Approximation of expected ranks
Implements a variety of functions to approximate expected ranks for partial rankings.
approx_rank_expected(P, method = "lpom")
P |
A partial ranking as matrix object calculated with neighborhood_inclusion or positional_dominance. |
method |
String indicating which method to be used. see Details. |
The method parameter can be set to
local partial order model
extension of the local partial order model.
based on a connection with relative rank probabilities.
extension of the previous method.
Which of the above methods performs best depends on the structure and size of the partial
ranking. See vignette("benchmarks",package="netrankr") for more details.
A vector containing approximated expected ranks.
David Schoch
Brüggemann R., Simon, U., and Mey,S, 2005. Estimation of averaged ranks by extended local partial order models. MATCH Commun. Math. Comput. Chem., 54:489-518.
Brüggemann, R. and Carlsen, L., 2011. An improved estimation of averaged ranks of partial orders. MATCH Commun. Math. Comput. Chem., 65(2):383-414.
De Loof, L., De Baets, B., and De Meyer, H., 2011. Approximation of Average Ranks in Posets. MATCH Commun. Math. Comput. Chem., 66:219-229.
P <- matrix(c(0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,rep(0,10)),5,5,byrow=TRUE) #Exact result exact_rank_prob(P)$expected.rank approx_rank_expected(P,method = 'lpom') approx_rank_expected(P,method = 'glpom')
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