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
|
## Copyright (C) 1995-2013 Kurt Hornik
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or (at
## your option) any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING. If not, see
## <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {[@var{p}, @var{y}] =} ppplot (@var{x}, @var{dist}, @var{params})
## Perform a PP-plot (probability plot).
##
## If F is the CDF of the distribution @var{dist} with parameters
## @var{params} and @var{x} a sample vector of length @var{n}, the
## PP-plot graphs ordinate @var{y}(@var{i}) = F (@var{i}-th largest
## element of @var{x}) versus abscissa @var{p}(@var{i}) = (@var{i} -
## 0.5)/@var{n}. If the sample comes from F, the pairs will
## approximately follow a straight line.
##
## The default for @var{dist} is the standard normal distribution. The
## optional argument @var{params} contains a list of parameters of
## @var{dist}. For example, for a probability plot of the uniform
## distribution on [2,4] and @var{x}, use
##
## @example
## ppplot (x, "uniform", 2, 4)
## @end example
##
## @noindent
## @var{dist} can be any string for which a function @var{dist_cdf}
## that calculates the CDF of distribution @var{dist} exists.
##
## If no output arguments are given, the data are plotted directly.
## @end deftypefn
## Author: KH <Kurt.Hornik@wu-wien.ac.at>
## Description: Perform a PP-plot (probability plot)
function [p, y] = ppplot (x, dist, varargin)
if (nargin < 1)
print_usage ();
endif
if (! isvector (x))
error ("ppplot: X must be a vector");
endif
s = sort (x);
n = length (x);
p = ((1 : n)' - 0.5) / n;
if (nargin == 1)
F = @stdnormal_cdf;
else
F = str2func (sprintf ("%scdf", dist));
endif;
if (nargin <= 2)
y = feval (F, s);
else
y = feval (F, s, varargin{:});
endif
if (nargout == 0)
plot (p, y);
axis ([0, 1, 0, 1]);
endif
endfunction
%% Test input validation
%!error ppplot ()
%!error ppplot (ones (2,2))
|
