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")
value ASE Unweighted 0.3630137 0.06201821 Weighted 0.3854999 0.09886236