Tests on contingency tables

Chi-square and Fisher exact tests on contingency tables test the association between two qualitative variables. Run them in Excel using the XLSTAT software.

What are tests on contingency tables

Tests on contingency tables are used to calculate tables derived from a contingency table, to test the association between rows and columns, and to calculate various specific statistics.

Tests of independence between the rows and the columns of a contingency table

  • Pearson's Chi-square statistic,
  • the Wilks' G²,
  • the approximation of the Fisher's exact test (two-tailed),
  • Monte Carlo test.

Association coefficients between the rows and the columns of a contingency table

  • the Phi coefficient,
  • the Contingency coefficient,
  • Cramer's V,
  • Tschuprow's T,
  • Goodman and Kruskal tau (R/C) and (C/R),
  • Cohen’s kappa,
  • Yule’s Q,
  • Yule’s Y.

Association coefficients between the rows and the columns of a contingency table with confidence ranges

  • Goodman and Kruskal Gamma,
  • Kendall’s tau,
  • Stuart’s tau,
  • Somers’ D (R/C) and (C/R),
  • Theil’s U (R/C) and (C/R),
  • Odds ratio and Log(Odds ratio).