The analysis of gauge repeatability and reproducibility with interaction between operators and parts

The purpose of the research is to improve the analysis of the measurement system nowadays. The current measurement system usually utilizes the method of the analysis of variance (ANOVA) to analyze the measurement system while there is interaction between the parts and operators. There are other methods can be used to analyze the measurement systems such as Classical GR&R and Long Form methods. Although the two methods are easy in calculation, they are not suitable to analyze the measurement system while there is interaction between parts and operators. The research modified the two methods to make them suitable to the cases no matter there is interaction between parts and operators or not. In the mean time, the research also compared the gauge variance estimators of five different estimation methods by simulating a measurement system based on the criterions of the biasness, variance, and mean squares error (MSE) of the gauge variance estimate. The research verified that the Modified Long Form method developed in the research gives smaller MSE and variance of gauge variance estimator both in the cases of with interaction and without interaction even though it gives biased estimator of the gauge variance.