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Biometrika 1983 70(1):11-17; doi:10.1093/biomet/70.1.11
© 1983 by Biometrika Trust
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The stabilized probability plot

JOHN R. MICHAEL

Department of Statistics, Southern Methodist University Dallas, Texas, U.S.A.

The stabilized probability plot is introduced. An attractive feature of the plot that enhances its interpretability is that the variances of the plotted points are approximately equal. This prompts the definition of a new and powerful goodness-of-fit statistic DSP which, analogous to the standard Kolmogorov–Smirnov statistic D, is defined to be the maximum deviation of the plotted points from their theoretical values. Using either D or Dsp it is shown how to construct acceptance regions for QQ, pp and the new plots. Acceptance regions can help remove much of the subjectivity from the interpretation of these probability plots.

Key Words: Goodness-of-fit • Graphical method • Kolmogorov-Smirnov statistic • Percent-percent plot • Quantile-quantile plot • Variance stabilizing transformation


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