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Some methods of analyzing experimental data for complex targets and reverberation are outlined, including a heuristic discussion of what constitutes an ensemble and how to obtain one experimentally. The problem of then determining whether or not the actual data form a valid ensemble is considered. Tests for the stability, or stationarity, of the underlying random mechanism are briefly described (test of independence and homogeneity); tests of whether or not a particular data set belongs to some postulated probability distribution are provided (goodness-of-fit), including a powerful test for establishing the normality or non-normality of the sample. Among the tests considered are the X squared, the Kolmogorov-Smirnov, the runs test, and the W-test for normality. These tests are carried out for some hypothetical reverberation data to illustrate the individual tests, at particular ranges, which can include the domain of a target reverberation. Some second-order properties of various classes of second moments of these data are also discussed, and an approach to relating simulated data to those from a real environment is briefly sketched. This memorandum is intended as a preliminary guide to the statistical treatment of data that are obtained in target and background measurements.