Bucket plot: A visual tool for skewness and kurtosis comparisons

Fernanda De Bastiani, Dimitrios M. Stasinopoulos, Robert A. Rigby, Gillian Z. Heller, Lucas A. Silva

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

This study introduces the bucket plot, a visual tool to detect skew-ness and kurtosis in a continuously distributed random variable. The plot can be applied to both moment and centile skewness and kurtosis. The bucket plot is used to detect skewness and kurtosis either in a response variable, or in the residuals from a fitted model as a diagnostic tool by which to assess the adequacy of a fitted distribution to the response variable regarding skew-ness and kurtosis. We demonstrate the bucket plot in nine simulated skewness and kurtosis scenarios, and the usefulness of the plot is shown in a real-data situation.

Original languageEnglish
Pages (from-to)421-440
Number of pages20
JournalBrazilian Journal of Probability and Statistics
Volume36
Issue number3
DOIs
Publication statusPublished - Sept 2022

Keywords

  • Centiles and moments
  • GAMLSS
  • leptokurtic
  • platykurtic
  • residual diagnostic plot
  • skew exponential power type 3

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