Abstract
Consider a class or group of quality characteristics which are of approximately equal criticality to the acceptability of a product, process or service, and to which a single overall acceptable quality level (AQL) applies, e.g. Major, Minor A, Minor B etc. A self-evidently desirable property of any multivariate acceptance sampling procedure for such a class is that the probability of acceptance when the process fraction nonconforming of the class is p should not depend upon the way in which the individual quality characteristics in the class contribute to p. Baillie (1987) for brevity introduced this property as “partition-invariance” and developed approximately partition-invariant single sampling inspection procedures for two or more normally distributed variables with unknown means. The key idea underlying those developments was to base the acceptance criterion on the minimum variance unbiased (MVU) estimator of p, as had been done for the corresponding univariate cases by Bowker and Goode (19S2) and Lieberman and Resnikoff (1955).
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References
BAILLIE, D. H. (1987): Multivariate acceptance sampling, in H.-J. Lenz, G. B. Wetherill and P.-Th. Wilrich (Eds.) Frontiers in Statistical Quality Control 3, Physica-Verlag, Heidelberg, Germany.
BAILLIE, D. H. (1991): Multi-attribute acceptance sampling plans under independence. Proceedings of the 3rd Conference of the Asia Pacific Quality Control Organisation. Volume 5.
BLACKWELL, D. (1947): Conditional expectation and unbiased sequential estimation, Annals of Mathematical Statistics, 18, 105–110.
BOWKER, A. H. and GOODE, H. P. (1952): Sampling Inspection by Variables, McGrawHill, New York.
DANZIGER, L. and PAPP, Z. (1988): Multiple criteria sampling plans for total fraction nonconformance, Journal of Quality Technology, 20, 181–187.
GIRSHICK, M.A., MOSTELLER, F. and SAVAGE, L. J. (1946): Unbiased estimates for certain binomial sampling problems with applications, Annals of Mathematical Statistics, 17, 13–23.
GREGORY, G. and RESNIKOFF, G. J. (1955): Some notes on mixed variables and attributes sampling plans, Technical Report No. 10, Applied Mathematics and Statistics Laboratory, Stanford University, Stanford, California.
ISO 2859–1:1989: Part 1 Sampling procedures for inspection by attributes : Part 1 : Sampling plans indexed by acceptable quality level (AQL) for lot-by-lot inspection, International Organization for Standardization,. Geneva, Switzerland.
ISO 3951: 1989, Sampling procedures and charts for inspection by variables for percent Nonconforming, International Organization for Standardization, Geneva, Switzerland.
LEHMANN, E. L. and SCHEFFÉ, H. (1950): Completeness, similar regions and unbiased estimation, Part 1, Sankhyâ, 10, 305–340.
LIEBERMAN, G. J. (1953), Contributions to Sampling Inspection, Ph. D. thesis, Stanford University, Stanford, California.
LIEBERMAN, G. J. and RESNIKOFF, G. J. (1955): Sampling plans for inspection by variables, Journal of the American Statistical Association, 50, 457–516.
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© 1992 Springer-Verlag Berlin Heidelberg
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Baillie, D.H. (1992). Attriables Acceptance Sampling Plans. In: Lenz, HJ., Wetherill, G.B., Wilrich, PT. (eds) Frontiers in Statistical Quality Control 4. Frontiers in Statistical Quality Control 4, vol 4. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-11789-7_1
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DOI: https://doi.org/10.1007/978-3-662-11789-7_1
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