One of the classic debates I've seen in HBD is the schedule- balanced? Unbalanced? Is it broken? Do tankers give some teams an advantage? So here comes my study.
Assumptions: "Tankers" win at a .250 clip (lower than that and they are against fair play), average teams win at a .500 clip, and "Great" teams win at a .618 clip (100.11600000 wins). 162 game schedule is the only option, and 6 teams per league must still make the playoffs. Also assumed that all teams perform equally all season long. 32 teams must remain in two 16 team leagues.
::edit- put in exact numbers since rounding and adding errors are unacceptable on this board. Sorry that I didn't take out the repeating decimals to 30 digits.::
Current model:
10 games vs. each division foe (30 total)- 18.518518518% of games (518 is repeating)
10 games vs. each league foe (120 total)- 74.074074074% of games (074 is repeating)
3 games vs. 4 teams in (12 total)- 7.407407407407% of games (407 is repeating)
Maximum effect of tankers on wildcard- 4.416 wins (Team A plays interleague games against division of all tankers- wins 9. Team B plays interleague games against all great teams- wins 4.584)
"MikeT" model:
14 games vs. each division foe (42 total)- 25.925925925% of games (925 is repeating)
10 games vs. each league foe (120 total)- 74.074074074% of games (074 is repeating)
0 games vs. other league (0 total, 0 is repeating)
Maximum effect of tankers on wildcard- 4.416 wins (Team A plays 12 more division games against 3 tankers- wins 9. Team B plays 12 more division games against 3 great teams- wins 4.584)
"grivfmd1" model:
18 games vs. each division foe (54 total)- 33.33333333333% of games (3 is repeating)
8 games vs. each league foe (96 total)- 59.259259259% of games (259 is repeating)
3 games vs. 4 teams in (12 total)- 7.407407407% of games (407 is repeating)
Maximum effect of tankers on wildcard- 15.456 wins (Team A plays 30 more division games against 3 tankers, and 12 intraleague games against 4 tankers- wins 31.50000. Team B plays 30 more division games against 3 great teams and 12 intraleague games against 4 great teams- wins 16.044)
"Asher413" model:
14 games vs. each division foe (42 total)- 25.925925925% of games (925 is repeating)
8 games vs. each league foe (96 total)- 59.259259259% of games (259 is repeating)
3 games vs. 8 teams in (24 total)- 14.814814814% of games (814 is repeating)
Maximum effect of tankers on wildcard- 15.456 wins (Team A plays 18 more division games against 3 tankers, and 24 intraleague games against 4 tankers- wins 31.5. Team B plays 18 more division games against 3 great teams and 24 intraleague games against 4 great teams- wins 16.044)
"Down with Tankers impacting games" model:
10 games vs. each division foe (30 total)- 18.518518518518% of games (518 is repeating)
11 games vs. each league foe (132 total)- 81.481481481481% of games (481 is repeating)
0 interleague games
Maximum effect of tankers on wildcard- 1.472 wins (Team A plays 4 games against a tanker division (which Team B is in) in league- wins 3. Team B plays 4 games against a great division which Team A is a part of- wins 1.528)
Conclusions to draw toward any schedule argument- with the current division and playoff structure, no schedule is perfectly balanced. Extreme seasons could possibly have the 13th placed team in a league in the playoffs with the current structure, and the 4th placed team could miss the playoffs. Changing to a schedule that leans more toward divisional play could further skew the equality of the wild card race.
Now, if we changed the division structure, but kept the same number of teams and leagues, two main options exist- 2 leagues, 2 divisions each, 8 teams per division or 2 leagues, no divisions, 16 teams per league.
"Eliminate Divisions" models: (2 leagues, 16 teams per league with no divisions)
Following the current model or Down with tanker models above, you could have "tanker" impacts of 1.5 wins or 4.4 wins.
2 Divisions per league models:
"Current" model- same tanker impact (4.416), but the worst team into the playoffs could be 9th (or 10th if you give the top two teams in the division playoff berths).
"Division Heavy" model- 12 games against other 7 divisional teams (84 games, 51.851851851%, 851 is repeating), 9 games against 8 league foes (72 games, 44.44444%, 4 is repeating), 3 games against 2 interleague foes (6 games, 3.703703703%, 703 is repeating)- 9.936 win impact. This model would create an uneven number of home vs. away games with some teams. Any shifts into more divisional games or interleague would further the impact of a tanker team.
I would like to see what people think, and see if the majority really feels that the current model is the best model for HBD's schedules. Outside of touching the sacred cows (32 teams, 162 games, 2 leagues, wild card teams), there is no schedule that I have thought of that eliminates the SOS from impacting a wild card race. Some allow poor divisions to have greater impacts on the ranking of the teams in the wild card slots than others.
2/27/2011 10:37 PM (edited)