So the ratio is .84
(3.10/3.69). Again, that is far higher than for Koufax. The differential of .59
is only half of what it was for Koufax.
I also compared Koufax to some of the other good NL pitchers
from this time by using their stats in neutral parks. For example, I looked at
how Koufax and Juan Marichal did outside of both Dodger Stadium and Candlestick
Park where the Giants played. The table below shows how Koufax compares to
Marichal, Bob Gibson and Jim Bunning (only over the years 1964-66 since those
were the only years Bunning was in the NL while Koufax pitched in Dodger
Stadium).
Pitcher
|
ERA
|
SO/BB
|
HR%
|
IP
|
Koufax
|
2.47
|
4.24
|
2.00
|
576.667
|
Marichal
|
2.46
|
3.86
|
2.49
|
608.667
|
Pitcher
|
ERA
|
SO/BB
|
HR%
|
IP
|
Koufax
|
2.56
|
3.94
|
2.00
|
580.667
|
Gibson
|
2.48
|
2.32
|
1.52
|
628.667
|
Pitcher
|
ERA
|
SO/BB
|
HR%
|
IP
|
Koufax
|
2.56
|
4.02
|
2.19
|
361.667
|
Bunning
|
2.43
|
4.73
|
1.58
|
385.667
|
These other three pitchers put up numbers comparable to
Koufax while pitching in neutral parks. But I don’t think it is clear how this
should change our ranking or perception of Koufax. These other guys were good,
if not great pitchers, too. And this analysis, of course, looks at less than
half of Koufax’s IP in this period. On the other hand, it suggests that Koufax
was not as far above his competition as we normally think.