Propability of x being less than y

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I have a few pairs of data points (x,y)(less than 20).
How can I calculate the overall probability of x being less than y?
The differences of x and y range from -500 to 500.
I need the p-value(null hypothesis being that the difference is 0.) and the uncertainty boundaries for the difference x-y.

Accepted Answer

Chunru
Chunru on 7 Jul 2022
Edited: Torsten on 7 Jul 2022
In statistics toolbox, you can do the following:
x = randn(20, 2) * 200;
[h, pvalue, ci] = ttest2(x(:, 1), x(:, 2))

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