Maximum likelihood paired comparison ranking by linear programming
通过线性规划求配对比较的最大似然排序
The problem of ranking n objects from ‘best’ to ‘worst’, using the results of a paired comparison experiment, is formulated as a linear programming problem with the logarithm of the likelihood as the objective function. The constraints are determined by the transitivity relationships implied in a ranking. The linear program will determine maximum likelihood rankings for the k fold replicated paired comparison experiment with or without the possibility of ties. The method is…