This is the description of my study. I'm experimenting with three plants: A, B, and C. These plants are supposed to reduce blood glucose for diabetic patients. I want to determine which of these three plants has a longer effect on blood glucose reduction after a single administration into mice. This is done by measuring the blood glucose from mice at 7 time points (day 1, 2, 3, 5, 7, 10, and 14). So there are 4 groups (untreated, treated with A, treated with B, and treated with C). For each group 3 mice were used (n=3). My goals are:
- To determine if the effect of each plant treatment is significant compared to untreated.
- To compare the effect of the among the groups for each day.
- To determine which treated group has the longest effect after 14 days.
My solution is to use two-way ANOVA since there are more than 2 groups and I want to compare the groups in each day and finally the overall effect.
Is the this the correct method? Will I be able to rank which will be the best plant followed by the 2nd and the 3rd? Or should I use time series analysis?