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.
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.