Testing the homogeneity of risk differences with sparse count data

Junyong Park*, Iris Ivy Gauran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper, we consider testing the homogeneity of risk differences in independent binomial distributions especially when data are sparse. We point out some drawback of existing tests in either controlling a nominal size or obtaining powers through theoretical and numerical studies. The proposed test is designed to avoid the drawbacks of existing tests. We present the asymptotic null distribution and asymptotic power function for the proposed test. We also provide numerical studies including simulations and real data examples showing the proposed test has reliable results compared to existing testing procedures.

Original languageEnglish (US)
Pages (from-to)1306-1328
Number of pages23
Issue number6
StatePublished - Nov 2 2019


  • Asymptotic distribution
  • homogeneity of risk differences
  • sparse count data

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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