Sample size and power determination for detecting interactions in mixtures of chemicals

Stephanie L. Meadows-Shropshire, Chris Gennings, W. Hans Carter

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In the analysis of mixtures of drugs/chemicals it is often of interest to test for the presence of interaction. If the hypothesis of no interaction (additivity) is not rejected, then the analyst may reasonably claim additivity if and only if the study is powered to a desired (e.g., biologically meaningful) level. The objective of this article is to address the sample size and power issues related to testing the hypothesis of additivity at specified mixture points. The study of disinfectant by-products (DBPs) found in drinking water, described in earlier literature, is used to illustrate the procedures for estimating power and sample sizes for detecting interactions at specified mixtures. The four trihalomethanes used in the study are bromodichloromethane (BDCM), chlorodibromomethane (CDBM), chloroform (CHCl3), and bromoform (CHBr3)

Original languageEnglish
Pages (from-to)104-117
Number of pages14
JournalJournal of Agricultural, Biological, and Environmental Statistics
Issue number1
StatePublished - Mar 2005
Externally publishedYes


  • Additivity
  • Dose-response data
  • Quasi-likelihood
  • Risk assessment


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