Bayesian decision theory in variables sampling for quality control.
Anderson, James R.
Bouchoux, Donald R.
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The Bayesian decision method has several features which are desireable in the sampling inspection process for quality control. These features include: (1) comparison of the value of sample information in the decision process with the cost of obtaining the information; (2) basingdecisions on their consequences to the decision maker; and (3) allowing the use of subjective information in the decision process. In this paper the Bayesian decision procedure as it applies to variables sampling for quality control is examined. The basic method is developed for both simultaneous and sequential sampling and the modeling of decision consequences is discussed. Various models for the production process are provided and solutions for the generalized linear model obtained. Finally the incorporation of subjective information is discussed.
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