The rank randomization test for association is equivalent to the randomization test for Pearson's r except that the numbers are converted to ranks before the analysis is done. The approach is to consi...The rank randomization test for association is equivalent to the randomization test for Pearson's r except that the numbers are converted to ranks before the analysis is done. The approach is to consider the \(X\) variable fixed and compare the correlation obtained in the actual ranked data to the correlations that could be obtained by rearranging the \(Y\) variable ranks. Since the correlation for the sample data is \(0.90\), the association is significant at the \(0.05\) level (one-tailed).
