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:

Game Score: 3 * PA + (13 * HR + 4 * BB – 6 * K) + 40

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.

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AK7007
10 years ago

Can we have these in some sort of daily “look what happened yesterday” post.

DUMBrowski
10 years ago
Reply to  AK7007

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.

AK7007
10 years ago
Reply to  DUMBrowski

Well, if occasionally there is a 100 game score batting performance, I’d like to see some carson related whimsy there too.

frivoflava29
10 years ago
Reply to  AK7007

As somebody who checks every individual game’s box score every single day, I agree wholeheartedly.