Template:ConfidenceInterval - Revision history

Aramachus: added trivial case of zero sample to return nothing at all

2024-01-12T20:46:40Z

added trivial case of zero sample to return nothing at all

← Older revision		Revision as of 20:46, 12 January 2024
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	<includeonly><onlyinclude><!--		<includeonly><onlyinclude><!--
			If no sample at all, return nothing
			-->{{#ifeq:{{{2}}}\|0\|\|<!--
	standard case: return an estimation of the 95% confidence interval		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\|1}}}}}<!--		-->{{#ifexpr: {{{1}}} > 3 and {{{1}}} < ({{{2}}} - 3) \|+/-{{#expr: 100(1.96 (sqrt (({{{1}}} / {{{2}}}) * (1-({{{1}}} / {{{2}}})) / {{{2}}} ))) round {{{digits\|1}}}}}<!--
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	-->}}<!--		-->}}<!--
	-->}}<!--		-->}}<!--
	--></onlyinclude></includeonly>		-->}}</onlyinclude></includeonly>

	==Usage==		==Usage==
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	0 success on 365 draws represents a success rate of ({{#expr: 100(0/365)}}{{ConfidenceInterval\|0\|365}})%		0 success on 365 draws represents a success rate of ({{#expr: 100(0/365)}}{{ConfidenceInterval\|0\|365}})%
	100 success on 10 draws represents a success rate of ({{#expr: 100(100/10)}}{{ConfidenceInterval\|100\|10}})% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).		100 success on 10 draws represents a success rate of ({{#expr: 100(100/10)}}{{ConfidenceInterval\|100\|10}})% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).

			*Trivial case of zero sized sample returns nothing at all:
			<pre>{{ConfidenceInterval\|0\|0}}</pre>
			{{ConfidenceInterval\|0\|0}}

Aramachus: a few more examples to show the flooring at 3 successes

2023-08-22T20:58:36Z

a few more examples to show the flooring at 3 successes

← Older revision		Revision as of 20:58, 22 August 2023
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	100 success on 100 draws represents a success rate of ({{#expr: 100(100/100)}}{{ConfidenceInterval\|100\|100}})%		100 success on 100 draws represents a success rate of ({{#expr: 100(100/100)}}{{ConfidenceInterval\|100\|100}})%
	0 success on 100 draws represents a success rate of ({{#expr: 100(0/100)}}{{ConfidenceInterval\|0\|100}})%		0 success on 100 draws represents a success rate of ({{#expr: 100(0/100)}}{{ConfidenceInterval\|0\|100}})%
			1 success on 100 draws represents a success rate of ({{#expr: 100(1/100)}}{{ConfidenceInterval\|1\|100}})%
			2 successes on 100 draws represents a success rate of ({{#expr: 100(2/100)}}{{ConfidenceInterval\|2\|100}})%
			3 successes on 100 draws represents a success rate of ({{#expr: 100(3/100)}}{{ConfidenceInterval\|3\|100}})%
			4 successes on 100 draws represents a success rate of ({{#expr: 100(4/100)}}{{ConfidenceInterval\|4\|100}})%
	4765 success on 4765 draws represents a success rate of ({{#expr: 100(4765/4765)}}{{ConfidenceInterval\|4765\|4765}})%		4765 success on 4765 draws represents a success rate of ({{#expr: 100(4765/4765)}}{{ConfidenceInterval\|4765\|4765}})%
	0 success on 365 draws represents a success rate of ({{#expr: 100(0/365)}}{{ConfidenceInterval\|0\|365}})%		0 success on 365 draws represents a success rate of ({{#expr: 100(0/365)}}{{ConfidenceInterval\|0\|365}})%
	100 success on 10 draws represents a success rate of ({{#expr: 100(100/10)}}{{ConfidenceInterval\|100\|10}})% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).		100 success on 10 draws represents a success rate of ({{#expr: 100(100/10)}}{{ConfidenceInterval\|100\|10}})% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).

Aramachus: +/- even for extreme cases to increase readability

2023-08-22T20:56:33Z

+/- even for extreme cases to increase readability

← Older revision		Revision as of 20:56, 22 August 2023
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	-->\|<!--		-->\|<!--
	if less than three success registered, use "rule of 3" for the upper bound		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\|1}}}}}<!--		-->{{#ifexpr: {{{1}}} <= 3 and {{{1}}} >= 0 \|+/-{{#expr: 100* 3/{{{2}}} round {{{digits\|1}}}}}<!--
	-->\|<!--		-->\|<!--
	if nearly all draws end in successes, use "rule of 3" for the lower bound		if nearly all draws end in successes, use "rule of 3" for the lower bound
	-->{{#ifexpr: {{{1}}} >= ({{{2}}} - 3) and {{{1}}} <= {{{2}}} \|-{{#expr: 100* 3/{{{2}}} round {{{digits\|1}}}}}<!--		-->{{#ifexpr: {{{1}}} >= ({{{2}}} - 3) and {{{1}}} <= {{{2}}} \|+/-{{#expr: 100* 3/{{{2}}} round {{{digits\|1}}}}}<!--
	-->\|<!--		-->\|<!--
	-->}}<!--		-->}}<!--

Aramachus: removed whitespaces in output

2023-08-22T13:30:50Z

removed whitespaces in output

Aramachus: default output from two to one decimal

2023-08-22T13:27:27Z

default output from two to one decimal

← Older revision		Revision as of 13:27, 22 August 2023
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	<includeonly><onlyinclude><!--		<includeonly><onlyinclude><!--
	standard case: return an estimation of the 95% confidence interval		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}}}}}<!--		-->{{#ifexpr: {{{1}}} > 3 and {{{1}}} < ({{{2}}} - 3) \| +/- {{#expr: 100(1.96 (sqrt (({{{1}}} / {{{2}}}) * (1-({{{1}}} / {{{2}}})) / {{{2}}} ))) round {{{digits\|1}}}}}<!--
	-->\|<!--		-->\|<!--
	if less than three success registered, use "rule of 3" for the upper bound		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}}}}}<!--		-->{{#ifexpr: {{{1}}} <= 3 and {{{1}}} >= 0 \| + {{#expr: 100* 3/{{{2}}} round {{{digits\|1}}}}}<!--
	-->\|<!--		-->\|<!--
	if nearly all draws end in successes, use "rule of 3" for the lower bound		if nearly all draws end in successes, use "rule of 3" for the lower bound
	-->{{#ifexpr: {{{1}}} >= ({{{2}}} - 3) and {{{1}}} <= {{{2}}} \| - {{#expr: 100* 3/{{{2}}} round {{{digits\|2}}}}}<!--		-->{{#ifexpr: {{{1}}} >= ({{{2}}} - 3) and {{{1}}} <= {{{2}}} \| - {{#expr: 100* 3/{{{2}}} round {{{digits\|1}}}}}<!--
	-->\|<!--		-->\|<!--
	-->}}<!--		-->}}<!--
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	==Usage==		==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).		Calculates the 95% confidence interval for inputs k successes on n total number of draws. Returns a percentage value without % sign with one decimal (if more or less digits are desired, use the digits argument).

	<pre>{{ConfidenceInterval\|k\|n}}</pre>		<pre>{{ConfidenceInterval\|k\|n}}</pre>

Aramachus: Created page with "{{#ifexpr: {{{1}}} > 3 and {{{1}}} < ({{{2}}} - 3) | +/- {{#expr: 100(1.96 (sqrt (({{{1}}} / {{{2}}}) * (1-({{{1}}} / {{{2}}})) / {{{2}}} ))) round {{{digits|2}}}}}|{{#ifexpr: {{{1}}} <= 3 and {{{1}}} >= 0 | + {{#expr: 100* 3/{{{2}}} round {{{digits|2}}}}}|

← Older revision		Revision as of 20:58, 22 August 2023
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	100 success on 100 draws represents a success rate of ({{#expr: 100(100/100)}}{{ConfidenceInterval\|100\|100}})%		100 success on 100 draws represents a success rate of ({{#expr: 100(100/100)}}{{ConfidenceInterval\|100\|100}})%
	0 success on 100 draws represents a success rate of ({{#expr: 100(0/100)}}{{ConfidenceInterval\|0\|100}})%		0 success on 100 draws represents a success rate of ({{#expr: 100(0/100)}}{{ConfidenceInterval\|0\|100}})%
			1 success on 100 draws represents a success rate of ({{#expr: 100(1/100)}}{{ConfidenceInterval\|1\|100}})%
			2 successes on 100 draws represents a success rate of ({{#expr: 100(2/100)}}{{ConfidenceInterval\|2\|100}})%
			3 successes on 100 draws represents a success rate of ({{#expr: 100(3/100)}}{{ConfidenceInterval\|3\|100}})%
			4 successes on 100 draws represents a success rate of ({{#expr: 100(4/100)}}{{ConfidenceInterval\|4\|100}})%
	4765 success on 4765 draws represents a success rate of ({{#expr: 100(4765/4765)}}{{ConfidenceInterval\|4765\|4765}})%		4765 success on 4765 draws represents a success rate of ({{#expr: 100(4765/4765)}}{{ConfidenceInterval\|4765\|4765}})%
	0 success on 365 draws represents a success rate of ({{#expr: 100(0/365)}}{{ConfidenceInterval\|0\|365}})%		0 success on 365 draws represents a success rate of ({{#expr: 100(0/365)}}{{ConfidenceInterval\|0\|365}})%
	100 success on 10 draws represents a success rate of ({{#expr: 100(100/10)}}{{ConfidenceInterval\|100\|10}})% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).		100 success on 10 draws represents a success rate of ({{#expr: 100(100/10)}}{{ConfidenceInterval\|100\|10}})% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).

← Older revision		Revision as of 13:30, 22 August 2023
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	<includeonly><onlyinclude><!--		<includeonly><onlyinclude><!--
	standard case: return an estimation of the 95% confidence interval		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\|1}}}}}<!--		-->{{#ifexpr: {{{1}}} > 3 and {{{1}}} < ({{{2}}} - 3) \|+/-{{#expr: 100(1.96 (sqrt (({{{1}}} / {{{2}}}) * (1-({{{1}}} / {{{2}}})) / {{{2}}} ))) round {{{digits\|1}}}}}<!--
	-->\|<!--		-->\|<!--
	if less than three success registered, use "rule of 3" for the upper bound		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\|1}}}}}<!--		-->{{#ifexpr: {{{1}}} <= 3 and {{{1}}} >= 0 \|+{{#expr: 100* 3/{{{2}}} round {{{digits\|1}}}}}<!--
	-->\|<!--		-->\|<!--
	if nearly all draws end in successes, use "rule of 3" for the lower bound		if nearly all draws end in successes, use "rule of 3" for the lower bound
	-->{{#ifexpr: {{{1}}} >= ({{{2}}} - 3) and {{{1}}} <= {{{2}}} \| - {{#expr: 100* 3/{{{2}}} round {{{digits\|1}}}}}<!--		-->{{#ifexpr: {{{1}}} >= ({{{2}}} - 3) and {{{1}}} <= {{{2}}} \|-{{#expr: 100* 3/{{{2}}} round {{{digits\|1}}}}}<!--
	-->\|<!--		-->\|<!--
	-->}}<!--		-->}}<!--
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	<pre>{{ConfidenceInterval\|k\|n}}</pre>		<pre>{{ConfidenceInterval\|k\|n}}</pre>

	50 success on 100 draws represents a success rate of ({{#expr: 100(50/100)}} {{ConfidenceInterval\|50\|100}})%		50 success on 100 draws represents a success rate of ({{#expr: 100(50/100)}}{{ConfidenceInterval\|50\|100}})%
	250 success on 500 draws represents a success rate of ({{#expr: 100(250/500)}} {{ConfidenceInterval\|250\|500}})%		250 success on 500 draws represents a success rate of ({{#expr: 100(250/500)}}{{ConfidenceInterval\|250\|500}})%
	50 success on 500 draws represents a success rate of ({{#expr: 100(50/500)}} {{ConfidenceInterval\|50\|500\|digits=5}})% (displaying up to 5 digits with the digits argument here).		50 success on 500 draws represents a success rate of ({{#expr: 100(50/500)}}{{ConfidenceInterval\|50\|500\|digits=5}})% (displaying up to 5 digits with the digits argument here).
	100 success on 100 draws represents a success rate of ({{#expr: 100(100/100)}} {{ConfidenceInterval\|100\|100}})%		100 success on 100 draws represents a success rate of ({{#expr: 100(100/100)}}{{ConfidenceInterval\|100\|100}})%
	0 success on 100 draws represents a success rate of ({{#expr: 100(0/100)}} {{ConfidenceInterval\|0\|100}})%		0 success on 100 draws represents a success rate of ({{#expr: 100(0/100)}}{{ConfidenceInterval\|0\|100}})%
	4765 success on 4765 draws represents a success rate of ({{#expr: 100(4765/4765)}} {{ConfidenceInterval\|4765\|4765}})%		4765 success on 4765 draws represents a success rate of ({{#expr: 100(4765/4765)}}{{ConfidenceInterval\|4765\|4765}})%
	0 success on 365 draws represents a success rate of ({{#expr: 100(0/365)}} {{ConfidenceInterval\|0\|365}})%		0 success on 365 draws represents a success rate of ({{#expr: 100(0/365)}}{{ConfidenceInterval\|0\|365}})%
	100 success on 10 draws represents a success rate of ({{#expr: 100(100/10)}} {{ConfidenceInterval\|100\|10}})% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).		100 success on 10 draws represents a success rate of ({{#expr: 100(100/10)}}{{ConfidenceInterval\|100\|10}})% (this is a case where the confidence interval makes no sense, thus it is not reported if k > n).