Impact and Assessment of Measurement Systems that Meet the 4:1 Rule

This article considers the impact of a measurement system that meets the 4:1 rule. Probabilities of accepting a bad part and rejecting a good part are evaluated. A simulation study calculates the increased estimates of the population standard deviation when the measurement error is ignored, where both non‐trending and trending populations are considered. Also, the impact of sample size is evaluated on estimates and upper confidence bounds of the measurement system standard deviation that are used to assess the 4:1 rule capability; both measurement systems from a single and multiple sources of variation are explored.