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	<updated>2026-09-30T09:03:52Z</updated>
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	<entry>
		<id>https://ideawaza.com/index.php?title=Revising_opinions_in_statistics&amp;diff=59911</id>
		<title>Revising opinions in statistics</title>
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		<updated>2002-04-20T08:26:14Z</updated>

		<summary type="html">&lt;p&gt;213.253.40.133: fixing Bayes&amp;#039; theorem link&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Researchers who use [[personal probability]] can proceed as follows:&lt;br /&gt;
#A [[statistical model]] for the data generating process is assumed. The model might specify that the data follows a normal distribution with an unknown mean. &lt;br /&gt;
#The researcher describes his opinion about the unknown mean as having a [[normal distribution]] centered at 10 with a [[standard deviation]] of 2. This would be called the researcher&#039;s &#039;&#039;&#039;prior&#039;&#039;&#039; distribution for the mean.&lt;br /&gt;
#With the [[likelihood function]] of the observed data and the probabilistic description of his opinion, the researcher can calculate (using [[Bayes&#039; theorem]]) the appropriate opinion consistent with both sources of information. This is called the &#039;&#039;&#039;posterior&#039;&#039;&#039; distribution.&lt;br /&gt;
&lt;br /&gt;
back to [[statistical theory]] -- [[applied statistics]]&lt;/div&gt;</summary>
		<author><name>213.253.40.133</name></author>
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