We give the results of a comprehensive simulation study of the power properties of prominent goodness-of-fit tests. For testing the normal N(μ,σ2), we propose a new omnibus goodness-of-fit statistic C which is a combination of the Shapiro–Wilk statistic W and the correlation statistic R. We show that the test of normality based on C is overall more powerful than other prominent goodness-of-fit ...

in some quality control applications, the quality of a process or a product is described by the relationship between a response variable and one or more explanatory variables, called a profile. moreover, in most practical applications, the qualitative characteristic of a product/service is vague, uncertain and linguistic and cannot be precisely stated. the purpose of this paper is to propose a ...