Yesterday, while walking across the George Fox Quad, I overheard a couple of students talking about one of their courses.
“Yeah, did you see we have to watch a video before every Diffy Q class?”
“No, I didn’t see that. I guess I better read the syllabus.”
“It’s ok. I didn’t watch it before class today and it didn’t matter. I’ll just watch later today.”
There were many interesting things about this conversation:
- How had the student not yet read the syllabus?
- Does not doing the homework before class really matter?
- This Diffy Q class seems to be very innovative, requiring videos instead of reading.
One of the things that may surprise you is that I actually knew what they were talking about when they said, “Diffy Q.” Let me backtrack – I know, as the attentive son of a math professor, that Diffy Q means differential equations. But, I don’t really know what the class is about.
I suppose 1 + 1 = 2 and 2 + 2 = 4 are different equations, but that is surely too easy to be a college math course. Maybe it is some kind of philosophical math class where at any given point 1 + 1 = 2 and also 1 + 1 = 3 – those are certainly different equations, and one of them seems to be truer than other, but maybe in another, different reality, the other could also be true?
In terms of the EFL, there is some differential equations in the stat known as run differential. I was perusing the standings this morning for the MLB, and notices that there are exactly 15 teams with a positive run differential and also 15 teams with a negative run differential. How is that for parity in the MLB. What about the EFL?
It turns out there are exactly 6 teams with a positive run differential and a negative run differential in the EFL. How about that for parity? Run differential is not necessarily an indication of a winning record – for instance, in the MLB there are 2 teams with a negative run differential and also a winning record (Phillies and Brewers) and one team (Reds) with a positive run differential but a losing record.
In the MLB, the largest positive run differential is the Dodgers at +224. In the EFL, the largest is the Rosebuds at 209. In the MLB, the closest team to a 0 difference is the Phillies at -8 and in the EFL the closest is Canberra at -9. For a little while this month the Drive were at -1, which was really exciting (maybe that is an overstatement).
The largest negative run differential in the MLB belongs to the Tigers at -259! We in the EFL come nowhere near that number, our greatest being -141 held by the front-runner to get the #1 EFL pick in the 2020 draft, the Balk.
These might not be the types of equations that the Diffy Q students are studying, but it’s about all the math I am cut out for this morning.
EFL | ||||||
TEAM | WINS | LOSSES | PCT. | GB | RS | RA |
Portland Rosebuds | 87 | 48 | .643 | — | 837.0 | 624.8 |
Flint Hill Tornadoes | 83 | 52 | .612 | 4.1 | 828.6 | 655.1 |
Old Detroit Wolverines | 80 | 55 | .591 | 6.9 | 782.6 | 646.7 |
Pittsburgh Alleghenys | 73 | 59 | .552 | 12.4 | 706.2 | 626.5 |
Peshastin Pears | 71 | 64 | .527 | 15.6 | 707.3 | 670.2 |
Haviland Dragons | 70 | 64 | .522 | 16.3 | 754.5 | 713.6 |
Canberra Kangaroos | 68 | 67 | .503 | 18.9 | 751.0 | 750.9 |
Kaline Drive | 65 | 69 | .485 | 21.3 | 638.5 | 660.8 |
Bellingham Cascades | 60 | 72 | .451 | 25.7 | 622.0 | 689.4 |
Cottage Cheese | 59 | 73 | .447 | 26.3 | 749.9 | 818.4 |
Brookland Outs | 57 | 75 | .434 | 27.9 | 658.1 | 753.1 |
D.C. Balk | 54 | 81 | .398 | 33 | 606.0 | 747.6 |
AL East | ||||
TEAM | WINS | LOSSES | PCT. | GB |
New York Yankees | 88 | 47 | .652 | — |
Flint Hill Tornadoes | 83 | 52 | .612 | 5.3 |
Old Detroit Wolverines | 80 | 55 | .591 | 8.2 |
Tampa Bay Rays | 76 | 58 | .567 | 11.5 |
Boston Red Sox | 72 | 62 | .537 | 15.5 |
Toronto Blue Jays | 54 | 81 | .400 | 34 |
Baltimore Orioles | 44 | 89 | .331 | 43 |
NL East | ||||
TEAM | WINS | LOSSES | PCT. | GB |
Atlanta Braves | 81 | 54 | .600 | — |
Washington Nationals | 74 | 58 | .561 | 5.5 |
Philadelphia Phillies | 69 | 63 | .523 | 10.5 |
New York Mets | 67 | 65 | .508 | 12.5 |
Canberra Kangaroos | 68 | 67 | .503 | 13.1 |
D.C. Balk | 54 | 81 | .398 | 27.2 |
Miami Marlins | 47 | 85 | .356 | 32.5 |
AL Central | ||||
TEAM | WINS | LOSSES | PCT. | GB |
Minnesota Twins | 81 | 51 | .614 | — |
Cleveland Indians | 78 | 55 | .586 | 3.5 |
Pittsburgh Alleghenys | 73 | 59 | .552 | 8.1 |
Chicago White Sox | 60 | 72 | .455 | 21 |
Bellingham Cascades | 60 | 72 | .451 | 21.4 |
Kansas City Royals | 47 | 87 | .351 | 35 |
Detroit Tigers | 39 | 91 | .300 | 41 |
NL Central | ||||
TEAM | WINS | LOSSES | PCT. | GB |
St. Louis Cardinals | 73 | 59 | .553 | — |
Chicago Cubs | 71 | 61 | .538 | 2 |
Milwaukee Brewers | 68 | 65 | .511 | 5.5 |
Cincinnati Reds | 63 | 69 | .477 | 10 |
Cottage Cheese | 59 | 73 | .447 | 14.1 |
Brookland Outs | 57 | 75 | .434 | 15.6 |
Pittsburgh Pirates | 56 | 77 | .421 | 17.5 |
AL West | ||||
TEAM | WINS | LOSSES | PCT. | GB |
Houston Astros | 87 | 47 | .649 | — |
Oakland A’s | 76 | 56 | .576 | 10 |
Haviland Dragons | 70 | 64 | .522 | 17 |
Texas Rangers | 65 | 69 | .485 | 22 |
Kaline Drive | 65 | 69 | .485 | 22 |
Los Angeles Angels | 64 | 71 | .474 | 23.5 |
Seattle Mariners | 56 | 78 | .418 | 31 |
NL West | ||||
TEAM | WINS | LOSSES | PCT. | GB |
Los Angeles Dodgers | 88 | 47 | .652 | — |
Portland Rosebuds | 87 | 48 | .643 | 1.2 |
Peshastin Pears | 71 | 64 | .527 | 16.8 |
Arizona Diamondbacks | 67 | 66 | .504 | 20 |
San Francisco Giants | 65 | 67 | .492 | 21.5 |
San Diego Padres | 61 | 71 | .462 | 25.5 |
Colorado Rockies | 59 | 75 | .440 | 28.5 |
Nice write up, and a very nice subject for the day. And a beautiful picture to highlight the topic although I’m sure everyone has noticed that the second and third differential equations are identical. Hmm…identical different(ial) equations!!
I have a couple of comments:
1) “differential” doesn’t mean “different” although I can see (actually for the very first time) why one might think that
2) Unlike MLB teams, EFL teams NEVER underperform or outperform their run differentials. While the commissioner has never (at least since we’ve been in the league) explained this I’m pretty sure that the mysterious spreadsheets use run differentials to DETERMINE our records, filtered through the Jamesian Pythagorean formula. At least that’s what I think.
Look at that! I taught the 40+ year math professor something new today. I guess I can teach an old dog new tricks…
John is right: we use run differentials to compute w/l records. Not the raw size of the gap between runs scored and runs allowed, but the PROPORTION of runs scored to runs allowed. A team that scored 2000 and allowed 1800 runs would not be as good as a team that score 1000 and allowed 850.
There is a teensy wrinkle, however. Because we lock every month’s stats at the end of the month, and then add them together, the season-long run differentials might not exactly match the season record.
Imagine if you have one month where you outscored your opponents 1 – 0 for all ten games that didn’t get snowed out. Your record that month would be 10 – 0. If for the other 152 games you played your opponents even, scoring 750 runs and allowing 750, your predicted record over those 152 games would be 76 – 76. Add in the 10 games from your perfect (but very short) first month, and your season record would be 86 – 76.
But if you outscored your foes 760 – 750 for the season and calculated the entire season’s record based on that, you probably would go 77 – 75. So it is possible to have small mismatches between your season run differential and your EFL record because we calculate each month separately and add them together — and not all months have the same number of games.