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Apr 26, 2022 at 17:22 comment added John Conor Thanks @Greg Snow. That's very helpful. In stats the classes I've taken so far I hadn't heard of, or thought of, t-tests as linear models. I appreciate you connecting the dots. Evidently I have a lot more to learn :) I'll take a look at the mixed effects poisson regression.
Apr 26, 2022 at 17:13 comment added Greg Snow @JohnConor, a regular Poisson regression should be for independent values, but the mixed effects version accounts for the pairing with the random effects. A 2-sample t-test is a special case of linear regression, a paired t-test is a special case of a linear mixed effects model. The same relationship works with Poisson regression. Offsets are terms in a model that do not have an estimated coefficient (just added as is), in Poisson regressions these are used to account for different sizes of time frames for counts.
Apr 26, 2022 at 16:32 comment added John Conor I have updated the question to better reflect @Greg Snow
Apr 26, 2022 at 16:27 comment added John Conor I'm not trying to make any predictions from this particular dataset, just a hypothesis test to determine if there is any statistically significant difference pre and post intervention. My goal for the question is to determine how to best normalize the 2 data sets covering different lengths of time.
Apr 26, 2022 at 16:24 comment added John Conor Thanks, although a poisson regression should be for independent variables. No? Also, could you elaborate what you mean when you refer to "offsets"? I'm correctly considering classes for fall semester so I will keep those in mind.
Apr 26, 2022 at 16:01 history answered Greg Snow CC BY-SA 4.0