Once again, it's time to apply the Pythagorean
Theorem and see who was lucky and who was good
over the first half of the '03 season.
Remember, in baseball, the Pythagorean Theorem --
initially developed by
Bill James -- is a method of determining what a team's
record "should" be,
based on how many runs they score and how many runs
they allow. Some
teams will win more games than their run differential
would suggest because
of hustle, clutch performers, managerial genius or
just dumb luck.
The simplest way of determining a team's Pythagorean
Winning Percentage is by adding the runs for, squared,
and then dividing it by runs against, squared, plus
runs for, squared: RF^2/(RA^2+RF^2).
| Expected | Actual | |
2001 | RF | RA | Diff | PCT | W | L | PCT | W | L | +/- |
ARK | 476 | 350 | +165 | 0.649 | 55 | 30 | 0.635 | 54 | 31 | -1 |
NWK | 507 | 378 | +129 | 0.643 | 53 | 29 | 0.671 | 55 | 27 | +2 |
STP | 435 | 395 | +
40 | 0.548 | 47 | 38 | 0.588 | 50 | 35 | +3 |
PHI | 318 | 310 |
+8 | 0.513 | 41 | 39 | 0.475 | 38 | 42 | -3 |
VAN | 357 | 351 |
+6 | 0.508 | 42 | 40 | 0.524 | 43 | 39 | +1 |
HON | 406 | 400 |
+6 | 0.507 | 43 | 41 | 0.524 | 44 | 40 | +1 |
HIL | 356 | 355 |
+1 | 0.501 | 40 | 39 | 0.468 | 37 | 42 | -3 |
BRK | 373 | 395 |
-22 | 0.471 | 38 | 42 | 0.513 | 41 | 39 | +3 |
HBK | 397 | 433 |
-36 | 0.457 | 38 | 45 | 0.470 | 39 | 44 | +1 |
CAR | 307 | 341 |
-34 | 0.448 | 36 | 44 | 0.475 | 38 | 42 | +2 |
COL | 326 | 368 |
-42 | 0.440 | 37 | 46 | 0.422 | 35 | 48 | -2 |
HAR | 335 | 378 |
-43 | 0.440 | 37 | 47 | 0.417 | 35 | 49 | -2 |
PHX | 370 | 417 |
-47 | 0.440 | 35 | 45 | 0.450 | 36 | 44 | +1 |
TIJ | 357 | 449 |
-92 | 0.387 | 31 | 50 | 0.358 | 29 | 52 | -2 |
According to the Pythagorean Theorem, the luckiest
team over the first
half of the season was the Brooklyn Bean
Counters, a team that
can appreciate statistical analysis.
But this time the numbers don't add up for the
Beanies, who are three wins better than they "should"
be.
If a calculator determined the standings, Brooklyn
would flip from a sixth-place team, two games above
.500, to an eighth-
place team, four games under .500 -- the biggest drop
of any team. Another Hanover squad, the Stanhope
Mighty Men,
also have overachieved by three wins, but it wouldn't
matter:
Their adjusted record would make them the
third-best team in baseball, which is how they
finished the first half
anyway.
Pythagoras also tells us that the DMBL's best team,
the Newark
Sugar Bears, aren't as quite good as their gaudy
record. The
numbers say the Bears' have lucked into two extra
wins, which would
drop them from the league's best record back to where
they spent
almost the entire first half, as the No. 2 seed. The
Carolina
Mudcats also are in reality two wins better than
the Pythagorean
suggests, which would drop them from a seventh-place
tie
into ninth. The Vancouver Iron Fist,
Honolulu Sharks,
Hoboken Cutters and Columbia
Rattlesnakes are all one
win ahead of the formula.
The unluckiest teams over the first half should both
be above .500
and right in the thick of the playoff hunt, according
to the formula.
The Philadelphia Endzone Animals, four games
under .500 and
in a tie for seventh place, should have expected three
extra wins
based on their run differential. Those three wins
would have propelled
them into fourth place overall, two games above .500.
An equally big jump would go to the 10th-place
Hillsborough Destroyers,
who also were three wins better than their 37-42
record, according
to the theorem. The numbers say the Destroyers could
just as easily
be one game above .500 and sitting in seventh place, a
half-game
out of a playoff berth. Three other teams that were
two wins worse
than expected -- the Phoenix Dragons,
Harrison Rats and
Tijuana Banditos -- wouldn't have seen a
significant change
in the standings anyway. Finally, the Arkansas
Golden Falcons
are just one win worse than their league-best +165
run-differential
would predict -- but that one win, coupled with
Newark's -2 win
adjustment, would have left them with the best record
in baseball
after the first half, albeit by just a half-game.
Another way to look at a team's performance is how
they do in one-run games. In addition to his
pioneering
work in applying the Pythagorean Theorem to
predicting a team's winning percentage,
Bill James also has
another theory that a team's winning percentage in
one-run games
should roughly correspond to its Pythagorean Theorem
winning percentage --
that is, a team that has a Pythagorean winning
percentage of .600
should win about 60 percent of its one-run games. Of
course,
it doesn't always work that way, because of luck,
strategy,
timely hitting or magic pixie dust.
The Sugar Bears have the best record in one-run games
(14-6, .700),
followed by the Mighty Men (13-7, .650) and Bean
Counters (12-8, .600).
The worst teams are Tijuana (7-14, .333), Hillsborough
(8-13, .381)
and Harrison (10-14, .417). Three of the league's best
teams at the
top of the list; three of the league's worst teams at
the bottom.
But it is a little surprising to see the 11th-place
Rattlesnakes
posting the fourth-best record (.538), or the
2nd-place Golden
Falcons posting the five-worst (.455) in one-run
contests.
So which team has been the luckiest in one-run games?
That would be the Bean Counters, who "should" have
gone
9-11, not 12-8, in one-run games. That three-game
swing would drop them below .500. The Mighty Men and
Rattlesnakes are each about two wins better than
expected
in close contests.
As if they needed a break, the Golden Falcons have
been
the unluckiest team when it comes to winning one-run
games; their 10-12 record should be more like 14-8,
according to the formula. The Destroyers and Endzone
Animals are also "owed" about two wins.
Interestingly enough, both formulas agree that the
Bean Counters and Mighty Men were two of the luckiest
teams over the first half, while the Destroyers
and Endzone Animals were the two unluckiest.
Will the numbers even out over the second half, or
is it a sign that the Mighty Men or the Bean Counters
are a team of destiny this season? One thing is
certain: It will be a great second-half of DMBL
Baseball!
Be sure to tune in next time for Part 2 of the series
as we take a look at run-differentials, home-road
splits and team vs. team match-ups!
Cecil Fielder was the first selection in the DMBL's inaugural draft in 1991. Since then he's enjoyed a solid career as
a member of seven DMBL teams. He is now retired and serves as the color man for the Columbia Rattlesnakes radio team.
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