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A general approach for testing the process capability index
Author(s) -
Hoffman Lorrie L.
Publication year - 1993
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.4680090508
Subject(s) - sample (material) , process (computing) , sample size determination , index (typography) , value (mathematics) , computer science , statistics , mathematics , algorithm , programming language , chemistry , chromatography
This paper presents a generalized approach to the problem of testing with the process capability index Cĉ p . It allows for testing at any α‐level and any sample size. For small sample sizes n < 30, n odd, tables are included with αs incremented by 0.025, which are generated by a computer program. This program is written in BASIC and appears in an Appendix. For different α levels (say α = 0·1) the program can be used to generate the appropriate value to use in determining the critical values. For larger sample sizes an approximation method is supplied. Additionally, the method to derive an associated operating characteristic curve is examined.