An issue in the multiple-output case within the literature on piecewis
e linear frontier production functions has been how to determine the n
ature of the scale properties. It is shown that knowledge of scale eff
iciency does not permit calculation of scale elasticity or vice versa.
For inefficient units there is a relationship between input-saving an
d output-increasing efficiency measures through the average value of t
he scale elasticity between the two different reference points on the
frontier. A direct approach to determine the scale properties is to ca
lculate the scale elasticity from the dual problem to the calculation
of Farrell efficiency measures.