This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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Hypothesis Tests
Hypothesis tests give quantitative answers to common questions, such as how good the fit is between data and a particular distribution, whether these distributions have the same mean or median, and whether these datasets have the same variability. Mathematica provides high-level functions for these types of questions and will automatically select the tests applicable for the data and distributions given. The high-level functions typically run more than one test and are able to produce full reports, but there are also specific named hypothesis tests such as the Kolmogorov-Smirnov goodness-of-fit test, or paired -test. These give more direct control over settings and performance for specific tests.
Goodness-of-Fit Tests
DistributionFitTest test for goodness-of-fit to a distribution of data
Location Tests
LocationTest test means or mean differences of one or two datasets
LocationEquivalenceTest compare means or medians of two or more datasets
MannWhitneyTest  ▪ PairedTTest  ▪ PairedZTest  ▪ SignTest  ▪ SignedRankTest  ▪ TTest  ▪ ZTest
Variance Tests
VarianceTest test variances or variance ratios of one or two datasets
VarianceEquivalenceTest compare variances of two or more datasets
Options and Objects for Hypothesis Tests
HypothesisTestData hypothesis test data generated by hypothesis tests
SignificanceLevel significance level to use for reporting test conclusions
AlternativeHypothesis alternative hypothesis for location and variance tests
VerifyTestAssumptions whether to verify data assumptions through diagnostic tests