Mercurial > hg > octave-lyh
annotate scripts/statistics/base/ppplot.m @ 11523:fd0a3ac60b0e
update copyright notices
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 14 Jan 2011 05:47:45 -0500 |
parents | e151e23f73bc |
children | 6b2f14af2360 |
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11523 | 1 ## Copyright (C) 1995-2011 Kurt Hornik |
3426 | 2 ## |
3922 | 3 ## This file is part of Octave. |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
3426 | 9 ## |
3922 | 10 ## Octave is distributed in the hope that it will be useful, but |
3200 | 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
3426 | 13 ## General Public License for more details. |
14 ## | |
3200 | 15 ## You should have received a copy of the GNU General Public License |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
3200 | 18 |
3453 | 19 ## -*- texinfo -*- |
20 ## @deftypefn {Function File} {[@var{p}, @var{y}] =} ppplot (@var{x}, @var{dist}, @var{params}) | |
21 ## Perform a PP-plot (probability plot). | |
3200 | 22 ## |
3453 | 23 ## If F is the CDF of the distribution @var{dist} with parameters |
24 ## @var{params} and @var{x} a sample vector of length @var{n}, the | |
25 ## PP-plot graphs ordinate @var{y}(@var{i}) = F (@var{i}-th largest | |
26 ## element of @var{x}) versus abscissa @var{p}(@var{i}) = (@var{i} - | |
27 ## 0.5)/@var{n}. If the sample comes from F, the pairs will | |
28 ## approximately follow a straight line. | |
3200 | 29 ## |
3453 | 30 ## The default for @var{dist} is the standard normal distribution. The |
31 ## optional argument @var{params} contains a list of parameters of | |
32 ## @var{dist}. For example, for a probability plot of the uniform | |
33 ## distribution on [2,4] and @var{x}, use | |
34 ## | |
35 ## @example | |
36 ## ppplot (x, "uniform", 2, 4) | |
37 ## @end example | |
3200 | 38 ## |
6754 | 39 ## @noindent |
40 ## @var{dist} can be any string for which a function @var{dist_cdf} | |
41 ## that calculates the CDF of distribution @var{dist} exists. | |
42 ## | |
3200 | 43 ## If no output arguments are given, the data are plotted directly. |
3453 | 44 ## @end deftypefn |
3200 | 45 |
5428 | 46 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
3456 | 47 ## Description: Perform a PP-plot (probability plot) |
3200 | 48 |
3979 | 49 function [p, y] = ppplot (x, dist, varargin) |
3426 | 50 |
3200 | 51 if (nargin < 1) |
6046 | 52 print_usage (); |
3200 | 53 endif |
3426 | 54 |
4030 | 55 if (! isvector (x)) |
11436
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
7017
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changeset
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56 error ("ppplot: X must be a vector"); |
3200 | 57 endif |
58 | |
59 s = sort (x); | |
60 n = length (x); | |
61 p = ((1 : n)' - 0.5) / n; | |
62 if (nargin == 1) | |
4348 | 63 F = @stdnormal_cdf; |
3200 | 64 else |
11436
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
7017
diff
changeset
|
65 F = str2func (sprintf ("%scdf", dist)); |
3200 | 66 endif; |
67 if (nargin <= 2) | |
68 y = feval (F, s); | |
69 else | |
3979 | 70 y = feval (F, s, varargin{:}); |
3200 | 71 endif |
3426 | 72 |
3200 | 73 if (nargout == 0) |
6447 | 74 plot (p, y); |
3200 | 75 axis ([0, 1, 0, 1]); |
76 endif | |
77 | |
78 endfunction | |
11436
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
7017
diff
changeset
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79 |
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
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changeset
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80 %% Test input validation |
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
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changeset
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81 %!error ppplot (); |
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
7017
diff
changeset
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82 %!error ppplot (ones(2,2)); |
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
7017
diff
changeset
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83 |