Evaluating the Performance of Simultaneous Stepwise Confidence Intervals for the Difference between two Poisson Rates

Brianna C. Bright, Julia N. Soulakova

Research output: Contribution to journalArticle

Abstract

We consider the problem of simultaneously estimating Poisson rate differences via applications of the Hsu and Berger stepwise confidence interval method (termed HBM), where comparisons to a common reference group are performed. We discuss continuity-corrected confidence intervals (CIs) and investigate the HBM performance with a moment-based CI, and uncorrected and corrected for continuity Wald and Pooled confidence intervals (CIs). Using simulations, we compare nine individual CIs in terms of coverage probability and the HBM with nine intervals in terms of family-wise error rate (FWER) and overall and local power. The simulations show that these statistical properties depend highly on parameter settings.

Original languageEnglish (US)
Pages (from-to)2338-2361
Number of pages24
JournalCommunications in Statistics: Simulation and Computation
Volume45
Issue number7
DOIs
StatePublished - Aug 8 2016

Fingerprint

Confidence interval
Siméon Denis Poisson
Familywise Error Rate
Local Power
Interval Methods
Coverage Probability
Statistical property
Simulation
Moment
Interval

Keywords

  • Multiple testing
  • Poisson distribution
  • Simultaneous confidence intervals

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation

Cite this

Evaluating the Performance of Simultaneous Stepwise Confidence Intervals for the Difference between two Poisson Rates. / Bright, Brianna C.; Soulakova, Julia N.

In: Communications in Statistics: Simulation and Computation, Vol. 45, No. 7, 08.08.2016, p. 2338-2361.

Research output: Contribution to journalArticle

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