论文标题
带有测量误差校正的新的$ P $ -Control图表
A New $p$-Control Chart with Measurement Error Correction
论文作者
论文摘要
控制图是监视产品质量的重要工具。有用的应用之一是监视不合格产品的比例。但是，在实际应用中，测量误差无处不在，可能是由于错误的记录或错误分类而发生的，这使观察到的比例与基本的真实比例不同。同样众所周知，忽略测量误差效应提供了偏见，并且可以预期产生的控制图可能会产生错误的检测。在本文中，我们研究了这个重要的问题，并提出了一种有效的方法来纠正测量误差效应，并为不合格产品的比例获取错误灭绝的控制图。此外，与传统方法不同，校正后的EWMA $ P $ -Control图表提供了不对称的控制限制，并且可以灵活地处理较小样本量的数据。进行数值结果是为了证明校正的EWMA $ P $ -Control图表的有效性合理，并验证了测量误差校正的必要性。
Control charts are important tools to monitor quality of products. One of useful applications is to monitor the proportion of non-conforming products. However, in practical applications, measurement error is ubiquitous and may occur due to false records or misclassification, which makes the observed proportion different from the underlying true proportion. It is also well-known that ignoring measurement error effects provides biases, and is expected that the resulting control charts may incur wrong detection. In this paper, we study this important problem and propose a valid method to correct for measurement error effects and obtain error-eliminated control chart for the proportion of non-conforming products. In addition, unlike traditional approaches, the corrected EWMA $p$-control chart provides asymmetric control limits and is flexible to handle the data with small sample size. Numerical results are conducted to justify the validity of the corrected EWMA $p$-control chart and verify the necessity of measurement error correction.
