A Monte Carlo Study to Evaluate the Performance of Selected Tests of Homogeneity in Sparse Contingency Tables

D. Kraemer, Robert F. Woolson

Research output: Contribution to journalArticle

1 Citation (Scopus)


We address the problem of tests of homogeneity in two‐way contingency tables in case‐control studies when the case category is subdivided into k subcategories. In this situation, we have two cells with large frequencies and 2 X k cells with frequencies that become small as k increases. We propose two ad hoc statistics in which a statistic for the sparse cells is combined with a statistic for the cells with large frequencies. We will study these tests along with the Pearson test (using a chi‐square approximation) in a Monte Carlo simulation study. Two sets of null hypothesis models and two sets of alternative hypothesis models are considered. The best test for the models considered is the usual Pearson test (using an approximate chi‐square distribution) although the ad hoc models are more powerful under one alternative model considered.

Original languageEnglish
Pages (from-to)763-778
Number of pages16
JournalBiometrical Journal
Issue number7
Publication statusPublished - Jan 1 1988



  • Contingency tables
  • Epidemiology
  • Monte Carlo simulation
  • Product multinomial models

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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