Select the method or formula of your choice.

Cramer's v^{2 }measures association based on Pearson's chi-square statistics.

Term | Description |
---|---|

χ ^{2} | Pearson chi-square statistic |

r | number of rows |

c | number of columns |

n _{++} | total number of observations |

Kappa measures the level of agreement between two raters that assign units to a set of categories. A kappa value of 1 corresponds to perfect agreement. A kappa value of 0 reflects no better agreement than would be expected by chance.

Term | Description |
---|---|

n _{i+} | number of observations in the i^{th} row |

n _{+i} | number of observations in the i^{th} column |

n _{ii} | observation in the cell corresponding to the i^{th} row and i^{th} column |

n_{++} | total number of observations |

Goodman-Kruskal lambda is a measure of association for cross tabulations of nominal-level variables. Lambda measures the improvement in predictability of the dependent variable (column or row variable) given the value of other variables (row or column variable). Misclassification probabilities are calculated based on assignment to the category with the greatest probability.

Lambda with Y (column variable) as the dependent variable:

Lambda with X (row variable) as the dependent variable:

Term | Description |
---|---|

c | number of columns |

r | number of rows |

n _{i+} | number of observations in the i^{th} row |

n _{+j} | number of observations in the j^{th} column |

n _{ij} | observations in the cell corresponding to i^{th} row and j^{th} column |

n _{++} | total number of observations |

Goodman-Kruskal tau is a measure of association for cross tabulations of nominal-level variables. Tau measures the improvement in predictability of the dependent variable (column or row variable) given the value of other variables (row or column variable).The misclassification probabilities are calculated based on random category assignment with probabilities given by marginal or conditional proportions.

Tau with Y (column variable) as the dependent variable:

Tau with X (row variable) as the dependent variable:

Term | Description |
---|---|

n _{i+} | number of observations in the i^{th} row |

n _{+i} | number of observations in the j^{th} column |

n _{ij} | observations in the cell corresponding to the i^{th} row and j^{th} column |

n _{++} | total number of observations |