The Third Time (Through the Lineup) Is a Charm
On Monday I wrote about Chris Tillman’s success the third time through the lineup this season and how that seemed at odds with his established ability to limit hard contact. It turns out there isn’t much of a relationship between those things, so it’s likely that Tillman is due for some regression when facing batters for a third time in a game going forward. It’s likely because excellent research done by Michael Lichtman shows that a pitcher’s past deviations from the typical decline in performance each time through the lineup is not predictive of future performance. He estimates a pitcher would need about eight full seasons of significantly deviating from the average decline each time through the order before that data would become reliable in a predictive sense.
With that said, let’s look at the starters who have been the best the third time through the lineup this year. Most are regression candidates, but there are a few exceptions.
| Player | 1st OPS | 2nd OPS | 3rd OPS | Season |
|---|---|---|---|---|
| Carlos Carrasco | 0.603 | 0.638 | 0.407 | 0.569 |
| Joe Kelly | 0.711 | 0.853 | 0.488 | 0.713 |
| Kyle Hendricks | 0.668 | 0.594 | 0.502 | 0.588 |
| Garrett Richards | 0.584 | 0.482 | 0.513 | 0.529 |
| Felix Hernandez | 0.468 | 0.600 | 0.515 | 0.548 |
| Gio Gonzalez | 0.713 | 0.734 | 0.521 | 0.671 |
| Chris Tillman | 0.753 | 0.684 | 0.532 | 0.661 |
| Alex Wood | 0.667 | 0.661 | 0.534 | 0.648 |
| Hisashi Iwakuma | 0.663 | 0.616 | 0.543 | 0.617 |
The full sample was the 175 starters with the most innings pitched against hitters the first time through the lineup this year. Carrasco and Kelly were the only two with a 3rd time through OPS more than two standard deviations better than the mean. A huge part of that is the small sample size we’re dealing with here. Carrasco has only faced 59 batters in their third plate appearance of a game, and Kelly has faced only 78.
Given that Lichtman’s research tells us that we should expect a pitcher’s performance to decrease in line with the league averages, Carrasco’s third time through OPS “should be” around .675. Actually, it would be helpful if you knew the league averages and how they change each time through the lineup, wouldn’t it?
| 1st OPS | 2nd OPS | 3rd OPS | Season | |
|---|---|---|---|---|
| League Average | 0.678 | 0.708 | 0.751 | 0.710 |
So to be clear, Carrasco is still pitching like a well above average pitcher. He’s just likely to have less success in the later innings next year. Using his second time through OPS as Carrasco’s norm (as Lichtman’s research suggests we should), he’s pitching like a top 25 starter in terms of OPS against. Of course that’s a far cry from the top five starter he has been over the last 30 days. Not that anyone will be drafting Carrasco in the top five at the position next year. And given his struggles earlier this year he probably won’t even be going near the top 25. There’s a good chance he’s a value on draft day next year even though this post is warning of some regression. It’s all relative.
Kelly is a different animal because he hasn’t followed the typical pattern at all. He’s likely been a little unlucky the second time through the lineup, but he’s more than made up for it the third time through. But because those two even out, you probably don’t have to worry about Kelly regressing significantly. You could say the same for King Felix. He hasn’t followed the usual pattern, but his variations are smaller than Kelly’s and only minor regression should be expected.
It’s the other guys on this list you need to be worried about. You can probably worry less about Hendricks than the others because his sample size is so small the third time through (72 PA). And again, all the sample sizes are small. We’re talking about 150ish to 225ish plate appearances against guys getting their third plate appearance in a game. But to say you can worry less about Hendricks because of the extremely small sample size is to say that the regression won’t hurt as much because he has less distance to fall. It’s not to say that the small sample sizes mean the regression isn’t coming. It is. That doesn’t mean you have to avoid Richards, Gio, Tillman, Wood and Iwakuma next year. It just means you’ve got to fade them a bit. Maybe their ADPs will be depressed for other reasons and they’ll still be worth drafting. But this should factor into your valuation of them next draft season.
You can find more of Brett's work on TheFantasyFix.com or follow him on Twitter @TheRealTAL.
Couldn’t the improvement the third time through be a form of selection bias? As in, they only face the opposing lineup three full times during good starts, whereas during bad starts they might get knocked out early?
Then wouldn’t all pitchers have better numbers the third time through? If you haven’t, read the Lichtman research piece I linked to above. Think it handles your question.
Well you also kind of touched upon it in your piece – individual pitchers have relatively small sample sizes, so it’s hard to say whether or not these would be their “true” values in the long run.
I think in some cases, the “selection bias” referenced is a legitimate concern. For example, Carrasco. His 1st/2nd time numbers include his early season meltdowns. His 3rd time through numbers don’t because he generally didn’t get to face hitters three times back then. So unsurprisingly, they’re better.
Right. The research shows that in the long run pitchers tend to follow the typical pattern of performing worse each time through the lineup. So there is no selection bias issue.
The research also shows that in the long run they perform better each previous time through the lineup. So by that logic, Carrasco’s OPS should be under .400 the first 2 times through the lineup.
Obviously that isn’t the correct way of looking at things, even assuming the sample size was a whole season.
I don’t think it’s fair to say a pitcher like Carrasco will have a worse OPS next year due to the distribution of his OPS. Now there may be reasons to think that he shouldn’t be relied on as an ace which would be as a result of other factors, but I don’t think Lichtman himself would approve of the use of his study. If you were to project a pitcher’s OPS next year using only this year’s OPS, you would project both an improvement of his first two times through the order, as well as a regression of his third time through the order.
I believe that all pitching results should be used as predictors, not just a pitchers’ first two times through the order. I find the idea that Richards, Gio, Tillman, Wood and Iwakuma will regress as a whole, simply because their distribution is backwards, is ludicrous. Lichtman was talking deviations from the mean OPS. This article is misinterpreting that as Lichtman saying that mean OPS will be expected to increase. No, it won’t. The pitchers will just be expected to have more early success and less later success. Don’t ignore the more early success part.