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I have samples from animal subjects from two years, three regions, and two behavioral groups. The data are all observational, and the design of the study is very unbalanced. I want to know whether subjects that do a behavior (ch.binary) have different microbial communities, controlling for year of sample collection and region. For some, but not all subjects, I have multiple samples. Some animals have a samples taken from both years of the study, and some have a sample from both before and after the focal behavior occurred. How can I design a test to see whether microbial communities differ between behavioral groups while controlling for repeated measures of animals.

I think what I need is to allow permutations within subjects, but I am unsure of how to deal with year.

So far, I have tried defining subjects as strata at the Plot level. I'm confused about whether I also need to add a Block level for year. And if so, how to specify this.

I attempted to include an example below, with the permutation design, model, and my factors. Thank you in advance for any help or tips on how to better ask this question.

h <- how(plots = Plots(strata = subject, type = "none"),
         nperm = 499)

adonis2(dist.mat ~ year + region + ch.binary, permutations = h,
                         nperm = 9999, set.seed(1), by = "margin")


year = as.factor(c(rep("2015", 15), rep ("2016", 34)))

region = as.factor(c("me", "me", "me", "w",  "me", "e",  "e",  "w",  "w",  "e",  "w",  "e",  "me", "w",  "w", "me", "e",  "w",  "me", "w",  "w",  "me", "w",  "w",  "me", "e",  "w",  "w",  "e",  "me", "w",  "w",  "me", "me", "w",  "me", "me", "w",  "me", "w",  "me", "w",  "me", "me", "w",  "w",  "me", "me", "me"))

ch.binary = as.factor(c(1,1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1,
                        1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2,
                        1, 1,1, 1, 1, 1,1, 1, 1, 1, 2, 1, 1))

subject = as.factor(c("sadie","djibouti","wallace","ariel","dusty","texas","paula",
                    "tiger","bridget","larissa","tiger","texas","serenac","sarah",
                    "ariel","texas","darcy","biff","paula","julikmi","julikmi",
                    "kelty","lassie","lassie","sadie","larissa","juniper","sarah",
                    "darcy","serenac","alexa","sawathu","hardee","dusty","shira",
                    "tatya","noir","wanaka","wallace","liani","donoma","shira",
                    "texas","hezakiah","delphi,II","bridget","hoorah","hezakiah","donoma"))
jrcalabrese
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