I have a set of sequences of numbers, each sequence is independent from each other. I'd like to know if, "in general", these sequences increase, decrease or remain the same.
What I have done so far is a fitted a linear model to each sequence, so that I can use the gradient to determine if the sequence is increasing or not.
I am then using a Wilcoxson U test to test if to compare if the positive gradients are as large as the negative ones (in absolute value, of course).
Is this a good solution to my problems? What are the threats of this solution? What would be a better one?