I am trying to generate r squared values, and their standard deviations or errors, for non-parametric correlations. Any ideas how to do this? Any help is greatly appreciated.
Standard Deviations are not defined for non-parametric tests. SD's and r-squared statistics assume a normal distribution.
If you are looking for a variability measure for the correlation, your best bet is to do a bootstrap on the correlation and quote the 25th and 75th percentiles.
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ANOVA, or Analysis Of Variance, is used to compare the averages or means of two or more populations to better understand how they differ. Watch this tutorial for more.