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how to find some key genes relating a ordinal scale data?

It's this, my purpose is to find some genes having correlation to the gleason scores in prostate cancer, especially the positive correlation between the grade of gleason scores and gene expression values. I download TCGA prostate cancer data through tcgabiolinks package in R, and I retain only tumor samples. I created a group variables via gleason scores. first grade for <=6, second grade for 3+4, third grade for 4+3, fourth grade for 4+4, 3+5, 5+3, fifth grade for 9~10, the code is below:

gleason_group <- ifelse(gleason_data$subtype_Clinical_Gleason == "3+3"| gleason_data$subtype_Clinical_Gleason == "2+4",
                    "I", 
                    ifelse(gleason_data$subtype_Clinical_Gleason == "3+4", 
                           "II", 
                           ifelse(gleason_data$subtype_Clinical_Gleason == "4+3", 
                                  "III", 
                                  ifelse(gleason_data$subtype_Clinical_Gleason == "4+4"| gleason_data$subtype_Clinical_Gleason == "3+5" | gleason_data$subtype_Clinical_Gleason == "5+3", 
                                         "IV", 
                                         "V"))))

and for the dependant variable is a ordinal discrete data, so I think the ordinal logit model can help me. I'm not familiar with this, Am I right? and I find some packages, example for "ordinal" and "rms". which is the best suitable for my conditions? Or I shouldn't use logit model and there are a better solution to me?

I appreciate you in advance.

r rna-seq rna-seq logit model ordinal

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