TTOP and a starting pitcher’s repetoire

This is a follow up to my article on baseballprospectus.com about starting pitcher times through the order penalties (TTOP).

Several readers wondered whether pitchers who throw lots of fastballs (or one type of pitch) have a particularly large penalty as opposed to pitchers who throw more of a variety of pitches. The speculation was that it would be harder or take longer for a batter to acclimate himself to a pitcher who has lots of different pitches in his arsenal. As well, since most starters tend to throw more fastballs the first time through the order, those pitchers who follow that up with more off-speed pitches for the remainder of the game would have an advantage over those pitchers who continue to throw mostly fastballs.

First I split all the starters up into 3 groups: One, over 75% fastballs, two, under 50% fastballs, and three, all the rest. The data is from 2002-2012. I downloaded pitcher pitch type data from fangraphs.com. The results will amaze you.

FB %	N (Pitcher Seasons)	Overall	First Time	Second Time	Third Time	Fourth Time	Second Minus First	Third Minus Second	Fourth Minus Third
> 75%	159	.357	.341	.363	.376	.348	.027	.020	-.013
< 50%	359	.352	.346	.349	.360	.361	.003	.015	.010
All others	2632	.359	.346	.361	.370	.371	.015	.015	.013

…

Pitchers who throw mostly fastballs lose 35 points in wOBA against by the third time facing the lineup. Those with a much lower fastball frequency only lose 24 points. Interestingly, the former group reverts back to better than normal levels the fourth time (I don’t know why that is, but I’ll return to that issue later), but the latter group continues to suffer a penalty as do all the others. Keep in mind that the fourth time numbers are small samples for the first two groups, and that fourth time TBF are only around 15% of first time TBF (i.e., starters don’t often make it past the third time through the order) .

The takeaway here is that a starter’s pitch repertoire is extremely important in terms of how long he should be left in the game and whether he should start or relieve (we already knew the latter, right?). If we look at columns three and four, we can get an idea as to the difference between a pitcher as a starter and as a reliever, at least as far as times through the order is concerned (there are other considerations, such as velocity – e.g., when a pitcher is a short reliever, he can usually throw harder). The mostly fastball group is 16 points (around .5 runs per 9 innings) more effective the first time through the order than overall, while the low frequency fastball group only has a 6 point (.20 RA9) advantage. Keep in mind that some of that first time through the order advantage for all groups is due to the “first inning” effect (see my original article on BP).

Next I split the pitchers into four groups based on the number of pitches they threw at least 10% of the time. The categories of pitches (from the FG database) were fast balls, sliders, cutters, curve balls, change ups, splitters, and knuckle balls.

# Pitches in Repertoire (> 10%)	N (Pitcher Seasons)	Overall	First Time	Second Time	Third Time	Fourth Time	Second Minus First	Third Minus Second	Fourth Minus Third
1	41	.359	.344	.370	.375	.303	.027	.009	-.061
2	1000	.358	.343	.359	.371	.366	.016	.018	.007
3	1712	.361	.349	.362	.371	.372	.013	.015	.014
4	378	.351	.340	.351	.360	.368	.011	.013	.019

…

This is even more interesting. It appears that the fewer pitches you have in your repertoire, the more that batters become quickly familiar with you, we we might expect. One-pitch pitchers lose 36 points by the third time through the order, while four-pitch pitchers lose only 24 points. The fourth time through the order is exactly the opposite. Against one-pitch pitchers, pitchers gain 61 points (small sample size warning – 639 PA). Again, I have no idea why. Maybe fastball pitchers are able to ramp it up in the later innings, or maybe they start throwing more off-speed pitches. A pitch f/x analysis would shed some more light on this issue. Against the four-pitch pitchers, batters gain 19 points the fourth time around compared to the third. If we weight and combine the third and fourth times in order to increase our sample sizes, we get this:

# Pitches in Repertoire (> 10%)	N (Pitcher Seasons)	Overall	First Time	Second Time	Third and Fourth Times	Second Minus First	Third+ Minus Second
1	41	.359	.344	.370	.364	.027	-.001
2	1000	.358	.343	.359	.370	.016	.017
3	1712	.361	.349	.362	.371	.013	.015
4	378	.351	.340	.351	.361	.011	.015

…

Again, we see the largest, by far, second time penalty for the one-pitch pitchers (27 points), and a gradually decreasing penalty for two, three, and four-pitch pitchers (16, 13, and 11). Interestingly, they all have around the same penalty the third time and later, other than the one-pitch pitchers, who essentially retain their quality or even get a bit better, although this is driven by their large fourth time advantage, as you saw in the previous table.

It is not clear that you should take your one-pitch starters out early and leave in those who have multiple pitches in their weaponry. In fact, it may be the opposite. While the one-pitch pitchers would do well if they only face the order one time (and so would the two-pitch starters actually), once you allow them to stay in the game for the second go around, you might as well keep them in there as long as they are not fatigued, at least as compared to the multiple-pitch starters. Starters with more than one pitch appear to get 10-15 points worse each time through the order even though they don’t have the large penalty between the first and second time, as the one-pitch pitchers do. Remember, for the last two tables, a pitch is considered part of a starter’s repertoire if he throws it at least 10% of the time.

I’ll now split the pitchers into four groups again based on how many pitches they throw, but this time, the cutoff for a “pitch” will be 15% rather than 10%. The number of pitchers who throw four pitches at least 15% of the time each are too few for the their numbers to be meaningful, so I’ll throw them in with the three pitch pitchers. I’ll also combine the third and fourth times through the order again.

# Pitches in Repertoire (> 15%)	N (Pitcher Seasons)	Overall	First Time	Second Time	Third and Fourth Times	Second Minus First	Third+ Minus Second
1	447	.358	.342	.362	.364	.027	-.001
2	1954	.359	.346	.361	.370	.016	.017
3+	742	.355	.347	.352	.371	.013	.015

…

The three and four-pitch starters are better overall by three or four points of wOBA (.11 RA9). The first time through the order, however, the one-pitch starters are better by 5 points or so (.15 RA9). The second time around, the one-pitch pitchers fare the worst, but by the third and fourth times through the order, they are once again the best (by 6 or 7 points, or .22 RA9). It is difficult to say what the optimal use of these starters would look like. At the very least, these numbers should give a manager/team more information in terms of estimating a starter’s penalty at various points in the game, based on his pitch repertoire.

I’ll try one more thing: Two groups. The first group are pitchers who throw at least 80% of one type of pitch, excluding knuckleballers. These are truly one-pitch pitchers. The second group throw three (or more) pitches at least 20% of the time each. These are truly three-pitch pitchers. Let’s see the contrast.

# Pitches in Repertoire	N (Pitcher Seasons)	Overall	First Time	Second Time	Third and Fourth Times	Second Minus First	Third+ Minus Second
1 (> 80%)	47	.360	.343	.367	.370	.025	.009
3+ (> 20%)	104	.353	.350	.357	.357	.008	.009

…

It certainly looks like the 42 one-pitch pitchers (47 is the number of pitcher seasons) would be much better off as relievers, facing each batter only one time. They are not very good overall, and after only one go around, they are 25 points (.85 RA9) worse than the first time facing the lineup! The three-pitch pitchers suffer only a small (8 point) penalty after the first time through the order. Both groups actually suffer the same penalty from the second to the third (and more)  time through the order (9 points).

So who are these 42 pitchers who are ill-suited to being a starter? Perhaps they are swingmen or emergency starters. I looked at all pitchers who started at least one game – not just regular starters. Here is the complete list from 2002 to 2012. The numbers after the names are the number of TBF faced as starters and as relievers.

Mike Timlin 20, 352

Kevin Brown 206, 68

Ben Diggins 114, 0

Jarrod Wahburn 847, 0

Mike Crudale 9, 199

Grant Balfour 17, 94

Shane Loux 69, 69

Jimmy Anderson 180, 3

Kirk Reuter 620, 0

Jaret Wright 768, 0

Logan Kensing 55, 11

Tanyon Sturze 57, 277

Chris Young 156, 0

Nate Bump 33, 286

Bartolo Colon 2683, 49

Carlos Silva 876, 10

Aaron Cook 3337, 0

Cal Eldred 12, 141

Rick Bauer 21, 281

Mike Smith 18, 0

Shawn Estes 27, 0

Troy Percival 4, 146

Andrew Miller 306, 0

Luke Hochevar 12, 41

Luke Hudson 13, 0

Dana Eveland 15, 13

Denny Bautista 9, 38

Dennis Safarte 81, 274

Roberto Hernandez 548, 0

Mike Pelfrey 812, 0

Daniel Cabrera 881, 0

Frankie de la Cruz 15, 37

Mark Mulder 3, 9

Ty Taubenheim 27, 0

Brad Kilby 7, 58

Darren Oliver 17, 264

Justin Masterson 1794, 4

Luis Mendosa 60, 0

Ross Detwiler 627, 51

Cesar Ramos 11, 109

Josh Stinson 17, 21

Ross Detwiler 627, 51

Many of these pitchers barely had a cup of coffee in the majors. Others were emergency starters, swingmen, or they changed roles at some point in their careers. Others were simply mediocre or poor starting pitchers, like Kirk Reuter, Jarrod Washburn, Mike Pelfrey, Carlos Silva, and Daniel Cabrera, while others were good or even excellent starters, like Kevin Brown, Mark Mulder, and Bartolo Colon.

I think the lesson is clear. Unless a team has a compelling reason to make a one-pitch pitcher a starter (perhaps they are an extreme sinker-baller, like Brown, Cook, and Masterson), they should probably only relieve. If a team is going to use a swingman for an occasional start or a reliever for an emergency start, they would do well to use a two or three-pitch pitcher or limit him to one time through the order.

If we remove the swingmen and emergency starters as well as those pitchers who faced fewer than 50 batters in a season, we get this:

# Pitches in Repertoire	N (Pitcher Seasons)	Overall	First Time	Second Time	Third and Fourth Times	Second Minus First	Third+ Minus Second
1 (> 80%)	28	.353	.336	.364	.365	.028	.004
3+ (> 20%)	104	.353	.350	.357	.357	.008	.009

…

Even if we only look at regular starters with one primary pitch other than a knuckleball, we still see a huge penalty after the first time facing the order. In fact, the second time penalty (compared to the first) is worse than when we include the swingmen and emergency starters. Although these pitchers overall are as good as multiple-pitch starters, they still would have been much better off as short relievers.

Here is that updated list of starters once we remove the ones who rarely start. These guys as a whole should probably have been short relievers.

Cook

Miller

Colon

Diggins

Silva

Young

Cabrera

Wright

Washburn

Anderson

Masterson

Brown

Rueter

Kensing

Mendoza

Pelfrey

Hernandez

Detwiler

You might think that the one-pitch starters in the above list who are good or at least had one or two good seasons might not necessarily be good candidates for short relief. You would be wrong. These pitchers had huge second to first penalties and pitched much better the first time through the order than overall. Here is the same chart as before, but only including above-average starters for that season.

# Pitches in Repertoire	N (Pitcher Seasons)	Overall	First Time	Second Time	Third and Fourth Times	Second Minus First	Third+ Minus Second
1 (> 80%)	11	.328	.307	.332	.332	.039	-.013
3+ (> 20%)	35	.321	.318	.323	.323	.004	.003

…

Here are those pitchers who pitched very well overall, but were lights out the first time facing the lineup. Remember that these pitchers were above average in the season or seasons that they went into this bucket – they were not necessarily good pitchers throughout their careers or even in any other season.

Kevin Brown

Jarrod Washburn

Jaret Wright

Chris Young

Bartolo Colon

Carlos Silva

Justin Masterson

Ross Detwiler

Interestingly, the very good multiple-pitch pitchers had very small penalties each time through the order. These are probably the only kind of starters we want to go deep into games! Here is that list of starters.

Sonnanstine

B. Myers

Pavano

Sabathia

Billingsley

Carpenter

Hamels

Haren

F. Garcia

Iwakuma

Shields

J. Contreras

Beckett

Duchscherer

Gabbard

K. Rogers

Buehrle

M. Clement

Halladay

R. Hernandez

T. Hunter

Finally, in case you are  interested, here are the numbers for all of the one-pitch knuckleballers that I have been omitting in some of the tables thus far:

Knuckle Ballers Only	N	First Time	Second Time	Third+ Time	Second Minus First	Third+ Minus Second
	20	.321	.354	.345	.034	-.006

…

Where are all the knuckle ball relievers? Although we don’t have tremendous sample sizes here (3024 second time TBF), so we have to take the numbers with a grain of salt, it looks like they are brilliant the first time through the order but once a batter has seen a knuckleballer one time, he does pretty well against him thereafter (although we do see a 6 point rebound the third time and later through the order).

I think that more research, especially using the pitch f/x data, is needed. However, I think that teams can use the information above to make more informed decisions about what roles pitchers should occupy and when to take out a starter during a game.

Advertisement