1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
|
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 The GSL Team.
Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.3 or
any later version published by the Free Software Foundation; with no
Invariant Sections and no cover texts. A copy of the license is
included in the section entitled "GNU Free Documentation License". -->
<!-- Created by GNU Texinfo 5.1, http://www.gnu.org/software/texinfo/ -->
<head>
<title>GNU Scientific Library – Reference Manual: Absolute deviation</title>
<meta name="description" content="GNU Scientific Library – Reference Manual: Absolute deviation">
<meta name="keywords" content="GNU Scientific Library – Reference Manual: Absolute deviation">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<link href="index.html#Top" rel="start" title="Top">
<link href="Function-Index.html#Function-Index" rel="index" title="Function Index">
<link href="Statistics.html#Statistics" rel="up" title="Statistics">
<link href="Higher-moments-_0028skewness-and-kurtosis_0029.html#Higher-moments-_0028skewness-and-kurtosis_0029" rel="next" title="Higher moments (skewness and kurtosis)">
<link href="Mean-and-standard-deviation-and-variance.html#Mean-and-standard-deviation-and-variance" rel="previous" title="Mean and standard deviation and variance">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.indentedblock {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
div.smalllisp {margin-left: 3.2em}
kbd {font-style:oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: inherit; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: inherit; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.nocodebreak {white-space:nowrap}
span.nolinebreak {white-space:nowrap}
span.roman {font-family:serif; font-weight:normal}
span.sansserif {font-family:sans-serif; font-weight:normal}
ul.no-bullet {list-style: none}
-->
</style>
</head>
<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Absolute-deviation"></a>
<div class="header">
<p>
Next: <a href="Higher-moments-_0028skewness-and-kurtosis_0029.html#Higher-moments-_0028skewness-and-kurtosis_0029" accesskey="n" rel="next">Higher moments (skewness and kurtosis)</a>, Previous: <a href="Mean-and-standard-deviation-and-variance.html#Mean-and-standard-deviation-and-variance" accesskey="p" rel="previous">Mean and standard deviation and variance</a>, Up: <a href="Statistics.html#Statistics" accesskey="u" rel="up">Statistics</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Absolute-deviation-1"></a>
<h3 class="section">21.2 Absolute deviation</h3>
<dl>
<dt><a name="index-gsl_005fstats_005fabsdev"></a>Function: <em>double</em> <strong>gsl_stats_absdev</strong> <em>(const double <var>data</var>[], size_t <var>stride</var>, size_t <var>n</var>)</em></dt>
<dd><p>This function computes the absolute deviation from the mean of
<var>data</var>, a dataset of length <var>n</var> with stride <var>stride</var>. The
absolute deviation from the mean is defined as,
where <em>x_i</em> are the elements of the dataset <var>data</var>. The
absolute deviation from the mean provides a more robust measure of the
width of a distribution than the variance. This function computes the
mean of <var>data</var> via a call to <code>gsl_stats_mean</code>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fstats_005fabsdev_005fm"></a>Function: <em>double</em> <strong>gsl_stats_absdev_m</strong> <em>(const double <var>data</var>[], size_t <var>stride</var>, size_t <var>n</var>, double <var>mean</var>)</em></dt>
<dd><p>This function computes the absolute deviation of the dataset <var>data</var>
relative to the given value of <var>mean</var>,
This function is useful if you have already computed the mean of
<var>data</var> (and want to avoid recomputing it), or wish to calculate the
absolute deviation relative to another value (such as zero, or the
median).
</p></dd></dl>
</body>
</html>
|
