X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Ftests%2Fprop_test_2.m;fp=octave_packages%2Fm%2Fstatistics%2Ftests%2Fprop_test_2.m;h=072a24dc9115ab97f379e69db9981ed4a4c2fdc6;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/statistics/tests/prop_test_2.m b/octave_packages/m/statistics/tests/prop_test_2.m new file mode 100644 index 0000000..072a24d --- /dev/null +++ b/octave_packages/m/statistics/tests/prop_test_2.m @@ -0,0 +1,80 @@ +## Copyright (C) 1996-2012 Kurt Hornik +## +## This file is part of Octave. +## +## Octave is free software; you can redistribute it and/or modify it +## under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3 of the License, or (at +## your option) any later version. +## +## Octave is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {[@var{pval}, @var{z}] =} prop_test_2 (@var{x1}, @var{n1}, @var{x2}, @var{n2}, @var{alt}) +## If @var{x1} and @var{n1} are the counts of successes and trials in +## one sample, and @var{x2} and @var{n2} those in a second one, test the +## null hypothesis that the success probabilities @var{p1} and @var{p2} +## are the same. Under the null, the test statistic @var{z} +## approximately follows a standard normal distribution. +## +## With the optional argument string @var{alt}, the alternative of +## interest can be selected. If @var{alt} is @code{"!="} or +## @code{"<>"}, the null is tested against the two-sided alternative +## @var{p1} != @var{p2}. If @var{alt} is @code{">"}, the one-sided +## alternative @var{p1} > @var{p2} is used. Similarly for @code{"<"}, +## the one-sided alternative @var{p1} < @var{p2} is used. +## The default is the two-sided case. +## +## The p-value of the test is returned in @var{pval}. +## +## If no output argument is given, the p-value of the test is displayed. +## @end deftypefn + +## Author: KH +## Description: Compare two proportions + +function [pval, z] = prop_test_2 (x1, n1, x2, n2, alt) + + if ((nargin < 4) || (nargin > 5)) + print_usage (); + endif + + ## Could do sanity checking on x1, n1, x2, n2 here + + p1 = x1 / n1; + p2 = x2 / n2; + pc = (x1 + x2) / (n1 + n2); + + z = (p1 - p2) / sqrt (pc * (1 - pc) * (1/n1 + 1/n2)); + + cdf = stdnormal_cdf (z); + + if (nargin == 4) + alt = "!="; + endif + + if (! ischar (alt)) + error ("prop_test_2: ALT must be a string"); + endif + if (strcmp (alt, "!=") || strcmp (alt, "<>")) + pval = 2 * min (cdf, 1 - cdf); + elseif strcmp (alt, ">") + pval = 1 - cdf; + elseif strcmp (alt, "<") + pval = cdf; + else + error ("prop_test_2: option %s not recognized", alt); + endif + + if (nargout == 0) + printf (" pval: %g\n", pval); + endif + +endfunction