Dear Negar,
Your observation is very interesting.
Regarding the globally lower connectivity values in the Parkinson's group, I would first be cautious before interpreting this as a biological effect. A global shift in FC can sometimes arise from residual motion effects, differences in signal quality, preprocessing choices, global signal handling, or other confounding factors.
One useful way to investigate this is to move beyond simple edge-wise averages and examine the mathematical structure of the connectivity matrices themselves. For example:
These analyses can sometimes distinguish a true network reorganization from a global scaling or preprocessing artifact.
If you are interested, I would be happy to take a look at a small anonymized sample of the FC matrices (for example a few subjects from each group) and perform some exploratory spectral and network analyses. In many cases, these analyses can reveal whether the observed group difference is driven by a genuine change in network structure or by a more global effect.
Best regards
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