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annotate scripts/statistics/tests/chisquare_test_independence.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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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{pval}, @var{chisq}, @var{df}] =} chisquare_test_independence (@var{x})
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21 ## Perform a chi-square test for independence based on the contingency table
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22 ## @var{x}.
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23 ##
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24 ## Under the null hypothesis of independence, @var{chisq} approximately has a
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25 ## chi-square distribution with @var{df} degrees of freedom.
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26 ##
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27 ## The p-value (1 minus the CDF of this distribution at chisq) of the test is
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28 ## returned in @var{pval}.
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29 ##
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30 ## If no output argument is given, the p-value is displayed.
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31 ## @end deftypefn
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33 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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34 ## Description: Chi-square test for independence
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36 function [pval, chisq, df] = chisquare_test_independence (x)
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38 if (nargin != 1)
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39 print_usage ();
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40 endif
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42 [r, s] = size (x);
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43 df = (r - 1) * (s - 1);
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44 n = sum (sum (x));
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45 y = sum (x')' * sum (x) / n;
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46 x = (x - y) .^2 ./ y;
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47 chisq = sum (sum (x));
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48 pval = 1 - chi2cdf (chisq, df);
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50 if (nargout == 0)
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51 printf (" pval: %g\n", pval);
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52 endif
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54 endfunction
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