Template:ConfidenceInterval

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Revision as of 13:21, 22 August 2023 by Aramachus (talk | contribs) (Created page with "<includeonly><onlyinclude><!-- standard case: return an estimation of the 95% confidence interval -->{{#ifexpr: {{{1}}} > 3 and {{{1}}} < ({{{2}}} - 3) | +/- {{#expr: 100*(1.96 * (sqrt (({{{1}}} / {{{2}}}) * (1-({{{1}}} / {{{2}}})) / {{{2}}} ))) round {{{digits|2}}}}}<!-- -->|<!-- if less than three success registered, use "rule of 3" for the upper bound -->{{#ifexpr: {{{1}}} <= 3 and {{{1}}} >= 0 | + {{#expr: 100* 3/{{{2}}} round {{{digits|2}}}}}<!-- -->|<!-- if nearly...")
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Usage

Calculates the 95% confidence interval for inputs k successes on n total number of draws. Returns a percentage value without % sign with two digits (if more or less digits are desired, use the digits argument).

{{ConfidenceInterval|k|n}}
  • 50 success on 100 draws represents a success rate of (50 +/- 9.8)%
  • 250 success on 500 draws represents a success rate of (50 +/- 4.38)%
  • 50 success on 500 draws represents a success rate of (10 +/- 2.62962)% (displaying up to 5 digits with the digits argument here).
  • 100 success on 100 draws represents a success rate of (100 - 3)%
  • 0 success on 100 draws represents a success rate of (0 + 3)%
  • 4765 success on 4765 draws represents a success rate of (100 - 0.06)%
  • 0 success on 365 draws represents a success rate of (0 + 0.82)%
  • 100 success on 10 draws represents a success rate of (1000 )% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).