I've three groups (with 5-8 individuals in each group; actually 5 in one and 8 in each of the other two groups), and each of the three groups is undergoing a different treatment. So if we call the three groups A, B and C, I've individuals A1-A5, B1-B8 and C1-C8.

Each day the study parameter is measured for every individual. This parameter is expected to increase over time for every individual, probably in an approximately logarithmic manner, and it's followed over 20 days.

However, the hypothesis is that because the 3 groups are undergoing different treatments, they will differ in the rate of increase: for individuals in one group the parameter may increase rapidly, while for individuals in another, it may rise more gradually.

Within each group, the 5-8 individuals don't seem to vary normally so I guess I need a non-parametric test.

Now, (I think) I can use Kruskal-Wallis to see if my groups differ at each of the various timepoints,

*e.g.*I can do a K-W test to see if there is a difference between the groups on day 2, and I can do a separate K-W test to see if there is a difference between the groups on day 3

*etc.*In a similar manner I can also use the Mann-Whitney test to see is there a difference between two specific groups at a particular timepoint. That's fine.

But what I'd really like to do is compare the collective

*sequences*for each group over the entire period. So I'd like to take the sequence of repeated measures for group A for days 1-20 and see if,

*taken as a whole*(rather than just looking at a particular timepoint), it differs from the sequence of measures for group B, and that for group C. Can anyone recommend a suitable test to do this?

If it makes a difference, I can track each individual in every group -

*i.e.*I can distinguish the info for subject A1 on day 5 from A2 on day 3, for example; they're not just all lumped in together as five subjects in group A that I can't tell apart.

I'd really appreciate any help! Anything I've seen on repeated measures seems to focus on seeing if there's a difference between the beginning and the end of the sequence; it doesn't compare different sequences with each other. Thanks.