A control chart is one of the important industrial tools used for monitoring the stability of manufacturing processes. The performance of the control charts can be affected in the presence of measurement error, which also leads to erroneous conclusions. In this article, we examined the effect of measurement error on an adaptive exponentially weighted moving average (AEWMA) control chart by using simple random sampling (SRS) and ranked set sampling (RSS) schemes. The linear covariate model is used to evaluate the control chart in the presence of measurement error. The case of multiple measurements and linear increasing variance is also investigated in the presence of measurement error. The average run length (ARL) and the standard deviation of run length (SDRL) are used as the performance measurement tool. Our results from the simulations and real data application demonstrated that measurement error affects the performance of control charts and multiple measurements are recommended to be used to avoid the effects of measurement error.

控制图是用于监控制造过程稳定性的重要工业工具之一。在存在测量误差的情况下，控制图的性能会受到影响，这也会导致错误的结论。在本文中，我们通过使用简单随机抽样 (SRS) 和排序集抽样 (RSS) 方案检查了测量误差对自适应指数加权移动平均 (AEWMA) 控制图的影响。线性协变量模型用于在存在测量误差的情况下评估控制图。在存在测量误差的情况下，还研究了多次测量和线性增加方差的情况。平均游程长度 ( ARL ) 和游程长度标准差 ( SDRL )) 用作性能测量工具。我们的模拟和实际数据应用结果表明，测量误差会影响控制图的性能，建议使用多次测量以避免测量误差的影响。