In order to assess the efficiencies of a set of production units, it is nec
essary to identify the nature of returns to scale which characterise effici
ent production. Some methods have been developed to test the nature of the
scale elasticity across the full range of scale sizes. However these tests
are heavily weighted by the majority of the units and may not identify smal
l ranges of scale size when different returns to scale hold. This paper dev
elops a procedure based on a combination of Data Envelopment Analysis and r
egression analysis to identify the ranges of scale size where the returns t
o scale may differ from those in other ranges for the single-output, multi-
input case. We also develop a measure of scale size across different input
mixes.