A visual diagnostic of EM convergence from multiple overdispersed
starting values for an output from
disperse(output, m = 5, dims = 1, p2s = 0, frontend = FALSE, …)
output from the function
the number of EM chains to run from overdispersed starting values.
the number of principle components of the parameters to display and assess convergence on (up to 2).
an integer that controls printing to screen. 0 (default) indicates no printing, 1 indicates normal screen output and 2 indicates diagnostic output.
a logical value used internally for the Amelia GUI.
further graphical parameters for the plot.
This function tracks the convergence of
m EM chains which start
from various overdispersed starting values. This plot should give some
indication of the sensitivity of the EM algorithm to the choice of
starting values in the imputation model in
output. If all of
the lines converge to the same point, then we can be confident that
starting values are not affecting the EM algorithm.
As the parameter space of the imputation model is of a
high-dimension, this plot tracks how the first (and second if
dims is 2) principle component(s) change over the iterations of
the EM algorithm. Thus, the plot is a lower dimensional summary of the
convergence and is subject to all the drawbacks inherent in said
dims==1, the function plots a horizontal line at the
position where the first EM chain converges. Thus, we are checking
that the other chains converge close to that horizontal line. For
dims==2, the function draws a convex hull around the point of
convergence for the first EM chain. The hull is scaled to be within
the tolerance of the EM algorithm. Thus, we should check that the
other chains end up in this hull.