Procedures Applicable to Categorical Frequency Data

This section contains the following items. Details for each can be found by scrolling down the page. | ||

° | Binomial Probabilities | |

° | Fitting an Observed Frequency Distribution to the Closest Poisson Distribution | |

° | For Sequential Sampling: Pascal (Negative Binomial) Probabilities | |

° | Chi-Square "Goodness of Fit" Test | |

° | Kolmogorov-Smirnov One-Sample Test | |

° | For a 2x2 Table of Cross-Categorized Frequency Data: Phi Coefficient; Chi-Square Test of Association; Fisher Exact Probability Test; Rates, Risk Ratio, Odds, Odds Ratio, and Log Odds | |

° | Fisher Exact Probability Test for Tables Larger | |

° | Chi-Square, Cramer's V, and Lambda for a Rows by Columns Contingency Table | |

° | Log-Linear Analysis for a 3-Way Contingency Table | |

° | Kappa as a Measure of Concordance in Categorical Sorting | |

° | McNemar's Test for Correlated Proportions in the Marginals of a |

»Exact binomial probabilities | |

»Approximation via the normal distribution | |

»Approximation via the Poisson distribution |

Version 1·Phi Coefficient of Association·Chi-Square Test of Association·Fisher Exact Probability Test | Version 2 Same as Version 1, but with provision for calculating Rates, Risk Ratio, Odds, Odds Ratio, and Log Odds. |

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Chi-Square, Cramer's V, and Lambda for a rows by columns contingency table containing up to 5 rows and 5 columns. Log-Linear Analysis for a 3-Way Contingency Table. Log-linear analysis is a version of chi-square analysis in which the relevant values are calculated by way of weighted natural logarithms. The first advantage of this procedure is that it is easier to program in the case of a complex 3-way contingency table, since it allows all chi-square values to be derived through simple addition and subtraction of various combinations of the weighted logarithms. The second advantage is that the chi-square values thus derived are linear, which allows for more complex analyses not readily available through the conventional chi-square computational procedure. When a chi-square value is calculated by the log- linear method, it is typically designated as G