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1 ## Copyright (C) 1995, 1996, 1997 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{pval}, @var{f}, @var{df_num}, @var{df_den}] =} var_test (@var{x}, @var{y}, @var{alt}) |
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21 ## For two samples @var{x} and @var{y} from normal distributions with |
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22 ## unknown means and unknown variances, perform an F-test of the null |
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23 ## hypothesis of equal variances. Under the null, the test statistic |
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24 ## @var{f} follows an F-distribution with @var{df_num} and @var{df_den} |
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25 ## degrees of freedom. |
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26 ## |
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27 ## With the optional argument string @var{alt}, the alternative of |
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28 ## interest can be selected. If @var{alt} is @code{"!="} or |
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29 ## @code{"<>"}, the null is tested against the two-sided alternative |
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30 ## @code{var (@var{x}) != var (@var{y})}. If @var{alt} is @code{">"}, |
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31 ## the one-sided alternative @code{var (@var{x}) > var (@var{y})} is |
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32 ## used. Similarly for "<", the one-sided alternative @code{var |
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33 ## (@var{x}) > var (@var{y})} is used. The default is the two-sided |
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34 ## case. |
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35 ## |
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36 ## The p-value of the test is returned in @var{pval}. |
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37 ## |
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38 ## If no output argument is given, the p-value of the test is displayed. |
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39 ## @end deftypefn |
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40 |
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41 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
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42 ## Description: F test to compare two variances |
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43 |
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44 function [pval, f, df_num, df_den] = var_test (x, y, alt) |
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45 |
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46 if ((nargin < 2) || (nargin > 3)) |
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47 print_usage (); |
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48 endif |
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49 |
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50 if (! (isvector (x) && isvector (y))) |
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51 error ("var_test: both x and y must be vectors"); |
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52 endif |
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53 |
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54 df_num = length (x) - 1; |
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55 df_den = length (y) - 1; |
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56 f = var (x) / var (y); |
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57 cdf = f_cdf (f, df_num, df_den); |
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58 |
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59 if (nargin == 2) |
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60 alt = "!="; |
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61 endif |
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62 |
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63 if (! ischar (alt)) |
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64 error ("var_test: alt must be a string"); |
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65 endif |
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66 if (strcmp (alt, "!=") || strcmp (alt, "<>")) |
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67 pval = 2 * min (cdf, 1 - cdf); |
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68 elseif (strcmp (alt, ">")) |
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69 pval = 1 - cdf; |
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70 elseif (strcmp (alt, "<")) |
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71 pval = cdf; |
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72 else |
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73 error ("var_test: option %s not recognized", alt); |
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74 endif |
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75 |
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76 if (nargout == 0) |
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77 printf ("pval: %g\n", pval); |
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78 endif |
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79 |
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80 endfunction |
