Dear Syed Abdul Rehman,
The purpose ranking by using the concomitant variable would loss if you are using such variable as it is providing information in inverse direction.
Dear Syed Abdul Rehman,
I think a concomitant variable can be used in the ranking process even if it is negatively correlated to the study variable. In this case, the units in the set take ranks {1,2, ..., k} when the set size k. On the other hand, we know that the ranks of the units are {k, k-1, ..., 1} according to the study variable. Thus, it is assumed that the kth ordered unit is selected from the first set, the (k-1)th ordered unit is selected from the second set, and so on. After all, m units are selected from each judgement rank for full measurement when the number of cycles is m.
Sincerely
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