Interface OneWayAnova

All Known Implementing Classes:
OneWayAnovaImpl

public interface OneWayAnova
An interface for one-way ANOVA (analysis of variance).

Tests for differences between two or more categories of univariate data (for example, the body mass index of accountants, lawyers, doctors and computer programmers). When two categories are given, this is equivalent to the TTest.

Since:
1.2
Version:
$Revision: 811786 $ $Date: 2009-09-06 11:36:08 +0200 (dim. 06 sept. 2009) $
  • Method Summary

    Modifier and Type
    Method
    Description
    double
    anovaFValue(Collection<double[]> categoryData)
    Computes the ANOVA F-value for a collection of double[] arrays.
    double
    anovaPValue(Collection<double[]> categoryData)
    Computes the ANOVA P-value for a collection of double[] arrays.
    boolean
    anovaTest(Collection<double[]> categoryData, double alpha)
    Performs an ANOVA test, evaluating the null hypothesis that there is no difference among the means of the data categories.
  • Method Details

    • anovaFValue

      double anovaFValue(Collection<double[]> categoryData) throws IllegalArgumentException, MathException
      Computes the ANOVA F-value for a collection of double[] arrays.

      Preconditions:

      • The categoryData Collection must contain double[] arrays.
      • There must be at least two double[] arrays in the categoryData collection and each of these arrays must contain at least two values.

      Parameters:
      categoryData - Collection of double[] arrays each containing data for one category
      Returns:
      Fvalue
      Throws:
      IllegalArgumentException - if the preconditions are not met
      MathException - if the statistic can not be computed do to a convergence or other numerical error.
    • anovaPValue

      double anovaPValue(Collection<double[]> categoryData) throws IllegalArgumentException, MathException
      Computes the ANOVA P-value for a collection of double[] arrays.

      Preconditions:

      • The categoryData Collection must contain double[] arrays.
      • There must be at least two double[] arrays in the categoryData collection and each of these arrays must contain at least two values.

      Parameters:
      categoryData - Collection of double[] arrays each containing data for one category
      Returns:
      Pvalue
      Throws:
      IllegalArgumentException - if the preconditions are not met
      MathException - if the statistic can not be computed do to a convergence or other numerical error.
    • anovaTest

      boolean anovaTest(Collection<double[]> categoryData, double alpha) throws IllegalArgumentException, MathException
      Performs an ANOVA test, evaluating the null hypothesis that there is no difference among the means of the data categories.

      Preconditions:

      • The categoryData Collection must contain double[] arrays.
      • There must be at least two double[] arrays in the categoryData collection and each of these arrays must contain at least two values.
      • alpha must be strictly greater than 0 and less than or equal to 0.5.

      Parameters:
      categoryData - Collection of double[] arrays each containing data for one category
      alpha - significance level of the test
      Returns:
      true if the null hypothesis can be rejected with confidence 1 - alpha
      Throws:
      IllegalArgumentException - if the preconditions are not met
      MathException - if the statistic can not be computed do to a convergence or other numerical error.