Chain rule (probability): Difference between revisions

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In May 2009 [[WP:LAYOUT]] conducted two studies.{{Cref2|A}} The first was to determine the proportion of section titles used in the standard appendices of all articles within the English Wikipedia.{{Cref2|B}} The second was to determine the degree of conformity in all articles within the English Wikipedia as defined by [[WP:LAYOUT]].{{Cref2|C}} Below are the results.{{Cref2|D}}
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==Study one results==
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{| class="wikitable sortable"
! Footer type
! Count
! Proportion
! Error bound{{Cref2|iii|group=1}}
|-
| References || 979 || 48.95% || ±2.19%
|-
| Notes{{Cref2|i|1|group=1}} || 89 || 4.45% || ±1.04%
|-
| Bibliography{{Cref2|i|2|group=1}} || 35 || 1.75% || ±0.57%
|-
| Footnotes || 13 || .65% || ±0.352%
|-
| Sources || 1 || 0.05% || {{Cref2|ii|1|group=1}}
|-
| Works cited || 1 || 0.05% || {{Cref2|ii|2|group=1}}
|-
| Citations || 0 || 0% || {{Cref2|ii|3|group=1}}
|}
 
{{Cnote2 Begin|liststyle=lower-roman}}
{{Cnote2|i|n=2|group=1|Possible confounding}}
{{Cnote2|ii|n=3|group=1|Sample size too small to calculate reliably}}
{{Cnote2|iii|n=1|group=1|Error bounds are calculated with a 95% confidence interval{{Cref2|E|1}}}}
{{Cnote2 End}}
 
==Study two results==
 
===Sections===
 
{| class="sortable wikitable"
|+ Blocked: Articles with sections
! Category
! Count
! Proportion
! Error{{Cref2|ii|group=2}}
|-
| Single || 114 || 46.53% || ±6.246%
|-
| Yes || 93 || 37.959% || ±6.0765%
|-
| No || 35 || 14.285% || ±4.3815%
|-
| Maybe || 3 || {{Cref2|i|1|group=2}} || {{Cref2|i|2|group=2}}
|}
 
{{Cnote2 Begin|liststyle=lower-roman}}
{{Cnote2|i|n=2|group=2|Sample size too small to calculate reliably}}
{{Cnote2|ii|group=2|Error bounds are calculated with a 95% confidence interval{{Cref2|E|2}}}}
{{Cnote2 End}}
 
===Applicable===
 
{| class="sortable wikitable"
|+ Blocked: Applicable by WP:LAYOUT
! Category
! Count
! Proportion
! Error{{Cref2|note 1}}
|-
| Yes || 93 || 70.992% || ±7.77%
|-
| No || 35 || 26.717% || ±7.577%
|-
| Maybe || 3 || {{Cref2|note 2|1}} || {{Cref2|note 2|2}}
|}
 
{{Cnote2 Begin|liststyle=decimal}}
{{Cnote2|note 1|n=2|Sample size too small to calculate reliably}}
{{Cnote2|note 2|Error bounds are calculated with a 95% confidence interval{{Cref2|E|3}}}}
{{Cnote2 End}}
 
==Notes==
 
{{Cnote2 Begin}}
{{Cnote2|A|These are actual results.}}
{{Cnote2|B|{{cite journal|author=[[User:ChyranandChloe|ChyranandChloe]], ''et al.''|date=5 May 2009|title=Standard Appendices Usage Statistics|journal=Journal of Wikipedia Layout|volume=1|issue=1|pages=1-2|publisher=Wikimedia Foundation|location=San Francisco, United States|url=http://en.wikipedia.org/wiki/Wikipedia_talk:Layout/Archive_5#Notes.2C_Footnotes.2C_or_References|language=Spanish|accessdate=2009-09-19}}
}}
{{Cnote2 End}}
 
At this point the author would like to interrupt this list to indicate a possible application of the value attribute found in [[Template:Cnote2]]. Very long lists similar to this [http://en.wikipedia.org/w/index.php?title=Line_of_succession_to_the_British_throne&oldid=314989630 one] may benefited by having it be broken down. Remember to remove the link to an inline occurrence, giving the feel of an regular list, set n=0.
 
{{Cnote2 Begin}}
{{Cnote2|C|value=3|{{cite journal|author=[[User:ChyranandChloe|ChyranandChloe]], ''et al.''|date=5 May 2009|title=Standard Appendicies Conformity Statistics|journal=Journal of Wikipedia Layout|volume=1|issue=1|pages=3-4|publisher=Wikimedia Foundation|location=San Francisco, United States|url=http://en.wikipedia.org/wiki/User_talk:WhatamIdoing/Archive_3#WP:LAYOUT|language=Cantonese|accessdate=2009-09-19}}
}}
{{Cnote2|D|2=Null hypothesis tests have been omitted.
{{{!}} class="wikitable" style="margin-left:10px;"
! Assumption
{{!}}-
{{!}} n > 30
{{!}}-
{{!}} np<sub>0</sub> > 10
{{!}}-
{{!}} n(1-p<sub>0</sub>) > 10
{{!}}-
{{!}} Simple Random Sample
{{!}}}
}}
{{Cnote2|E|n=3|Note that [[binomial distribution]]s are discrete, these error bounds assume a [[normal distribution]]. Calculated as <math>\hat p \pm z^* \sqrt{ \frac{\hat p \left ( 1- \hat p \right )}{n}}</math>, distributed as such: [[File:Standard deviation diagram.svg|300px|Normal distribution]]}}
{{Cnote2 End}}

Latest revision as of 15:18, 24 July 2014

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