Package elki.itemsetmining.associationrules.interest

Class YulesY

  • All Implemented Interfaces:
    InterestingnessMeasure
    @Reference(authors="G. U. Yule",title="On the methods of measuring association between two attributes",booktitle="Journal of the Royal Statistical Society 75 (6)",url="https://doi.org/10.2307/2340126",bibkey="doi:10.2307/2340126") @Reference(authors="P.-N. Tan, V. Kumar, J. Srivastava",title="Selecting the right objective measure for association analysis",booktitle="Information Systems 29.4",url="https://doi.org/10.1016/S0306-4379(03)00072-3",bibkey="DBLP:journals/is/TanKS04")
public class YulesY
extends OddsRatio
    Yule's Y interestingness measure.

    \[ \frac{\sqrt{P(X \cap Y) P(\neg X \cap \neg Y)} - \sqrt{P(X \cap \neg Y) P(\neg X \cap Y)}}{\sqrt{P(X \cap Y) P(\neg X \cap \neg Y)} + \sqrt{P(X \cap \neg Y) P(\neg X \cap Y)}} = \frac{\sqrt{\alpha} - 1}{\sqrt{\alpha} + 1} \]

    Reference:

    G. U. Yule
    On the methods of measuring association between two attributes
    Journal of the Royal Statistical Society 75 (6)

    The use for association rule mining was studied in:

    P.-N. Tan, V. Kumar, J. Srivastava
    Selecting the right objective measure for association analysis
    Information Systems 29.4

    Since:
    0.8.0
    Author:
    Abhishek Sharma

    • Constructor Summary

      Constructors 
      Constructor Description
      YulesY()
      Constructor.

    • Method Summary

      All Methods Instance Methods Concrete Methods 
      Modifier and Type Method Description
      double measure​(int t, int sX, int sY, int sXY)
      Computes the value of the measure for a given support values

      • Methods inherited from class java.lang.Object

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

    • Constructor Detail

      • YulesY

        public YulesY()
        Constructor.

    • Method Detail

      • measure

        public double measure​(int t,
                      int sX,
                      int sY,
                      int sXY)
        Description copied from interface: InterestingnessMeasure
        Computes the value of the measure for a given support values
        Specified by:
        measure in interface InterestingnessMeasure
        Overrides:
        measure in class OddsRatio
        Parameters:
        t - Total number of transaction
        sX - Support of the antecedent
        sY - Support of the consequent
        sXY - Support of the union of antecedent and consequent
        Returns:
        value of the measure