The Triple-Slash Line Conundrum by Era

A few weeks ago, I regressed as a writer. I regressed a lot, actually: twenty years worth of slash line data regressed against twenty years of run scoring data in various ways. But — and this is a dangerous sentence, and usually a bad one — someone asked me a question on Twitter and I want to answer it. Namely: was batting average always the weakest correlation to run scoring among the slash line statistics, or has it only become so recently?
This is going to be a quick hitter. I broke the game down somewhat arbitrarily, using eras defined by OOTP Perfect Team. I started in 1947 and went up until 2000 (the results of the 2000s were in my previous article). Here’s what those 2000s results look like, which should both give you an idea of the correlations today and preview the format for the rest of the article:
| Statistic | AVG | OBP | SLG |
|---|---|---|---|
| AVG | .355 | .673 | .841 |
| OBP | .673 | .668 | .885 |
| SLG | .841 | .885 | .840 |
Without further ado, let’s get started.
Golden Years, 1947–1960
Now, these weren’t the golden years for me, because I wasn’t alive, but I guess that’s what some people call this era of baseball. Jackie Robinson! Ted Williams! Stan Musial! Willie Mays! Batting average mattered more, but it still didn’t matter:
| Statistic | AVG | OBP | SLG |
|---|---|---|---|
| AVG | .655 | .762 | .771 |
| OBP | .762 | .707 | .908 |
| SLG | .771 | .908 | .688 |
What do I mean by that? Well, if you predict run scoring with OBP and SLG, you get a 0.908 adjusted r-squared to actual runs scored. Predict run scoring with the entire triple slash line, and you get an adjusted r-squred of 0.91. Batting average did better, on its own, as a run scoring predictor, but using OBP and SLG was the gold standard in the golden years.
Baseball Boom, 1961–1979
This is a broad era that folds in some pitching-dominant years that led to rules changes, the early part of the speed era, and some early-60s home run mania. It’s also an era where, if you know OBP and SLG, you don’t need to know batting average to predict run scoring:
| Statistic | AVG | OBP | SLG |
|---|---|---|---|
| AVG | .672 | .810 | .856 |
| OBP | .810 | .795 | .922 |
| SLG | .856 | .922 | .833 |
Like the 1947–60 span, using OBP and SLG as predictors does just as well as using all three statistics. More specifically, OBP/SLG had a 0.922 adjusted r-squared to runs scored. The full AVG/OBP/SLG regression checks in at 0.923. Average… if you’re already 99.89% of the there, it’ll get you that last tiny bit of explanatory power. That’s not exactly a ringing endorsement.
Defensive Era, 1980–1992
Even though I wasn’t alive for a big chunk of this era and wasn’t following baseball for the vast majority of it, it’s one of my favorite eras, thanks to Ozzie Smith, my single favorite baseball player and, per my mom, the person I’ve most emulated in my life. I spent countless hours mimicking the defensive plays I saw on my “Ozzie, That’s a Winner” VHS tape, which my uncle had recorded on local access TV in St. Louis. I’m a lefty, so I was doing them backwards and they never led to me becoming a defensive wunderkind, but none of that mattered to me; I just wanted to be like Ozzie. Uh, where were we? Oh, right. Average didn’t matter:
| Statistic | AVG | OBP | SLG |
|---|---|---|---|
| AVG | .542 | .713 | .800 |
| OBP | .713 | .705 | .863 |
| SLG | .800 | .863 | .784 |
Using the criteria from above, OBP/SLG checks in at 0.863, and an all-three-slash-stats regression checks in at 0.864. It’s interesting to note that OBP and SLG explain the lowest percentage of variation in run scoring in this era, which I attribute to the huge range in team baserunning strategy and effectiveness, but that’s not the point of this study. The point is that if you already know a team’s OBP and SLG, you don’t need to know their batting average to predict how many runs they scored.
The Power Years, 1993–2000
I cut this one off at 2000, since my previous article already covered the 21st century, but OOTP extends it to 2004. Regardless, you guessed it:
| Statistic | AVG | OBP | SLG |
|---|---|---|---|
| AVG | .655 | .830 | .839 |
| OBP | .830 | .821 | .912 |
| SLG | .839 | .912 | .811 |
This time, the adjusted r-squared is the same whether you look at OBP/SLG or AVG/OBP/SLG. So there you have it: throughout the eras, the correlations have remained the same. If you’re trying to predict a team’s run scoring and already have their on-base percentage and slugging percentage, you can stop there. Batting average won’t add anything to the equation.
Ben is a writer at FanGraphs. He can be found on Bluesky @benclemens.
What I find most interesting is that in two of the eras, golden and power years, obp explained more of a teams run scoring while in the other eras slg was the most explanative. It is also interesting that the 21st century has by far the lowest correlation between obp and run scoring.
I would posit that this reduced correlation between getting on base and scoring is why people don’t like the way that the modern game has evolved despite other eras also relying heavily on slg for run scoring.
No. I think most people, myself included, detest the TTO-heavy nature of the game.
Your statement doesn’t make any sense probably because you didn’t read my whole statement. I was talking about how run scoring in the modern has the lowest correlation with base runners in all the samples. This means that scoring today less reliant on having base runners and more reliant on slg aka hitting homers or TTO.
The TTO also include walks, though. Runners are still getting on base, just not as much by inside-the-park hits as in other eras.
BA – how many times a player gets on base via a hit
OBP – how many times a player gets a hit, but also all other ways he get on base
SLG – how many times a person hits, but also account for how many bases he gets when he gets a hit
So really slugging and OBP essentially take the traditional batting average and make it more descriptive in some way, so just by definition it’s basically impossible for BA to beat them in terms of correlation to scoring runs.
Slugging, yes; OBP, no — AVG pretends like the only outcomes that matter are hit and out, OBP folds in the non-hit ways to get on base, but it also adds those to the denomiator, which absolutely shifts the scale.
Slugging adds descriptive power to average in a very exact way — they use the same denominator.
OBP is basically working on a different scale, which is what drives some math purists crazy about OPS — never mind the fact that OBP and SLG exhibit uneven weight in explaining scoring.
The denominator in this case is HBP, Walks, and Sac Flies. And if just categorize HBP+Walk as singles and sac flies as outs, that’s going to be a really high number. Especially since sac flies wasn’t even a stat before 1954.
And yes, that’s why I used “basically impossible” rather than purely impossible. If players all have like .800 average and most of them are homers, then maybe the walks and the HBP may drag things down.
The denominator doesn’t shift *that* much when comparing numbers over the course of a full season, especially for all of MLB and not just a single player. It’s still close to impossible.
However, I do agree that the shifting denominator still makes BA somewhat useful as a performance analysis tool in addition to OBP and SLG. That’s why we still use triple stat lines instead of double stat lines, after all.
Yes, OPS is flawed in multiple ways, which is why we have wOBA (and its derivative wRC+). However, OPS is still the best we have for situations where you want numbers that reasonably easy to calculate (or can’t be bothered to look on FanGraphs’s more awkward and less user friendly stat pages for wOBA/wRC+).
I do find the batting average doesn’t add anything if you already have OBP and Slug a weird argument. Slugging is BA + ISO. OBP is roughly BA*AB/PA +(BBs +HBP)/PA. Saying BA doesn’t matter if you already have slugging and OBP is roughly the same as saying counting BA a third time doesn’t add much to counting BA twice, (BB+HBP)/PA, and Iso.
There are lots of stats that add onto/incorporate other stats. Of the incorporated stats, BA is the one that is singled out as it doesn’t matter. I like the triple slash line because it opens up conversation across generations and find saying BA doesn’t add much just is a way of antogonizing peiople that didn’t grow up with the internet. There is nothing being hurt by keeping BA in the triple slash line.
My only comment was on the results of this article, which is that OBP and SLG both correlate more to scoring runs than AVG. In fact as an older fan I love looking at a player’s BA, and I still have trouble liking the .240/.350/.500 guy as “wow this is a really good hitter” because .240 just looks ugly to me.
However, based on what we know about how baseball works, and baseball has worked mostly the same way even if teams have updated strategies with more knowledge, is that getting on base via walk/HBP is a plus. Now perhaps some seasons walks constitute 10% of PA while other seasons they constitute 1%. In which case the importance of OBP relative to BA may change. But it would still be somewhat more unless people stop walking.
Right.
Would be interesting to look at the most basic elements that don’t overlap:
BA
BB%
ISO
Or to equate denominators put everything over PAs:
Hits/PA
BBS/PA
(Total bases – hits)/PA
The Wizard is the only player from whom I have signed memorabilia. And I’m left-handed! Ben, did I live your life or did you live mine?
A: Wait, it’s all OBP and SLG?
B: Always has been
would have liked for some more discussion of these numbers rather than just “it didn’t matter” 5X, which anyone on this page already knows and has heard for 20 years
for ex. the BA # (also really never explained) was way lower in the 1980s era than in others – because run scoring down?
I’m a fellow lefty who also counts Ozzie Smith as his all-time favorite player. No wonder I like your writing so much, Ben.