The measurement process is usually accompanied by error. Measurement error creates a discrepancy between the true value and the observed value of a quality characteristic, affecting the performance of control charts and reducing their ability to detect process changes. In some processes, a quality characteristic is expressed as a function, which is referred to as a profile. Over the past decade, profiles and methods for monitoring them have attracted considerable attention from statistical quality control researchers. Although the impact of measurement error on various control charts and their parameters has been investigated, there is limited information regarding its effect on profiles and their monitoring methods.
In this study, the effect of measurement error on the response variable of linear profiles in Phase II is examined. Simulation results indicate that measurement error also affects the performance of profile monitoring methods, reducing the power of techniques such as EWMA-R and EWMA-3 in detecting process changes. Furthermore, this study proposes a new approach for selecting an appropriate measuring device based on profile monitoring methods in the presence of measurement error.