how to perform a wilcoxon rank-sum test in matlab

The Wilcoxon rank-sum test is a non-parametric test used to compare two independent samples. In Matlab, you can perform the Wilcoxon rank-sum test using the ranksum function.

The basic syntax of the ranksum function is:

main.m
[p,h,stats] = ranksum(x,y)
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where x and y are the two independent samples, and p is the p-value of the test, h is the test decision (0 if the null hypothesis cannot be rejected and 1 if it can be rejected), and stats is a structure containing additional statistical information.

Here's an example of how to use ranksum in Matlab:

main.m
% Generate two independent samples of random data
x = randn(50,1) + 1;
y = randn(50,1) - 1;

% Perform Wilcoxon rank-sum test
[p,h,stats] = ranksum(x,y);

% Display the results
disp(['p-value: ' num2str(p)]);
if h == 1
    disp('Reject null hypothesis - the two samples are significantly different.');
else
    disp('Fail to reject null hypothesis - the two samples are not significantly different.');
end
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In this example, we generate two independent samples of data (with different means), and then perform the Wilcoxon rank-sum test using the ranksum function. Finally, we display the p-value and the test decision.