| Package | Description | 
|---|---|
| org.apache.commons.math3.random | Random number and random data generators. | 
| org.apache.commons.math3.stat.descriptive | Generic univariate summary statistic objects. | 
| org.apache.commons.math3.stat.inference | Classes providing hypothesis testing. | 
| Modifier and Type | Method and Description | 
|---|---|
| StatisticalSummary | EmpiricalDistribution. getSampleStats()Returns a  StatisticalSummarydescribing this distribution. | 
| Modifier and Type | Class and Description | 
|---|---|
| class  | AggregateSummaryStatistics
 An aggregator for  SummaryStatisticsfrom several data sets or
 data set partitions. | 
| class  | DescriptiveStatisticsMaintains a dataset of values of a single variable and computes descriptive
 statistics based on stored data. | 
| class  | StatisticalSummaryValuesValue object representing the results of a univariate statistical summary. | 
| class  | SummaryStatistics
 Computes summary statistics for a stream of data values added using the
  addValuemethod. | 
| class  | SynchronizedDescriptiveStatisticsImplementation of
  DescriptiveStatisticsthat
 is safe to use in a multithreaded environment. | 
| class  | SynchronizedSummaryStatisticsImplementation of
  SummaryStatisticsthat
 is safe to use in a multithreaded environment. | 
| Modifier and Type | Method and Description | 
|---|---|
| StatisticalSummary | AggregateSummaryStatistics. getSummary()Return a  StatisticalSummaryValuesinstance reporting current
 aggregate statistics. | 
| StatisticalSummary | SummaryStatistics. getSummary()Return a  StatisticalSummaryValuesinstance reporting current
 statistics. | 
| StatisticalSummary | SynchronizedSummaryStatistics. getSummary()Return a  StatisticalSummaryValuesinstance reporting current
 statistics. | 
| Modifier and Type | Method and Description | 
|---|---|
| static StatisticalSummaryValues | AggregateSummaryStatistics. aggregate(Collection<? extends StatisticalSummary> statistics)Computes aggregate summary statistics. | 
| Modifier and Type | Method and Description | 
|---|---|
| static double | TestUtils. homoscedasticT(StatisticalSummary sampleStats1,
              StatisticalSummary sampleStats2) | 
| double | TTest. homoscedasticT(StatisticalSummary sampleStats1,
              StatisticalSummary sampleStats2)Computes a 2-sample t statistic, comparing the means of the datasets
 described by two  StatisticalSummaryinstances, under the
 assumption of equal subpopulation variances. | 
| static double | TestUtils. homoscedasticTTest(StatisticalSummary sampleStats1,
                  StatisticalSummary sampleStats2) | 
| double | TTest. homoscedasticTTest(StatisticalSummary sampleStats1,
                  StatisticalSummary sampleStats2)Returns the observed significance level, or
 p-value, associated with a two-sample, two-tailed t-test
 comparing the means of the datasets described by two StatisticalSummary
 instances, under the hypothesis of equal subpopulation variances. | 
| static double | TestUtils. t(double mu,
 StatisticalSummary sampleStats) | 
| double | TTest. t(double mu,
 StatisticalSummary sampleStats) | 
| static double | TestUtils. t(StatisticalSummary sampleStats1,
 StatisticalSummary sampleStats2) | 
| double | TTest. t(StatisticalSummary sampleStats1,
 StatisticalSummary sampleStats2)Computes a 2-sample t statistic , comparing the means of the datasets
 described by two  StatisticalSummaryinstances, without the
 assumption of equal subpopulation variances. | 
| static double | TestUtils. tTest(double mu,
     StatisticalSummary sampleStats) | 
| double | TTest. tTest(double mu,
     StatisticalSummary sampleStats)Returns the observed significance level, or
 p-value, associated with a one-sample, two-tailed t-test
 comparing the mean of the dataset described by  sampleStatswith the constantmu. | 
| static boolean | TestUtils. tTest(double mu,
     StatisticalSummary sampleStats,
     double alpha) | 
| boolean | TTest. tTest(double mu,
     StatisticalSummary sampleStats,
     double alpha)Performs a 
 two-sided t-test evaluating the null hypothesis that the mean of the
 population from which the dataset described by  statsis
 drawn equalsmu. | 
| static double | TestUtils. tTest(StatisticalSummary sampleStats1,
     StatisticalSummary sampleStats2) | 
| double | TTest. tTest(StatisticalSummary sampleStats1,
     StatisticalSummary sampleStats2)Returns the observed significance level, or
 p-value, associated with a two-sample, two-tailed t-test
 comparing the means of the datasets described by two StatisticalSummary
 instances. | 
| static boolean | TestUtils. tTest(StatisticalSummary sampleStats1,
     StatisticalSummary sampleStats2,
     double alpha) | 
| boolean | TTest. tTest(StatisticalSummary sampleStats1,
     StatisticalSummary sampleStats2,
     double alpha)Performs a
 
 two-sided t-test evaluating the null hypothesis that
  sampleStats1andsampleStats2describe
 datasets drawn from populations with the same mean, with significance
 levelalpha. | 
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