A comparison of testing and confidence interval methods for the median

Simon J. Sheather, Joseph W. McKean

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


There are only relatively few confidence coefficients and levels available for distribution-free confidence intervals and test for the median based on the sign statistic. This problem can be overcome by interpolating confidence intervals or by studentizing the median by an estimate of its standard error. Such methods are discussed and then compared via simulation.

Original languageEnglish
Pages (from-to)31-36
Number of pages6
JournalStatistics and Probability Letters
Issue number1
StatePublished - Sep 1987

Bibliographical note

Funding Information:
This research was carried out while Professor J.W. McKean was visiting the Department of Statistics at the University of Melbourne. We gratefully acknowledge the CTEC Research Development Grant from the Faculty of Science at the University of Melbourne that made this visit possible.


  • interpolation
  • median
  • standard error estimate
  • studentization

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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