| Name | Description | Type | Package | Framework |
| AlternativeHypothesis | enum AlternativeHypothesisRepresents an alternative hypothesis for a hypothesis test. | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| BinomialTest | Exact test for the statistical significance of deviations from a theoretically expected distribution of observations into two categories. | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| ChiSquareTest | This implementation handles both known and unknown distributions. | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| GTest | This is known in statistical genetics as the McDonald-Kreitman test. | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| KolmogorovSmirnovTest | Kolmogorov-Smirnov (K-S) test for equality of continuous distributions. | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| MannWhitneyUTest | An implementation of the Mann-Whitney U test (also called Wilcoxon rank-sum test). | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| OneWayAnova | Tests for differences between two or more categories of univariate data (for example, the body mass index of accountants, lawyers, doctors and | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| TestUtils | A collection of static methods to create inference test instances or to perform inference tests. | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| TTest | An implementation for Student's t-tests. | Class | org.apache.commons.math3.stat.inference | Apache Commons |
| WilcoxonSignedRankTest | An implementation of the Wilcoxon signed-rank test. | Class | org.apache.commons.math3.stat.inference | Apache Commons |