Details
| Original language | English |
|---|---|
| Pages (from-to) | 60-65 |
| Number of pages | 6 |
| Journal | Journal of quality technology |
| Volume | 41 |
| Issue number | 1 |
| Publication status | Published - 21 Nov 2017 |
Abstract
Analysis of means (ANOM) is a procedure used for comparisons with the overall mean by taking the correlations between the comparisons into account. This procedure can be used, for example, in statistical process control to improve product quality. Our interest is to devise inference procedures when the aim is to detect percentage changes from the overall mean in a normal one-way layout. Like ANOM, the results can be presented graphically. Moreover, adjusted p-values and simultaneous confidence intervals for ratios to the overall mean can be constructed. Because ratio parameters are dimensionless, we demonstrate advantages of the proposed approach using examples for comparing several mutants using equal and unequal relative thresholds and for obtaining a set of comparable simultaneous confidence intervals in multiple endpoints.
Keywords
- Analysis of means, ANOM, Fieller's theorem, Simultaneous inference
ASJC Scopus subject areas
- Engineering(all)
- Safety, Risk, Reliability and Quality
- Business, Management and Accounting(all)
- Strategy and Management
- Decision Sciences(all)
- Management Science and Operations Research
- Engineering(all)
- Industrial and Manufacturing Engineering
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In: Journal of quality technology, Vol. 41, No. 1, 21.11.2017, p. 60-65.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Detecting relative changes in multiple comparisons with an overall mean
AU - Djira, Gemechis D.
AU - Hothorn, Ludwig A.
PY - 2017/11/21
Y1 - 2017/11/21
N2 - Analysis of means (ANOM) is a procedure used for comparisons with the overall mean by taking the correlations between the comparisons into account. This procedure can be used, for example, in statistical process control to improve product quality. Our interest is to devise inference procedures when the aim is to detect percentage changes from the overall mean in a normal one-way layout. Like ANOM, the results can be presented graphically. Moreover, adjusted p-values and simultaneous confidence intervals for ratios to the overall mean can be constructed. Because ratio parameters are dimensionless, we demonstrate advantages of the proposed approach using examples for comparing several mutants using equal and unequal relative thresholds and for obtaining a set of comparable simultaneous confidence intervals in multiple endpoints.
AB - Analysis of means (ANOM) is a procedure used for comparisons with the overall mean by taking the correlations between the comparisons into account. This procedure can be used, for example, in statistical process control to improve product quality. Our interest is to devise inference procedures when the aim is to detect percentage changes from the overall mean in a normal one-way layout. Like ANOM, the results can be presented graphically. Moreover, adjusted p-values and simultaneous confidence intervals for ratios to the overall mean can be constructed. Because ratio parameters are dimensionless, we demonstrate advantages of the proposed approach using examples for comparing several mutants using equal and unequal relative thresholds and for obtaining a set of comparable simultaneous confidence intervals in multiple endpoints.
KW - Analysis of means
KW - ANOM
KW - Fieller's theorem
KW - Simultaneous inference
UR - http://www.scopus.com/inward/record.url?scp=62949211653&partnerID=8YFLogxK
U2 - 10.1080/00224065.2009.11917760
DO - 10.1080/00224065.2009.11917760
M3 - Article
AN - SCOPUS:62949211653
VL - 41
SP - 60
EP - 65
JO - Journal of quality technology
JF - Journal of quality technology
SN - 0022-4065
IS - 1
ER -