I want to know how can I do statistics (SE) on a ratio.
This is the set up I have:
I treat my samples (4 types: A, B, C, D) on day 7 and day 12.
I then take a ratio for each sample type (For A: d12 growth/d7 growth) so I get A increased in growth 3 times from day 7 to day 12.
I do this for all the samples.
Each sample individually is the average of 4 technical replicates (A=a1+a2+a3+a4 /4 and so on for B, C, D). I then repeat this entire process to get 2 more biological replicates A2, B2, C2 and D2 (same for replicate 3).
so, I want to perform ANOVA on these ratios.
How can I do this? How can I get SE for my ratios so I can plot day 7: day 12 on Y-axis and treatments A, B, C, D on X-axis?