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PIAA District IV

Power Rankings

 

Usage: To be used in all self-contained District IV Team Championship sports. To be used in sub-regionals where agreements with other districts have been reached.

The power rating will be a combination of the team's weighted winning percentage (TWWP) and their opponents' weighted winning percentage (OWWP). The power rating would be the sum of 59 percent of the team's TWWP and 41 percent of the team's OWWP.

STEP 1: CALCULATING TEAM WEIGHTED WINNING PERCENTAGE (TWWP)

The TWWP is based on the results of all games that a team plays. It values wins and losses by the classification of the opponent. The TWWP is calculated by dividing the WEIGHTED WIN VALUE by the sum of the WEIGHTED WIN VALUE and WEIGHTED LOSS VALUE.

Six (6) Class System (Baseball, Basketball, Football, Softbal)

Class Win Loss Tie
6A 1.25 0.75 0.625/0.375
5A 1.15 0.85 0.575/0.425
4A 1.05 0.95 0.525/0.475
3A 0.95 1.05 0.475/0.525
2A 0.85 1.15 0.425/0.575
1A 0.75 1.25 0.375/0.625

Four (4) Class System (Soccer, Volleyball)

Class Win Loss Tie
4A 1.15 0.85 0.575/0.425
3A 1.05 0.95 0.525/0.475
2A 0.95 1.05 0.475/0.525
1A 0.85 1.15 0.425/0.575

Three (3) Class System (Field Hockey)

Class Win Loss Tie
3A 1.1 0.9 0.55/0.45
2A 1.0 1.0 0.5/0.5
1A 0.0 1.1 0.45/0.55

Six (6) Class System (Football) Example

Game Class Result WW WL
1 6A W 1.25  
2 3A W 0.95  
3 2A L   1.15
4 5A L   0.85
5 3A W 0.95  
6 2A W 0.85  
7 4A L   1.05
8 A L   1.25
9 A L   1.25
10 3A W 0.95  
TOTALS   5-5 4.95 5.55

TWWP = 4.95/(4.95 + 5.55) = 0.471428

Four (4) Class System Example

Game Class Result WW WL
1 1A (Team 1) W 0.85  
2 3A (Team 2) W 1.05  
3 2A (Team 3) L   1.05
4 3A (Team 4) T 0.525 0.475
5 3A (Team 2) W 1.05  
6 2A (Team 7) W 0.95  
7 1A (Team 1) L   1.15
8 2A (Team 5) W 0.95  
9 2A (Team 8) L   1.05
10 3A (Team 2) W 1.05  
11 1A (Team 9) W 0.85  
12 1A (Team 6) T 0.425 0.575
13 2A (Team 3) L   1.05
14 3A (Team 4) L   0.95
15 1A (Team 6) W 0.85  
16 1A (Team 7) W 0.85  
TOTALS   9-5-2 9.4 6.30

TWWP = 9.4/(9.4 + 6.30) = 0.59872611

All PIAA opponents and all non-PIAA opponents who are part of a State Association will count in calculating a team's TWWP and OWWP using the classification system above. Teams that are non-PIAA and not part of a State Association will NOT count in calculating the Power Rating.

STEP 2: CALCULATING OPPONENTS WEIGHTED WINNING PERCENTAGE (OWWP)

The OWWP is calculated by totaling the weighted win values and weighted loss values of all of the team's opponents; then, dividing the total of the weighted win values by the sum of the totals of the weighted win values and the weighted loss values. If you play your opponent more than once, their totals will be included for each time they are played.

Six (6) Class System (Football) Example

Game Class Result WW WL
1 6A W 4.2 6.4
2 3A W 6.3 2.6
3 2A L 8.6 1.1
4 5A L 7.4 1.8
5 3A W 1.1 8.7
6 2A W 4.5 5.1
7 4A L 10.4 1.6
8 1A L 6.3 2.4
9 1A L 6.3 2.4
10 3A W 6.4 3.4
TOTALS   5-5 61.5 35.6

OWWP = 61.5/(61.5 + 35.6) = 0.633367

Four (4) Class System Example

Game Class Result WW WL
1 1A (Team 1) W 7.8 9.4
2 3A (Team 2) W 2.2 13.4
3 2A (Team 3) L 13.2 1.6
4 3A (Team 4) T 6.6 12.2
5 3A (Team 2) W 2.2 13.4
6 2A (Team 7) W 8.8 5.4
7 1A (Team 1) L 7.8 9.6
8 2A (Team 5) W 9.6 5.6
9 2A (Team 8) L 13.2 1.5
10 3A (Team 2) W 2.2 13.4
11 1A (Team 9) W 14.4 0.8
12 1A (Team 6) T 7.4 9.2
13 2A (Team 3) L 13.2 1.6
14 3A (Team 4) L 6.6 12.2
15 1A (Team 7) W 8.2 5.4
16 1A (Team 8) W 4.4 10.6
TOTALS   9-5-2 127.8 125.4

OWWP = 127.8/(127.8 + 125.4) = 0.5047

CALCULATING POWER RATING

The Power Rating is the sum of 59% of the TWWP and 41% of the OWWP. This number will not be over 1.000.

Six (6) Class Example

TWWP: 0.471428 * 0.59 = 0.278142
OWWP: 0.633367 * 0.41 = 0.259680
0.278142 + 0.259680
POWER RATING = 0.37822

Four (4) Class Example

TWWP: 0.598726 * 0.59 = 0.353248
OWWP: 0.504739 * 0.41 = 0.206942
0.353248 + 0.1206942
POWER RATING = 0.560190

TIE BREAKING CRITERIA

  1. Head to Head
  2. Best TWWP
  3. Unweighted Winning Percentage against common Regular Season
  4. Unweighted Winning Percentage against Regular Season
  5. Unweighted Winning Percentage of Common Regular Season
  6. Unweighted Winning Percentages of Regular Season Opponents
  7. Lowest Points/Goals Yielded Average against Common Opponents
  8. Lowest Points/Goals Yielded Average
  9. Coin Toss
 
 
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