Class StatisticalTests

java.lang.Object

org.episteme.core.mathematics.statistics.StatisticalTests

public class StatisticalTests
extends Object

Advanced statistical methods and tests.

Hypothesis testing, correlation, regression.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
StatisticalTests()

Method Summary

Modifier and Type	Method	Description
static Real	chiSquaredTest(List<Real> observed, List<Real> expected)	Chi-squared test for goodness of fit.
static Real	covariance(List<Real> x, List<Real> y)	Covariance between two datasets.
static Real[]	linearRegression(List<Real> x, List<Real> y)	Linear regression: y = a + bx.
static Real	oneWayAnova(List<List<Real>> groups)	One-Way Analysis of Variance (ANOVA).
static Real	pearsonCorrelation(List<Real> x, List<Real> y)	Pearson correlation coefficient: measures linear relationship [-1, 1].
static Real	rSquared(List<Real> x, List<Real> y)	Coefficient of determination R²: proportion of variance explained.
static Real	standardDeviation(List<Real> data)	Standard deviation.
static Real	tTest(List<Real> sample1, List<Real> sample2)	Student's t-test for independent samples.

Methods inherited from class Object

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

Constructor Details

StatisticalTests

public StatisticalTests()

Method Details

pearsonCorrelation

public static Real pearsonCorrelation(List<Real> x,
 List<Real> y)

Pearson correlation coefficient: measures linear relationship [-1, 1].

linearRegression

public static Real[] linearRegression(List<Real> x,
 List<Real> y)

Linear regression: y = a + bx. Returns [intercept, slope].

rSquared

public static Real rSquared(List<Real> x,
 List<Real> y)

Coefficient of determination R²: proportion of variance explained.

tTest

public static Real tTest(List<Real> sample1,
 List<Real> sample2)

Student's t-test for independent samples. Returns t-statistic.

chiSquaredTest

public static Real chiSquaredTest(List<Real> observed,
 List<Real> expected)

Chi-squared test for goodness of fit. Returns chi-squared statistic.

covariance

public static Real covariance(List<Real> x,
 List<Real> y)

Covariance between two datasets.

standardDeviation

public static Real standardDeviation(List<Real> data)

Standard deviation.

oneWayAnova

public static Real oneWayAnova(List<List<Real>> groups)

One-Way Analysis of Variance (ANOVA). Returns the F-statistic.

Parameters:

groups - list of sample groups

Returns:

F-statistic