A SABR friend, Tom Thayer, raised this issue. So I calculated the harmonic mean of batting WAR (BWAR) and pitching WAR (PWAR) for a few different players (some of whom were suggested by Jessica Brand, Emory Brinkman and Adam Darowski).
Harmonic = (2*BWAR*PWAR)/(BWAR + PWAR)
It is like the Bill James Speed Score that uses HRs ans SBs.
The table below has the "Batting-Pitching Score" for each guy as Harmonic. For the guys whose teams played fewer than 162 games, I gave them a pro-rated score (see Per 162). Ohtani compares very well. Anyone ahead of him was more than 90 years ago.
This is not a top 10 or leader list. I can't think of anyone else since 1945 who might do well. But if anyone has any suggestions, please let me know.
Player |
Year |
BWAR |
PWAR |
Harmonic |
Team G |
Per 162 |
Whitney |
1883 |
2.1 |
11.4 |
3.55 |
98 |
5.86 |
Caruthers |
1886 |
3.9 |
7.6 |
5.15 |
139 |
6.01 |
Foutz |
1886 |
1.3 |
9.7 |
2.29 |
139 |
2.67 |
Terry |
1890 |
1.4 |
4.9 |
2.18 |
129 |
2.73 |
Stivetts |
1891 |
1.4 |
7.7 |
2.37 |
139 |
2.76 |
Ruth |
1918 |
4.7 |
2.3 |
3.09 |
126 |
3.97 |
Ruth |
1919 |
9.1 |
0.8 |
1.47 |
138 |
1.73 |
Rogan |
1925 |
1.9 |
7.4 |
3.02 |
84 |
5.83 |
Dihigo |
1929 |
3.2 |
1.6 |
2.13 |
62 |
5.57 |
Ferrell |
1935 |
2.4 |
8.2 |
3.71 |
154 |
3.91 |
Ohtani |
2021 |
4.9 |
4.1 |
4.46 |
162 |
4.46 |
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