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1 ## Copyright (C) 1995, 1996, 1997, 1998, 2000, 2001, 2002, 2003, 2005, |
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2 ## 2006, 2007 Kurt Hornik |
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3 ## |
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4 ## This file is part of Octave. |
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5 ## |
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6 ## Octave is free software; you can redistribute it and/or modify it |
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7 ## under the terms of the GNU General Public License as published by |
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8 ## the Free Software Foundation; either version 3 of the License, or (at |
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9 ## your option) any later version. |
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10 ## |
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11 ## Octave is distributed in the hope that it will be useful, but |
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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14 ## General Public License for more details. |
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15 ## |
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16 ## You should have received a copy of the GNU General Public License |
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17 ## along with Octave; see the file COPYING. If not, see |
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18 ## <http://www.gnu.org/licenses/>. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {[@var{q}, @var{s}] =} qqplot (@var{x}, @var{dist}, @var{params}) |
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22 ## Perform a QQ-plot (quantile plot). |
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23 ## |
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24 ## If F is the CDF of the distribution @var{dist} with parameters |
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25 ## @var{params} and G its inverse, and @var{x} a sample vector of length |
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26 ## @var{n}, the QQ-plot graphs ordinate @var{s}(@var{i}) = @var{i}-th |
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27 ## largest element of x versus abscissa @var{q}(@var{i}f) = G((@var{i} - |
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28 ## 0.5)/@var{n}). |
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29 ## |
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30 ## If the sample comes from F except for a transformation of location |
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31 ## and scale, the pairs will approximately follow a straight line. |
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32 ## |
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33 ## The default for @var{dist} is the standard normal distribution. The |
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34 ## optional argument @var{params} contains a list of parameters of |
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35 ## @var{dist}. For example, for a quantile plot of the uniform |
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36 ## distribution on [2,4] and @var{x}, use |
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37 ## |
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38 ## @example |
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39 ## qqplot (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_inv} |
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44 ## that calculates the inverse CDF of distribution @var{dist} exists. |
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45 ## |
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46 ## If no output arguments are given, the data are plotted directly. |
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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 QQ-plot (quantile plot) |
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51 |
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52 function [q, s] = qqplot (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 ("qqplot: 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 t = ((1 : n)' - .5) / n; |
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65 if (nargin == 1) |
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66 f = @stdnormal_inv; |
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67 else |
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68 f = str2func (sprintf ("%s_inv", dist)); |
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69 endif; |
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70 if (nargin <= 2) |
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71 q = feval (f, t); |
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72 q_label = func2str (f); |
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73 else |
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74 q = feval (f, t, varargin{:}); |
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75 if (nargin > 3) |
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76 tmp = sprintf (", %g", varargin{2:end}); |
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77 else |
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78 tmp = ""; |
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79 endif |
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80 q_label = sprintf ("%s with parameter(s) %g%s", func2str (f), |
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81 varargin{1}, tmp); |
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82 endif |
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83 |
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84 if (nargout == 0) |
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85 plot (q, s); |
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86 xlabel (q_label); |
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87 ylabel ("sample points"); |
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88 endif |
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89 |
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90 endfunction |
