We present a family of tests to detect the presence of a transient mea
n in a simulation process. These tests compare variance estimators fro
m different parts of a simulation run, and are based on the methods of
batch means and standardized time series. Our tests can be viewed as
natural generalizations of some previously published work. We also inc
lude a power analysis of the new tests, as well as some illustrative e
xamples. (C) 1994 John Wiley & Sons, Inc.