I experimental data for which I have four groups (1-4)with varying concentrations of a drug. The first drug has zero concentration. Each of these four groups was subdivided into two ( treated with a proinflammatory cytokine vs no treatment with a proinflammatory cytokine), so in total I have 8groups. Now my outcome of interest is il-6 concentrations in all these groups. I am interested in the relative change (ratio or think of it like how many times the il-6 increased across the various groups taking the reference in each group as the il-6 concentrations in the samples that were not simulated with pro-inflammatory cytokine). Ratios were calculated using excel. The question is how do i get standard deviations for these ratios? What is the best statistical method to determine significance in the differences across these ratios?

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