You can test rank correlation of two waves using the operation StatsRankCorrelationTest. In the first example we consider the two random waves shown in the figure below

To run the test execute the command:

The results are displayed in the Rank-Correlation Test table:

The Spearman rank correlation coefficient (SpearmanR) is smaller than the critical value so we accept H₀, i.e., that there is no correlation between the two waves.

By comparison, you can run the parametric test using the command:

results in:

Since F < Fc2 we accept H₀ corresponding to no rank-correlation between data1 and data2.

The next example shows correlated waves:

The results are displayed in the Rank-Correlation Test table:

With SpearmanR > Critical value we clearly reject H₀ and conclude that data3 and data4 are rank-correlated. If we now compare with the parametric test:

The results of the parametric test are:

In this case F > Fc2 and we again reject H₀ (no correlation) and conclude that the two waves are correlated.