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Testing "order" on predicted data

Dear all,

I have a strange situation:

1) I have some data that are associated with "sites"
2) I have two models that predict the data on the "sites"
3) I would like to understand which of the models predicts the order of the 
data better. In other words, I am not interested in the models predicting the 
values exactly, but only in predicting values that are in the same order 
(smaller to bigger).

What is the best test?

PS: Does that make sense?

Best,