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annotate scripts/statistics/base/ppplot.m @ 20818:9d2023d1a63c

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binoinv.m: Implement binary search algorithm for 28X performance increase (bug #34363). * binoinv.m: Call new functions scalar_binoinv or vector_binoinv to calculate binoinv. If there are still uncalculated values then call bin_search_binoinv to perform binary search for remaining values. Add more BIST tests. * binoinv.m (scalar_binoinv): New subfunction to calculate binoinv for scalar x. Stops when x > 1000. * binoinv.m (vector_binoinv): New subfunction to calculate binoinv for scalar x. Stops when x > 1000.
author Lachlan Andrew <lachlanbis@gmail.com>
date Sun, 11 Oct 2015 19:49:40 -0700
parents d9341b422488
children
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4197fc428c7d maint: Update copyright notices for 2015.
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1 ## Copyright (C) 1995-2015 Kurt Hornik
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {[@var{p}, @var{y}] =} ppplot (@var{x}, @var{dist}, @var{params})
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21 ## Perform a PP-plot (probability plot).
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22 ##
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23 ## If F is the CDF of the distribution @var{dist} with parameters
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24 ## @var{params} and @var{x} a sample vector of length @var{n}, the PP-plot
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25 ## graphs ordinate @var{y}(@var{i}) = F (@var{i}-th largest element of
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26 ## @var{x}) versus abscissa @var{p}(@var{i}) = (@var{i} - 0.5)/@var{n}. If
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27 ## the sample comes from F, the pairs will approximately follow a straight
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28 ## line.
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29 ##
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30 ## The default for @var{dist} is the standard normal distribution.
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31 ##
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32 ## The optional argument @var{params} contains a list of parameters of
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33 ## @var{dist}.
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34 ##
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35 ## For example, for a probability plot of the uniform distribution on [2,4]
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36 ## and @var{x}, use
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37 ##
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38 ## @example
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39 ## ppplot (x, "uniform", 2, 4)
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40 ## @end example
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41 ##
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42 ## @noindent
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43 ## @var{dist} can be any string for which a function @var{dist_cdf} that
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44 ## calculates the CDF of distribution @var{dist} exists.
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45 ##
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46 ## If no output is requested then the data are plotted immediately.
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47 ## @end deftypefn
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48
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49 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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50 ## Description: Perform a PP-plot (probability plot)
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51
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52 function [p, y] = ppplot (x, dist, varargin)
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53
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54 if (nargin < 1)
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55 print_usage ();
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56 endif
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57
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58 if (! isvector (x))
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59 error ("ppplot: X must be a vector");
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60 endif
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61
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62 s = sort (x);
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63 n = length (x);
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64 p = ((1 : n)' - 0.5) / n;
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65 if (nargin == 1)
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66 F = @stdnormal_cdf;
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67 else
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68 F = str2func (sprintf ("%scdf", dist));
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69 endif;
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70 if (nargin <= 2)
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71 y = feval (F, s);
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72 else
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73 y = feval (F, s, varargin{:});
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74 endif
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75
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76 if (nargout == 0)
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77 plot (p, y);
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78 axis ([0, 1, 0, 1]);
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79 endif
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80
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81 endfunction
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84 ## Test input validation
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85 %!error ppplot ()
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86 %!error ppplot (ones (2,2))
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87