% -*- texinfo -*- % @deftypefn {Function File} {[@var{pval}, @var{ks}, @var{d}] =} kolmogorov_smirnov_test_2 (@var{x}, @var{y}, @var{alt}) % Perform a 2-sample Kolmogorov-Smirnov test of the null hypothesis % that the samples @var{x} and @var{y} come from the same (continuous) % distribution. I.e., if F and G are the CDFs corresponding to the % @var{x} and @var{y} samples, respectively, then the null is that F == % G. % % 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 F % ~= G. In this case, the test statistic @var{ks} follows a two-sided % Kolmogorov-Smirnov distribution. If @var{alt} is @code{'>'}, the % one-sided alternative F > G is considered. Similarly for @code{'<'}, % the one-sided alternative F < G is considered. In this case, the % test statistic @var{ks} has a one-sided Kolmogorov-Smirnov % distribution. The default is the two-sided case. % % The p-value of the test is returned in @var{pval}. % % The third returned value, @var{d}, is the test statistic, the maximum % vertical distance between the two cumulative distribution functions. % % If no output argument is given, the p-value is displayed. % @end deftypefn

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