Paired Comparisons (Joe, 1990)
| { A1, A2 ,..., } = Players | pij = Prob. that Ai beats Aj: |
| nij = total games Pi vs. Pj | wij = games won by Pi |
FIND: |
|
Model: 
Sigmoidal: 
|
|
Maximize: 
| |
: a "strength" (ranking) for all players.
| { A1, A2 ,..., } = Players | pij = Prob. that Ai beats Aj: |
| nij = total games Pi vs. Pj | wij = games won by Pi |
FIND: |
|
|
Model:
Sigmoidal:
|
|
|
Maximize:
| |