Dear friends of EEM-PARAFAC of DOM,
I'm wondering if this is possible. Let's say we got five PARAFAC components (C1~C5) and C1 and C2 are so-called protein-like components. C3~C5 are humic-like components. We assume the relative abundances of protein-like and humic-like components in the data set (~100 samples) have negative relationships. Of course if you compare %(C1+C2) and %(C3+C4+C5), you will find a negative relationships between them with r of -1.0, so this analysis is meaningless.
However, what about if you compare %(C1+C2) with each of %C3, %C4, and %C5? In my real data set, the relationships (r and the slopes) are different between the three patterns (although all of them are strongly negative), and I think this has a statistical meaning.
Note that, because Fmax (fluorescence intensity) of the samples differed considerably (as much as three orders), comparing Fmaxs is affected by the differences in the intensities and all of them (Fmax1~Fmax5) have strong positive relationships with each other.
To summarize, is the following OK?
(1) to compare %(C1+C2) with %C3, %C4, and %C5 by a linear correlation analysis.
Best,
Maru