Approximate confidence intervals for the correlation from data in two‐by‐two tables

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The family of power divergence statistics is used to construct approximate confidence intervals for the correlation between two variables from data in 2×2 tables. This family includes confidence intervals obtained by inverting the likelihood ratio, Pearson chi‐squared and Freeman–Tukey statistics. Small‐sample calculations show that several power divergence intervals, and in particular the confidence interval constructed from the Pearson chi‐squared statistic, have coverage probabilities closer to nominal levels than the interval based on the normal approximation to the tetrachoric correlation coefficient. 1991 The British Psychological Society

Original languageEnglish (US)
Pages (from-to)369-378
Number of pages10
JournalBritish Journal of Mathematical and Statistical Psychology
Issue number2
StatePublished - Nov 1991
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Arts and Humanities (miscellaneous)
  • General Psychology


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