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Statistical Plots Package Symbol

QuantilePlot

QuantilePlot[data₁, data₂]
creates a quantile-quantile plot from the real-valued vectors data₁ and data₂.

To use QuantilePlot, you first need to load the Statistical Plots Package using Needs["StatisticalPlots`"].

QuantilePlot sorts the shorter dataset, and then determines interpolated quantiles at the equivalent position in the longer list of data.

For datasets of equal length, QuantilePlot yields the equivalent of plotting the sorted lists against each other.

QuantilePlot has the same options as Graphics, with the following additions and changes:

Valid settings for the option ReferenceLineStyle are None, Automatic, or a style or a list of styles.

The reference line has a slope of unity. If the points on the plot fall mostly on or near the reference line, the distributions are roughly the same.

QuantilePlot of two datasets:

Needs["StatisticalPlots`"]

QuantilePlot of two datasets:

QuantilePlot with a dashed reference line:

Compare samples from different distributions: