ABSTRACT

This chapter compares the skewness and kurtosis of continuous distributions. It also compares their centile skewness and kurtosis. The chapter shows the flexibility in skewness and kurtosis of different distributions which may be informative in the selection of an appropriate response variable distribution. It provides important information in terms of selecting appropriately flexible continuous distributions in terms of skewness and kurtosis. The boundary of central and tail centile skewness against the transformed centile kurtosis is given for six important four-parameter distributions with range. An assessment can then be made on whether the skewness and kurtosis of the variable (or residuals) are adequately fitted or not. However these plots can only tell us about the skewness and/or kurtosis of the variable or residuals.