Analysis of Projection............................. 4.2.9 Improving University Research Efficiency:
of Projection
Analysis of projection is an important step for DEA method to further analyze on
the inefficient DMUs. The functions of analysis of projection include:first, it’s
possible to calculate how much the inefficient DMUs should reduce their inputs or
increase their outputs; second, it’s possible to confirm the desired values of each
input and output for inefficient DMUs; third, it’s possible to calculate to what
proportions the inefficient DMUs could reduce their inputs and increase their out-
puts. Therefore, through analysis of projection, we can provide decision-maker with
guidance on how to improve research efficiency, so as to scientifically allocate the
research resources, and better organize the research production activities. All these
three aspects are closely linked. According to formula of projection,
x 0 ¼hx 0 s^0 ;y 0 ¼y 0 þs^0 þ,it’s easy to project those inefficient units onto the
production frontier where the efficient projection units lie upon, and then get the
targeted inputs and outputs. By dividing the input reductions or output increments
by their original data, we can obtain the reducible proportions of inputs or the
increasable proportions of outputs. In this section, we define the amount of an input
reduction for one inefficient unit as“redundancy”, and the proportion of this
redundancy to the original amount as“redundant proportion”. Similarly, we define
the amount of an output increment for one inefficient unit as“increasable amount”,
and by dividing this increasable amount by the original amount of output, we get
the proportion of increasable amount (or the increasable proportion). In the
remaining part of this section, we will present the results for the full NEAM and
HSS 211Us samples, and also compare by university type and location.
Fig. 4.9 Change of TE for
HSS disciplines by university
location (2006–2010)
136 4 Evaluation on Research Efficiency of 211Us: The DEA Approach