Weibull Distribution Example: A Transformation with Surprising Result
Transformation of process data to achieve normality seems like magic, but it is not. There are a lot of reasons that specific transformations make sense and should be used, such as a lognormal transformation of standard deviations and of time data. But, when it comes to the Weibull distribution, there is no logical or inferential information that provides any guidance on a transformation to normality, until now. Rick Haynes has found a relationship between the Weibull distribution parameters and the optimal Box-Cox transformation lambda value. Through the use of the @Risk simulation program and Minitab, this article walks through the generation of an equation to predict a lambda value.
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