Quantitative Pooled-Sample Testing for Consumer Products
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Solution Overview
Problem
Current pooled-sample testing methods for consumer products lack scientific modeling and accuracy, primarily being qualitative and unable to achieve maximum efficiency due to improper application, which can lead to inaccurate results and increased workload and costs.
Innovation Solution
A quantitative pooled-sample testing method and apparatus that introduces uncertainty into the testing model, using probability theory and mathematical statistics to calculate the optimum number of samples that can be pooled, ensuring accurate results and reduced workload through a mathematical model that considers regulatory limits, measurement uncertainty, and sample pooling ratios.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If pooled-sample testing is applied to reduce testing workload and costs, then testing efficiency and economic benefits are improved, but measurement precision and accuracy of test results deteriorate due to lack of scientific modeling
Solution Approach 1:
The patent applies parameter changes by introducing uncertainty parameters (combined uncertainty Ucomb and expanded uncertainty Urel) into the pooling model. It calculates the maximum number of samples that can be pooled (Kmax) based on regulatory limits, measurement uncertainty, and sample pooling ratios, thereby optimizing the balance between testing efficiency and result accuracy.
Solution Approach 2:
The patent replaces the traditional mechanical/conventional pooling approach with a quantitative mathematical model based on probability theory and statistical theory. This substitution enables precise calculation of the optimum number of samples to pool while maintaining measurement precision through uncertainty analysis.
2Loss of energy
If conventional pooled-sample testing is used without scientific modeling, then testing costs and environmental pollution are reduced, but workload reduction is insufficient and quality standards cannot be maintained
Solution Approach 1:
The patent implements feedback by establishing a closed-loop system that calculates the maximum number of samples to pool based on regulatory limits and measurement uncertainty, then uses this information to determine the optimum pooling size that maintains quality standard compliance while maximizing environmental and economic benefits.
Data Source
AI summary
A quantitative pooled-sample testing method and apparatus for chemical test items of consumer products are provided. The test method includes: calculating a maximum number of samples that can be pooled according to parameters such as regulatory limit requirements, measurement uncertainty, the number of pooled samples, a sample pooling ratio, and the like; establishing a searchable table according to a relationship between a qualified rate, the number of samples that can be pooled, and reduced workload; for various items to be tested, directly querying the table to acquire reduced workloads corresponding to different numbers of samples that can be pooled; and when the number of samples that can be pooled does not exceed a maximum value and corresponds to the most greatly reduced workload, determining that number of samples that can be pooled as an optimum number of samples that can be pooled, and performing pooled-sample testing.