https://ideawaza.com/api.php?action=feedcontributions&feedformat=atom&user=216.153.143.214 2026-09-29T23:13:48Z User contributions MediaWiki 1.46.0 https://ideawaza.com/index.php?title=Revising_opinions_in_statistics&diff=59917 2005-01-21T20:33:54Z

<p>216.153.143.214: typo (distribtion -&gt; distribution)</p> <hr /> <div>Researchers who use [[personal probability]] can proceed as follows:<br /> <br /> *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. <br /> <br /> *The researcher describes his opinion of a [[prior probability|prior]] distribution for the unknown [[parameter]]s of the model. So the prior distribution of the unknown mean might be a [[normal distribution]] centered at 10 with a [[standard deviation]] of 2. <br /> <br /> *The data is then observed, and with the [[likelihood function]] of the observed data and the probabilistic description of his opinion, the researcher can calculate (using [[Bayes' theorem]]) the appropriate opinion consistent with both sources of information. This is called the [[posterior probability|posterior]] distribution. <br /> <br /> ==See also==<br /> <br /> [[statistical theory]] -- [[applied statistics]].</div>

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