# Ordered category agreement

I have data on two processes, where the process assigns elements into ordered bins. I am interested in testing for agreement between the processes. What is the best way to do this (R code)? Here is the dummy data with counts for the 2 processes and 4 categories). I am not familiar with weighted kappa (which I have seen argued by some as the test to use) - so if that is correct, can anyone explain the way to use this method?

EDIT: Adding to this question, I have the following R code. Is this proper and is this value suggestive of agreement?

table<-matrix(c(35,2,10,7,6,15,8,6,4,5,12,8,1,0,0,5),4,4, byrow=TRUE)
Kappa(table,weights="Fleiss-Cohen")


With result:

               value        ASE
Unweighted 0.3630137 0.06201821
Weighted   0.3854999 0.09886236

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