I have two samples where I want to tell if their distributions are significantly different. I conducted a Kolmogorov-Smirnov test which rejected the null hypothesis (D=0.0983, p=2.14e-11) leading me to believe that the samples do indeed come from different distributions. The problem is, how can I determine what is significantly different about these samples? Are the distributions different in mean? skew? something else? Examining the histograms with each other do not give any immediate indication of difference. Sure, the red sample has a bit lower values than the blue sample, but is that what caused the KS test to be significant? How can I know what caused the KS test null hypothesis to fail?
Sample size of red = 1306 Sample size of blue = 646,513