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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.
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics with special emphasis on Industrial Statistic
Identifiers
URN: urn:nbn:se:ltu:diva-10359Local ID: 9295bcf0-c0d7-11db-834c-000ea68e967bOAI: oai:DiVA.org:ltu-10359DiVA: diva2:983301
Note
Validerad; 2004; 20061013 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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