Using ranges to estimate variability

W. H. Woodall, Douglas Montgomery

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


In a number of statistical quality control applications, sample ranges are used to estimate the variance and standard deviation of a normally distributed random variable. A brief review and explanation are given of two estimators of variability based on the sample range and a new estimator is proposed. We also discuss the use of moving ranges when subgroups are of size 1 and point out that, in general, using moving ranges of span exceeding 2 is not desirable. We also review a generalization of the moving range useful in multivariate quality control.

Original languageEnglish (US)
Article number8918643
Pages (from-to)211-217
Number of pages7
JournalQuality Engineering
Issue number2
StatePublished - Jan 1 2000


  • Gauge R&R studies
  • Multivariate quality control
  • Unbiased estimators
  • Variables acceptance sampling

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Industrial and Manufacturing Engineering


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