Confidence intervals of effect size for paired studies

Jianrong Wu, Guoyong Jiang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


To construct a confidence interval of effect size in paired studies, we propose four approximate methods - Wald method, variance-stabilizing transformation method, and signed and modified signed log-likelihood ratio methods. We compare these methods using simulation to determine those that have good performance in terms of coverage probability. In particular, simulations show that the modified signed log-likelihood ratio method produces a confidence interval with a nearly exact coverage probability and highly accurate and symmetric error probabilities even for very small samples. We apply the methods to data from an iron deficiency anemia study.

Original languageEnglish
Pages (from-to)765-773
Number of pages9
JournalBiometrical Journal
Issue number5
StatePublished - Aug 2007


  • Asymptotic theory
  • Confidence interval
  • Effect size
  • Signed log-likelihood ratio
  • Small sample
  • r*-Formula

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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