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	<id>https://www.conservapedia.com/index.php?action=history&amp;feed=atom&amp;title=Probabilistic_likelihood_model</id>
	<title>Probabilistic likelihood model - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://www.conservapedia.com/index.php?action=history&amp;feed=atom&amp;title=Probabilistic_likelihood_model"/>
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	<updated>2026-10-22T07:50:13Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=2027019&amp;oldid=prev</id>
		<title>Conservative at 03:11, February 19, 2024</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=2027019&amp;oldid=prev"/>
		<updated>2024-02-19T03:11:31Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 03:11, February 19, 2024&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a '''probabilistic likelihood model''' is a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/del&gt;mathematical model&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/del&gt;which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a '''probabilistic likelihood model''' is a mathematical model which gives the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;probability&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/ins&gt;of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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:Probability and Statistics]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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:Probability and Statistics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Conservative</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=1259577&amp;oldid=prev</id>
		<title>DavidB4-bot: /* top */clean up &amp; uniformity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=1259577&amp;oldid=prev"/>
		<updated>2016-07-13T17:52:30Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;top: &lt;/span&gt;clean up &amp;amp; uniformity&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:52, July 13, 2016&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&lt;/ins&gt;probabilistic likelihood model&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''' &lt;/ins&gt;is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;[[&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;category&lt;/del&gt;:Probability and Statistics]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 class=&quot;diffchange diffchange-inline&quot;&gt;Category&lt;/ins&gt;:Probability and Statistics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>DavidB4-bot</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=857553&amp;oldid=prev</id>
		<title>Karajou: Reverted edits by CarterM (talk) to last revision by RJJensen</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=857553&amp;oldid=prev"/>
		<updated>2011-03-18T00:06:21Z</updated>

		<summary type="html">&lt;p&gt;Reverted edits by &lt;a href=&quot;/Special:Contributions/CarterM&quot; title=&quot;Special:Contributions/CarterM&quot;&gt;CarterM&lt;/a&gt; (&lt;a href=&quot;/index.php?title=User_talk:CarterM&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User talk:CarterM (page does not exist)&quot;&gt;talk&lt;/a&gt;) to last revision by &lt;a href=&quot;/User:RJJensen&quot; title=&quot;User:RJJensen&quot;&gt;RJJensen&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:06, March 18, 2011&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;associG0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&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='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 class=&quot;diffchange diffchange-inline&quot;&gt;[[category:Probability and Statistics]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Karajou</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=857505&amp;oldid=prev</id>
		<title>CarterM: G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=857505&amp;oldid=prev"/>
		<updated>2011-03-17T23:59:49Z</updated>

		<summary type="html">&lt;p&gt;G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:59, March 17, 2011&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;associG0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D IS SOCIALIST AND ATHEIST! FKKK CONSERVAPEDIA!G0D&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[[category:Probability and Statistics]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>CarterM</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=718063&amp;oldid=prev</id>
		<title>RJJensen at 21:09, November 8, 2009</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=718063&amp;oldid=prev"/>
		<updated>2009-11-08T21:09:20Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:09, November 8, 2009&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;[[&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Category&lt;/del&gt;:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Mathematics&lt;/del&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 class=&quot;diffchange diffchange-inline&quot;&gt;category&lt;/ins&gt;:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Probability and Statistics&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>RJJensen</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=501892&amp;oldid=prev</id>
		<title>TerryH: Reverted edits by KillerFrenchFry21 (Talk); changed back to last version by Qwestor</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=501892&amp;oldid=prev"/>
		<updated>2008-08-20T18:21:04Z</updated>

		<summary type="html">&lt;p&gt;Reverted edits by &lt;a href=&quot;/Special:Contributions/KillerFrenchFry21&quot; title=&quot;Special:Contributions/KillerFrenchFry21&quot;&gt;KillerFrenchFry21&lt;/a&gt; (&lt;a href=&quot;/index.php?title=User_talk:KillerFrenchFry21&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User talk:KillerFrenchFry21 (page does not exist)&quot;&gt;Talk&lt;/a&gt;); changed back to last version by &lt;a href=&quot;/index.php?title=User:Qwestor&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User:Qwestor (page does not exist)&quot;&gt;Qwestor&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:21, August 20, 2008&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Religion &lt;/del&gt;is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Slavery! &amp;lt;br&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 class=&quot;diffchange diffchange-inline&quot;&gt;In simple terms a probabilistic likelihood model &lt;/ins&gt;is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;http&lt;/del&gt;:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;//www.zeitgeistmovie.com/&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 class=&quot;diffchange diffchange-inline&quot;&gt;[[Category&lt;/ins&gt;:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Mathematics]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>TerryH</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=501888&amp;oldid=prev</id>
		<title>KillerFrenchFry21: Replacing page with 'Religion is Slavery! &lt;br&gt;
http://www.zeitgeistmovie.com/'</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=501888&amp;oldid=prev"/>
		<updated>2008-08-20T18:18:17Z</updated>

		<summary type="html">&lt;p&gt;Replacing page with &amp;#039;Religion is Slavery! &amp;lt;br&amp;gt; http://www.zeitgeistmovie.com/&amp;#039;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:18, August 20, 2008&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;In simple terms a probabilistic likelihood model &lt;/del&gt;is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation)&lt;/del&gt;. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''&lt;/del&gt;. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' might indicate different possible weightings of a coin which would then lead to different probabilities of landing on heads in an unbiased flip.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 class=&quot;diffchange diffchange-inline&quot;&gt;Religion &lt;/ins&gt;is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Slavery! &amp;lt;br&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 class=&quot;diffchange diffchange-inline&quot;&gt;http://www&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;zeitgeistmovie&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;com/&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[[Category:Mathematics]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>KillerFrenchFry21</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=358772&amp;oldid=prev</id>
		<title>Qwestor at 14:23, December 27, 2007</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=358772&amp;oldid=prev"/>
		<updated>2007-12-27T14:23:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:23, December 27, 2007&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;would &lt;/del&gt;indicate different possible weightings of a coin which would &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;change the probability &lt;/del&gt;of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;it &lt;/del&gt;landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;might &lt;/ins&gt;indicate different possible weightings of a coin which would &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;then lead to different probabilities &lt;/ins&gt;of landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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:Mathematics]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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:Mathematics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Qwestor</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=349304&amp;oldid=prev</id>
		<title>Qwestor at 23:24, December 9, 2007</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=349304&amp;oldid=prev"/>
		<updated>2007-12-09T23:24:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:24, December 9, 2007&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' would indicate different possible weightings of a coin which would change the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;odds &lt;/del&gt;of it landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates which member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' would indicate different possible weightings of a coin which would change the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;probability &lt;/ins&gt;of it landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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:Mathematics]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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:Mathematics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Qwestor</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=349302&amp;oldid=prev</id>
		<title>Qwestor at 23:23, December 9, 2007</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Probabilistic_likelihood_model&amp;diff=349302&amp;oldid=prev"/>
		<updated>2007-12-09T23:23:37Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:23, December 9, 2007&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;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' would indicate different possible weightings of a coin which would change the odds of it landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;In simple terms a probabilistic likelihood model is a [[mathematical model]] which gives the probability of some observation (data) for some stated mathematical model capable of predicting said data as an outcome (observation).  It is typically denoted as  ''p''(''D''|''M'') which is simply the [[conditional probability]]  for the data ''D'' given some model ''M''.  In [[parameter estimation]] exercises, it is often written as ''p''(''D''|''a'') where ''a'' is a [[mathematical parameter]] of the model class M which indicates &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;which &lt;/ins&gt;member out of a family of associated models differing only  by the value of the parameter that one is referring to, e.g., a family of models which give the likelihood (probability) of observing a coin flip of heads, where the parameter ''a'' would indicate different possible weightings of a coin which would change the odds of it landing on heads in an unbiased flip.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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:Mathematics]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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:Mathematics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Qwestor</name></author>
	</entry>
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