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I do not know how to perform this statistical test. I have a proportion of a bodily liquid substance, and I am interested in the ratio with respect to another. For instance, ratio of water (20l) and plasma (4l) = 5.

There is a placebo and treatment group, so I wanna test if both ratios suffer from the same change (so in placebo group, ratio can increase by 10%, but in treatment group ratio can increase 15%).

How can I test that both ratio's increase are not equal? I thought on ANOVA, but it assumes normality of data (and ratios are usually not normally distributed).

Thank you in advance

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  • $\begingroup$ Does this question stats.stackexchange.com/questions/59145/… answer your question? It appears to. If it does not, please edit your question to say why. (Also, ANOVA does not require normal data; it assumes normal errors). $\endgroup$
    – Peter Flom
    Commented Dec 1, 2023 at 11:52
  • $\begingroup$ Hello Peter, I have read the related posts, but I am more confused than before. Does that mean that if I make this new regression and obtain a coeficient not equal to 0 for Bx, inference is not valid? And this issue fixes when using a log transformation? I didn't really understand the answer $\endgroup$
    – Javier Moreno Sepena
    Commented Dec 4, 2023 at 14:00
  • $\begingroup$ OK then I guess it doesn't answer your quetion. $\endgroup$
    – Peter Flom
    Commented Dec 4, 2023 at 14:20

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