Calculation of Misjudgment Probability for Product Inspection Based on Measurement Uncertainty

Abstract

It is important to research into the misjudgment probability of product inspection based on measurement uncertainty, which is of great significance to improve the reliability of inspection results. This paper mainly focused on total inspection and sampling inspection methods and regarded the misjudgment probability as the index to provide quantitative misjudgment risk results for both producer and consumer sides. Through the absolute probability and the conditional probability model, the estimation formula of the total inspection misjudgment rate is deduced, respectively, and the calculation methods of qualification determination and misjudgment rate of the full inspection results are studied. According to the total inspection misjudgment rate, the methods of misjudgment rate of sampling inspection and qualification determination of measurement results are researched. The misjudgment rate of measurement results is calculated based on the exhaustive method and the Monte-Carlo simulation. The estimation results show that 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 probability calculated by conditional probability models is more directly to reflect the risks for both producer and consumer sides, and it prompts inspectors to make decisions more carefully.

The Calculation of Roughness Uncertainty by Fitting B‐Spline Filter Assessment Middle Lines

“…Then we can convert (10) into the form of an inner product. In order to minimize 2 , we should take the derivative 4 Mathematical Problems in Engineering of ( ) and let it be equal to 0.…”

“…When we know the expression of the fitted middle line, the uncertainty of roughness needs to be calculated. For the uncertainty of roughness, it usually refers to the indirect measurement of uncertainty, which is the A-type uncertainty [10]. Generally, the Guide to the Expression of Uncertainty in Measurement (GUM) method is used to calculate the uncertainty of indirect measurement.…”

Misjudgement probability estimation of product inspection based on uncertainty

“…The qualification of the products is determined according to the comparison between the measurement result of each single product and the product tolerance. However, the misjudgement risk caused by the measurement uncertainty in the product testing process is objective and cannot be ignored [3–5].…”