Quantile-Quantile Plot using Seaborn and SciPy

五迷三道 提交于 2020-06-11 04:06:50

问题


Can anyone give me a way to do a qq plot in Seaborn as a test for normality of data? Or failing that, at least in matplotlib.

Thanks in advance


回答1:


After reading the wikipedia article, I understand that the Q-Q plot is a plot of the quantiles of two distributions against each other.

numpy.percentile allows to obtain the percentile of a distribution. Hence you can call numpy.percentile on each of the distributions and plot the results against each other.

import numpy as np
import matplotlib.pyplot as plt

a = np.random.normal(5,5,250)
b = np.random.rayleigh(5,250)

percs = np.linspace(0,100,21)
qn_a = np.percentile(a, percs)
qn_b = np.percentile(b, percs)

plt.plot(qn_a,qn_b, ls="", marker="o")

x = np.linspace(np.min((qn_a.min(),qn_b.min())), np.max((qn_a.max(),qn_b.max())))
plt.plot(x,x, color="k", ls="--")

plt.show()




回答2:


I'm not sure if this still recent, but I notice that neither of the answers really addresses the question, which asks how to do qq-plots with scipy and seaborn, but doesn't mention statsmodels. In fact, qq-plots are available in scipy under the name probplot:

from scipy import stats
import seaborn as sns
stats.probplot(x, plot=sns.mpl.pyplot)

The plot argument to probplot can be anything that has a plot method and a text method. Probplot is also quite flexible about the kinds of theoretical distributions it supports.




回答3:


Statsmodels.api has a plotter for this job, check out statsmodels.api.qqplot().

Here's a couple of examples using same data as above.

import numpy as np
import matplotlib.pyplot as plt
import statsmodels.api as sm

 a = np.random.normal(5,5,250)
 sm.qqplot(a)
 plt.show()

SO won't let me post images yet. So try it out. This one shows a normal distribution plotted against a normal distribution resulting in (pretty darn) straight line.

b = np.random.rayleigh(5,250)
sm.qqplot(b)

This one shows raleigh dist plotted against normal dist. Result is slightly concave curve.



来源:https://stackoverflow.com/questions/46935289/quantile-quantile-plot-using-seaborn-and-scipy

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