A comparison of tests of homogeneity for sparse contingency tables

Dale F. Kraemer, Robert F. Woolson

Research output: Contribution to journalArticle

4 Citations (Scopus)


Five tests of homogeneity for a 2x(k+l) contingency table are compared using Monte Carlo techniques. For these studies it is assumed that k becomes large in such a way that the contingency table is sparse for 2xk of the cells, but the sample size in two of the cells remains large. The test statistics studied are: the chi-square approximation to the Pearson test statistic, the chi-square approximation to the likelihood ratio statistic, the normal approximation to Zelterman's (1984) ф, the normal approximation to Pearson's chi-square, and the normal approximation to the likelihood ratio statistic. For the range of parameters studied the chi-square approximation to Pearson's statistic performs consistently well with regard to its size and power.

Original languageEnglish
Pages (from-to)465-483
Number of pages19
JournalCommunications in Statistics - Simulation and Computation
Issue number2
Publication statusPublished - Jan 1 1987



  • categorical data
  • goodness of fit
  • sparse tables

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation

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