Plots the posterior marginal density of a phi parameter. Users may specify whether they want a histogram, a density, or both. For convenience, the \(F_{k}\) statistic is presented in place of the phi parameter, as this is the statistic users care about. \(F_{k}\) is defined as \(\frac{1}{1+phi_{k}}\).
plot_phi_marginal(phi, percent.burnin = 0, thinning = 1, population.names = NULL,
pop.index = NULL,histogram = TRUE, density = TRUE)
The vector of phi values estimated for a single population from an MCMC run.
The percent of the sampled MCMC generations to be discarded as "burn-in." If the
MCMC is run for 1,000,000 generations, and sampled every 1,000 generations, there
will be 1,000 sampled generations. A percent.burnin of 20 will discard
the first 200 sampled parameter values from that sample.
The multiple by which the sampled MCMC generations are thinned. A thinning of
5 will sample every 5th MCMC generation.
The name of the population/individual for which the marginal density of the phi
parameter is being plotted. This will be used to title the marginal plot. If
population.names is not provided (i.e. population.names = NULL), a
population index number will be used to title the plot.
A population index number generated to title a marginal plot if no
population.names is specified.
A switch that controls whether or not the plot contains a histogram of the values
estimated for the parameter over the course of the MCMC. Default is TRUE.
A switch that controls whether or not the plot shows the density of the values
estimated for the parameter over the course of the MCMC. Default is TRUE.
Gideon Bradburd
The marginal plot is another basic visual tool for MCMC diagnosis. Users should look for marginal plots that are "smooth as eggs" (indicating that the chain has been run long enough) and unimodal (indicating a single peak in the likelihood surface).