A Procedure for Detecting the Within-pair Difference in Paired Rankings

Paired rankings data comes to us in two situations. One Situation is when pairs of subjects, say husbands and wives, are asked to rank a group of objects. Another situation is when subjects are asked to rank a group of same objects at two time points, say, before and after the treatment. When a pair of rankings arrives simultaneously, it might not be natural to condition on one part of paired rankings or on the other part of paired rankings. Such simultaneously paired rankings need symmetric approach. In this study, we propose a procedure for detecting the within-pair difference in simultaneously paired rankings, based on quantification by changing the sequence of plotting and differencing.