Effective standard deviation of population to produce the correct standard errors.
batchSE(x, batchSize=100)An mcmc or mcmc.list object.
Number of observations to include in each batch.
A vector giving the standard error for each column of x.
Because of the autocorrelation, the usual method of taking
var(x)/n overstates the precision of the estimate. This method
works around the problem by looking at the means of batches of the
parameter. If the batch size is large enough, the batch means should
be approximately uncorrelated and the normal formula for computing the
standard error should work.
The batch standard error procedure is usually thought to be not as
accurate as the time series methods used in summary and
effectiveSize. It is included here for completeness.
Roberts, GO (1996) Markov chain concepts related to sampling algorithms, in Gilks, WR, Richardson, S and Spiegelhalter, DJ, Markov Chain Monte Carlo in Practice, Chapman and Hall, 45-58.