MM: The Mallows model for aggregating multiple ranking lists
Description
It uses the Mallows model to aggregate multiple full/partial ranking lists.
Usage
MM(rankings, initial.method, it.max)
Arguments
rankings
A n by m matrix, with each column representing a ranking list, which ranks the items from the most preferred to the least preferred. For missing items, use 0 to denote them.
initial.method
the method for initializing the value of pi0, with four options: mean, median, geometric and random (the mean of three randomly sampled ranking lists). By default, initial.method="mean".
it.max
the maximum number of iterations. By default, it.max=20.
Value
op.phi
optimal value of phi
op.pi0
optimal value of pi0, ranking the items from the most preferred to the least preferred
max.logL
maximum value of log-likelihood
References
Mallows, C. L. (1957). Non-null ranking models, Biometrika 44(1/2): 114-130.