Process Selection for Linear Profiles with One-sided Specifications Based on the Ratio Test Statistic

The quality of a process is characterized by a functional relationship between the response variable and one or more explanatory variables called a linear profile. In this study, the process selection problem that deals with comparing two linear profiles with one-sided specifications and selecting the one that has a significantly higher capability value is presented. An exact approach based on the ratio test statistic to tackle the supplier selection problem is proposed. Testing hypotheses with two cases for comparing two processes is considered. Critical values of the tests are calculated to determine the selection decisions. The number of profiles required for a designated selection power and confidence level is also provided. The results provide useful information to practitioners. One real example is used to illustrate the application of our proposed approach.