org.hipparchus.stat.inference

Class InferenceTestUtils

java.lang.Object

org.hipparchus.stat.inference.InferenceTestUtils

public class InferenceTestUtils
extends Object

A collection of static methods to create inference test instances or to perform inference tests.

Method Summary

Modifier and Type	Method and Description
static double	approximateP(double d, int n, int m)
static double	chiSquare(double[] expected, long[] observed)
static double	chiSquare(long[][] counts)
static double	chiSquareDataSetsComparison(long[] observed1, long[] observed2)
static double	chiSquareTest(double[] expected, long[] observed)
static boolean	chiSquareTest(double[] expected, long[] observed, double alpha)
static double	chiSquareTest(long[][] counts)
static boolean	chiSquareTest(long[][] counts, double alpha)
static double	chiSquareTestDataSetsComparison(long[] observed1, long[] observed2)
static boolean	chiSquareTestDataSetsComparison(long[] observed1, long[] observed2, double alpha)
static double	exactP(double d, int m, int n, boolean strict)
static double	g(double[] expected, long[] observed)
static double	gDataSetsComparison(long[] observed1, long[] observed2)
static double	gTest(double[] expected, long[] observed)
static boolean	gTest(double[] expected, long[] observed, double alpha)
static double	gTestDataSetsComparison(long[] observed1, long[] observed2)
static boolean	gTestDataSetsComparison(long[] observed1, long[] observed2, double alpha)
static double	gTestIntrinsic(double[] expected, long[] observed)
static double	homoscedasticT(double[] sample1, double[] sample2)
static double	homoscedasticT(StatisticalSummary sampleStats1, StatisticalSummary sampleStats2)
static double	homoscedasticTTest(double[] sample1, double[] sample2)
static boolean	homoscedasticTTest(double[] sample1, double[] sample2, double alpha)
static double	homoscedasticTTest(StatisticalSummary sampleStats1, StatisticalSummary sampleStats2)
static double	kolmogorovSmirnovStatistic(double[] x, double[] y)
static double	kolmogorovSmirnovStatistic(RealDistribution dist, double[] data)
static double	kolmogorovSmirnovTest(double[] x, double[] y)
static double	kolmogorovSmirnovTest(double[] x, double[] y, boolean strict)
static double	kolmogorovSmirnovTest(RealDistribution dist, double[] data)
static double	kolmogorovSmirnovTest(RealDistribution dist, double[] data, boolean strict)
static boolean	kolmogorovSmirnovTest(RealDistribution dist, double[] data, double alpha)
static double	oneWayAnovaFValue(Collection<double[]> categoryData)
static double	oneWayAnovaPValue(Collection<double[]> categoryData)
static boolean	oneWayAnovaTest(Collection<double[]> categoryData, double alpha)
static double	pairedT(double[] sample1, double[] sample2)
static double	pairedTTest(double[] sample1, double[] sample2)
static boolean	pairedTTest(double[] sample1, double[] sample2, double alpha)
static double	rootLogLikelihoodRatio(long k11, long k12, long k21, long k22)
static double	t(double[] sample1, double[] sample2)
static double	t(double mu, double[] observed)
static double	t(double mu, StatisticalSummary sampleStats)
static double	t(StatisticalSummary sampleStats1, StatisticalSummary sampleStats2)
static double	tTest(double[] sample1, double[] sample2)
static boolean	tTest(double[] sample1, double[] sample2, double alpha)
static double	tTest(double mu, double[] sample)
static boolean	tTest(double mu, double[] sample, double alpha)
static double	tTest(double mu, StatisticalSummary sampleStats)
static boolean	tTest(double mu, StatisticalSummary sampleStats, double alpha)
static double	tTest(StatisticalSummary sampleStats1, StatisticalSummary sampleStats2)
static boolean	tTest(StatisticalSummary sampleStats1, StatisticalSummary sampleStats2, double alpha)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

homoscedasticT

public static double homoscedasticT(double[] sample1,
                                    double[] sample2)
                             throws MathIllegalArgumentException,
                                    NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

TTest.homoscedasticT(double[], double[])

homoscedasticT

public static double homoscedasticT(StatisticalSummary sampleStats1,
                                    StatisticalSummary sampleStats2)
                             throws MathIllegalArgumentException,
                                    NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

TTest.homoscedasticT(StatisticalSummary, StatisticalSummary)

homoscedasticTTest

public static boolean homoscedasticTTest(double[] sample1,
                                         double[] sample2,
                                         double alpha)
                                  throws MathIllegalArgumentException,
                                         NullArgumentException,
                                         MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.homoscedasticTTest(double[], double[], double)

homoscedasticTTest

public static double homoscedasticTTest(double[] sample1,
                                        double[] sample2)
                                 throws MathIllegalArgumentException,
                                        NullArgumentException,
                                        MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.homoscedasticTTest(double[], double[])

homoscedasticTTest

public static double homoscedasticTTest(StatisticalSummary sampleStats1,
                                        StatisticalSummary sampleStats2)
                                 throws MathIllegalArgumentException,
                                        NullArgumentException,
                                        MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.homoscedasticTTest(StatisticalSummary, StatisticalSummary)

pairedT

public static double pairedT(double[] sample1,
                             double[] sample2)
                      throws MathIllegalArgumentException,
                             NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

TTest.pairedT(double[], double[])

pairedTTest

public static boolean pairedTTest(double[] sample1,
                                  double[] sample2,
                                  double alpha)
                           throws MathIllegalArgumentException,
                                  NullArgumentException,
                                  MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.pairedTTest(double[], double[], double)

pairedTTest

public static double pairedTTest(double[] sample1,
                                 double[] sample2)
                          throws MathIllegalArgumentException,
                                 NullArgumentException,
                                 MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.pairedTTest(double[], double[])

t

public static double t(double mu,
                       double[] observed)
                throws MathIllegalArgumentException,
                       NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

TTest.t(double, double[])

t

public static double t(double mu,
                       StatisticalSummary sampleStats)
                throws MathIllegalArgumentException,
                       NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

TTest.t(double, StatisticalSummary)

t

public static double t(double[] sample1,
                       double[] sample2)
                throws MathIllegalArgumentException,
                       NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

TTest.t(double[], double[])

t

public static double t(StatisticalSummary sampleStats1,
                       StatisticalSummary sampleStats2)
                throws MathIllegalArgumentException,
                       NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

TTest.t(StatisticalSummary, StatisticalSummary)

tTest

public static boolean tTest(double mu,
                            double[] sample,
                            double alpha)
                     throws MathIllegalArgumentException,
                            NullArgumentException,
                            MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.tTest(double, double[], double)

tTest

public static double tTest(double mu,
                           double[] sample)
                    throws MathIllegalArgumentException,
                           NullArgumentException,
                           MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.tTest(double, double[])

tTest

public static boolean tTest(double mu,
                            StatisticalSummary sampleStats,
                            double alpha)
                     throws MathIllegalArgumentException,
                            NullArgumentException,
                            MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.tTest(double, StatisticalSummary, double)

tTest

public static double tTest(double mu,
                           StatisticalSummary sampleStats)
                    throws MathIllegalArgumentException,
                           NullArgumentException,
                           MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.tTest(double, StatisticalSummary)

tTest

public static boolean tTest(double[] sample1,
                            double[] sample2,
                            double alpha)
                     throws MathIllegalArgumentException,
                            NullArgumentException,
                            MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.tTest(double[], double[], double)

tTest

public static double tTest(double[] sample1,
                           double[] sample2)
                    throws MathIllegalArgumentException,
                           NullArgumentException,
                           MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.tTest(double[], double[])

tTest

public static boolean tTest(StatisticalSummary sampleStats1,
                            StatisticalSummary sampleStats2,
                            double alpha)
                     throws MathIllegalArgumentException,
                            NullArgumentException,
                            MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.tTest(StatisticalSummary, StatisticalSummary, double)

tTest

public static double tTest(StatisticalSummary sampleStats1,
                           StatisticalSummary sampleStats2)
                    throws MathIllegalArgumentException,
                           NullArgumentException,
                           MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

TTest.tTest(StatisticalSummary, StatisticalSummary)

chiSquare

public static double chiSquare(double[] expected,
                               long[] observed)
                        throws MathIllegalArgumentException

Throws:

MathIllegalArgumentException

See Also:

ChiSquareTest.chiSquare(double[], long[])

chiSquare

public static double chiSquare(long[][] counts)
                        throws MathIllegalArgumentException,
                               NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

ChiSquareTest.chiSquare(long[][])

chiSquareTest

public static boolean chiSquareTest(double[] expected,
                                    long[] observed,
                                    double alpha)
                             throws MathIllegalArgumentException,
                                    MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

ChiSquareTest.chiSquareTest(double[], long[], double)

chiSquareTest

public static double chiSquareTest(double[] expected,
                                   long[] observed)
                            throws MathIllegalArgumentException,
                                   MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

ChiSquareTest.chiSquareTest(double[], long[])

chiSquareTest

public static boolean chiSquareTest(long[][] counts,
                                    double alpha)
                             throws MathIllegalArgumentException,
                                    NullArgumentException,
                                    MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

ChiSquareTest.chiSquareTest(long[][], double)

chiSquareTest

public static double chiSquareTest(long[][] counts)
                            throws MathIllegalArgumentException,
                                   NullArgumentException,
                                   MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

ChiSquareTest.chiSquareTest(long[][])

chiSquareDataSetsComparison

public static double chiSquareDataSetsComparison(long[] observed1,
                                                 long[] observed2)
                                          throws MathIllegalArgumentException

Throws:

MathIllegalArgumentException

See Also:

ChiSquareTest.chiSquareDataSetsComparison(long[], long[])

chiSquareTestDataSetsComparison

public static double chiSquareTestDataSetsComparison(long[] observed1,
                                                     long[] observed2)
                                              throws MathIllegalArgumentException,
                                                     MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

ChiSquareTest.chiSquareTestDataSetsComparison(long[], long[])

chiSquareTestDataSetsComparison

public static boolean chiSquareTestDataSetsComparison(long[] observed1,
                                                      long[] observed2,
                                                      double alpha)
                                               throws MathIllegalArgumentException,
                                                      MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

ChiSquareTest.chiSquareTestDataSetsComparison(long[], long[], double)

oneWayAnovaFValue

public static double oneWayAnovaFValue(Collection<double[]> categoryData)
                                throws MathIllegalArgumentException,
                                       NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

OneWayAnova.anovaFValue(Collection)

oneWayAnovaPValue

public static double oneWayAnovaPValue(Collection<double[]> categoryData)
                                throws MathIllegalArgumentException,
                                       NullArgumentException,
                                       MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

OneWayAnova.anovaPValue(Collection)

oneWayAnovaTest

public static boolean oneWayAnovaTest(Collection<double[]> categoryData,
                                      double alpha)
                               throws MathIllegalArgumentException,
                                      NullArgumentException,
                                      MathIllegalStateException

Throws:

MathIllegalArgumentException

NullArgumentException

MathIllegalStateException

See Also:

OneWayAnova.anovaTest(Collection,double)

g

public static double g(double[] expected,
                       long[] observed)
                throws MathIllegalArgumentException

Throws:

MathIllegalArgumentException

See Also:

GTest.g(double[], long[])

gTest

public static double gTest(double[] expected,
                           long[] observed)
                    throws MathIllegalArgumentException,
                           MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

GTest.gTest( double[], long[] )

gTestIntrinsic

public static double gTestIntrinsic(double[] expected,
                                    long[] observed)
                             throws MathIllegalArgumentException,
                                    MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

GTest.gTestIntrinsic(double[], long[] )

gTest

public static boolean gTest(double[] expected,
                            long[] observed,
                            double alpha)
                     throws MathIllegalArgumentException,
                            MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

GTest.gTest( double[],long[],double)

gDataSetsComparison

public static double gDataSetsComparison(long[] observed1,
                                         long[] observed2)
                                  throws MathIllegalArgumentException

Throws:

MathIllegalArgumentException

See Also:

GTest.gDataSetsComparison(long[], long[])

rootLogLikelihoodRatio

public static double rootLogLikelihoodRatio(long k11,
                                            long k12,
                                            long k21,
                                            long k22)
                                     throws MathIllegalArgumentException

Throws:

MathIllegalArgumentException

See Also:

GTest.rootLogLikelihoodRatio(long, long, long, long)

gTestDataSetsComparison

public static double gTestDataSetsComparison(long[] observed1,
                                             long[] observed2)
                                      throws MathIllegalArgumentException,
                                             MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

GTest.gTestDataSetsComparison(long[], long[])

gTestDataSetsComparison

public static boolean gTestDataSetsComparison(long[] observed1,
                                              long[] observed2,
                                              double alpha)
                                       throws MathIllegalArgumentException,
                                              MathIllegalStateException

Throws:

MathIllegalArgumentException

MathIllegalStateException

See Also:

GTest.gTestDataSetsComparison(long[],long[],double)

kolmogorovSmirnovStatistic

public static double kolmogorovSmirnovStatistic(RealDistribution dist,
                                                double[] data)
                                         throws MathIllegalArgumentException,
                                                NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

KolmogorovSmirnovTest.kolmogorovSmirnovStatistic(RealDistribution, double[])

kolmogorovSmirnovTest

public static double kolmogorovSmirnovTest(RealDistribution dist,
                                           double[] data)
                                    throws MathIllegalArgumentException,
                                           NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

KolmogorovSmirnovTest.kolmogorovSmirnovTest(RealDistribution, double[])

kolmogorovSmirnovTest

public static double kolmogorovSmirnovTest(RealDistribution dist,
                                           double[] data,
                                           boolean strict)
                                    throws MathIllegalArgumentException,
                                           NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

KolmogorovSmirnovTest.kolmogorovSmirnovTest(RealDistribution, double[], boolean)

kolmogorovSmirnovTest

public static boolean kolmogorovSmirnovTest(RealDistribution dist,
                                            double[] data,
                                            double alpha)
                                     throws MathIllegalArgumentException,
                                            NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

KolmogorovSmirnovTest.kolmogorovSmirnovTest(RealDistribution, double[], double)

kolmogorovSmirnovStatistic

public static double kolmogorovSmirnovStatistic(double[] x,
                                                double[] y)
                                         throws MathIllegalArgumentException,
                                                NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

KolmogorovSmirnovTest.kolmogorovSmirnovStatistic(double[], double[])

kolmogorovSmirnovTest

public static double kolmogorovSmirnovTest(double[] x,
                                           double[] y)
                                    throws MathIllegalArgumentException,
                                           NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

KolmogorovSmirnovTest.kolmogorovSmirnovTest(double[], double[])

kolmogorovSmirnovTest

public static double kolmogorovSmirnovTest(double[] x,
                                           double[] y,
                                           boolean strict)
                                    throws MathIllegalArgumentException,
                                           NullArgumentException

Throws:

MathIllegalArgumentException

NullArgumentException

See Also:

KolmogorovSmirnovTest.kolmogorovSmirnovTest(double[], double[], boolean)

exactP

public static double exactP(double d,
                            int m,
                            int n,
                            boolean strict)

See Also:

KolmogorovSmirnovTest.exactP(double, int, int, boolean)

approximateP

public static double approximateP(double d,
                                  int n,
                                  int m)

See Also:

KolmogorovSmirnovTest.approximateP(double, int, int)