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Summary

Description
English: Normal quantile plot of test statistics in which the upper tail is heavier than standard normal but the lower tail is not. The red point falls at 3.13,2.06 and the blue point falls at -1.75,-1.96.
Date
Source Own work
Author Skbkekas
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This plot was created with Matplotlib.
Source code
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Python code

import numpy as np
import matplotlib.pyplot as plt
import scipy.special as sp

## Simulate test statistic values.                                              
T = np.random.normal(size=200)
T[0:20] = np.random.normal(size=20)+2
T = np.sort(T)

## Standard normal quantiles.                                                   
P = np.arange(1, 201, dtype=np.float64)/201
Q = sp.ndtri(P)

plt.clf()
plt.grid(True)
plt.plot([-4,4], [-4,4], '-', color='grey')
plt.hold(True)
plt.plot(T, Q, 'o', color='black', ms=3)

print T[196],Q[196]
print T[4],Q[4]

plt.plot((T[196],), (Q[196],), 'o', color='red')
plt.plot((T[4],), (Q[4],), 'o', color='blue')

plt.xlabel("Observed test statistic quantiles")
plt.ylabel("Standard normal quantiles")
plt.savefig("quantile_meta_test.png")
plt.savefig("quantile_meta_test.svg")

Licensing

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This licensing tag was added to this file as part of the GFDL licensing update.
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inception

13 June 2009

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Date/TimeThumbnailDimensionsUserComment
current03:05, 14 June 2009Thumbnail for version as of 03:05, 14 June 2009720 × 540 (79 KB)Skbkekas{{Information |Description={{en|1=Normal quantile plot of test statistics in which the upper tail is heavier than standard normal but the lower tail is not. The red point falls at 3.13,2.06 and the blue point falls at -1.75,-1.96.}} |Source=Own work by u
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