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	<id>http://wiki.nmr-relax.com/wiki/index.php?action=history&amp;feed=atom&amp;title=Parameter_error_analysis</id>
	<title>Parameter error analysis - Revision history</title>
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	<updated>2026-05-21T09:21:03Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.nmr-relax.com/wiki/index.php?title=Parameter_error_analysis&amp;diff=7751&amp;oldid=prev</id>
		<title>Bugman: removed Category:Analysis; added Category:Analysis techniques using HotCat</title>
		<link rel="alternate" type="text/html" href="http://wiki.nmr-relax.com/wiki/index.php?title=Parameter_error_analysis&amp;diff=7751&amp;oldid=prev"/>
		<updated>2020-10-21T18:57:29Z</updated>

		<summary type="html">&lt;p&gt;removed &lt;a href=&quot;/wiki/index.php?title=Category:Analysis&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Category:Analysis (page does not exist)&quot;&gt;Category:Analysis&lt;/a&gt;; added &lt;a href=&quot;/Category:Analysis_techniques&quot; title=&quot;Category:Analysis techniques&quot;&gt;Category:Analysis techniques&lt;/a&gt; using &lt;a href=&quot;/Help:Gadget-HotCat&quot; title=&quot;Help:Gadget-HotCat&quot;&gt;HotCat&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 18:57, 21 October 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l24&quot; &gt;Line 24:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 24:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Analysis]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Analysis &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;techniques&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Time of running]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Time of running]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Bugman</name></author>
		
	</entry>
	<entry>
		<id>http://wiki.nmr-relax.com/wiki/index.php?title=Parameter_error_analysis&amp;diff=4899&amp;oldid=prev</id>
		<title>Bugman: Forced creation of a TOC - this will improve the formatting on the main page &#039;Did you know...&#039; section.</title>
		<link rel="alternate" type="text/html" href="http://wiki.nmr-relax.com/wiki/index.php?title=Parameter_error_analysis&amp;diff=4899&amp;oldid=prev"/>
		<updated>2015-10-15T13:33:55Z</updated>

		<summary type="html">&lt;p&gt;Forced creation of a TOC - this will improve the formatting on the main page &amp;#039;Did you know...&amp;#039; section.&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 13:33, 15 October 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
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&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;__TOC__&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Relax-fit script mode - error analysis for parameters ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Relax-fit script mode - error analysis for parameters ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.nmr-relax.com/manual/Relax_fit_script_mode_error_analysis.html See manual]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.nmr-relax.com/manual/Relax_fit_script_mode_error_analysis.html See manual]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Bugman</name></author>
		
	</entry>
	<entry>
		<id>http://wiki.nmr-relax.com/wiki/index.php?title=Parameter_error_analysis&amp;diff=268&amp;oldid=prev</id>
		<title>Troels Emtekær Linnet: /* See also */</title>
		<link rel="alternate" type="text/html" href="http://wiki.nmr-relax.com/wiki/index.php?title=Parameter_error_analysis&amp;diff=268&amp;oldid=prev"/>
		<updated>2013-06-17T08:48:46Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;See also&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 08:48, 17 June 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l23&quot; &gt;Line 23:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 23:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Analysis]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Analysis]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Time of running]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Troels Emtekær Linnet</name></author>
		
	</entry>
	<entry>
		<id>http://wiki.nmr-relax.com/wiki/index.php?title=Parameter_error_analysis&amp;diff=57&amp;oldid=prev</id>
		<title>Tlinnet: Created page with &quot;== Relax-fit script mode - error analysis for parameters == [http://www.nmr-relax.com/manual/Relax_fit_script_mode_error_analysis.html See manual]  Only one technique adequate...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.nmr-relax.com/wiki/index.php?title=Parameter_error_analysis&amp;diff=57&amp;oldid=prev"/>
		<updated>2013-06-12T11:03:15Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Relax-fit script mode - error analysis for parameters == [http://www.nmr-relax.com/manual/Relax_fit_script_mode_error_analysis.html See manual]  Only one technique adequate...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Relax-fit script mode - error analysis for parameters ==&lt;br /&gt;
[http://www.nmr-relax.com/manual/Relax_fit_script_mode_error_analysis.html See manual]&lt;br /&gt;
&lt;br /&gt;
Only one technique adequately estimates parameter errors when the parameter values where found by optimisation - Monte Carlo simulations. &amp;lt;br&amp;gt;&lt;br /&gt;
In relax this can be implemented by using a series of functions from the monte_carlo user function class. &amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Firstly the number of simulations needs to be set&lt;br /&gt;
 monte_carlo.setup(number=500)&lt;br /&gt;
&lt;br /&gt;
For each simulation, randomised relaxation curves will be fit using exactly the same methodology as the original exponential curves. &amp;lt;br&amp;gt;&lt;br /&gt;
These randomised curves are created by back calculation from the fitted model parameter values and then each point on the curve randomised using the error values set earlier in the script&lt;br /&gt;
 monte_carlo.create_data()&lt;br /&gt;
&lt;br /&gt;
As a grid search for each simulation would be too computationally expensive, the starting point for optimisation for each simulation can be set to the position of the optimised parameter values of the model&lt;br /&gt;
 monte_carlo.initial_values()&lt;br /&gt;
&lt;br /&gt;
Then exactly the same optimisation as was used for the model can be performed&lt;br /&gt;
 minimise(`simplex&amp;#039;, constraints=False)&lt;br /&gt;
&lt;br /&gt;
The parameter errors are then determined as the standard deviation of the optimised parameter values of the simulations&lt;br /&gt;
 monte_carlo.error_analysis()&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
[[Category:Analysis]]&lt;/div&gt;</summary>
		<author><name>Tlinnet</name></author>
		
	</entry>
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