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Monday, July 26, 2010

New stat: Runs Accounted For - RAF

Here’s a trivia question question that may stump even the most ardent of baseball fans and historians: What’s an offensive feat, measured over the course of a season, that Wally Berger, Nate Colbert and Sammy Sosa have accomplished and Lou Gehrig, Willie Mays and other immortals have not?

Answer: Colbert, Berger and Sosa are among a small group of players who had a hand in at least 30 percent of their team’s runs in a season.

I call this stat Runs Accounted For (RAF) and it’s fairly easy to calculate. Just add a player’s RBI and run totals for a season, subtract home runs since those count double, and divide by the total number of runs his team scores. From there, multiply by 100 to get the percentage of runs a player accounts for.

To be clear, RAF proposes that a player has a hand in any run he bats in or scores himself. While this admittedly leads to some double counting among teammates, since one player can score on another man’s RBI, I think it’s a good way to make relative comparisons between players of different eras and compensate for those who played on worse teams than others.

RAF rates players, past and present, who were most-indispensable to helping their teams score runs. The stat also rewards good base running, an underrated offensive skill and correlates strongly to OPS, a combination of on-base and slugging percentage. In fact, I used the lists of OPS leaders to seek out possible candidates for here.

What quickly became apparent in calculating RAF is that while many players have accounted for at least 25 percent of their team’s runs in a season, few have cracked 30 percent. I don’t know why this is. I found 14 players who have done it a total of 25 times. They are as follows, in order of highest RAF:

Player Year RAF Runs RBI HR Team Record Team Runs
1 Ted Williams 1942 36.53% 141 137 36 Red Sox 93-59 761
2 Honus Wagner 1908 34.02% 100 109 10 Pirates 98-56 585
3 Babe Ruth 1919 33.33% 103 114 29 Red Sox 66-71 564
4 Nate Colbert 1972 32.78% 87 111 38 Padres 58-95 488
5 Wally Berger 1935 32.52% 91 130 34 Braves 38-115 575
6 Ty Cobb 1909 32.13% 116 107 9 Tigers 98-54 666
7 Ty Cobb 1911 32.01% 147 127 8 Tigers 89-65 831
8 Nap Lajoie 1901 31.8% 145 125 14 Athletics 74-62 805
9 Chuck Klein 1933 31.795% 101 120 28 Phillies 60-92 607
10 Ty Cobb 1917 31.77% 107 102 6 Tigers 78-75 639
11 George Sisler 1919 31.71% 96 83 10 Browns 67-72 533
12 Sammy Sosa 2001 31.15% 146 160 64 Cubs 88-74 777
13 Ty Cobb 1915 30.98% 144 99 3 Tigers 100-54 778
14 Chuck Klein 1931 30.85% 121 121 31 Phillies 66-88 684
15 Joe Jackson 1912 30.72% 121 90 3 Naps 75-78 677
16 Ty Cobb 1907 30.59% 97 119 5 Tigers 92-58 693
17 Hank Aaron 1963 30.57% 121 130 44 Braves 84-78 677
18 Chuck Klein 1930 30.51% 158 170 40 Phillies 52-102 944
19 Babe Ruth 1921 30.49% 177 171 59 Yankees 98-55 948
20 Dale Murphy 1985 30.38% 118 111 37 Braves 66-96 632
21 Nap Lajoie 1910 30.29% 94 76 4 Naps 71-81 548
22 Ty Cobb 1918 30.25% 83 64 3 Tigers 55-71 476
23 Honus Wagner 1905 30.2% 114 101 6 Pirates 96-57 692
24 George Sisler 1920 30.11% 137 122 19 Browns 76-77 797
25 Jeff Bagwell 1994 30.07% 104 116 39 Astros 66-49 602

Several greats never cracked 30 percent, including: Barry Bonds, Joe DiMaggio, Lou Gehrig, Hank Greenberg, Ken Griffey Jr., Mickey Mantle, Willie Mays, Albert Pujols, Alex Rodriguez, and Al Simmons, whose careers I examined year-by-year on Baseball-Reference. If anyone has a player they think qualifies, let me know, and if necessary, I’d be happy to add him here.

In general, RAF appears to favor three types of players: Lone guns on bad teams; speedy contact hitters with sizable RBI and run totals, but few home runs; and those greats who would have shined no matter the era. The stat is less rewarding to a DiMaggio or a Gehrig, who had the misfortune — at least for our purposes here — to play on star-packed clubs. Gehrig may have the most runs ever accounted for in one season, with 301 in 1931, though that was just over 28 percent of the 1,067 his Yankees amassed. Most years, Ruth and Gehrig drove each others percentages down. Ruth, for his part, fell short of the 30 percent mark with his 60-home-run effort in 1927, as well as every other year of his final 14 seasons.

Interestingly, Bonds accounted for more runs before he (probably) started using steroids in 1999. Bonds accounted for more than 200 runs three times in his career: 1993, 1996 and 1998, one more reason he might have been better before steroids. Not to mention the younger, clean Bonds also won Gold Gloves (lots of them) which probably saved some runs, too.

Of the players who accounted for 30 percent or more of their teams’ runs at least once, I don’t know what’s more impressive: That Cobb accomplished the feat six times in a twelve-season stretch or that Ruth and Lajoie did it for multiple teams. More astonishing? Ted Williams’ 1942 season, where he hit for the Triple Crown and accounted for 36.53 percent of Boston’s runs, wasn’t enough for American League Most Valuable Player honors. The award went to Joe Gordon, who accounted for just 21.6 percent of the World Series champion Yankees’ runs and didn’t even lead his team in the stat, finishing behind Joe DiMaggio and Charlie Keller.

 

Graham Womack Posted: July 26, 2010 at 12:22 PM | 40 comment(s) Login to Bookmark
  Tags: general

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   1. Jose Can You Seabiscuit Posted: July 26, 2010 at 12:38 PM (#3599091)
Just scanning the list it looks like the key is to be a great player on a lousy offensive team.
   2. Best Dressed Chicken in Town Posted: July 26, 2010 at 12:45 PM (#3599095)
This is about as new as the Royal Air Force.
   3. Pasta-diving Jeter (jmac66) Posted: July 26, 2010 at 12:51 PM (#3599097)
This is about as new as the Royal Air Forc

"well, men, these maps are rather old, but what you do is fly out over Gaul, and drop your bombs on the Holy Roman Empire"
   4. stanmvp48 Posted: July 26, 2010 at 12:52 PM (#3599098)
People have been doing this as long as I can remember and it is still horsebleep. You subtract home runs "since those count double" but you don't compensate for all of the other runs which count double-even though you seem to recognize the issue. In other words you are punishing the home run hitter for scoring and driving in the run himself but giving a run scorer the full credit for the run which he did not drive in himself. If you add up all of the players who played for a team in a given year; you will reach the absurd conclusion that they "accounted for" almost 200% of the teams runs.
   5. RMc is the loyal supporter of the MLB event Posted: July 26, 2010 at 12:53 PM (#3599099)
Isn't this just the old Runs Produced stat? I remember seeing Spiro Agnew (!) talking about this on TV once. (Lord, I'm old...)
   6. RMc is the loyal supporter of the MLB event Posted: July 26, 2010 at 12:54 PM (#3599102)
You subtract home runs "since those count double" but you don't compensate for all of the other runs which count double - even though you seem to recognize the issue.

I seem to recall that Bill James said that the HR should be added back in, not omitted...
   7. Ron J Posted: July 26, 2010 at 01:06 PM (#3599107)
#6 I'm pretty sure that what he said was that it makes more sense to add the home runs back than to subtract them. IOW not advocating this as pouring more scorn on the notion of subtracting them in the first place.

And what's with the huge intro? Thumbnails.
   8. cercopithecus aethiops Posted: July 26, 2010 at 01:08 PM (#3599111)
Isn't this just the old Runs Produced stat?

No, no, no... You divide runs produced by the team's total runs scored, and multiply by 100! Bold and innovative!
   9. DetroitMichael Posted: July 26, 2010 at 01:11 PM (#3599114)
Apparently, the person who invented the statistic believes that a player who hits a solo home run should receive half as much credit as a player who gets a bases empty hit and then scores later in the inning. In both cases the player has one run scored and one RBI. There is no need to subtract the home run (and no need to add it in either).
   10. AROM Posted: July 26, 2010 at 01:12 PM (#3599116)
There are some things we don't need in this world. Near the top of the list is new names for old stats.
   11. Josh1 Posted: July 26, 2010 at 01:23 PM (#3599120)
Just scanning the list it looks like the key is to be a great player on a lousy offensive team.


Theoretically you'd want a few good players batting right around your great players that he can knock in, and they can knock him in and then have the rest of the team be terrible. A post DH-AL team is an impossible setting. You also don't want to be too much of a home run hitter, since this stupid stat arbitrarily punishes home runs (notice only three seasons with more than 40 HR on the list) for no sensible reason. A high average doubles hitter with the same SLG as a home run hitter should rate very well.

Interestingly, Bonds accounted for more runs before he (probably) started using steroids in 1999


Bonds' teams during his second peak were just too crappy to knock him in, teams walked him to reduce his RBI, and he had a huge amount of his value coming from home runs and less from other areas than he did when younger.
   12. sunnyday2 Posted: July 26, 2010 at 01:26 PM (#3599122)
#10. But RAF has nothing on the so-called "James Statistic."

I invented one, too, btw. Take RP and divide by opponents runs, just because I can. And call it "the Fear Factor."
   13. RMc is the loyal supporter of the MLB event Posted: July 26, 2010 at 01:30 PM (#3599125)
A stat I invented back in '84: Record When Leading After Final Out (RWLAFO). Do you realize the 1984 Tigers were an incredible 104-0 when they were leading after the final out? Amazing! (It's a parody of those "record after the Xth inning" stats. You'd be surprised how often people fall for it.)
   14. Nasty Nate Posted: July 26, 2010 at 01:41 PM (#3599129)
Record When Leading After Final Out (RWLAFO).


Bottom of the 9th, visiting team leads 1-0, records 2nd and "final out," next batter hits a 2-run homer to win the game. The visiting team has an 0-1 RWLAFO!
   15. Bob Dernier Cri Posted: July 26, 2010 at 02:15 PM (#3599158)
the key is to be a great player on a lousy offensive team

That or compile a huge number of R and RBI for any team.

The resulting mix of player-seasons that qualify doesn't share any interesting feature except curiosity. And yes, this is the kind of thing that Bill James would mess around with in the early Abstracts, without asserting much worth for it. IIRC Del Pratt was a monster for the real-bad Browns teams at either driving in or scoring a large percentage of their runs, which is one reason James paid more attention to Pratt than other historians, which is to say any at all.
   16. Liver of blaspheming 'zop Posted: July 26, 2010 at 02:27 PM (#3599173)
This stat should be called "Runs, Even Taking Away Random Dingers"
   17. Pasta-diving Jeter (jmac66) Posted: July 26, 2010 at 03:08 PM (#3599213)
And yes, this is the kind of thing that Bill James would mess around with in the early Abstracts, without asserting much worth for it.

I recall he very specifically mentioned that Nate Colbert had the record for most RBIs as a percent of team runs (and he also very specifically mentioned that it was a meaningless curiosity)
   18. stanmvp48 Posted: July 26, 2010 at 03:31 PM (#3599237)
"Apparently, the person who invented the statistic believes that a player who hits a solo home run should receive half as much credit as a player who gets a bases empty hit and then scores later in the inning. In both cases the player has one run scored and one RBI. There is no need to subtract the home run (and no need to add it in either). "

No. The second guy has one run scored but not an RBI. Nonetheless, he gets one run "accounted for" the same as the guy who hits a solo home run, which is obviously preposterous. The logical thing is to add runs and rbis and divide by two, so that you are counting none of them twice.
   19. Pat Rapper's Delight Posted: July 26, 2010 at 03:48 PM (#3599258)
Worst. Stat. Ever.
   20. Cabbage Posted: July 26, 2010 at 03:58 PM (#3599265)
Hey, this is still better than the Snow Index.

but yeah, as a one-off quick hit, that was a fine a fun read.
   21. Petuniaviles Posted: July 26, 2010 at 04:18 PM (#3599284)
I like the quiet confidence of the headline. New Stat, it calmly announces. No need for an attribution; we don't need to know where this discovery has been made in order to be excited about it. Simple. Strong. Groundbreaking.
   22. Fred Garvin still has outstanding warrants Posted: July 26, 2010 at 04:53 PM (#3599312)
There are some things we don't need in this world. Near the top of the list is new names for old stats.

Closely behind it is new stats.
   23. Johnny Sycophant-Laden Fora Posted: July 26, 2010 at 05:08 PM (#3599332)
I like the quiet confidence of the headline. New Stat, it calmly announces. No need for an attribution; we don't need to know where this discovery has been made in order to be excited about it. Simple. Strong. Groundbreaking.


Every 3-4 years some baseball fan, interested in stats, but one who has never read Pete Palmer, Bill James, Total baseball or BPro, or visited this site, has the dual realization that outs should be used as a denominator instead of "at bats", and that total total bases (total bases plus walks, steals etc) should be used instead of hits, and voila! reinvents Total Average- a stat which would have been ground breaking 50+ years ago.

Every 3-4 years likewise, someone thinks that adding Runs + Ribbies and subtracting HRs makes sense... Total Average of course makes sense- the elements are weighted wrong, but the idea is sound, "Runs Produced" does not make sense- there is some hope for those who reinvent Total Average, none for the Runs Produced crowd.
   24. John Northey Posted: July 26, 2010 at 05:25 PM (#3599345)
Well, calling it 'percentage of a teams runs a player was directly involved in' has some use. More as a freak show stat, but at least it tells you something. Much like Steve Carlton's 27 wins for that horrid Philly team did as a percentage of team wins. It tells you a guy is really good but surrounded by not so good players. The best situation for this RBI/run stat though is probably to have a leadoff hitter ala Rickey Henderson followed by a guy who hits lots of doubles/triples and walks a lot [who would be the guy leading in this stat] followed by two Joe Carter types then the rest of the lineup being Mario Mendoza types (ie: still figuring out what end of the bat to use).
   25. AROM Posted: July 26, 2010 at 05:36 PM (#3599359)
(ie: still figuring out what end of the bat to use).


When my brother and I used to play whiffleball, we'd go through an entire lineup, and when you get to the pitcher's spot, the rule was you had to flip the bat around. Mendoza was a bit before our time, but if Rafael Belliard was part of the lineup the same rule applied.
   26. Nasty Nate Posted: July 26, 2010 at 05:39 PM (#3599363)
When my brother and I used to play whiffleball, we'd go through an entire lineup, and when you get to the pitcher's spot, the rule was you had to flip the bat around.


we called that hitting 'chicken-leg style'
   27. Greg Pope Posted: July 26, 2010 at 05:57 PM (#3599385)
Well, calling it 'percentage of a teams runs a player was directly involved in' has some use. More as a freak show stat, but at least it tells you something.

But even then, people screw it up. You can't divide by total runs if you give credit to both the R and the RBI. You either need to divide by total team R and RBI or by double the total runs. Neither one will give you the proper answer anyway since the first doesn't count some of the runs under RBI (RBI on double plays, on errors, etc.) and the second will result in your players not adding up to 100%.

And subtracting HR is just asinine.
   28. Karl from NY Posted: July 26, 2010 at 06:06 PM (#3599395)
Do you realize the 1984 Tigers were an incredible 104-0 when they were leading after the final out?


I was once fascinated for some time by an article pointing out that the Knicks were something like 86-0 in the Ewing era when they scored over 100 points and allowed under 100.

How about we count baseball runs like hockey points? Every run has a scorer and 0 to 3 assists. Who are the career leaders in that? Does a stolen base count as assisting your own run?
   29. Teheran's Uranium Enriched Missiles Posted: July 26, 2010 at 06:16 PM (#3599408)
Every 3-4 years some baseball fan, interested in stats, but one who has never read Pete Palmer, Bill James, Total baseball or BPro, or visited this site, has the dual realization that outs should be used as a denominator instead of "at bats", and that total total bases (total bases plus walks, steals etc) should be used instead of hits, and voila! reinvents Total Average- a stat which would have been ground breaking 50+ years ago.

I fall into this category. the question I have has been bothering my subconscious for a while. Has anyone normalised the total bases generated per out for a player ( adding in stolen bases ). Because this seems a much better way of comparing hitters than OPS+.
Similarly, total bases per out generated and given up as a better indicator than a pythagorean record.

For pitchers, we can even flip it( ha! what an idea! outs per total bases given up ). Though this won't help comparing relievers and starters, these metrics imo ( and a lazy one at that, since I haven't bothered to create a full spreadsheet ) seems a better tool to compare hitters and pitchers than era+ and ops+.
   30. Matthew E Posted: July 26, 2010 at 08:01 PM (#3599573)
No, no; I get it. It's just seeing which players were involved in actual scoring to what extent. But here's the way to do it: for the denominator, take total team runs and double it, and subtract home runs. That way you're recognizing that there's only one person's worth of credit to go around for a run where you drive yourself in. Still not perfect, but better.

And of course it's not for serious analysis.

--

When I saw the article, I was wondering if somebody had made a stat where, for each run, you broke it down into the contributions of everyone whose actions led to the run. Like, the starting pitcher walked the leadoff hitter (.15), the leadoff hitter took the walk (.15), the next hitter hit a ball into the gap (.2 for him, .2 for the pitcher), the outfielder let it get past him to the wall (.3)... something like that.
   31. Randy Jones Posted: July 26, 2010 at 08:08 PM (#3599580)
I fall into this category. the question I have has been bothering my subconscious for a while. Has anyone normalised the total bases generated per out for a player ( adding in stolen bases ). Because this seems a much better way of comparing hitters than OPS+.
Similarly, total bases per out generated and given up as a better indicator than a pythagorean record.


Total bases does not include walks, hbp, etc.
   32. Teheran's Uranium Enriched Missiles Posted: July 26, 2010 at 08:15 PM (#3599590)
Total bases does not include walks, hbp, etc.


The version I was thinking of was did. every offensive contribution like hbp, walks, sbs, reaching on error. anything done which didnt create an out
   33. Johnny Sycophant-Laden Fora Posted: July 26, 2010 at 08:21 PM (#3599598)
The version I was thinking of was did. every offensive contribution like hbp, walks, sbs, reaching on error. anything done which didnt create an out


I think you are reinventing
this

Take every base, including walks, steals, sac hits, ROE, etc (subtract CS, GDP etc) divide by outs.
Because this seems a much better way of comparing hitters than OPS+.
Similarly, total bases per out generated and given up as a better indicator than a pythagorean record.


1: it correlates very well with runs, but not as well as OPS or OPS+
2: It doesn't correlate as well with actual W-L as Pythagorean W-L does.
   34. smileyy Posted: July 26, 2010 at 08:36 PM (#3599622)
Since we're talking about stats, new or not, can someone tell me if any calculates (what I'm calling) Positional OPS+ or "pOPS+"? That is, a players OPS+ not relative to the league, but relative to the league at his positions.

It seems like a straightforward calculation, if a bit more data-intensive. It'd answer the non-obvious (to me) question of whether a 95 OPS+ is good for a SS, or a 125 OPS+ is good for a 1B.

Heck you could even calculate it for every position, just to see how Joe Mauer would rate as a 1B. You could prefix the stat with each position's number, e.g., 3OPS+ is OPS relative to all 1B in the league.
   35. BWV 1129 Posted: July 26, 2010 at 08:39 PM (#3599633)
Apparently, the person who invented the statistic believes that a player who hits a solo home run should receive half as much credit as a player who gets a bases empty hit and then scores later in the inning. In both cases the player has one run scored and one RBI. There is no need to subtract the home run (and no need to add it in either).

Eh? The first guy has 1+1-1=1; one Run Participated In (as Tango calls it, and which is terminology I support, and I think I even used something similar once upon a time). The second guy has 1 for the run he scored. If you mean to say the second guy also drove in a run, then he's 1+1-0=2; two RPI. It makes sense.

You have to take out the HR. RPI is highly context-dependent, as it's based on two statistics that are highly context-dependent, and you probably wouldn't want to use it to provide any serious valuation of a player. It is descriptive, however, and is as useful as the user wants to make it.
   36. dcsmyth1 Posted: July 26, 2010 at 09:00 PM (#3599663)
"Total Average of course makes sense- the elements are weighted wrong, but the idea is sound."

No, TA is essentially bases per out. The problem with TA is not that the weights are wrong, it's that the data is incomplete. If we had complete data on every base and every out, TA would correlate 100% with runs. The only remaining problem with *full* TA would be the attribution of each base and out to individuals, when more than one player is involved, which would involve some subjective judgement. But in theory, TA, or bases per out is a perfect stat.
   37. Willie Mayspedes Posted: July 26, 2010 at 09:24 PM (#3599690)
A fast hitter would do well by beating out double play grounders and then ending up scoring the run later in the inning.
   38. Greg Pope Posted: July 26, 2010 at 09:28 PM (#3599692)
Eh? The first guy has 1+1-1=1; one Run Participated In (as Tango calls it, and which is terminology I support, and I think I even used something similar once upon a time). The second guy has 1 for the run he scored. If you mean to say the second guy also drove in a run, then he's 1+1-0=2; two RPI. It makes sense.

You have to take out the HR. RPI is highly context-dependent, as it's based on two statistics that are highly context-dependent, and you probably wouldn't want to use it to provide any serious valuation of a player. It is descriptive, however, and is as useful as the user wants to make it.


As a counting stat, sure, it's descriptive. But not as a percentage of anything unless you take the RPI for every player on the team and add them up and use that as the denominator.

Even then, I have no idea how this would be useful at all.
   39. Graham Womack Posted: July 27, 2010 at 12:26 AM (#3599869)
Hi guys, thanks for taking some time to read about my stat.

First off, I understand if something like this already exists. I read every great baseball book I can get my hands on but don't know them all (I'm 26.) I admittedly have not read much Bill James, Pete Palmer or John Thorn and haven't studied Baseball Prospectus or this site beyond to note when my work has been linked to in either place.

I also understand that the stat I propose, RAF is a little wacky. I emailed Thorn about it on Friday and he concluded it was "an oddball notion." Fair enough, but I think RAF is valuable in two ways:

1) I have been reading a Ted Williams' book where he ranks the 20 greatest hitters of all-time. Williams values power hitters with good OPS, overlooking great contact hitters like George Sisler, Honus Wagner and Nap Lajoie, not to mention Rod Carew and Tony Gwynn. This bothered me, and I wanted to find something that would reward those types of hitters, who I would argue were just as valuable as any number of sluggers.

2) I gave this defense of my stat to Thorn, and I think it bears repeating here:
I stand behind my stat. It suggests players who would have done even better if they'd had half-decent supporting casts around. To suggest that one's teammates don't generally have a hand in how well a player does seems nearsighted at best.

Why not celebrate those who shined with little or no help? Why not honor players who might be in Cooperstown if they'd had a Lou Gehrig or a Charlie Gehringer or an Al Simmons to help their cause? Just think of the damage Wally Berger or Nate Colbert would have done on one of the powerhouses of the late 1920s or '30s.
   40. The District Attorney Posted: July 27, 2010 at 12:33 AM (#3599879)
Just think of the damage Wally Berger or Nate Colbert would have done on one of the powerhouses of the late 1920s or '30s.
They would have had more runs scored and RBI, yes. Which is precisely (one of the reasons) why we don't like relying much on those stats. They are team-dependent. Flipping such stats on their heads, so that you can only do well in them if your team stinks, doesn't make them any less team-dependent at all. So doing that doesn't help us any towards the goal of determining the value of the individual player.

Williams values power hitters with good OPS, overlooking great contact hitters like George Sisler, Honus Wagner and Nap Lajoie, not to mention Rod Carew and Tony Gwynn. This bothered me, and I wanted to find something that would reward those types of hitters, who I would argue were just as valuable as any number of sluggers.
Your desire to come up with a stat that confirms what you believe to be true, regardless of whether it actually is or not, does not represent science. (Admittedly, Williams' thought process as you describe it isn't necessarily science either. But, science would yield something closer to his conclusion than to yours, anyway.)

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