Technical Report VIII
Wolfram Demonstrations Project
Tool for Quality Control Design and Evaluation
A T Hatjimihail
Abstract
This Demonstration can be used to estimate various parameters of a measurement process and to design the quality control rule to be applied. The user defines the parameters of the control measurements that are the assigned mean, the observed mean, and the standard deviation, in arbitrary measurement units. In addition, the user defines the quality specifications of the measurement process, that is, the total allowable analytical error (as a percentage of the assigned mean), the maximum acceptable fraction of measurements nonconforming to the specifications, and the minimum acceptable probabilities for random and systematic error detection. Finally, the user chooses the number n of control measurements. S(1, n, d σ) is a quality control rule that rejects the analytical run if at least one of the n control measurements is less than m0-d σ or greater than m0+d σ, where d is a positive real number and m0 and σ are the mean and the standard deviation of the control measurements. The quality control decision limits are m0-d σ and m0+d σ . Then the fraction nonconforming f, the critical random and systematic errors of the measurement process, as well as the quality control decision limits and the respective probabilities for critical random and systematic error detection and for false rejection are estimated. Finally, by choosing the type of output, the estimated quality control (QC) parameters or plots of the probability density function (pdf), the cumulative distribution function (cdf) of the control measurements, or the power function graphs for the random error (pfg re) and systematic error (pfg se) are displayed. The parameters are estimated and the functions are plotted if 10-100 ≤ f ≤ fmax, where f is the fraction nonconforming and fmax is the maximum acceptable fraction nonconforming.
First Published
2010-08-17
Revised
2026-06-05
DOI
Citation
Hatjimihail AT. Tool for Quality Control Design and Evaluation. Technical Report VIII. Hellenic Complex Systems Laboratory; 2010. https://doi.org/10.5281/zenodo.20558445.
Source Notebook (Revised on 2026-06-05)
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