Archive for Research

Fun with WAR Math

Brett Davis-Imagn Images

How much WAR does FanGraphs project Ronald Acuña Jr. for in 2026? It’s a really straightforward question. It should be especially straightforward now that all of our projections are out. But as it turns out, it’s less clear cut than it sounds at first, and clarifying it has two benefits. First, it’ll help you better understand our projections. Second, it’s fun to play with math. So buckle up: We’re doing arithmetic.

First, let’s settle on what the “FanGraphs projection” even is. Here’s the relevant section of Acuña player page:

Eight projections, each with tons of numbers. That’s a lot! But when I say the “FanGraphs projection,” I’m referring to the first green row, the FanGraphs Depth Charts projection or FGDC. That’s the top-line projection we use anywhere on the website that pulls in projections to make predictions. When you see “2026 (Proj),” it’s using that number unless otherwise stated.

That’s settled then, right? We’re projecting Acuña for 5.4 WAR. Why did I have to waste your time with an article about it? It has to do with how we make that projection, a process you’re about to learn about, probably in more detail than you wanted. Read the rest of this entry »


They Don’t Make Pitch Models Like They Used To

Paul Rutherford-Imagn Images

Before we get started, I need you to promise to hold on until the end here. I have buried the lede. The crux of this article is in the last two graphs, all the way at the bottom. I put them there on purpose because I want the data to tell you a story, so I need you to see this story through to the end. I think it’s worth it.

Last Tuesday, Ben Clemens wrote an article titled, “They Don’t Make Barrels Like They Used To.” Sadly, it was not a scathing takedown aimed at the shoddy craftsmanship of modern-day coopers. It documented the steady decrease in the value of barrels over the course of the Statcast era. In 2025, barrels were worth roughly 250 fewer points of wOBA than they were in 2015. That’s a staggering loss – the entire career wOBA of Pepe Frias up in smoke – and Ben broke down several culprits for the theft, along with one other factor: intention. “Tell hitters that barrels get them paid,” Ben wrote, “and they might start to change their behavior in a way that produces less valuable barrels, squared up to center field or in other ways that are easier to produce but less likely to land safely.” He attributed this to Goodhart’s Law: “When a measure becomes a target, it ceases to become a good measure.”

This law has a sports-specific corollary that you’re probably familiar with. I’ve previously referred to it as the Competitive Advantage Life Cycle in the context of catcher framing:

  • Teams realize the immense value of a skill.
  • An arms race ensues as they scramble to cultivate it.
  • The skill becomes widespread across the league.
  • Since the skill is more evenly distributed, it loses much of its value.

The second we gained the ability to calculate the value of catcher framing, everybody started working on it. The terrible framers either got better or got run out of the sport. Players who were excellent at framing but worse at other parts of the game suddenly found more playing time because their skills were appreciated. Lastly, as the average framing level rose, the rest of the league started catching up to the very best framers. This graph is three years old now, but it shows that convergence very clearly.

The terrible framers are gone, and the great framers don’t stand out as much as they used to. Everybody’s a bit closer to the new, tougher standard, so framing is more important than it’s ever been, but also less valuable. All this got me thinking about one of the oddest measurement tools we have these days: pitch modeling. Read the rest of this entry »


Reliever Contracts Make Plenty of Sense

Dale Zanine-Imagn Images

Most free agent contracts are relatively easy to predict. Calculate the going rate for a single win, multiply it by the player’s projected wins above replacement over the length of the deal, and the result will come pretty close to the actual contract. This generally holds true for every type of player save one: the humble relief pitcher.

The Mets gave Luke Weaver $22 million for two years. The Tigers gave Kenley Jansen $11 million for his age-38 season. The Reds gave Emilio Pagán two years and $20 million, with the second year a player option. Run all of the reliever contracts signed this offseason through a dollars per win calculation, and they’re almost uniformly going to come out looking like terrible deals.

The sport appears to be smarter than ever, and yet teams keep shelling out gobs of guaranteed money on bullpen arms who hardly ever top 2 WAR. What’s their problem? Well, maybe teams have collectively decided to behave irrationally in one specific market, but I don’t think it’s that. I think teams are behaving as rationally in the reliever market as any other, but they happen to be using a different metric for evaluating reliever deals. The relevant metric, I think, isn’t dollars per win, but something like championship win probability added. Read the rest of this entry »


Analyzing Kauffman Stadium’s New Dimensions

Jay Biggerstaff-Imagn Images

Yesterday, the Royals made a big announcement. Kauffman Stadium, long one of the most cavernous venues in the majors, is going to be a little less warehouse-like this year. The walls are moving in nine or 10 feet more or less across the board, and getting shorter by a foot and a half to boot. That’s a meaningful change for a stadium where home runs generally go to die. How massive? Time to crank up the old computer and find out.

I plugged the new dimensions from Kansas City’s press release into an equation describing a rough arc. I fit those points to a cubic spline so that it could more closely resemble the actual stadium, with its pinched-in corners. I made a few approximations as well; for instance, the wall is moving to a height of eight and a half feet “in most places,” so I just applied that across the board. I also modeled the old dimensions the same way. That way, I had two different virtual walls built to compare some batted ball data against.

Notably, my approximation isn’t a perfect replica of the stadium. I don’t have a millimeter-scale, or even a yard-scale, map of the place. I can’t account for outfielders robbing home runs, which is definitely going to be more common with the lowered walls, though still quite rare overall. But by running it through both the old and new wall dimensions, I think that this unavoidable error can be minimized. It’s pretty clear that no balls that were home runs with the old outfield parameters will suddenly not be home runs with the new ones, so the thing we’re looking for is the difference, assuming that my approximation is close enough to reality. And it is: My modeling says that over the last three years respectively, 205, 162, and 159 batted balls hit in Kansas City should have turned into homers. In reality, it’s been 186, 147, and 151. Read the rest of this entry »


They Don’t Make Barrels Like They Used To

James A. Pittman-Imagn Images

Here’s a weird chart:

If you’re like me, you’re struggling to make sense of it. The value of a barrel? But aren’t barrels a measure of value themselves? That’s like asking how many dollars a ten dollar bill is worth, or how you’d rate The Lion King on a scale of one to The Lion King. But that’s not actually how it works. Barrels are defined based on exit velocity and launch angle pairs that, according to the dataset MLB used in their creation, were extremely likely to result in extra-base hits. Those cutoffs have remained the same. The results on barrels haven’t.

What gives? Well, some of it is the ball, of course. I’m not breaking new news in the long-running ball aerodynamics debate; you can read some good recent entries into tracking drag coefficients and the like here and here. Indeed, if you’re measuring barrels that way, you can see a pretty straightforward decline. Here are home runs per barrel over the years:

Read the rest of this entry »


Let’s Look at a Few More Graphs About Hitter and Pitcher Ages

Daniel Kucin Jr.-Imagn Images

Earlier this week, I looked into the curious case of Benjamin Button. Er, no, that’s not right. I looked into the fact that the average age of big league hitters keeps declining, like Button, while pitchers haven’t followed suit. There are any number of possible explanations for that pattern, and if the mystery appeals to you, I highly suggest reading the comments of that article, where our excellent readers have advanced a number of solid theories. I think there’s plenty of meat left on the bone in figuring out what’s causing this trend, but I won’t be delving into that (much) today. Instead, I made like Woodward and Bernstein and followed the money.

Age is a decent proxy for service time; older players have generally, though not alway, been in the league longer than younger players. Similarly, service time is a decent proxy for salary; players who have been in the league longer generally make more money than newcomers, for a variety of reasons. So is our data really just saying pitcher salaries are going up? Well, kind of.

I took salaries for all major league players starting in 2019, discarding the abbreviated 2020 season. I split them up by type – pitchers in one bucket, hitters in another, and Shohei Ohtani in both. Total pitcher and hitter salaries have both gone up – passage of time, inflation, and so on. But after a huge increase heading into 2022, when seven different hitters signed nine-figure contracts, the total outlay to hitters has leveled off. Meanwhile, pitching salaries are catching up:

As an aside, I only pulled data through 2019 because it’s outrageously difficult to get complete salary data. If you’re looking for Opening Day annualized salaries, sure, those are reported. If you’re looking for free agency contracts, again, pretty easy to find. There are no disputes about what Freddie Freeman’s salary was in 2025; it’s public record. But what about Freeman’s former teammate Justin Dean, who racked up 52 days of service time in his debut season? What about split contracts? Late debuts? Up-and-down types? I worked out a method for what I consider a very good approximation of those salaries, but I don’t feel confident going back before the start of RosterResource’s database, which begins in 2019. Even then, this is approximate, though as I mentioned, I’m confident that it’s a good approximation. Read the rest of this entry »


Hitters Keep Getting Younger. Pitchers Stay The Same Age.

Benny Sieu-Imagn Images

I have a confession to make. I started this article with a conclusion in mind, only to find that that conclusion was spectacularly untrue. But then I pivoted, and found something else I think is quite interesting. Is it obvious, in retrospect? I kind of think so. But I had fun doing it and learned something in the process, so I decided to write about it anyway.

I had a theory that the average catcher age, along with the average age for all the hardest defensive positions, had plummeted over the past decade, with the average DH age increasing as a counterbalance. My theory was that the universal DH allowed teams to massively alter their behavior. National League teams that had been playing older sluggers in the field could shift them down the defensive spectrum, either directly to DH or by displacing other old players to DH via a chain reaction of moving to easier defensive spots.

It’s beautiful logic, with just one problem: It’s untrue. Here’s the average seasonal age (as of July 1 each year) of catchers, shortstops, and DHs since 2002, the first year we have positional splits that allowed me to run this analysis:

The data is pretty noisy, which makes sense to me. It’s not like teams are targeting a given age; they’re just making baseball decisions about cost, team control, and production. Average age is a downstream result of a lot of decisions that are made for other reasons. But in the aggregate, the pattern I hoped to see just wasn’t there:

Average Age By Era, Position
Period C SS DH
2002-2010 29.7 28.0 31.4
2011-2020 28.9 27.1 31.0
2021-2025 28.7 26.7 29.7
2002-10 vs. 2021-25 -1.1 -1.3 -1.6

In fact, DH has experienced the greatest decline in average age across all positions. That’s very much not what I expected. I do think that some of that is overstated. First base has had the smallest decline among positions, and I’d expect many of the displaced older hitters I mentioned in my hypothesis to end up there too. But if you average the age changes of first base and DH, they’re almost exactly the league average for position players. Clearly, the data do not support my claim. Read the rest of this entry »


Can You Make More Contact by Standing Closer to the Plate?

Sergio Estrada-Imagn Images

Back in the fall, Daniel R. Epstein of Baseball Prospectus wrote a couple of articles about where hitters stand in the batter’s box. Statcast released batting stance information last year as part of the ongoing rollout of bat tracking information that started in 2024. Understandably, the location of a hitter’s center of mass got a bit overshadowed by the wealth of information about how their bat moves through space and finds its way to the ball (or not), but Dan did his part to drag it into the light. He found a relationship between contact rate and where the batter stands. Specifically, standing deeper in the box and standing closer to home plate are both associated with higher contact rates.

Both of those findings are intuitive enough. Standing deeper in the box gives you a longer reaction time. It’s no surprise that batters who take advantage of that extra information make more contact. It’s also easy to spot a potential selection bias: The players in the back of the box are likely back there because they’re the kind of contact-oriented players who want the extra reaction time.

I saw less of a physical reason for players who stand farther from home plate to make more contact, unless they stand so far from the plate that they have trouble reaching the outside corner, but (almost) nobody actually does that. It might take your bat head slightly longer to reach the outside part of the plate, but the ideal contact point for an outside pitch is deeper anyway, so I assumed the two would balance out and chalked the difference up to selection bias. Bigger players with longer arms naturally feel more comfortable farther away from home plate, and those bigger players tend to have more powerful swings, which tend to result in more whiffs. Causation isn’t correlation, and I wasn’t ready to go so far as to assume that standing farther away from home plate actually causes a batter to make less contact. Then I watched A League of Their Own again. Read the rest of this entry »


Too Much Math About an Old Adage

Joe Camporeale-Imagn Images

I never pitched in Little League, but I remember many of the lessons our coach imparted to this day. Most specifically, I remember him harping on “hard in and soft away.” This was silly. Nobody on my team could throw a curveball, and even from my youthful perspective, no one could throw anything hard either. We all mostly struck out or walked; pitchers with command were pretty much untouchable in my small-town East Tennessee league. But we’re losing the plot here – as it turns out, that advice is omnipresent in baseball, from little leagues to the majors.

I’ve always been enamored with this simple and yet fascinating rule of thumb. Why does it work? Does it work, even? What’s so special about “in” and “away” relative to pitch speed? I’ve never quite found a satisfactory way to classify it. But while I was taking a look at contact point data last week, I came up with an idea for how to measure this. When you look at the data, the evidence has been there all along.

I focused on the “hard in” aspect of the adage, because major leaguers throw so many different secondaries that honing in on what “soft” meant seemed impossible. To that end, I devised a quick test to see how conventional wisdom behaves in practice. I defined “inside” and “outside” pitches by removing the middle third of the plate, then extending out nine inches past the edge of the strike zone in both directions. I looked at sinkers and four-seamers thrown in these areas to define “hard in” and “hard away.” Read the rest of this entry »


How Productive Were Those Outs?

Brad Penner-Imagn Images

I’ve long been interested in measuring the value of making an out. Different outs count differently, and yet pretty much every baseball statistic you can imagine ignores that fact. I’m not just talking about advanced ones like wRC+ or wOBA, though those do indeed treat all outs as equal. I’m talking about basic things like batting average, on-base percentage, and slugging percentage. No one says, “Well, he batted .320, but some of those outs were in bad situations, so it was more like batting .313.” That’s not how we think about offensive statistics.

But just because we don’t count outs differently doesn’t mean that they all have the same value. This is obviously true. Striking out with a runner on third and fewer than two outs is a tragedy. Hitting a run-scoring groundout in the same situation gets the batter a long series of fist bumps back in the dugout. But when it comes to wRC+ or batting average, that distinction doesn’t show up.

There are good reasons for existing statistics to work the way that they do. Batters don’t control who’s on base and how many outs there are when they come to the plate. They don’t control whether there are fast runners on base, or whether the outfield has arms so weak that anyone could score from third base on a fly ball. In the same way that a home run is a home run is a home run, statistics that try to measure batter skill treat all outs the same. But still… I wanted to know more. Read the rest of this entry »