Description Usage Arguments Details Value Author(s) References See Also Examples
View source: R/PLMIXfunctions.R
Perform MAP estimation via EM algorithm with multiple starting values for a Bayesian mixture of Plackett-Luce models fitted to partial orderings.
1 2 3 4 5 | mapPLMIX_multistart(pi_inv, K, G, n_start = 1, init = rep(list(list(p =
NULL, omega = NULL)), times = n_start), n_iter = 200,
hyper = list(shape0 = matrix(1, nrow = G, ncol = K), rate0 = rep(0, G),
alpha0 = rep(1, G)), eps = 10^(-6), plot_objective = FALSE,
init_index = 1:n_start, parallel = FALSE, centered_start = FALSE)
|
pi_inv |
An object of class |
K |
Number of possible items. |
G |
Number of mixture components. |
n_start |
Number of starting values. |
init |
List of |
n_iter |
Maximum number of EM iterations. |
hyper |
List of named objects with hyperparameter values for the conjugate prior specification: |
eps |
Tolerance value for the convergence criterion. |
plot_objective |
Logical: whether the objective function (that is the kernel of the log-posterior distribution) should be plotted. Default is |
init_index |
Numeric vector indicating the positions of the starting values in the |
parallel |
Logical: whether parallelization should be used. Default is |
centered_start |
Logical: whether a random start whose support parameters and weights should be centered around the observed relative frequency that each item has been ranked top. Default is |
Under noninformative (flat) prior setting, the EM algorithm for MAP estimation corresponds to the EMM algorithm described by Gormley and Murphy (2006) to perform frequentist inference. In this case the MAP solution coincides with the MLE. The best model in terms of maximized posterior distribution is returned.
A list of S3 class mpPLMIX
with named elements:
|
List of named objects describing the best model in terms of maximized posterior distribution. See output values of the single-run |
|
Numeric vector of the maximized objective function values for each initialization. |
|
Binary vector with |
|
The matched call. |
Cristina Mollica and Luca Tardella
Mollica, C. and Tardella, L. (2017). Bayesian Plackett-Luce mixture models for partially ranked data. Psychometrika, 82(2), pages 442–458, ISSN: 0033-3123, DOI: 10.1007/s11336-016-9530-0.
Gormley, I. C. and Murphy, T. B. (2006). Analysis of Irish third-level college applications data. Journal of the Royal Statistical Society: Series A, 169(2), pages 361–379, ISSN: 0964-1998, DOI: 10.1111/j.1467-985X.2006.00412.x.
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