Using ranges to estimate variability

W. H. Woodall; Douglas Montgomery

doi:10.1080/08982110108918643

Using ranges to estimate variability

W. H. Woodall, Douglas Montgomery

Industrial, Systems and Operations Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

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 language	English (US)
Article number	8918643
Pages (from-to)	211-217
Number of pages	7
Journal	Quality Engineering
Volume	13
Issue number	2
DOIs	https://doi.org/10.1080/08982110108918643
State	Published - Jan 1 2000

Keywords

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

Access to Document

10.1080/08982110108918643

Cite this

@article{f607982aba2b468a9ec81f6fc4e3dd01,

title = "Using ranges to estimate variability",

abstract = "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.",

keywords = "Gauge R&R studies, Multivariate quality control, Unbiased estimators, Variables acceptance sampling",

author = "Woodall, {W. H.} and Douglas Montgomery",

year = "2000",

month = jan,

day = "1",

doi = "10.1080/08982110108918643",

language = "English (US)",

volume = "13",

pages = "211--217",

journal = "Quality Engineering",

issn = "0898-2112",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Using ranges to estimate variability

AU - Woodall, W. H.

AU - Montgomery, Douglas

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

KW - Gauge R&R studies

KW - Multivariate quality control

KW - Unbiased estimators

KW - Variables acceptance sampling

UR - http://www.scopus.com/inward/record.url?scp=0034452315&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034452315&partnerID=8YFLogxK

U2 - 10.1080/08982110108918643

DO - 10.1080/08982110108918643

M3 - Article

AN - SCOPUS:0034452315

SN - 0898-2112

VL - 13

SP - 211

EP - 217

JO - Quality Engineering

JF - Quality Engineering

IS - 2

M1 - 8918643

ER -

Using ranges to estimate variability

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this