Chi-square tests for comparing vectors of proportions for several cluster samples

Kenneth J. Koehler, Jeffrey Wilson

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


Test statistics are developed for comparing vectors of proportions obtained from several independent two-stage cluster samples. It is assumed that clusters are selected with probability proportional to size for each sample. Wald's general method of constructing quadratic forms is used to obtain a large sample chi-square test. More easily evaluated chi-square tests are derived from the Dirichlet-multinomial model. Corresponding goodness-of-fit tests for the Dirichlet-multinomial model are also derived.

Original languageEnglish (US)
Pages (from-to)2977-2990
Number of pages14
JournalCommunications in Statistics - Theory and Methods
Issue number10
StatePublished - Jan 1 1986


  • Dirichlet-multinomial model
  • Pearson chi-square test
  • Wald statistics

ASJC Scopus subject areas

  • Statistics and Probability


Dive into the research topics of 'Chi-square tests for comparing vectors of proportions for several cluster samples'. Together they form a unique fingerprint.

Cite this