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.
- 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