I am considering using Diablo for multi-omics analysis of a dataset with 3 data types, for which I have a total of 41 individuals, distributed across three groups. The diablo framework seems ideal for what I want to do. However, one of the questions I would like to answer is which of the three data types better segregates the samples across the three treatment groups / better predicts group membership. Looking at the vignette (https://mixomicsteam.github.io/Bookdown/diablo.html) it seemed to me that it might be possible to do this using the AUCROC curves. Thus, for example, would it make sense to compare the AUCROC curves for component 1 between mRNA and proteomic data?
Related to this, can the loadings across different datatypes be directly compared. E.g. if for component 1 my top loading for mRNA is 0.8 and for proteomics this is 0.3, can we say the top loading is higher for mRNA?
Thanks for any help