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An Improved Boxplot for Univariate Data
Authors:M L Walker  Y H Dovoedo  S Chakraborti  C W Hilton
Institution:1. Department of Mathematics, Pensacola State College, Pensacola, FL;2. Ally Financial Inc., Charlotte, NC;3. Department of Information Systems, Statistics, and Management Science, The University of Alabama, Tuscaloosa, AL
Abstract:The boxplot is an effective data-visualization tool useful in diverse applications and disciplines. Although more sophisticated graphical methods exist, the boxplot remains relevant due to its simplicity, interpretability, and usefulness, even in the age of big data. This article highlights the origins and developments of the boxplot that is now widely viewed as an industry standard as well as its inherent limitations when dealing with data from skewed distributions, particularly when detecting outliers. The proposed Ratio-Skewed boxplot is shown to be practical and suitable for outlier labeling across several parametric distributions.
Keywords:Asymmetric distribution  Bowley's coefficient  Fence constant  Outliers  Skewness
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