I am giving different doses of a drug to mice and measuring a quantitative response. I want to determine if there is a linear relationship between the dose of the drug and the response. Pearson correlation seems to be able to do that.
But I am testing multiple mice per each dose, so I have several observations of the dependent variable per each level of the independent variable. And I am interested in the correlation between the dose and the true population mean of the response in each dose. I would like to know the r and p values (in standard Pearson terminology), i.e. how strong the relationship is and how statistically significant it is.
So I need something like Pearson correlation on repeated measures, but I wasn't able to find any application of that (although I thought it is a pretty typical situation and common analysis). Could you please suggest how to do such an analysis? Thank you.