Sept. 27, 2004  

Season Report Card: The Fourth Quarter!

Let's take a break from this amazing post-season action to figure out how we got here -- by taking a look back at the season's final 40 games. In earlier editions, we've reviewed the third quarter, the first half and the first quarter; in a later edition, we'll compare the first half to the second half, as well as review the season.

The Fourth Quarter

We isolated the fourth quarter statistics to see how teams performed down the stretch, roughly games 120 through 162 -- and don't forget Game 163 for the two teams that tied for 6th place!

4th Qtr
Overall
Home
Road
Team
W L Pct.
W
L
Pct. W
L Pct.
Carolina
25
15
.625
12
7
.632
13
8
.619
Arkansas
26
17
.605 10 9 .526
16
8 .667
Stanhope
24
17
.585
13 6 .684
11
11
.500
Honolulu
23 17 .575
12 5 .706
11
12
.478
Harrison
23 18
.561
12 10 .545
11
8 .579
Newark
22 18
.550
11 9 .550
11
9 .550
Hoboken
20 19
.513
9 10 .474
11
9 .550
Tijuana
21 21
.500
13 9 .591
8
12 .400
Philly
21 22
.488
11 10 .524
10
12
.455
Vancouver
19 23
.452
9 15
.375
10
8 .556
Phoenix
16
23
.410
6 15 .286
10
8 .556
Westwood
17 25
.405
9
13
.409
8
12 .400
Columbia
14 23
.378
8 11
.421
6
12 .333
Hillsboro
13 26
.333 8 12
.400
5
14 .263


It may not come as a surprise that five of the six best teams down the stretch --  the Carolina Mudcats (25-15), Arkansas Golden Falcons (26-17), Stanhope Mighty Men (24-17), Honolulu Sharks (23-17) and Newark Sugar Bears (22-18) -- all reached the post-season. But why are the Harrison Rats all the way up at No. 5, while the Tijuana Banditos -- who seemingly came out of nowhere to claim a 6th-place tie in the final week of the season -- are all the way down at No. 8? The Rats did have a better fourth quarter, going 23-18 (.561). And they opened the season by going .500 over their first 40 games. So for them to be out of it despite the league's fifth-best record in the fourth quarter, you know they really stank in the middle two! It was indeed a parabola of a season for the Rats -- 43-38 (.531) in quarters 1 and 4, 32-49 (.395) in quarters 2 and 3... The Banditos' 21-21 record over the final quarter was 1½ games worse than the Hoboken Cutters (20-19), and just a half-game better than the Philadelphia Endzone Animals (21-22), but those two teams, like the Rats, were already too far back at the start of the fourth quarter to catch up... The Banditos didn't so much as catch up to the Columbia Rattlesnakes as much the Rattlesnakes fell down to them: The 'Snakes, who ended the third quarter with the league's fifth-best record (65-61), posted the league's second-worst mark in the final quarter of the season, going 14-23 (.378)... The Vancouver Iron Fist were just a half-game behind Tijuana at the third-quarter mark, but went a fifth-worst 19-23 (.452) down the stretch to fall out of contention... The other three teams had fitting ends to their miserable seasons: The Phoenix Dragons (16-23), Westwood Deductions (17-25) and Hillsborough Destroyers (13-26).

The top home team down the stretch were the Sharks, who went 12-5 (.706 HW%) to close out their home schedule. That wasn't just the best home record, but also the best home-road differential (+.228), as they were only able to go 11-12 (.478 RW%) away from the 50th state. The Banditos (.591 HW%, .400 RW%), Mighty Men (.684 HW%, .500 RW%) and Endzone Animals (.524 HW%, .455 RW%) also enjoyed a distinct home-field advantage over the fourth quarter. The Destroyers (.400 HW%, .263 RW%) and Rattlesnakes (.421 HW%, .333 RW%) were merely less inept at home... The worst home teams down the stretch were the Dragons, who went 6-15 (.286 HW%) in Phoenix, but went 10-8 (.556 RW%) on the road, a -.270 home-road differential. Other teams that did distinctly better in other people's buildings were Vancouver (.375 HW%, .556 RW%), Arkansas (.526 HW%, .667 RW%) and Hoboken (.474 HW%, .550 RW%).

The Sugar Bears didn't care where they played; the Crunch With Punch posted identical 11-9 records at home and on the road. Hey, would you want to play in Newark? Other teams that didn't care if their meals were home-cooked or take-out were the Mudcats (.632 HW%, .619 RW%), the Deductions (.409 HW%, .400 RW%) and the Rats (.545 HW%, .579 RW%).

Pythagorean Baseball

We also used the Pythagorean Theorem to see who was lucky and who was good over the fourth quarter. The theorem (runs scored squared divided by runs scored squared plus runs allowed squared) is a pretty good estimate of a team's winning percentage, given a few thousand games. But when you're talking about a smaller sample size -- like 40 games or so -- sometimes the best team doesn't win. Whether it's caused by random chance (a lucky bounce, a blown call, a gust of wind) or "intangibles" (hustle, team chemistry, clutch hitting), the Pythagorean Theorem lets us compare a team's actual record to how many games they "should" have won. Teams that have more actual wins than Pythagorean wins are called overachievers; the unlucky ones that didn't are considered underachievers.

Pythagorean Performance
Expected
Actual
 
Team
RS RA Diff
Pct
W
L
Pct
W
L +/-
Carolina
188
136
+ 52
.656
26
14
.625
25
15
- 1
Newark
232
184
+ 48
.614 25
14
.550 22
18
- 3
Philly
235
211
+ 24
.554 24
19
.488 21
22
- 3
Arkansas
200 184
+ 16
.542 23
20
.605 26
17
+3
Tijuana
240 226
+ 14
.530 22
20
.500 21
21 - 1
Stanhope
211
202
+  9
.522 21
20 .585 24
17
+3
Harrison
227
222
+  5
.511 21 20
.561 23 18 +2
Hoboken
200
200
0  
.500
20 20 .513 20 19
+1
Westwood
200
211
- 11
.473
20
22 .405 17 25
- 3
Honolulu
186
198
- 12
.469
19 21
.575 23 17
+4
Vancouver
228
248
- 20
.458
19 23 .452 19 23
0
Columbia
158
179
- 21
.438
16 21
.378 14 23
- 2
Phoenix
186
228
- 42
.400
16 23
.410 16 23
0
Hillsboro
156
218
- 62
.339
13 26
.333 13 26
0

According to the theorem, the unluckiest teams over the fourth quarter were the Newark Sugar Bears, the Philadelphia Endzone Animals and the Westwood Deductions, who were each 3 wins worse than their run differential predicted. The Animals were consistently unlucky all season long, finishing behind their Pythagorean Win total in each of the season's four quarters; Westwood underachieved in every quarter except the third, while Newark finished better than expected in the first two quarters, and worse than expected in the last two. The other underachievers in the fourth quarter were the Columbia Rattlesnakes, 2 wins behind, followed by the Carolina Mudcats and the Tijuana Banditos, each 1 win worse.

The luckiest team over the fourth quarter was the Honolulu Sharks, who jumped from 6th place to 5th place in the standings after winning 23 out of 40 games down the stretch. However, Pythagoras says their fifth-worst -12 run differential over the final quarter should have only translated into a 19-21 record over that stretch, 4 wins worse than what they actually did.  Interestingly enough, if you take away those four wins from the Sharks, they finish the season at 79-83 -- which would have made it a three-way tie for 6th place! The other fourth-quarter overachievers were the Arkansas Golden Falcons and the Stanhope Mighty Men, each 3 wins worse than projected; the Harrison Rats at +2; and the Hoboken Cutters at +1.

Three teams -- the Hillsborough Destroyers, Phoenix Dragons and Vancouver Iron Fist -- all finished exactly where the formula thought they would.

Two teams reached the playoffs employing polar opposite methods: The Banditos scored the most runs in the fourth quarter (240 RS), while giving up the third-most runs (226 RA), for a fifth-best +5 run differential; the Mudcats gave up the fewest runs (136 RA) but had the fifth-worst offense (188 RS), but it was still enough to post the league's best run differential (+52).

The Endzone Animals (235 RS), Sugar Bears (232 RS), Iron Fist (228 RS) and Rats (227 RS) followed the Banditos to round out the top five in runs scored; at the back of the pack were the Destroyers (156 RS), Rattlesnakes (158 RS), Dragons and Sharks (tied with 186 RS), and then the Mudcats. The leaders in fewest runs allowed, ranking behind those same Mudcats, were the Rattlesnakes (179 RA), Newark and Arkansas (tied at 184 RA), and Honolulu (198 RA); the most runs were given up by Vancouver (248 RA), followed by Phoenix (228 RA), Tijuana (226 RA), Harrison (222 RA) and Hillsborough (218 RA). The leaders in the all-important stat of run differential were Carolina (+52), Newark (+48), Philly (+24), Arkansas (+16) and Tijuana (-14); the worst were Hillsborough (-62), Phoenix (-42), Columbia (-21), Vancouver (-20) and Honolulu (-12).

One Is Enough

Another way to look at a team's true performance is to see 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 Winning Percentage -- a team that has a Pythagorean winning percentage of .600 should win about 60 percent of its one-run games. But, of course, it doesn't always work that way. The difference between a team's expected and actual one-run records could be explained by managerial tactics, a deep bench, a great bullpen... or just dumb luck.

We looked at how many one-run games each team had been in over the first three quarters of the season, then multiplied those games by the team's Pythagorean Winning Percentage to come up with the team's expected performance in one-run games. Then we compared it to their actual performance in those contests. Because a team can't get half a win, we rounded the results to the closest whole number.

1-Run Games Expected
Actual
 
Team W
L Pct.
W
L
Pct. +/-
Arkansas
6

.542
8
2
.800
+2
Honolulu
4
5
.469
7
2
.778
+3
Stanhope
6
6
.522
8
4
.667
+2
Harrison
5
5
.511
6
4
.600
+1
Hoboken
5
4
.500
5
4
.556
0
Vancouver
4
5
.458
5
4
.556
+1
Tijuana
5
5
.530
5
5
.500
0
Phoenix
4
6
.400
5
5
.500
+1
Carolina
8
4
.656
5
7
.417
- 3
Hillsboro
3
5
.339
3
5
.375
0
Philly
8
6
.554
5
9
.357
- 3
Newark
6
3
.614
3
6
.333
- 3
Westwood
6
6
.473
4
8
.333
- 2
Columbia
4
6
.438
3
7
.300
- 1

Either by luck or skill, the Honolulu Sharks again come out on top of the list, coming up with three "extra" wins in one-run games over the final quarter. Other teams enjoying a one-run bonus were the Arkansas Golden Falcons and Stanhope Mighty Men, each two wins better than expected, followed by the Harrison Rats, Phoenix Dragons and Vancouver Iron Fist, all tied at +1.

As usual, the Philadelphia Endzone Animals get screwed again. Pythagoras says they should have gone 8-6 in one-run games; instead, they went 5-9. Tied with Philly at three games under expectations were the Carolina Mudcats and Newark Sugar Bears, followed by the Westwood Deductions (-2) and Columbia Rattlesnakes (-1).

The Hillsborough Destroyers, Hoboken Cutters and Tijuana Banditos performed in line with their Pythagorean Winning Percentage in one-run games.

Fourth Quarter Dividends

Finally, we compared each team's fourth quarter performance to how they performed over the first three quarters, in order to determine which teams picked it up during the stretch, and which teams wilted in the August heat.

Fourth Quarter Performance
Previous Performance
Team
W L W%
RS
RA RD
PW%
W%
Diff
PW%
Diff
Carolina
25
15
.625
188
136
+52
.656
.598
+1
.561 +4
Arkansas
26
17
.605 200 184 +16
.542
.622 +1
.612
-3
Stanhope
24
17
.585
211 202 +9
.522
.587
0
.623
-4
Honolulu
23 17 .575
186 198 -12
.469
.492
+3
.488
-1
Harrison
23 18
.561
227 222 +5
.511
.430 +5
.411
+4
Newark
22 18
.550
232 184 +48
.614
.631 -3
.624
0
Hoboken
20 19
.513
200 200 0
.500
.439 +3
.400
+4
Tijuana
21 21
.500
240 226 +14
.530
.488 +1
.496
+1
Philly
21 22
.488
235 211 +24
.554
.462
+1
.498
+2
Vancouver
19 23
.452
228 248
-20
.458
.483 -1
.493
-1
Phoenix
16
23
.410
186 228 -42
.400
.431 -1
.425
-1
Westwood
17 25
.405
200
211
-11
.473
.417 -1
.427
+2
Columbia
14 23
.378
158 179
-21
.438
.516 -5
.505
-2
Hillsboro
13 26
.333 156 218
-62
.339
.407 -3
.421
-3

The orange columns show the team's record in the season's fourth-quarter; the green columns show the team's runs scored, runs allowed, run differential and Pythagorean Winning Percentage, (runs scored squared, divided by runs scored squared plus runs allowed squared); the red column shows the team's winning percentage prior to the start of the fourth quarter; and the blue column shows the team's Pythagorean Winning Percentage prior to the start of the fourth quarter. The white columns, "Diff," show how much better (+) or worse (-) the team performed over the fourth quarter.

The biggest surprise of the final six weeks of the season were the Harrison Rats, who started the fourth quarter with a 52-69 season record (.430 W%), but played .561 baseball (23-18) in their final 41 games. If they'd played at the same level down the stretch as they had the rest of the year (.430 W%), they'd have gone a mirror-image 18-23 down the stretch. Thus, they were five wins better than they had been, the best improvement of any team in baseball. The Rats were followed by two other "H" teams -- the Hoboken Cutters and Honolulu Sharks, who each improved by three wins during the fourth quarter. Other teams were strong finishes were the Arkansas Golden Falcons, Carolina Mudcats, Philadelphia Endzone Animals and Tijuana Banditos, all one win better than they had been.

The only team that didn't improve or decline over the fourth quarter were the Stanhope Mighty Men, who maintained their .587 winning percentage -- which was a little surprising, actually, considering the team's Pythagorean Winning Percentage dropped off dramatically during the fourth quarter. We'll talk more about that below.

It shouldn't surprise anyone that the Columbia Rattlesnakes choked harder than anybody down the stretch. The Rattlesnakes started the fourth quarter with a fifth-best 65-61 record (.516), but went 14-23 (.378) to close out the season -- the league's second-worst record over the final six weeks. If they'd maintained their .516 W%, they'd have closed out the season going 19-18, which would have resulted in an 84-win season -- good enough for 4th place!  Instead, they were five wins worse than their season-to-date pace, finishing in a sixth-place tie with the tenacious Banditos, who knocked them off in a one-game playoff to deny Columbia, once again, its first-ever post-season appearance... The other slackers were the Hillsborough Destroyers (-3), Newark Sugar Bears (-3), Phoenix Dragons (-1) and Vancouver Iron Fist (-1).

What's Newark doing on that list? Were the Sugar Bears really tailing off in the fourth quarter -- perhaps on "cruise control" en route to their ninth-straight playoff appearance? Some would argue that the Crunch With Punch simply couldn't keep up their league-best pace (.623) over the first three quarters of the season, so some drop-off was expected. But a look at the numbers suggests the Sugar Bears' performance didn't decline at all over the fourth quarter -- they were just unusually unlucky over those final 40 games.

Comparing their overall records to their fourth quarter statistics, we can see that the Sugar Bears' .614 Pythagorean Winning Percentage down the stretch was just about where it had been in the 120 prior games (.624), so it wasn't a decline in production that did the Sugar Bears in. Indeed, they were the only team to post almost the same exact Pythagorean Winning Percentage in the fourth quarter as they had over the previous three quarters. Newark's woeful record in one-run games (3-6) was another sign of their fourth-quarter bad luck.

The aforementioned Mighty Men actually had the biggest drop-off in Pythagorean Winning Percentage over the fourth quarter. The Mighty Men posted a sixth-best .522 PW% over the fourth quarter, a steep decline from their second-best .623 PW% over the first three-quarters -- a difference of about four wins. In other words, it was quite an accomplishment that this team was able to tread water over the fourth quarter! Other big dippers in PW% over the final six weeks were Arkansas and Hillsborough, both three wins worse than their previous performance; Columbia at -2; and Honolulu, Phoenix and Vancouver, all at -1.

The biggest improvement in fourth-quarter PW% is a three-way tie between the Mudcats, Rats and Cutters, all four Pythagorean Wins better than their previous performance. Philadelphia and Westwood each improved by two wins, while Tijuana improved by one.

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. Click Here for past articles.