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March 27, 2026Statistical Theory and Related Fields2 citationsOpen Access

ChauBoxplot and AdaptiveBoxplot : two R packages for boxplot-based outlier detection

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TTTiejun TongHLHongmei LinBGBowen Gang

Key Points

  • This research introduces ChauBoxplot and AdaptiveBoxplot to enhance outlier detection beyond traditional methods.
  • Introduced two new R packages designed for improved outlier detection.
  • Conducted comprehensive simulation studies to test the efficacy of the packages.
  • Applied the packages in a real-world analysis of university admission rates.
  • ChauBoxplot and AdaptiveBoxplot flagged fewer false outliers than traditional methods.
  • The analysis highlighted the statistical reliability of these packages over classic approaches.

Abstract

Tukey's boxplot is widely used for outlier detection; however, its classic fixed-fence rule tends to flag an excessive number of outliers as the sample size grows. To address this, we introduce two new R packages, ChauBoxplot and AdaptiveBoxplot, which implement more robust and statistically principled outlier detection methods. We illustrate their advantages and practical implications through comprehensive simulation studies and a real-world analysis of provincial university admission rates from China's National College Entrance Examination. Based on these findings, we provide practical guidance to help practitioners select appropriate boxplot methods, achieving a balance between interpretability and statistical reliability.

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Cite This Study

Tong et al. (2026) studied this question.

synapsesocial.com/papers/69c61f2515a0a509bde17ba3https://doi.org/10.1080/24754269.2026.2642439
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  5. 5Letter-Value Plots: Boxplots for Large Data2017 · 269 citations