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Simulating Batting Order: Just Games?

Posted By Matt Klaassen On April 15, 2011 @ 2:30 pm In Daily Graphings | 23 Comments

Certain sabermetric analyses, such as those of batting order, are based on simulations. Some will argue that things based on simulations are less likely to gain practical acceptance in baseball. This may be true, but does it really make sense to rule out using simulations for baseball strategy given the prevalence of simulation in the contemporary world?

I’ve addressed batting order and related issues recently, and some may think it is out of proportion with their importance. Of course, that significance is relative to one’s perspective. Indeed, baseball and professional sports in general aren’t “significant” from a larger perspective, so why blog about then at all? More to the point, I have additional thoughts that were brought back to mind after reading Scott McKinney’s stimulating manifesto on sabermetric managing earlier this week. One common response to a posts like McKinney’s is to point out that managers will be reluctant to try new strategies because even if they are the right ones, if they don’t obviously “work” (or even if they do!) they are likely to face a backlash from traditionalists. Even if the front office backs them up, so much of the manager’s job depends on perception that it might be “not worth it” to step off of the beaten path. I’ve discussed the problem of player attitudes and reactions to applied sabermetrics before and what might be done about it. That is a separate discussion; here I will briefly discuss how one might respond to some (not all) predictable objections to using simulations to figure out the best batting order.

I won’t review the batting order recommendations made in The Book yet again, as they are outlined in some of the links above. While those recommendations are given as general rules, as the authors acknowledge elsewhere, those general rules (e.g., the best hitters should hit first, second, and fourth) aren’t necessarily always the case, they are just the most common results of Markov analysis and simulations. The results will vary given the projected specific abilities of the players. Why are simulations (understood broadly to include simulations proper as well as Markov Chains — strictly speaking there is a difference) necessary? By way of contrast, we can test the results of a model-based (e.g., Markov chain, Base Runs) way of deriving linear weights against empirically-derived linear weights. However, in the case of batting order, there isn’t an direct “empirical test,” since we can’t re-run the whole season with the same players against the same opponents all at the same true talent level but with different batting orders even once, let alone enough times to get an adequate sample. So we need to model or simulate different options based on probabilities.

Objections to making baseball decisions based on things that look like simply “games” are understandable (if a bit ironic). However, one could also note a similar thing about using a traditional batting order against just a random one — it isn’t based on a comparable empirical test, either. Moreover, in fields other than baseball (and to be fair, there are likely some sort of simulations and modelling used in baseball front offices, if not necessarily for traditionally “managerial” decision-making) simulations and modelling are used as the basis for decisions all the time. “Wargaming” is one obvious example going back in history before computers, but now adapted to computers. Contemporary non-sports uses of simulations can be found in fields from healthcare to urban planning to engineering. Of course, there is some empirical background to those simulations, but that is also true of simulating baseball — not only using the historical performance to estimate player true talent, but to estimate the various outcomes of base-out and game states.

Naturally, the simulation has to be constructed properly (not to mention having good player projections!), and there is room to debate just how to do that (e.g., Markov versus a strict simulation). I’ll leave those discussions to the smart people. In the meantime, if a manager or fan wonders whether or not it is right to use a “silly game” to help make a decision about how to play a totally non-silly game involving balls, sticks, gloves, managers in uniform (wish they had this in basketball, am I right Stan Van Gundy?), and hot dog-tossing lions, I would simply respond that those silly games aren’t all that different from those used in industries just as, perhaps even more non-silly than baseball.


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