So You Want Value?
Every year, a discussion of the definition of “value” inevitably comes up in the context of the MVP awards. That discussion is particularly prominent this year with Mike Trout, who was inarguably the best player in the American League, unlikely to win the award because his team sucked. The anti-Trout side of the argument goes: the MVP is for the most valuable player, and you can’t be that valuable if your team didn’t win anything.
But value goes both ways. If the Angels would have had the same season result – no playoffs – with or without Trout, the same can be said for, say, the Cubs and Kris Bryant. Bryant or no Bryant, the Cubs almost certainly would have won their division and probably would have still held the National League’s best record. Bryant, however, is likely to be announced tonight as the NL MVP, whereas Trout will probably get a fourth (!) consolation prize. Bryant wasn’t really all that crucial to his team’s success; his value is diminished by the fact that his teammates didn’t need him!
Now, that argument might sound silly, but I don’t know that it’s that much sillier than the argument against Trout. Taking the word “value” literally, the question becomes: who was most important to their team’s success? If you want to get into the nitty-gritty of value, isn’t that what you’re really asking?
To that end, I created a way of looking at how many wins each MVP candidate contributed to their specific team. I did this by subtracting each player’s offensive runs created (“Off” on our leaderboards) from their team’s runs scored and adding each player’s defensive runs saved (“Def”) to their team’s runs allowed. I then recalculated the team’s Pythagorean record. The result is a sort of wins-above-average-per-162 statistic, specific to the team, which allows us to assess where on the win curve the team would have been left without the player.
The win curve part is important because it allows for a distinction between a player like Bryant, who makes his team’s Pythagorean record budge from 107 wins to 102, and a player like Corey Seager, whose team goes from 90 to 85 – a much more drastic change in playoff chances.
So here are several top performers from both leagues, sorted entirely unscientifically by what looked to me like the most impressive contribution to their team.
Player | Team | Off | Def | Wins Added Over Avg | Win Change | WAR |
Josh Donaldson | TOR | 46.3 | 4.2 | 5.08 | 90.6 » 85.6 | 7.6 |
Mookie Betts | BOS | 40.7 | 10.6 | 4.48 | 98.2 » 93.7 | 7.8 |
Francisco Lindor | CLE | 10.8 | 27.7 | 3.97 | 91.3 » 87.3 | 6.3 |
Robinson Cano | SEA | 30.5 | 3.4 | 3.34 | 87.1 » 83.8 | 6.0 |
Kyle Seager | SEA | 24.4 | 6.0 | 3.01 | 87.1 » 84.1 | 5.5 |
Mike Trout | LAA | 67.7 | 0.7 | 7.38 | 80.0 » 72.6 | 9.4 |
Jason Kipnis | CLE | 14.8 | 9.1 | 2.39 | 91.3 » 88.9 | 4.8 |
Jose Altuve | HOU | 43.3 | -2.5 | 4.31 | 83.4 » 79.1 | 6.7 |
Manny Machado | BAL | 23.7 | 15.9 | 4.03 | 83.9 » 79.9 | 6.5 |
Ian Kinsler | DET | 22.8 | 10.7 | 3.37 | 83.9 » 80.6 | 5.8 |
Carlos Correa | HOU | 21.1 | 4.7 | 2.68 | 83.4 » 80.7 | 4.9 |
Dustin Pedroia | BOS | 12.7 | 14.8 | 2.53 | 98.2 » 95.6 | 5.2 |
Adrian Beltre | TEX | 22.6 | 15.2 | 3.69 | 81.8 » 78.1 | 6.1 |
Adam Eaton | CHW | 16.8 | 18.0 | 3.66 | 77.9 » 74.3 | 6.0 |
Brian Dozier | MIN | 31.9 | 2.3 | 3.38 | 65.8 » 62.4 | 5.9 |
David Ortiz | BOS | 37.1 | -15.2 | 1.50 | 98.2 » 96.7 | 4.4 |
Miguel Cabrera | DET | 32.8 | -8.4 | 2.44 | 83.9 » 81.5 | 4.9 |
Gary Sanchez | NYY | 18.5 | 4.9 | 2.55 | 78.6 » 76.1 | 3.2 |
Kevin Kiermaier | TBR | 8.9 | 13.8 | 2.40 | 76.6 » 74.2 | 3.8 |
Evan Longoria | TBR | 18.8 | 2.0 | 2.29 | 76.6 » 74.3 | 4.5 |
Player | Team | Off | Def | Wins Added Over Avg | Win Change | WAR |
Corey Seager | LAD | 33.9 | 17.5 | 5.51 | 90.4 » 84.9 | 7.5 |
Brandon Crawford | SFG | 8.4 | 28.0 | 4.07 | 90.2 » 86.2 | 5.8 |
Justin Turner | LAD | 18.6 | 16.0 | 3.73 | 90.4 » 86.7 | 5.6 |
Daniel Murphy | WSN | 43.3 | -7.6 | 3.30 | 97.1 » 93.8 | 5.6 |
Kris Bryant | CHC | 49.1 | 11.0 | 5.57 | 107.7 » 102.1 | 8.4 |
Anthony Rendon | WSN | 12.4 | 12.9 | 2.67 | 97.1 » 94.5 | 4.7 |
Neil Walker | NYM | 11.0 | 10.9 | 2.52 | 87.2 » 84.7 | 3.7 |
Brandon Belt | SFG | 28.0 | -6.0 | 2.23 | 90.2 » 88.0 | 4.4 |
Buster Posey | SFG | 9.1 | 10.8 | 2.19 | 90.2 » 88.0 | 4.0 |
Joc Pederson | LAD | 17.2 | 3.3 | 2.13 | 90.4 » 88.3 | 3.6 |
Nolan Arenado | COL | 19.8 | 8.6 | 2.50 | 79.7 » 77.2 | 5.2 |
Christian Yelich | MIA | 27.0 | -5.3 | 2.54 | 78.0 » 75.5 | 4.4 |
Starling Marte | PIT | 20.7 | 1.4 | 2.26 | 78.1 » 75.8 | 4.0 |
Dexter Fowler | CHC | 25.8 | 2.7 | 2.49 | 107.7 » 105.2 | 4.7 |
Addison Russell | CHC | -2.4 | 21.9 | 2.38 | 107.7 » 105.3 | 3.9 |
Anthony Rizzo | CHC | 34.6 | -5.8 | 2.23 | 107.7 » 105.4 | 5.2 |
Joey Votto | CIN | 45.7 | -18.7 | 3.15 | 68.0 » 64.9 | 5.0 |
Freddie Freeman | ATL | 45.5 | -7.7 | 4.48 | 67.6 » 63.1 | 6.1 |
Jean Segura | ARI | 27.7 | -1.0 | 2.62 | 68.6 » 66.0 | 5.0 |
Paul Goldschmidt | ARI | 34.6 | -10.4 | 2.55 | 68.6 » 66.1 | 4.8 |
For the record, I would vote for both Trout and Bryant. I don’t agree with this line of thinking. This is just another way to look at it, and if you want to make an argument for Mookie Betts, Josh Donaldson, or Corey Seager, it’s a pretty compelling one.
The obvious caveat is that by using Pythagorean record, this method doesn’t measure exactly what happened, it measures what probably should have happened. That’s a whole ‘nother argument to have in regards to the MVP; we see it pop up as well in the Cy Young race with ERA vs. FIP. Additionally, the exact interactions between team and player are more complicated than just adding and subtracting total runs. This method isn’t perfect. But it’s fun to think about nonetheless.
Jonah is a baseball analyst and Red Sox fan. He would like it if you followed him on Twitter @japemstein, but can't really do anything about it if you don't.
I think regardless of this way being a new angle it still proves both Bryant and Trout contributed more to their team then any other player. Just by looking at the “Wins added over average” column you can see that. KB & Trout for MVP
Right, I agree. It’s just a counterargument to the people who won’t vote for Trout because the Angels didn’t make the playoffs.