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I Think Lawrence Butler Is Pretty Good

Raymond Carlin III-USA TODAY Sports

If I’ve learned anything from the new Statcast bat tracking data, it’s that bat speed alone isn’t sufficient to produce a high-quality major league hitter. Johnathan Rodriguez, Trey Cabbage, Zach Dezenzo, Jerar Encarnacion — all of these guys, at this early stage of their major league careers, swing hard but miss harder. Bat speed only matters when you make contact.

When you do hit the ball, however, it’s nice when your swing is as fast as possible. Swinging fast while making good contact most of the time — it’s hard to do, but if you can do it, you’re probably one of the best hitters in baseball.

The reason it’s rare is because these two variables — swinging hard and making solid contact — are negatively correlated. As some probably remember from when these stats originally dropped, Luis Arraez swings the slowest and squares up everything, while Giancarlo Stanton swings the fastest but seldom connects. A slow swing is a more precise swing, and so the group of hitters who can swing precisely while letting it rip are uncommon.

In order to determine who these rare hitters are, it is necessary to select some arbitrary cutoffs. I’ve picked hitters who have roughly 80th percentile bat speeds and 50th percentile squared-up per swing rates. (A “squared-up” swing is one where a hitter maximizes their exit velocity.) Here is the whole list of hitters who average over 74 mph of bat speed and have at least a league-average squared-up rate: Yordan Alvarez, Gunnar Henderson, Manny Machado, William Contreras, Juan Soto, Vladimir Guerrero Jr., and… Lawrence Butler??? Read the rest of this entry »


Bryan Woo Moves Like Zack Wheeler

Kirby Lee-USA TODAY Sports

Podcasts hosted by athletes — I don’t know about all that. But I did enjoy a recent clip from Mookie Betts’ podcast where he was talking to Cal Raleigh, who was comparing Zack Wheeler — perhaps the best pitcher in baseball — to his batterymate Bryan Woo.

“[Wheeler] is kind of like Woo,” Raleigh said. “He glides down the mound. And it’s so effortless. Some guys just have that natural glide down the mound, easy, and [the ball] just gets on you.”

Coincidentally, in a conversation in late August, Phillies minor league pitching coach Riley McCauley made the same comparison.

“[Woo] is very Wheeler-ish,” McCauley told me. Read the rest of this entry »


Pedro Avila Throws Such a Weird Changeup

Rick Osentoski-USA TODAY Sports

Pedro Avila might not strike you as exceptional. He’s mostly on mop-up duty in the Guardians bullpen, hoovering up low-leverage innings. His sinker was deemed the “most normal” in baseball by Leo Morgenstern earlier this year. And his 3.60 ERA and 3.92 FIP is right around average for major league relievers.

But behind this veneer of normalcy lies the weirdest changeup in baseball.

Below is a plot of the average vertical and horizontal moment of every pitcher’s changeup during the 2024 season (minimum 50 changeups, data as of August 15, vertical movement measured without gravity). You have a 50/50 shot of guessing which one is Avila’s:

The brown dot on the left of my beautifully drawn circle is Logan Allen’s changeup, Avila’s erstwhile teammate. Michael Baumann wrote about Allen’s “weird-ass changeup” last July, noting that the pitch had the least horizontal movement of any major league changeup in the 2023 season. (Unfortunately, despite Michael’s request, no “Weird-Ass Changeup World Tour” tag has since been added to the CMS.) The purple dot on the right is Avila’s changeup, which is averaging even less horizontal movement than Allen’s.

But the average movement profile doesn’t fully capture what’s weird about Avila’s changeup. To truly appreciate the weirdness, it is necessary to take a look at why it moves like that.

It starts with his crazy grip. Look at this grip!

He aligns his thumb and pointer finger in a quasi-circle-change grip while pressing on the exact opposite side of the ball with his other three fingers. The funky grip — a circle-change/splitter/forkball/vulcan-change hybrid — informs the way the ball comes out of his hand.

Scott Firth, a former performance coordinator at Tread Athletics, described Avila’s grip in a tweet from January 2023 and the movement profile that results from it.

“Looks like fosh/modified box grip, some guys will cut it hard with 3 fingers on outer part of ball,” Firth wrote. “Low spin low efficiency could catch ssw [seam-shifted wake] either direction depending on cw [clockwise] or ccw gyro.”

The contradictory forces of fade from the pronation and cut from the pressure of his three fingers results in chaos; because of that grip, the ball comes off the pointer finger and middle finger simultaneously, sending the pitch downward:

Avila’s changeup almost imitates a knuckleball in the randomness of its spin axis. A helpful way to understand this is by looking at Avila’s spin-based movement and observed movement. The spin-based movement is the orientation directly after release; the observed movement is the implied axis based on the movement of the pitch. (When the spin-based orientation does not match the observed orientation, it is generally assumed that “seam-shifted wake” is responsible. More on that later.)

The observed spin axis on Avila’s changeup nearly goes around the entire clock. Check out the green bars on the graphic below:

Avila’s changeup might ultimately move similarly to Allen’s from a “shape” perspective, but the aesthetic experience from the hitter’s vantage point is distinct. It’s a complete outlier from the perspective of spin efficiency, defined as the percentage of spin that is either sidespin or backspin/topspin. The median changeup is 95% spin efficient. Allen’s changeup has 72% spin efficiency, one of the lowest marks in baseball. Avila’s changeup checks in at 24% (!!) spin efficiency, which is more like a typical gyro slider than any changeup.

The Guardians broadcast picked up on this following a slow-motion replay of an Avila changeup. After watching the replay, Guardians color commentator Rick Manning remarked that “It’s almost like a forkball but he spins it like a slider.”

Perhaps it goes without saying, but this is not the traditional way to throw a changeup. Driveline, for instance, published an article showing five different grips for aspiring changeup-throwers to try; none of them resemble Avila’s.

The classic changeup is thrown with heavy pronation. Think Logan Webb’s changeup fading down and away from a left-handed hitter:

Some pitchers struggle to throw a changeup with heavy pronation. One key reason, as Noah Woodward pointed out in a March 2023 post, is that the act of “turning over” the ball is awkward for pitchers who don’t throw another pitch that requires turning over their wrist in the manner required of a Webb-esque changeup.

For pitchers like Tarik Skubal or Matthew Boyd with more of an inherent supination bias, the seam-shifted wake changeup is a way to throw an offspeed pitch without contorting their arms in uncomfortable directions.

“I throw a changeup just like a slider now, but using essentially the smooth part of the baseball to create no drag on one side, but seam is on the other side,” Boyd told MLB.com’s Jason Beck in March 2023. “And because of that, I get more movement than I did before, but the pattern of how my wrist is moving is like the other pitches. So it allows for the other pitches to be more consistent.”

Avila’s changeup does not fit neatly in either of these categories. It is, somehow, a pronated seam-shifted wake changeup. That explains why Avila leads the league in the gap between his changeup’s spin-based axis and his observed axis.

But that gap doesn’t tell the whole story. Most other pitchers have a similar pattern when their actual spin orientation deviates significantly from the “spin-based” orientation: It shifts to the left (or right) in a predictable pattern. Take Skubal’s seam-shifted wake changeup, for example. The “observed spin” is shifted to the left of the spin-based movement.

Avila’s changeup is not like that. Because of the heavy gyro spin that his grip produces, the pitch leaves the hand at somewhat random orientations and can either fade or cut, as the movement map of all his changeups in 2024 shows. Notice how the green dots (his changeups) can end up on either side of the pitch plot:

So Avila’s changeup is definitely weird, but is it good? It certainly produces some bizarre swings, even when it’s poorly located. Heliot Ramos, for one, looked flummoxed after whiffing on one middle-middle Avila changeup:

Avila’s changeup gets a lot of whiffs — among changeups thrown at least 100 times, his ranks in the 85th percentile in swinging strike percentage and the 78th percentile in whiffs per swing. On the other hand, he throws one out of every six changeups in the “waste” zone, which sort of makes sense to me — that grip feels prone to misfires. (Shout out to Alex Chamberlain’s pitch leaderboard for these stats.)

While Avila’s changeup has graded out as basically average from a run value perspective, I’m not always sure that run value is the best way to evaluate the quality of a given pitch. There are interaction effects between pitches — in other words, the thought of the changeup in the batter’s mind might improve the quality of his fastball — and Avila is using the changeup as his primary out-pitch and getting pretty good results.

Given that the Padres DFA’d Avila in April, this season looks like a success for him, and the changeup is without question a big part of all that. As always with pitching, weird is where you want to be.


It’s Release Angles All The Way Down

Kamil Krzaczynski-USA TODAY Sports

This is Michael Rosen’s first piece as a FanGraphs contributor. You may have read his previous work at the site, including his article about the Kirby Index, a metric he created to measure command using release angles. He lives in Los Angeles and works as a transportation planner.

Earlier this year, I tried to solve the riddle of how Shota Imanaga threw his invisible fastball. The pitch had (and still has) a rare combination of traits: At the time of writing, only Imanaga and Cristian Javier threw fastballs from super flat vertical approach angles (VAA) with elite induced vertical break (IVB). A fastball with a flat VAA or high IVB plays a trick on the hitter’s perception; a fastball with both qualities becomes nearly unhittable, or invisible, when located at the top of the zone. I posed two questions in that piece: Why was this invisible fastball so rare? And what was Imanaga specifically doing to throw a fastball with these traits?

The first question can be answered, my research shows, by looking directly at release angles. Release angles reflect the direction that the pitcher is aiming the ball at release, which I wrote about at length in my article on the Kirby Index from May. That act of aiming — specifically, the direction the ball is oriented out of the pitcher’s hand — also affects the amount of backspin on a four-seam fastball. Read the rest of this entry »


The Kirby Corollary: Why Batters Don’t Swing at Sliders

Jay Biggerstaff-USA TODAY Sports

George Kirby had Javier Báez right where he wanted him. It was October 3, 2022, the last start of Kirby’s excellent rookie year, and Kirby had Báez, the king of chasing sliders off the plate, in an 0-2 count. His catcher, Cal Raleigh, set up off the plate, suggesting that Kirby would be targeting the outer edge.

Kirby hit his target with a well-executed slider. And Báez, instead of whiffing, hit it out of the park.

Báez wasn’t fooled; at seemingly no point did he think that pitch was a fastball. And Kirby’s lack of deception — defined here as a lack of overlap between the horizontal release angle (HRA) of his fastball and slider — may have played a part.

My research shows that HRA similarity between fastballs and sliders explains a batter’s swing decisions at the pitch level. When a given slider matches the average (or expected) HRA of the pitcher’s fastball, it makes the hitter more likely to swing. If the slider is farther from the pitcher’s average fastball HRA, the hitter is more likely to take the pitch — even if it’s in the strike zone.

My findings track with an intuitive understanding of how these pitches interact with one another. If a slider is released from the same horizontal release angle as a fastball, the arm action between the two pitches will be identical and the initial flight of the pitch will pass through the same “tunnel.” The hitter, unable to initially tell the slider apart from the fastball, is more likely to pull the trigger on a swing. And the reverse is also true — a lack of deception in slider release angles makes a swing less likely.

The importance of the fastball and slider release angle interaction leads to two separate insights. One, it tells us something important about the reasons hitters decide to swing at sliders. The deception effect, in concert with the initial trajectory, explains more about a hitter’s swing decision on a slider than how much it’s moving or how fast it’s released. Second, it spotlights an interesting trade-off between release angle repeatability and deception, suggesting that there may be a secret cost to precise command.

Last month, I wrote about the Kirby Index, which captures how precisely a fastball can be located by a given pitcher. Now there is the Kirby Corollary: Too much precision can backfire.

It’s maybe helpful to think about why Báez generally swings and misses at sliders. Is it because the pitch is going so fast he can’t tell it apart from a fastball? Is it because it’s moving so much that he can’t tell it’s a slider until the last minute? Or is this question infinitely complex, with a constantly changing set of answers?

Most likely, it’s that last one. But my sense is that one key element is the idea of the “illusion of waste.”

Alex Chamberlain coined the phrase “illusion of waste” in his article on release angles and Immediately Obvious Waste Pitches, or IOWPs, in April. I’ll quote him at length here:

When a pitcher throws a pitch, the pitch reaches home plate in a fraction of a second. The opposing hitter, then, has a fraction of a fraction of a second to discern a great many things about the pitch: its velocity, its shape, its probable final location, all to then ascertain whether or not he should swing. Given the impossibly small window of time in which to make a swing decision, much of a hitter’s behavior is influenced by the untold thousands of pitches he’s seen before, like a mental library of pitch shapes. One of the very first visual cues a hitter receives, aside from the pitcher’s release point, is the angle at which a pitch leaves the pitcher’s hand.

As Alex wrote, a pitcher could leverage a batter’s mental library to their advantage. From his piece: “​​In the ever-evolving game of baseball chess, a skilled pitcher could command good pitches with ‘bad’ release angles, finding the zone with pitches that appear to have no business doing so.” Operationalizing this idea, Alex looked at all pitch types and sorted them into IOWPs.

I wanted to take a different approach to the IOWP idea. Instead of thinking about all pitch types agnostically, I wanted to look at how a batter’s mental model might relate to the relationship between two pitch types. Specifically, I wanted to understand the interplay between a fastball and a slider.

What actually makes a slider good is a surprisingly difficult question to answer. For instance, we can look at Stuff+, which is modeled on explaining and predicting slider run value. Let’s see how it did at describing the stat it is trained against at the individual pitcher level in 2023:

It’s surprisingly uninformative! The r-squared between slider Stuff+ and slider run value was 0.08. There’s a lot we don’t know about why a slider works at any given point in time. As Max Bay, one of the creators of Stuff+, wrote on Twitter in response to this finding, “Turns out humans are not static stochastic response generating machines.” In other words, batters and pitchers are constantly responding to each other, and what made a hitter swing and miss on a slider last week might be completely different this week. Identifying the specific factors that make a slider good over extended periods of time is tougher than it looks.

Nevertheless, one of these factors, without question, relates to the ability of a pitcher to throw their slider in the same “tunnel” as their fastball. In 2017, Bret Sayre, Harry Pavlidis, Jonathan Judge, and Jeff Long of Baseball Prospectus coined the concept of the “tunnel point,” defined as the location roughly 24 feet in front of home plate where the batter must decide whether or not to swing. (Later, they updated the “tunnel point” to be roughly 150 milliseconds before reaching home plate.)

Using the concept of a tunnel point, they generated a suite of statistics that measured tunneling quality among individual pitchers, including speed change and release differential between two pitches (like a fastball and a slider, for example) thrown in sequence. The inability of a batter to tell two pitches apart, further research from Baseball Prospectus showed, “can have a significant effect on how likely a batter is to swing through a pitch.”

In a 2017 Hardball Times article, Dan Blewett described his own theory of tunneling, concluding that the tunneling effect is a function of repeating the same physical delivery. Quoting Blewett:

If a pitcher repeats his delivery, then the flight of each pitch, to each location, is essentially predetermined by physics. To make them take the same tunnel, then a pitcher would need to pair pitches based on where they start, not where they end. The deviation from a tunnel, for a pitcher who repeats his delivery well, will then only come from deviations in starting location, or focal point (used interchangeably).

What’s cool is that we now have a variable that captures that starting location exactly: the release angle. The release angle guides the initial trajectory of a pitch out of the pitcher’s hand; as we know, it also determines the ultimate location of the pitch.

As both Blewett and the Baseball Prospectus team note, tunneling is inseparable from sequencing. Theoretically, the tunnel is the result of a fastball and a slider thrown back to back. The initial fastball sets the image in a hitter’s mind; the follow-up slider plays on the mental image the previous fastball has created.

I wanted to know if this same “tunneling” effect applied not just to pitches in sequence but to the relationship between all fastballs and all sliders from a given pitcher. My idea was that a hitter is usually trying to time up a fastball. Sometimes they swing like they think it’s a fastball, but instead it’s a slider. Perhaps they give up on the pitch, thinking it’s a fastball off the plate, but boom, actually it’s a slider. The batter’s perception of the interplay between the fastball and slider, in other words, likely plays some role in the effectiveness of the pitch, independent of whether it is specifically sequenced after a fastball.

In a recent piece of research on his BaseTunnel Substack, Eli Ben-Porat found evidence of release angle synergy between fastballs and gyro sliders leading to better results on the sliders. Using the average vertical release angle (VRA) on fastballs and sliders within a given start, Eli created a gyro slider deception statistic, finding that this statistic had a relationship to whiff rates. As Eli notes, Clayton Kershaw excels at this: He overlaps his horizontal release angles between fastball and slider to the maximum extent possible and gets tons of swings as a result. To achieve maximum overlap, he throws fastballs low and outside, and sliders just below that point:

Spencer Strider, perhaps unsurprisingly, does the same thing as Kershaw:

Taking a slightly different approach, I looked at pitchers at the other extreme of deception, those who struggle to generate “the illusion of waste.” Methodologically, instead of release angle averages, I used kernel density estimates (KDEs), which are fancy histograms. (If someone has a better way to describe KDEs, feel free to leave a comment below.) I also ignored vertical release angles completely, focusing specifically on the horizontal element of a slider.

For this exercise, the variables are the distributions of fastball and slider release angles, respectively. I then calculated the area under the curve of the overlapping fastball and slider KDEs to get a single “overlap” metric, which I’ll call the Corollary Index (CI).

(A quick methodological note: fastballs are defined as all four-seamers, sinkers, and cutters; sliders are pitches classified as either sliders or sweepers.)

The graphs are helpful in showing this visually. Let’s look at Kirby’s 2023 release angle KDEs. Up until recently, Kirby was a guy who almost never released his fastball from the same release angle as his slider. This is reflected in the graph below by the amount of gray shading between the two curves:

Compare Kirby to someone like Kershaw or Tarik Skubal, whose fastball and slider release angles looked virtually identical last season. That’s a lot more gray:

I figured that the quality that Skubal, Strider, and Kershaw exhibit — and that Kirby lacks — would have some relationship with how much batters swung at their sliders. The effect, according to Eli’s article about Kershaw, is real for whiffs; my research found that for called strikes, a pitcher’s CI has a statistically meaningful relationship to their ability to generate takes on the slider.

First, let’s look at the relationship between slider Stuff+ and slider called strike percentage. This will help get a sense of whether a common set of non-location-based pitch factors (velocity, movement, release point) affect a pitcher’s ability to get called strikes on their slider:

The r-squared was 0.001 — in other words, there was no relationship between a pitcher’s slider Stuff+ and how many called strikes they achieved with the pitch. Now let’s look at the relationship between CI and called strike percentage, where the r-squared was 0.12:

This relationship was even stronger in 2022. That year, CI and called strike percentage had an r-squared of 0.20:

That might not sound like much of a relationship, but remember that the r-squared between slider Stuff+ and slider run value — the thing that Stuff+ is built to describe best — is just 0.08. The reasons for certain pitches doing certain things are complex and always evolving. The strength of the relationship between CI and called strike rate is a strong suggestion that the overlap of horizontal release angles is a factor in determining why certain pitchers achieve a lot of called strikes on their pitches, even as pitchers and hitters are constantly changing in response to one another.

To make this point clearer, I used a machine learning technique called RandomForestClassifier, which helps create a model that is used for assessing binary variables (variables that either happen or don’t happen, like a swing). Given enough data, machine learning models are pretty good at describing the relationship between certain variables. If I wanted to know which factors related to a pitch result in a batter swinging, I can just throw a bunch of numbers into the machine learning soup and make it try to predict a swing using only that information. I know that it isn’t just repeating what it already knows because I then test the model on data it’s never seen before.

I built two predictive frameworks for guessing whether a batter would swing at a slider after filtering the data to all sliders thrown by right-handed pitchers in 2022. The first used some of the main inputs for a model such as Stuff+ — release point, velocity, and vertical/horizontal movement. The second framework relied on a single number: HRA differential. HRA differential is the difference between the slider thrown and the pitcher’s average fastball HRA. (I could have used league-wide HRA as well; some exploratory unpublished research suggests that there isn’t much of a difference between the two.)

The second model outperformed the first model — the HRA differential model had a 59% accuracy score, and the Stuff model had a 54% accuracy score. In other words, a lack of release angle overlap along with the pitch’s initial trajectory tells you more about why a batter swung than where the pitch was released from, how fast it was going, and how much it was moving. I also ran the same exercise using 2023 data on sliders thrown by left-handed pitchers, and the results were virtually identical.

Here are some counterarguments you might be considering. One might be that the location is by far the most influential variable in determining whether a batter will swing, and because HRA differential contains location information, that is the only reason it might do a better job predicting swings than a dumbed-down Stuff model. Other potential counterarguments include that it’s perhaps just capturing pitchers who throw more backdoor sliders, or those who have amazing slider command.

I think that the Corollary Index is specifically capturing the effect of overlapping (or non-overlapping) release angles for three reasons.

One is that pure horizontal location information only achieves 66% accuracy in its own RandomForestClassifier model. Knowing the slider’s ultimate horizontal location doesn’t automatically tell you why a batter will or won’t swing at it — it gives you a pretty good sense, but is far from a full explanation. The second is that location information is also included in the dumbed-down Stuff model in the form of vertical and horizontal release points. The third is that HRA on its own predicted swings with 52% accuracy. Adding the overlap component makes the model go from less likely to predict swings than the dumb Stuff model to more likely to predict a swing. It’s a crucial missing piece.

That means I am suggesting that how much a slider does or does not look like a fastball out of the hand is a major reason why a batter swings at it — in concert with initial trajectory, it’s perhaps just as or even more important than the slider’s speed and movement.

I’m thinking of the inherent trade-off between the precision of locations and the illusion of waste as the Kirby Corollary. Alex Chamberlain captured the central idea in a DM, writing, “It’s such a catch-22 because Kirby has superb command, which means because of his pitch shapes he has to have different release angles to sustain his command.”

Since the beginning of 2023, 103 pitchers have thrown at least 500 sliders. Kirby ranks sixth in zone rate — and 96th in swing rate. His zone-to-swing ratio is above any other starting pitcher in the league. He throws his sliders for strikes a ton and yet batters still don’t swing.

Some of the hitter passivity on the slider is due to his command, like when he dots up a backdoor slider to a lefty. Some of it is the counts in which he chooses to throw the slider — often in 0-0 or 1-0 counts, when the batter is going to be more likely to take a pitch. But command and count aren’t the full story.

The slider doesn’t look like the fastball out of the hand, and so batters can more easily dismiss it. This is the Kirby Corollary — his commitment (and ability) to repeatedly throw four-seam fastballs inside to right-handed hitters is so strong that those hitters choose to give up on the outside part of the plate. Kirby has so far struggled to channel the illusion of waste — he is stymied by the lack thereof.

Getting tons of called strikes isn’t necessarily a problem, but it hurts him when he’s searching for strikeouts, specifically against right-handed batters. Earlier in counts, hitters will let the pitch go, but as the count goes deeper, their approach becomes more defensive, fouling pitches off if they’re over the plate or ignoring them if they’re not. In two-strike counts, Kirby’s slider is no longer as effective — it can get strikes early in counts, but when it comes time to put a hitter away, it isn’t likely to induce chase off the plate. To underscore this point: 205 pitchers threw at least 100 sliders and/or sweepers in two-strike counts in 2023. George Kirby’s whiff rate on those two-strike sliders (16%) ranked 202nd.

The Kirby Corollary allows us to differentiate between two different types of command. There is the ultra-precise command that the Kirby Index captures. And then there is a subtler form of command, best exemplified by Kershaw, that is the ability to deceive one’s pitches by making them look the same out of the hand. They are both valuable, and they both involve trade-offs.

Fastballs can be very effective on the inside part of the plate, especially if thrown high in the zone. But if a pitcher never throws their fastball on the outer edges of the zone, they will have a tough time getting hitters to bite on their sliders. It’s tricky, because fastballs that are farther over the plate can get crushed. But they also unlock swing-and-miss.

I have to acknowledge that by the time this is published, it could well be old news. After all, Kirby himself appears to be actively changing. Compare his 2023 HRA overlap on the left to his 2024 overlap:

His slider KDE, indicated by the orange, has two distinct humps; in other words, Kirby is showing signs of a skewed bimodal distribution. In 2024 — and specifically in his last four starts — he’s throwing his slider more often from trajectories that look like the fastball. And hitters are finally starting to chase the pitch off the plate.

You do a bunch of analysis on data from the past, and while you’re coming up with a conclusion about that data, the ground shifts underneath your feet. As Eno Sarris wrote about the decreasing efficacy of the sweeper on Monday, echoing Max Bay’s comment about static stochastic response generating machines, “The game is itself one big training device, the more hitters see (the sweeper) the more they are trained to hit it (or not swing at it as the case may be).” But I think my research suggests that even as the game evolves at this impossible pace, the Kirby Corollary will remain true — in order to get batters to swing at the slider, you have to convince them it might be a fastball.


What if the Rockies Only Threw Knuckleballs?

Isaiah J. Downing-USA TODAY Sports

On the first knuckleball thrown at Coors Field in 16 years, Matt Waldron hit home plate umpire Bill Miller right in the nuts.

Nobody — not Waldron, not his catcher Kyle Higashioka, not Miller — appeared to know where the ball was going. Despite Higashioka frequently (and understandably) struggling to track the flight of the ball throughout the rest of the night, Waldron delivered a career-best performance, allowing just one run over six innings.

Perhaps the most surprising part of his performance was the setting. Since 2008, knuckleballers have dodged outings at Coors Field, which sits 5,200 feet above sea level. Conventional wisdom dictates that knuckleballs at altitude are a bad idea, as Cy Young-winning knuckleballer R.A. Dickey told Dave Krieger back in 2012. Read the rest of this entry »


Introducing the Kirby Index: A New Way to Quantify Command

Steven Bisig-USA TODAY Sports

In the course of researching the haphazard nature of JP Sears’ fastball command for my blog Pitch Plots, I realized I was missing the answer to a fundamental question: Why does the ball go where it goes?

Specifically, I had no idea which variables determine the physical location where a pitch crosses home plate. My first guesses revealed nothing: a combination of velocity, extension, spin, and release height had no relationship to a pitch’s eventual location. If it wasn’t any of these factors, what could Sears change to throw his fastball to better locations?

I was missing the key variable: the release trajectory. Trajectory, as defined here, is not just release height and width but also the vertical and horizontal release angles of the pitch, which are not widely available to the public on a pitch-by-pitch basis.

The release trajectory, it turns out, explains nearly everything about the ultimate location of a pitch. Read the rest of this entry »