A Batter Game Score for the Regression-Minded
Since attempting (somewhat haphazardly) to identify the top performances of the Futures Game by way of game scores, I’ve been experimenting both with a pitcher and also batter version of same that might weight the relevant inputs in a manner that reflects the rate at which those various inputs become reliable.
Because it’s likely flawed — and also because the prospect of doing so is tedious — I won’t provide a particularly detailed explanation of my own methodology here. But what I’ve got seems to produce reasonable enough results, which is really my only concern.
What I did was to start with the FIP-based pitcher game score proposed by Tango Tiger in these same pages a few years ago — the formula for which starts at 40 (as opposed to 50) so as to reflect the idea of replacement level. What I did then was to weight strikeouts three time more heavily than in the normal FIP formula (because it becomes strikeout rate becomes reliable three times more quickly than home-run rate) and walks about a third more heavily. Hits of any sort are excluded from consideration, as BABIP requires far too large a sample to integrate meaningfully with the other three variables. Multiplying plate appearances by 3 centers the equation.
Below is the resulting equation:
Applying the formula to an “average” game — that is, league-average rates prorated to 4.5 plate appearances — results in a game score of 51. A player going 4-for-4 with four home runs produces a score of 104. To produce a 0, a player would need to strike out in about 13 of 13 plate appearances — which, that’s an unlikely result. Away from the margins, however, the scores are reasonable.
Here, for example, are yesterday’s 10-best players:
# | Name | Team | PA | BB | SO | HR | Score |
---|---|---|---|---|---|---|---|
1 | Mark Teixeira | Yankees | 5 | 3 | 0 | 1 | 80 |
2 | Matt Kemp | Dodgers | 4 | 0 | 0 | 2 | 78 |
3 | J.P. Arencibia | Rangers | 5 | 0 | 1 | 2 | 75 |
4 | Jose Abreu | White Sox | 5 | 1 | 0 | 1 | 72 |
5 | Jimmy Rollins | Phillies | 5 | 1 | 0 | 1 | 72 |
6 | Josh Hamilton | Angels | 6 | 0 | 0 | 1 | 71 |
7 | Yangervis Solarte | Padres | 4 | 1 | 0 | 1 | 69 |
8 | Josh Harrison | Pirates | 4 | 1 | 0 | 1 | 69 |
9 | Brett Gardner | Yankees | 5 | 0 | 0 | 1 | 68 |
10 | Anthony Rizzo | Cubs | 8 | 1 | 0 | 0 | 68 |
And 10 worst:
# | Name | Team | PA | BB | SO | HR | Score |
---|---|---|---|---|---|---|---|
1 | Carlos Gomez | Brewers | 4 | 0 | 4 | 0 | 28 |
2 | Logan Schafer | Brewers | 3 | 0 | 3 | 0 | 31 |
3 | Mark Trumbo | D-backs | 4 | 0 | 3 | 0 | 34 |
4 | Marc Krauss | Astros | 4 | 0 | 3 | 0 | 34 |
5 | James Jones | Mariners | 4 | 0 | 3 | 0 | 34 |
6 | Dillon Gee | Mets | 2 | 0 | 2 | 0 | 34 |
7 | Tyson Ross | Padres | 2 | 0 | 2 | 0 | 34 |
8 | Chris Iannetta | Angels | 2 | 0 | 2 | 0 | 34 |
9 | Justin Ruggiano | Cubs | 7 | 0 | 4 | 0 | 37 |
10 | Tyler Flowers | White Sox | 5 | 0 | 3 | 0 | 37 |
Carson Cistulli has published a book of aphorisms called Spirited Ejaculations of a New Enthusiast.
Can we have these in some sort of daily “look what happened yesterday” post.
I would love something like this. Not necessarily with the information included in this post, but more of a “Here’s some interesting stuff that happened in baseball last night” type of post. This could include historical feats, great/bad moves by managers, potential pitcher adjustments, or even a variety of humorous whimsy to help us through our NotGraphs withdrawal.
Well, if occasionally there is a 100 game score batting performance, I’d like to see some carson related whimsy there too.
As somebody who checks every individual game’s box score every single day, I agree wholeheartedly.