File:Rule of three.svg
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Summary
[edit]DescriptionRule of three.svg |
English: Image comparing the rule of three to the exact binomial one-sided confidence interval (i.e. Clopper-Pearson) |
Date | |
Source |
Own work |
Author | Bscan |
SVG development InfoField | This W3C-invalid plot was created with Matplotlib. |
Source code InfoField | Python code#Python code shown below
#This code is issued under the Creative Commons CC0 "License"
from __future__ import division
import numpy as np
import matplotlib.pyplot as plt
#Set domain of the graph
MaxTrials = 10000
MinTrials = 1
UCB = np.zeros(MaxTrials)
#Get points that are evenly spaced in log-space
trials = np.exp(np.linspace(np.log(MinTrials),np.log(MaxTrials),100))
#One-sided exact binomial upper confidence bound, equivalent to Clopper-Pearson
#The choice of confidence interval does matter, but this is reasonable and
#is typically the one from which Rule of 3 is derived
#See Agresti and Coull 1998 for alternative binomial confidence intervals
UCB = [1-0.05**(1/i) for i in trials]
Rule_of_3 = [3/i for i in trials]
plt.figure(figsize=(4,3.2))
plt.axes([0.17,0.13,0.79,0.8])
plt.hold(True)
A = []
a, = plt.plot(trials, UCB,'-', color='orange',lw =2.5)
b, = plt.plot(trials, Rule_of_3,'-', color='purple',lw =2.5)
#Formatting
A.append(a)
A.append(b)
ax = plt.gca()
ax.set_yscale('log')
ax.set_xscale('log')
ax.grid()
plt.xlabel("Sample Size")
plt.ylabel(r"95% Upper Confidence Bound")
leg_str = []
leg_str.append(" Exact Binomial")
leg_str.append(" Rule of Three")
bx = plt.legend(A, leg_str,numpoints=1, handletextpad=0, loc="upper right")
plt.savefig("rule_of_three.svg")
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Licensing
[edit]This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 13:41, 10 July 2014 | 395 × 321 (69 KB) | Bscan (talk | contribs) | User created page with UploadWizard |
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Width | 316pt |
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Height | 257pt |