I would send it back and ask for a detailed description of the null hypothesis they are testing, because they are not clear on this point at all: >"All of the analyses to this point have been based on resting-state fMRI data, where the null hypothesis should be true." They are not careful to explicitly define this null hypothesis anywhere, but earlier in the paper they describe some issues with the model used: >"Rest…
Nononono. The null hypothesis here is definitely true. They take resting state data ("lie here while we scan your brain") and pretend that it was acquired during an experiment, using either block or event-related designs. Next, they look for differences between the fake blocks (or events). The null hypothesis is that neural activity is the same across blocks. It must be true because the block boundaries are totally a…
You may have written this before seeing my other response, but I will repeat the point here. You have mentioned only one part of the null hypothesis, there are other assumptions being made that can be violated. From their description, it sounds like they discovered one that is causing the null model to make bad predictions.
Btw, I am using "null hypothesis" and "null model "interchangeably here. Really, null model should be the preferred term but people are so used to "hypothesis".