Change search
ReferencesLink to record
Permanent link

Direct link
The effect of pooled and un-pooled variance estimators on Cpm when using subsamples
Arizona State University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2004 (English)In: Journal of QualityTechnology, ISSN 0022-4065, Vol. 36, no 2, 207-222 p.Article in journal (Refereed) Published
Abstract [en]

The vast majority of research on capability indices has assumed that the data consists of one large, representative sample. In practice, and in much of the quality control literature, process data are collected over time in subsamples representing rational subgroups. In this paper we examine the statistical behavior of two Cpm estimators based on this more realistic data structure. The estimators correspond to pooled and un-pooled variance estimators. The theoretical findings are applied to hypothesis testing and power calculations.The power functions of the tests based on the two estimators are used to determine the minimum number of subsamples needed to meet a threshold requirement that power exceeds 0.80. Extensive tables of the recommended number of subsamples are provided with comments on their usage

Place, publisher, year, edition, pages
2004. Vol. 36, no 2, 207-222 p.
Research subject
Mathematical Statistics with special emphasis on Industrial Statistic
URN: urn:nbn:se:ltu:diva-10359Local ID: 9295bcf0-c0d7-11db-834c-000ea68e967bOAI: diva2:983301
Validerad; 2004; 20061013 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

Open Access in DiVA

fulltext(931 kB)1 downloads
File information
File name FULLTEXT01.pdfFile size 931 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Vännman, Kerstin
By organisation
Mathematical Science
In the same journal
Journal of QualityTechnology

Search outside of DiVA

GoogleGoogle Scholar
Total: 1 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 1 hits
ReferencesLink to record
Permanent link

Direct link