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Application of Equal Local Levels to Improve Q-Q Plot Testing Bands with R Package qqconf.

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Journal of Statistical Software
|May 19, 2023
PubMed
Summary
This summary is machine-generated.

Quantile-Quantile (Q-Q) plots are enhanced with new testing bands for better fit assessment. The R package qqconf provides accurate, powerful, and fast bands for various statistical applications.

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Equal Local LevelsGWASGlobal TestingKolmogorov-SmirnovMultiple TestingQ-Q plotsSimultaneous Region

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Area of Science:

  • Statistics
  • Data Visualization
  • Statistical Software

Background:

  • Quantile-Quantile (Q-Q) plots are crucial for assessing data distribution fit but are often hard to interpret due to unclear deviation thresholds.
  • Existing methods for adding global testing bands to Q-Q plots have limitations, including inaccurate error rates, poor tail sensitivity, slow computation, and limited applicability.

Purpose of the Study:

  • To introduce a novel method and R package, qqconf, for creating Q-Q and probability-probability (P-P) plots with improved global testing bands.
  • To address the interpretability challenges of Q-Q plots by providing meaningful and statistically sound testing bands.

Main Methods:

  • Implementation of the equal local levels global testing method within the R package qqconf.
  • Development of algorithms for rapid creation of simultaneous testing bands applicable to various distributions.
  • Demonstration of qqconf's ability to add bands to plots generated by other packages.

Main Results:

  • The qqconf package provides versatile Q-Q and P-P plot creation with simultaneous testing bands.
  • The implemented bands offer accurate global levels, equal sensitivity across distribution tails, and fast computation for large datasets.
  • The bands are applicable to a wide range of null distributions.

Conclusions:

  • The qqconf package offers a significant improvement for Q-Q plot analysis by providing reliable and interpretable global testing bands.
  • This tool enhances the assessment of distribution fit in various statistical contexts, including regression, p-value accuracy, and genome-wide association studies.
  • qqconf is a valuable addition to statistical software for researchers needing robust diagnostic plots.