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1 ## Copyright (C) 1995, 1996, 1997 Kurt Hornik |
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2 ## |
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3 ## This program is free software; you can redistribute it and/or modify |
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4 ## it under the terms of the GNU General Public License as published by |
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5 ## the Free Software Foundation; either version 2, or (at your option) |
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6 ## any later version. |
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7 ## |
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8 ## This program is distributed in the hope that it will be useful, but |
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9 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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11 ## General Public License for more details. |
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12 ## |
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13 ## You should have received a copy of the GNU General Public License |
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14 ## along with this file. If not, write to the Free Software Foundation, |
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15 ## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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16 |
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17 ## -*- texinfo -*- |
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18 ## @deftypefn {Function File} {[@var{p}, @var{y}] =} ppplot (@var{x}, @var{dist}, @var{params}) |
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19 ## Perform a PP-plot (probability plot). |
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20 ## |
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21 ## If F is the CDF of the distribution @var{dist} with parameters |
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22 ## @var{params} and @var{x} a sample vector of length @var{n}, the |
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23 ## PP-plot graphs ordinate @var{y}(@var{i}) = F (@var{i}-th largest |
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24 ## element of @var{x}) versus abscissa @var{p}(@var{i}) = (@var{i} - |
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25 ## 0.5)/@var{n}. If the sample comes from F, the pairs will |
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26 ## approximately follow a straight line. |
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27 ## |
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28 ## The default for @var{dist} is the standard normal distribution. The |
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29 ## optional argument @var{params} contains a list of parameters of |
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30 ## @var{dist}. For example, for a probability plot of the uniform |
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31 ## distribution on [2,4] and @var{x}, use |
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32 ## |
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33 ## @example |
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34 ## ppplot (x, "uniform", 2, 4) |
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35 ## @end example |
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36 ## |
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37 ## If no output arguments are given, the data are plotted directly. |
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38 ## @end deftypefn |
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39 |
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40 ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at> |
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41 ## Description: Perform a PP-plot (probability plot) |
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42 |
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43 function [p, y] = ppplot (x, dist, ...) |
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44 |
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45 if (nargin < 1) |
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46 usage ("ppplot (x, dist, params)"); |
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47 endif |
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48 |
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49 if (! is_vector (x)) |
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50 error ("ppplot: x must be a vector"); |
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51 endif |
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52 |
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53 s = sort (x); |
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54 n = length (x); |
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55 p = ((1 : n)' - 0.5) / n; |
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56 if (nargin == 1) |
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57 F = "stdnormal_cdf"; |
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58 else |
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59 F = sprintf ("%s_cdf", dist); |
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60 endif; |
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61 if (nargin <= 2) |
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62 y = feval (F, s); |
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63 else |
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64 y = feval (F, s, all_va_args); |
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65 endif |
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66 |
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67 if (nargout == 0) |
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68 axis ([0, 1, 0, 1]); |
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69 gset nokey; |
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70 plot (p, y); |
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71 endif |
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72 |
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73 endfunction |
