Speedsters and the Issue of Playing Time
Playing time can make or break a baseball player’s fantasy value. An elite player may not finish above replacement level if he suffers an injury and plays only half the season, and a lackluster player could finish above replacement level simply by playing every single day. This is all intuitive, and the fantasy community generally approaches these kinds of things rationally. In other words, most players are appropriately valued, outside of the market inefficiencies that inevitably warp player values.
One-dimensional speedsters — dudes who steal a bunch of bases and do little else — are much harder to peg. Their value is tied up primarily in one category, as stolen bases (SBs) do not directly correlate with other categories the way home runs would with runs and RBI, for example. The issue becomes all the more confounding when one considers the contemporaneous scarcity of SBs relative to home runs. There’s more to value than just SBs and plate appearances (PAs), but the fact of the matter is the two statistics by themselves correlate very strongly with a player’s end-of-season (EOS) value (which, here, are informed by Razzball’s Player Rater).
In the last five years, baseball has seen 75 player-seasons of 30-plus SBs — 15 steals a year on average, a trend that didn’t fundamentally change in 2016 (although that doesn’t mean SBs aren’t scarce). A simple linear regression of SBs and PAs, the latter of which serves as a proxy for other counting stats such as runs and RBI, against EOS value produces a remarkable 0.71 adjusted R2:
EOS = 706.787 — 2.771*SB — 0.835*PA
It’s not an especially rigorous model, and the sample size is especially small, but there still exists a strong correlation, the likes of which can be used to better inform us about the value of base-stealers. Using FanGraphs’ Depth Charts projections, which rely on Steamer projections and staff-allocated playing time, I identified a baker’s dozen worth of “one-dimensional” speedsters and calculated their expected EOS values based on their projected SBs and PAs:
| Name | NFBC ADP | xSB | xPA | xEOS | EOS – ADP |
|---|---|---|---|---|---|
| Dee Gordon | 45 | 50 | 630 | 41.9 | -3.1 |
| Trea Turner | 10 | 38 | 630 | 75.2 | 65.2 |
| Travis Jankowski | 286 | 38 | 630 | 75.2 | -210.8 |
| Billy Hamilton | 50 | 56 | 525 | 113.0 | 63.0 |
| Jonathan Villar | 19 | 43 | 560 | 119.8 | 100.8 |
| Tim Anderson | 161 | 21 | 630 | 122.3 | -38.7 |
| Jose Peraza | 131 | 31 | 595 | 123.8 | -7.2 |
| Eduardo Nunez | 114 | 29 | 575 | 146.1 | 32.1 |
| Manuel Margot | 246 | 24 | 560 | 172.4 | -73.6 |
| Keon Broxton | 182 | 28 | 525 | 190.6 | 8.6 |
| Jarrod Dyson | 247 | 35 | 406 | 270.6 | 23.6 |
| Raul Mondesi | 389 | 22 | 385 | 324.2 | -64.8 |
| Mallex Smith | 353 | 21 | 273 | 420.5 | 67.5 |
Before you get all up in arms: Trea Turner and Travis Jankowski are obviously not equals. Turner and Jonathan Villar have demonstrated non-zero power. So, too, has Eduardo Nunez and Keon Broxton, and maybe Manuel Margot will end up with double-digit pop one day. Also, Turner appears to have a plus hit tool that should play up his batting average. (The verdict is still out on if he can actually maintain a high batting average on balls in play [BABIP], but this is really not a discussion I want to have right now.) Ultimately, the point is all of these hitters generate most of their value through their speed. In a vacuum, it’s evident we over- and under-value certain players.
The EOS-ADP column indicates the difference in a hitter’s National Fantasy Baseball Championship average draft position (NFBC ADP) and his expected EOS value. Minus is good, plus is bad.
Underrated
Alas, Jankowski may be baseball’s most underrated speedster. I don’t think he will record 630 PAs — competing with Margot, Hunter Renfroe and my boy Alex Dickerson, he could very well end up the odd man out — but given his SB frequency, he would only need to record 419 PAs (and only 25 SBs!) to pay off his draft price. It’s a very attainable playing time threshold, given the Padres will be bad and injuries happen. Reiterating the caveat: this regression considers nothing else of a player’s tools, and Jankowski doesn’t have much else to tout. Still, no matter your take, he is vastly underrated heading into 2017.
Speaking of Margot, he isn’t necessarily guaranteed playing time, either. The San Diego outfield could be a revolving door of hot hands. But, similarly to his teammate, he would need to record only 483 PAs and roughly 21 SBs to break even. Given he’s part of the Padres’ future, I wouldn’t be surprised to see him surpass those marks.
Frankly, I expected Tim Anderson to be overrated. But if he actually plays second base full-time for the White Sox, anything more than his projected 21 SBs is gravy. It just seems like folks are expected even more speed from him, but he suddenly stopped running after his 2015 Double-A stint, so I don’t really know what to think.
I’m suddenly intrigued by Raul Mondesi, Jr. Brandon Warne now manages the American League Central depth charts, so I trust that he has his finger on the pulse of those teams (especially the Minnesota Twins). Mondesi is projected for far more playing time than I expected of him in 2017, and he would only need to play about half the season to pay off his ADP.
Overrated
By this measure, Turner and Villar are both overrated. And I think that’s true, to an extent. But, again, this measure overlooks their other merits — namely, modest power and anywhere from above-average to elite batting average. I think what’s more interesting is Steamer projects more SBs and less PAs for Villar, and I don’t see any reason why he wouldn’t play a full season the same way Turner would. Give Villar another 30 to 40 PAs and he’s already expected to pay off a bit better than Turner.
*Ironically, I moderate the National League Central depth charts, so I have no one to blame but myself for his bearish playing time. But I’m generally more bearish with my playing time estimates for all players, not just Villar.
Billy Hamilton’s ADP basically reflects an expectation of 62 SBs and and 581 PAs — something I think a lot of folks who draft him are hoping for. If he can turn back the clock to 2014 regarding his playing time, he’s gold. But that’s a big “if.”
Mallex Smith is a bit overrated here — his lack of playing time projects him to fall outside the top 400 EOS. But you have to dream on his upside: Steamer projects him to be every bit as speedy as Villar. (I’m talking exactly as speedy: 43 SBs per 560 PAs, just like Villar.) And Smith also has a bit of pop. He’s buried on the Rays’ depth chart, but any injury to Kevin Kiermaier, Colby Rasmus, Steven Souza Jr. or Corey Dickerson could open the door for him to more playing time than just spelling the starters on rest days.
Conclusions
For the thousandth time, caveats abound for this analysis. Namely, it overlooks literally everything but SBs (although PAs account for runs and RBI by proxy). That’s a big deal. But when it comes down to it, a limited regression analysis demonstrates that PAs and SBs alone correlate very strongly with EOS value. You can adjust your own mental calculus for certain players accordingly, but this methodology has at least revealed to us some underrated speedsters to target later in your drafts — and maybe some elite players about whom you should maybe be bearish.
For reference, here are each player’s expected SBs and PAs in order to break even on his ADP:
| Name | ADP | xSB | xPA | ΔSB | ΔPA |
|---|---|---|---|---|---|
| Dee Gordon | 45 | 49.8 | 627 | -0.2 | -3 |
| Trea Turner | 10 | 41.9 | 695 | 3.9 | 65 |
| Travis Jankowski | 286 | 25.3 | 419 | -12.7 | -211 |
| Billy Hamilton | 49 | 62.0 | 581 | 6.0 | 56 |
| Jonathan Villar | 19 | 50.4 | 656 | 7.4 | 96 |
| Tim Anderson | 161 | 19.6 | 588 | -1.4 | -42 |
| Jose Peraza | 131 | 30.6 | 587 | -0.4 | -8 |
| Eduardo Nunez | 115 | 30.6 | 607 | 1.6 | 32 |
| Manuel Margot | 246 | 20.7 | 483 | -3.3 | -77 |
| Keon Broxton | 181 | 28.5 | 534 | 0.5 | 9 |
| Jarrod Dyson | 246 | 37.0 | 429 | 2.0 | 23 |
| Raul Mondesi | 389 | 18.3 | 320 | -3.7 | -65 |
| Mallex Smith | 352 | 26.0 | 338 | 5.0 | 65 |
Two-time FSWA award winner, including 2018 Baseball Writer of the Year, and 8-time award finalist. Featured in the print edition of Baseball Prospectus since 2022 (2026 edition out now). Biased toward a nicely rolled baseball pant.
The most underrated in my opinion didn’t even make the list: Ben Revere. Price is basically nil, but averaged 35 steals/year until last year when BABIP cratered. Backup at all 3 OF spots in depth charts. I’ll be surprised if he doesn’t swipe 25 bases.
Only problem with Revere is that you stand to lose so much in the other categories.
Mallex Smith has been traded (twice in fact)
Ah! Yes, to the Mariner-Rays. Point still stands on his playing time, but I appreciate the correction.
Yes, Mallex Smith is now with the Rays — though his playing time will likely be limited.
At around the halfway point of the article, I thought “what I really want to know is how many PAs these guys need to get to represent good values” … and then I immediately see the last table.
Well done.
Haha, that was my original intent, but when I finished the post I realized I had strayed… sorry for burying the lede!
This feels like the right way to think about speed. The high SB guys are always hanging out right on the margins of starting jobs vs. bench roles. If anyone had been projecting Villar for full playing time last year, he probably would have been drafted much higher for the SB’s alone.
“For the thousandth time, caveats abound for this analysis.”
Wouldn’t it be funny if there were literally 1,000 statements about the caveats in this analysis?
Also, I have this weird feeling I’m not going to end up with much speed in the early rounds and I’m antsy about not knowing what to do with the Jankowski/Mallexes of the world.
I know you said “caveats abound”, but I just don’t get this article.
Your primary linear regression equation, which you use to find under-and-over-valued players, puts Travis Jankowski on par with Trea Turner. Of course you rightly note that this doesn’t mean the players are equal…but that doesn’t stop you from using the formula for the rest of the article to find “undervalued” players! If your equation can’t be trusted to differentiate between Turner and Jankowski, why use it at all?
You could accomplish the purpose by running the player projections through a valuation formula to create $$ values (ADP) and then tweaking the PAs to find the breakeven point. This has the upside of actually taking into account the rest of the categories that differentiate Turner from Jankowski.
So I should have been a little clearer about this: it’s Turner who I think may not adequately fit the model, not everyone else. Aside from him (and maybe Villar), I think the model does a very good job of doing what it does. The 0.71 R2 says as much. However, the R2 also would actually say that Turner does fit the model — hence, the good fit in the first place. It’s just that I think he’s most likely to stray from it, and everyone else seems to think so, too. I think the model actually provides a lot of utility.
Jeff Zimmerman has written about converting ADP to dollar values; there’s actually a pretty simple (well, “simple”) logarithmic equation into which you can plug in a number and out pops a dollar value (or vice versa). I would peruse his author page for more info.
Sorry, didn’t see your reply before I posted mine.
Primary point: I don’t see the value of leaving out the players’ other statistics when it’s not hard to incorporate. Is there an upside to limiting the data in the model that I’m not seeing?
No worries! Well, the EOS values are based on a specific formula. So, theoretically, there wouldn’t be any need to use a regression — I could just plug category values into the equation and it would produce the EOS ranking (or dollar values). Using a regression for all categories would only reverse-engineer the original equation, and crudely. You’re right, they’re not hard to incorporate. And no, there’s no inherent upside to not incorporating them — it was mostly just a simplified approach to test a specific theory about a certain type of player (namely, the one-dimensional speedster).
To be clear, incorporating all categories would certainly be a good way — perhaps the best way! — to identify players whose expected value differs from their draft price in a very precise way. And it would inevitably yield interesting results (although maybe not necessarily surprising ones — for example, we likely know why many guys like Trea Turner and Gary Sanchez might be overvalued, or Justin Upton and Carlos Gomez might be undervalued). Anyway, I’m rambling. But the short answer is probably not very satisfying. Hope this helps illuminate my thought process a little, though.
For example, Billy Hamilton. Every league permutation impacts the $$ value, but here’s what I came up with.
Your SB per PA = .106
Your PA = 525
$$ = $10.1 (unique to my valuation formula of course)
Rank = 124 (pretty close to your 113)
To get Hamilton up to NFBC ADP rank 50, he needs to be a $19.7 player in my league. To earn nearly $20, he’d need to get 640 PA. That’s quite a bit more than your breakeven point suggests just using this regression.
Again – I get the big picture concept. Just feels like you’re leaving out a bunch of relevant data that isn’t very hard to incorporate.
Billy Hamilton has recorded 57 and 58 SB in 454 and 460 PA respectively the past two years. Maybe the PAs stay low and he continues to lack high run totals. But 62 steals in 562 PAs is crazy low.
Keep in mind these are Steamer projections. But also, I agree — and if he comes anywhere close to replicating his 44 SB in from June through August, but for both halves of 2017… wow.
I couldn’t pass Hamilton up at 78 in my first draft of the year. The upside is just so easy to see. Every time on base is a 50% chance for another steal, which means if his 2nd half BB% gain is real, if he gets 600 PAs, or if he gets just a little BABIP luck his value shoots up a ton. Much more than those things would help any other player.
His Runs projection also seems low across the board, considering how often he scores when he’s on base, the highest of any player since 2013 (http://www.fangraphs.com/blogs/billy-hamilton-the-absolute-freak/)
No Hernan Perez ? Especially with 3B eligibility ?
PS – Rajai Davis is in the underrated SB HOF and will probably be in the mix again this year.
I sorted by Steamer’s projected SBs, but I also cherry-picked a bit at the top. Don’t know how I overlooked Davis, though… as for Perez, I don’t think he was in top-20 SBs given his playing time, but not sure. I agree that both could easily out-earn their ADPs. Davis has done so almost perennially for half a decade.