Random sample from a mixture of Plackett-Luce models
Draw a random sample of complete orderings/rankings from a G-component mixture of Plackett-Luce models.
rPLMIX(n = 1, K, G, p = t(matrix(1/K, nrow = K, ncol = G)), ref_order = t(matrix(1:K, nrow = K, ncol = G)), weights = rep(1/G, G), format_output = "ordering")
n |
Number of observations to be sampled. Default is 1. |
K |
Number of possible items. |
G |
Number of mixture components. |
p |
Numeric GxK matrix of component-specific support parameters. Default is equal support parameters (uniform mixture components). |
ref_order |
Numeric GxK matrix of component-specific reference orders. Default is forward orders (identity permutations) in each row, corresponding to Plackett-Luce mixture components (see 'Details'). |
weights |
Numeric vector of G mixture weights. Default is equal weights. |
format_output |
Character string indicating the format of the returned simulated dataset ( |
Positive values are required for p and weights arguments (normalization is not necessary).
The ref_order argument accommodates for the more general mixture of Extended Plackett-Luce models (EPL), involving the additional reference order parameters (Mollica and Tardella 2014). A permutation of the first K integers can be specified in each row of the ref_order argument to generate a sample from a G-component mixture of EPL. Since the Plackett-Luce model is a special instance of the EPL with the reference order equal to the identity permutation (1,…,K), the default value of the ref_order argument is forward orders.
If G=1, a numeric NxK matrix of simulated complete sequences. If G>1, a list of two named objects:
|
Numeric vector of N mixture component memberships. |
|
Numeric NxK matrix of simulated complete sequences. |
Cristina Mollica and Luca Tardella
K <- 6 G <- 3 support_par <- matrix(1:(G*K), nrow=G, ncol=K) weights_par <- c(0.50, 0.25, 0.25) set.seed(47201) simulated_data <- rPLMIX(n=5, K=K, G=G, p=support_par, weights=weights_par) simulated_data$comp simulated_data$sim_data
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