Evaluation of Misjudgment Risks Caused by Measurement Uncertainty for Batch Product Inspection

Abstract

In order to reasonably pre-estimate the influence of measurement uncertainty on the results of batch product inspection, for total inspection and sampling inspection methods, misjudgment risks for both producer and consumer sides were quantified with indices of misjudgment probabilities. Based on absolute probability and conditional probability, models for the risks of total inspection were established, and on the basis, calculation formulas for sampling inspection were derived. Example results show that proposed models can comprehensively reflect risks caused by measurement uncertainty. The misjudgment probabilities calculated by absolute probability models can be used as the basis for the selection of the measurement plan for product inspection. The misjudgment probabilities calculated by conditional probability models can more directly reflect the risks for both producer and consumer sides and prompt inspectors to make decisions more carefully.