Article ID: | iaor20134234 |
Volume: | 40 |
Issue: | 1 |
Start Page Number: | 57 |
End Page Number: | 65 |
Publication Date: | Aug 2013 |
Journal: | Journal of Productivity Analysis |
Authors: | Peyrache Antonio |
Keywords: | statistics: general |
In this paper it is shown that a well known procedure (GEKS) of transitivizing a bilateral system of productivity comparisons is implicitly a way of imposing a homothetic structure onto the data. The main implication of this result is that deviations between the bilateral and the multilateral (GEKS) indexes can be interpreted as a measure of local deviation from the homothetic assumption. This establishes an additional link between homotheticity and transitivity.