I'm planning to contrast two independent groups of participants on a particular performance measure in order to determine which of two theoretical models explains their behaviour. I will calculate a value that we hypothesize will have a mean near 0 according to Model 1, and a mean significantly different from 0 according to Model 2. As the goal is to determine, per group, which model the data best matches, we will be using 1-sample t-tests for the two groups.
My question is, would I still correct for multiple comparisons given that the test is being run on two independent groups? There is also no statistical comparison between the groups.
In summary, we will run a 1-sample t-test for group 1, and a 1-sample t-test for group 2. Should we adjust the alpha? And which correction do you recommend?