PERFORMANCE COMPARISON OF BOX-COX TRANSFORMATION AND WEIGHTED VARIANCE METHODS WITH WEIBULL DISTRIBUTION

Abstract

A standard process capability index is calculated based on the assumption that the quality characteristic of the process follows the normal distribution. But there are many cases in which the quality characteristic comes from a non-normal distribution. This paper studies Box-Cox transformation method and Weighted Variance method to calculate process capability indices for Weibull distributed quality characteristic and compares performances of these methods. Weibull distribution is extensively used as a lifetime distribution model because of its flexible shape. The data sets used in performance comparison are randomly generated from Weibull distribution for two different shape and scale parameters through a simulation study. The results indicate that Box-Cox transformation method produces better estimates for process capability than Weighted Variance method.

Keywords

• Process Capability Index
• Box-Cox Transformation Method
• Weighted Variance Method