Two Sample Equivalence Testing Methodology

This document is a guide on two sample equivalence testing, focusing on the comparison of an old and a new measurement system. It outlines the process of determining whether the two systems yield equivalent results within a predefined margin of error. The guide begins with an introduction to equivalence testing, emphasizing the importance of defining an equivalence interval. It details the calculations necessary for conducting a two sample equivalence test, including sample statistics and confidence intervals. The document presents an example involving hardness testers, illustrating how to analyze data and interpret results. It explains the significance of confidence intervals and p-values in testing hypotheses regarding the equivalence of the two systems. The conclusions drawn from the analysis indicate whether the two testers are equivalent based on the calculated confidence interval and p-values. Additionally, the guide compares the two sample equivalence test to the two sample t-test, highlighting their similarities and differences.