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double played

mulder: 14-1, 1.88 at night.

say it with me, people: just go with it.

i've stopped watching him pitch, mostly; he has me as baffled as most of the hitters he faces. like them, i take mighty swings at mulder's junk, which is just sitting there as if on a tee; then i go back to the bench wondering how i missed. anyway, enough of that; from now on i think i'll just look at the guy's line after the game. better not to know (caution: mixed-metaphor impending) how he's manufacturing this sausage; just enjoy the taste . . . . .

and hope the shit doesn't kill you down the road.

the cards turned another two DPs behind mulder last night, one of them on an incredibly brilliant, heads-up defensive play by so taguchi, who pretended not to know how many outs there were in the bottom of the 3d and thus duped a baserunner into trying to score from 2d on a sac fly. he was out by a mile; way to go, gooch!

the cardinals are now on pace to turn 206 double plays, which would be the highest total by any major-league team in the last 15 years, and surely one of the highest totals of all time. (if anybody knows where i can find a list of the highest single-season team dp totals, please post a link.) only two teams have topped 200 dp since 1990 -- the 1997 rockies and 2001 kc royals. but the cardinals' feat would be far more impressive, because they have so many fewer double-play opportunities than either of the other 200-dp clubs. both the rockies and the royals had bad pitching staffs that allowed a lot of baserunners, whereas the 2005 cards have an obp-against of just .317, 2d-best in the national league. which makes stl's dp ability that much more freakishly good.

Update [2005-8-23 11:43:3 by lboros]: ryan of the diaspora reports that the record for double plays in a season is 215, held by the 1966 pittsburgh pirates. our boys seemingly would have an outside shot at that . . . .

how much are all those dps worth? i'm going to take a quick stab at quantifying it. there's a lot of math involved, so i'm putting the rest of the post below the fold as a courtesy to the numerically averse. read on, brave ones . . . . .

Star-divide

through sunday's games, national league teams had turned 1919 double plays. the cards had turned 157 of those. subtract them out, divide up the remainder, and we get a per-team average of 117 dp for the other 15 nl teams. so the cards are 40 dp above average.

also through sunday, nl teams had allowed 25,052 baserunners (hits plus walks plus hbp). subtract out stl's 1455 baserunners, avg out the remainder: the other 15 nl teams have yielded an avg of 1573 baserunners. so the avg nl team in 2005 has turned 117 double plays per 1573 baserunners, a rate of .074. that is, nl teams erase 7.4 percent of all baserunners on double plays.

the cardinals have 157 dp per 1455 baserunners, a rate of .108. they are erasing 10.8 percent of their baserunners on dp. that comes out to 49 double plays above average -- that is, if the cards turned double plays at the league rate (7.4 percent of baserunners), they would only have 108 double plays.

so the cards are between 40 and 50 double plays better than average. next question: what's a double play worth?

that's a difficult one, because some double plays are worth more than others. a double play with one out and the bases loaded kills a potentially game-changing rally; a double play with one out and a man on first probably doesn't make a big difference. the best way i know of to quantify this is via tangotiger's expected run matrix, which tells us the run-scoring potential of various base-out states. to use the examples above: with the bases loaded and one out, the run expectancy -- the runs we would expect to score from that point through the end of the inning -- is 1.65. with a man on first and one out, the run-scoring potential is more than a run lower, 0.57.

let's keep going with that first example. with the bases loaded and one out, a double play ends the inning and erases all of the run-scoring potential -- 1.65 runs. so we might say that the double play is worth 1.65 runs. but a more conservative assessment would only measure the value of the second out -- ie, the value of a double play over a simple force out. if an "average" team attempts a double play but only gets a force out at second base, then a run scores and the inning continues with men at 1st and 3d and two outs, which situation has a run-scoring potential of 0.54. the cardinals turn the double play and get out of the inning unscathed. so a double play in that situation saves the cards 1.54 runs over an average team -- it keeps a run from crossing the plate and averts the 0.54 runs that would be expected to score if the inning continued. in equation form:

expected runs after forceout (1.54) - expected runs after dp (0) = 1.54 runs saved

is anybody still with me after all that? ok both of you, let's take another example: men on first and second with nobody out. that situation carries a run-scoring potential of 1.57. average team gets a forceout, leaving men at first and third with one out, a run potential of 1.24. cards turn a double play, leaving a man on third with two outs, a run potential of 0.39. so:

expected runs after forceout (1.24) - expected runs after dp (0.39) = 0.85 runs saved

another: man on 1st, nobody out; expected runs are 0.95. with a forceout, the expected runs drop to 0.57; with a double play they drop to 0.12.

expected runs after forceout (0.57) - expected runs after dp (0.12) = 0.45 runs saved

the reality is surely far more complex than the either/or i am postulating here. in some cases, the cards are getting double plays on balls that might be a base hit for the "average" team. in other cases, the cards -- whose pitchers have an extreme ground-ball orientation -- are inducing ground balls where an "average" team might get a strikeout or popup or line drive. better minds might be able to account for all those things, but i can't. for that matter, a more diligent blogger would go back through all the box scores and tally up the run expectancy for all 157 of the cardinals' double plays this year. i ain't a-gonna do that either. i'm just going to slap a generic value of 0.6 runs on every double play and call it good. if someone can show me why that's a terrible value, i'll adjust accordingly; otherwise just go with it. (that phrase again . . . . )

based on my quasi-wild-ass assumption, the cardinals have saved between 24 and 30 runs this year on double plays. that's three, maybe four wins -- a hell of a significant number, insofar as the cards are only 16 wins above average (ie, 16 wins better than a .500 team). and my estimate is based on some pretty conservative assumptions; the actual value of all those double plays might be five wins, or even (dare i?) six.

not bad for a team with a below-average defensive shortstop and a second-string third-baseman. credit the cardinal pitching staff and its incredible 1.7 groundout/flyout ratio. credit mark grudzielanek's quick release and strong, accurate arm in the pivot.

this kind of puts grudk's staph infection in a more urgent light now, doesn't it? get well soon mark.

0 recs  |  Comment 14 comments

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215
215 DPs by the 1966 Pirates. Got it in the Game Notes from last night.

by VanRam on Aug 23, 2005 9:18 AM EDT reply actions   0 recs

thank you
ryan --- much appreciated.

by lboros on Aug 23, 2005 10:46 AM EDT up reply actions   0 recs

lil' question on the stats
First of all, great article.  I'm actually surprised that people at BP or some other stathead thinktank haven't tackled this issue earlier; it would seem to be right up their alley.  In any case, excellent job.

I have a silly little question that no doubt reflects my ignorance of basic statistical principles.  At the outset of your analysis, you calculate how far above league average the Cards' defense is at turning the DP.  What surprised me is that you exclude the Cardinals from that league average figure. My question is--why subtract the Cardinals' totals from the league totals of DPs turned and baserunners allowed and then divide the remainder?  Doesn't that (slightly) skew the results?  I mean, we're part of the league, and our contribution to the league totals should factor in whatever the league average is, right?  In other words, shouldn't whatever the league average for DPs turned is include us?  

Thinking back to progress reports in school, you'd see your test score, and then the class average test score next to it.  That way you could compare your score to the class average.  But the class average is the same for everybody, right?  The way you do it, depending on what team is under analysis, the "league average" in DPs turned is different for every team.  That seems odd to me.

Anyway, leaving us in the figgerin' only knocks us down to 37 DPs above average, for example, and obviously this has little to no bearing on the insightful conclusions that follow.  I'm just curious as to why the first bit is done that way, for future reference.  Anybody got a good reason?

by Hummingbird on Aug 23, 2005 10:09 AM EDT reply actions   0 recs

glad you liked it
hummingbird. i actually wish BP or somebody would do this kind of analysis; they have better data and better facility with numbers than i do, and they could quantify this more precisely and with a greater degree of certainty than i can.

that said, i'm confident that my rough-out is in the ballpark. as to your question about the averaging, the point is well taken. i separated the cards out from the pack because i wanted them on one side of the equation, and everybody else on the other side; but it was an arbitrary decision, and one could just as legitimately do it the other way. as you note it doesn't significantly change things to roll the cardinals back into the "average."

by lboros on Aug 23, 2005 10:46 AM EDT up reply actions   0 recs

Thanks for the clear-up
and keep up the good work--with Redbird Nation dead nearly a year, you're the man of the Cardinal-blog house, and you haven't faltered a step.

by Hummingbird on Aug 23, 2005 12:19 PM EDT up reply actions   0 recs

Did Taguchi really do that on purpose?
Do you really think Taguchi was pretending not to know there were only 2 outs? He obviously doesn't make mistakes like that often, but he certainly had me fooled. Wasn't Edmonds screaming at him to throw home? Nice team work, if coordinated.

by rob is back on Aug 23, 2005 1:02 PM EDT reply actions   0 recs

Mulder's vampire routine...
We'll soon have another chance to see if Mulder can finally make the sausage taste good during a daytime start. The Cards are coming here to Washington this weekend for a 3-game set with the Nats; if the rotation continues as usual Mulder will start Saturday's game -- first pitch: 1:20pm.... RFK is an offensive graveyard and the Nats aren't exactly a hitting juggernaut, so this is a good chance for Mulder to get back on track under the sunshine. Let's hope he does, so TLR and Dunc won't have to take these splits into account when figuring out the postseason rotation.

Meanwhile, I'm going to the Friday night game -- first time I've seen the Cards live in years! Very excited... If for no other reason than to see the Cards, I'm glad to have baseball back in D.C.

by DCRedbird on Aug 23, 2005 1:05 PM EDT reply actions   0 recs

post a diary
after the game friday night, dc, and let us know what you saw. i don't believe the cards have ever played in the nation's capital before, so you will be witnessing history --- the franchise's first-ever game in that city.

by lboros on Aug 23, 2005 2:00 PM EDT up reply actions   0 recs

In '99
they played the last two ST games in DC against the Expos, ironically. My brother and I made it up to one of them, which was the first time(and last time for him) that we had ever seen the boys play live. Mac only played for 3 innings, but Drew and Vlad both hit bombs. I remember turning to my brother at one point, saying about Drew, "That kid has superstar written all over him." As the Phil Collins song says , "I missed again..."

by cardsrul on Aug 23, 2005 4:02 PM EDT up reply actions   0 recs

Now that Mulder is aware of his night time era
It should be interesting to see if he's taken steps to fix the problem and pitches better.

by rob is back on Aug 24, 2005 3:37 AM EDT up reply actions   0 recs

Gooch
Rob--

I think Larry was being tongue-in-cheek. Obviously the Goocher was thinking about saki or geisha or something.

by Red in Chicago on Aug 23, 2005 2:07 PM EDT reply actions   0 recs

yeah i was kidding
sorry rob --- but you never know, maybe he has just invented a new "deke" play like the hidden ball trick . . . . . . .

by lboros on Aug 23, 2005 3:43 PM EDT up reply actions   0 recs

ahh....okay
And I thought I'd missed something... ;-)

by rob is back on Aug 24, 2005 3:34 AM EDT up reply actions   0 recs

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