The Manchester School. 2020;88:531–555. wileyonlinelibrary.com/journal/manc
|
531 © 2019 The University of Manchester
and John Wiley & Sons Ltd
Received: 16 January 2019
|
Revised: 26 October 2019
|
Accepted: 18 November 2019
DOI: 10.1111/manc.12308
ORIGINAL ARTICLE
Assessing the performance of Spanish secondary
education institutions: Distinguishing between
transient and persistent inefficiency, separated from
heterogeneity
Manuel Salas-Velasco
Department of Applied Economics,
University of Granada, Granada, Spain
Correspondence
Manuel Salas-Velasco, Department
of Applied Economics, University of
Granada, 18071 Granada, Spain.
Email: msalas@ugr.es
Abstract
This paper evaluated the performance of Spanish secondary
schools whose 15-year-old students were assessed in mathe-
matical competencies by the OECD (PISA program) in 2003
and 2012. The technique employed was the stochastic fron-
tier analysis for panel data using a sample of schools which
participated simultaneously in both waves. First, the para-
metric measurement of time-varying technical inefficiency
was done in this paper using three standard models. Second,
we used the four random component stochastic frontier
model proposed by Kumbhakar, Lien, and Hardaker [2014.
Journal of Productivity Analysis, 41(2), 321–337] that dis-
tinguishes between residual or transient technical ineffi-
ciency and persistent technical inefficiency, separated from
heterogeneity. Persistent (time invariant) inefficiency was
a larger problem than residual (time varying) inefficiency
when evaluating the educational performance of Spanish
secondary schools over time. Finally, we introduced the re-
cent model recommended by Badunenko and Kumbhakar
[2017. European Journal of Operational Research, 260(2),
789–803] to accommodate heteroscedasticity associated
with both heterogeneity and the noise terms, incorporat-
ing at the same time determinants of both persistent and
time-varying inefficiency. School inefficiency was presum-
ably not caused by something unexpected within each year
such as greater difficulty in hiring teachers, but rather by