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| author | Anas Nashif <anas.nashif@intel.com> | 2012-10-30 12:57:26 -0700 |
|---|---|---|
| committer | Anas Nashif <anas.nashif@intel.com> | 2012-10-30 12:57:26 -0700 |
| commit | 1a78a62555be32868418fe52f8e330c9d0f95d5a (patch) | |
| tree | d3765a80e7d3b9640ec2e930743630cd6b9fce2b /libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/parameters.html | |
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Imported Upstream version 1.49.0upstream/1.49.0
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diff --git a/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/parameters.html b/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/parameters.html new file mode 100644 index 0000000000..ed43380eee --- /dev/null +++ b/libs/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview/parameters.html @@ -0,0 +1,72 @@ +<html> +<head> +<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> +<title>Parameters can be calculated</title> +<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css"> +<meta name="generator" content="DocBook XSL Stylesheets V1.76.1"> +<link rel="home" href="../../../../index.html" title="Math Toolkit"> +<link rel="up" href="../overview.html" title="Overview of Distributions"> +<link rel="prev" href="complements.html" title="Complements are supported too - and when to use them"> +<link rel="next" href="summary.html" title="Summary"> +</head> +<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> +<table cellpadding="2" width="100%"><tr> +<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../../boost.png"></td> +<td align="center"><a href="../../../../../../../../../index.html">Home</a></td> +<td align="center"><a href="../../../../../../../../../libs/libraries.htm">Libraries</a></td> +<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> +<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> +<td align="center"><a href="../../../../../../../../../more/index.htm">More</a></td> +</tr></table> +<hr> +<div class="spirit-nav"> +<a accesskey="p" href="complements.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../overview.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="summary.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a> +</div> +<div class="section math_toolkit_dist_stat_tut_overview_parameters"> +<div class="titlepage"><div><div><h5 class="title"> +<a name="math_toolkit.dist.stat_tut.overview.parameters"></a><a class="link" href="parameters.html" title="Parameters can be calculated">Parameters + can be calculated</a> +</h5></div></div></div> +<p> + Sometimes it's the parameters that define the distribution that you need + to find. Suppose, for example, you have conducted a Students-t test for + equal means and the result is borderline. Maybe your two samples differ + from each other, or maybe they don't; based on the result of the test + you can't be sure. A legitimate question to ask then is "How many + more measurements would I have to take before I would get an X% probability + that the difference is real?" Parameter finders can answer questions + like this, and are necessarily different for each distribution. They + are implemented as static member functions of the distributions, for + example: + </p> +<pre class="programlisting"><span class="identifier">students_t</span><span class="special">::</span><span class="identifier">find_degrees_of_freedom</span><span class="special">(</span> + <span class="number">1.3</span><span class="special">,</span> <span class="comment">// difference from true mean to detect</span> + <span class="number">0.05</span><span class="special">,</span> <span class="comment">// maximum risk of falsely rejecting the null-hypothesis.</span> + <span class="number">0.1</span><span class="special">,</span> <span class="comment">// maximum risk of falsely failing to reject the null-hypothesis.</span> + <span class="number">0.13</span><span class="special">);</span> <span class="comment">// sample standard deviation</span> +</pre> +<p> + Returns the number of degrees of freedom required to obtain a 95% probability + that the observed differences in means is not down to chance alone. In + the case that a borderline Students-t test result was previously obtained, + this can be used to estimate how large the sample size would have to + become before the observed difference was considered significant. It + assumes, of course, that the sample mean and standard deviation are invariant + with sample size. + </p> +</div> +<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> +<td align="left"></td> +<td align="right"><div class="copyright-footer">Copyright © 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno + Lalande, Johan Råde, Gautam Sewani and Thijs van den Berg<p> + Distributed under the Boost Software License, Version 1.0. (See accompanying + file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) + </p> +</div></td> +</tr></table> +<hr> +<div class="spirit-nav"> +<a accesskey="p" href="complements.html"><img src="../../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../overview.html"><img src="../../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="summary.html"><img src="../../../../../../../../../doc/src/images/next.png" alt="Next"></a> +</div> +</body> +</html> |