File:Binomial confidence band uk.svg

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Original file (SVG file, nominally 540 × 360 pixels, file size: 42 KB)

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Description
English: Illustration of confidence bands using simulated data, labelled in Ukrainian
Українська: Ілюстрація довірчих смуг із застосуванням імітованих даних
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Source code
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Python code

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

X = np.arange(18, 81, 2)

P = 1/(1+np.exp(1-0.2*np.sqrt(X-18)))

Y,S,n = [],[],500
for i,x in enumerate(X):
    y = 1*(np.random.uniform(size=n)<P[i])
    p = y.mean()
    Y.append(p)
    S.append(np.sqrt(p*(1-p)/n))
Y = np.array(Y)
S = np.array(S)

## Множник для одночасно 95 %-вої довірчої смуги із застосуванням методу Бонферроні.
f = -sp.ndtri(0.025/len(P))

plt.clf()
plt.plot(X, Y, '-', color='black', label = 'Оцінка')
plt.plot(X, Y+2*S, '-', color='royalblue', label = 'Поточково 95 %-ва ДС')
plt.plot(X, Y-2*S, '-', color='royalblue')
plt.plot(X, Y+f*S, '-', color='orangered', label = 'Одночасно 95 %-ва ДС')
plt.plot(X, Y-f*S, '-', color='orangered')
plt.plot(X, P, '-', color='green', label = "Істинні частки")
plt.ylim(0,1)
plt.xlim(18,80)
plt.legend(frameon=False)
plt.xlabel("Вік")
plt.ylabel("Частка тих, хто підтримує кандидата А")
plt.savefig("binomial_confidence_band_uk.png")
plt.savefig("binomial_confidence_band_uk.svg")

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w:en:Creative Commons
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current12:38, 8 March 2021Thumbnail for version as of 12:38, 8 March 2021540 × 360 (42 KB)Olexa Riznyk (talk | contribs)Uploaded a work by * File:Binomial confidence band.svg: {{ut|Skbkekas}} * derivative work: {{Ut|Olexa Riznyk}} from * File:Binomial confidence band.svg with UploadWizard

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