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Designing Single Sampling Plans by Variables Using Predictive Distribution

Designing Single Sampling Plans by Variables Using Predictive Distribution Abstract Sampling plans by variables represent a well-known tool of acceptance sampling and often it is said that their sampling efficiency/economy is better than that of sampling plans by attributes. However, a comparison of the two types of sampling plans is questionable, because the underlying aims are different. The decision criterion in the case of sampling plans by variables is the quality of the production process, while the decision criterion of sampling plans by attributes is based on lot quality. Using sampling plans by variables is tantamount to consider the parameters of the process distribution as random variables. Based on the history of the production process, suitable prior distributions may be selected to the process parameters. In this paper, using the normal approximation for the process distribution, single sampling plans by variables are derived assuming conjugate priors for the process parameters. The performance of these plans is compared with conventional single sampling plans by variables and single sampling plans by attributes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

Designing Single Sampling Plans by Variables Using Predictive Distribution

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Publisher
de Gruyter
Copyright
Copyright © 2010 by the
ISSN
1869-6147
eISSN
1869-6147
DOI
10.1515/eqc.2010.021
Publisher site
See Article on Publisher Site

Abstract

Abstract Sampling plans by variables represent a well-known tool of acceptance sampling and often it is said that their sampling efficiency/economy is better than that of sampling plans by attributes. However, a comparison of the two types of sampling plans is questionable, because the underlying aims are different. The decision criterion in the case of sampling plans by variables is the quality of the production process, while the decision criterion of sampling plans by attributes is based on lot quality. Using sampling plans by variables is tantamount to consider the parameters of the process distribution as random variables. Based on the history of the production process, suitable prior distributions may be selected to the process parameters. In this paper, using the normal approximation for the process distribution, single sampling plans by variables are derived assuming conjugate priors for the process parameters. The performance of these plans is compared with conventional single sampling plans by variables and single sampling plans by attributes.

Journal

Economic Quality Controlde Gruyter

Published: Dec 1, 2010

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