Bonus Intentional Walk Math: The Big Bang Theory
Yesterday, I wrote about the intentional walk heard ‘round the world. It was mostly reflex, really. When someone issues a strange intentional walk, I can’t help but dig through the numbers. But this one, I was quite sure from the start, was bad. The math was just a way of rubbernecking, staring at a baseball accident from across the highway and saying “Wow, I wonder how that happened?”
But in doing so, I didn’t engage Joe Maddon on his weird, hipster-glass-wearing turf. Maddon didn’t say he was trying to minimize run expectancy (though he should have been). He didn’t say he was trying to maximize his team’s chances of winning the game (though he should have been). He said he was trying to “avoid the big blow,” or prevent a big inning in other words.
Bad news, Joe! Using the same simulation I used to estimate run and win expectations, I can work out the chances of a “big blow” for some arbitrary definition of big. Take my initial simulation. I estimated that the Rangers stood to score roughly 1.75 more runs in the inning when Corey Seager came to the plate, before any intentional walk shenanigans. We aren’t limited to looking at that in terms of average runs, though. It can also be expressed as some likelihood of scoring zero runs, one run, two runs, etc:
Runs | Likelihood |
---|---|
0 | 24.7% |
1 | 30.2% |
2 | 16.5% |
3 | 11.3% |
4 | 10.3% |
5 | 4.4% |
6+ | 2.6% |