Is there a statistical method to compare these density plots other than ANOVA (MANOVA)? I would like to compare the densities among year within each plot and report which of those distributions are "significantly different". The reason is that I am more interested in the spread and where on the distribution of the dataset rather than solely on the mean and variance. Thanks
Here is the code and plot
ggplot(NMPSCFAM, aes(Length, colour= Year)) + geom_density(aes(y = ..count..), alpha=0.3) + xlim(0, 700) + geom_density(aes(colour = Year)) + xlab("") + ylab(expression(paste("Mean density ( ", m^2, ")", sep = ""))) + facet_wrap( ~ Family + Sector2, ncol=3, scales = "free")
Edit: Ok so no answers so far. If I did these density plots in a histogram would there be a way to do a Chi-square test on each of the plots? Could any one help me out on how to do this in R?