<?xml version="1.0" encoding="UTF-8"?>

<record version="4" id="9497">
 <title>degrees of freedom</title>
 <name>DegreesOfFreedom</name>
 <created>2007-06-01 19:34:35</created>
 <modified>2008-10-19 19:34:47</modified>
 <type>Definition</type>
 <creator id="1863" name="Wkbj79"/>
 <author id="20947" name="bci1"/>
 <author id="1863" name="Wkbj79"/>
 <classification>
	<category scheme="msc" code="60E05"/>
	<category scheme="msc" code="62A01"/>
 </classification>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{pstricks}
\usepackage{psfrag}
\usepackage{graphicx}
\usepackage{amsthm}
\usepackage{xypic}
</preamble>
 <content>\PMlinkescapeword{distribution}

The number of \emph{degrees of freedom} of a \PMlinkname{distribution}{Distribution3} is the number of parameters that are used to \PMlinkescapetext{calculate} the value of the distribution and are either known or assumed to be independent.

The following use degrees of freedom:

\begin{itemize}
\item chi-squared random variable
\item chi-squared statistic
\item F distribution
\item non-central chi-squared random variable
\item t distribution
\end{itemize}

{\bf Remark:}
The number of \emph{degrees of freedom} has also a physical meaning
related to the possible directions of motion of the system.</content>
</record>
