Using the studentized range to assess kurtosis

Abstract

Because it is easy to compute from three common statistics (minimum, maximum, standard deviation) the studentized range is a useful test for non-normality when the original data are unavailable. For samples from symmetric populations, the studentized range allows an assessment of kurtosis with Type I and II error rates similar to those obtained from the moment coefficients.

Keywords:

• EDA
• Studentized range
• kurtosis
• skewness
• normality