batchSE: Batch Standard Error

batchSER Documentation

Batch Standard Error


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.


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.


A vector giving the standard error for each column of x.


Russell Almond


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.

See Also, effectiveSize, summary.mcmc

coda documentation built on May 29, 2024, 11:23 a.m.

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