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Estimating scale economies and the optimal size of school districts

A flexible form approach

Bibliographic Data

ID11161257
AuthorsFritz Schiltz (0000-0001-9920-5353, KU Leuven Leuven Belgium, corresponding author), Kristof De Witte (0000-0003-0505-8642, KU Leuven Leuven Belgium)
Year2017
Volume43
Issue6
Pages1048-1067
Publication date2017-12-01
Open AccessYes
TypeARTICLE
VenueBritish Educational Research Journal (JOURNAL)
Journal identifiersISSN: 0141-1926 • E-ISSN: 1469-3518
PublisherWiley (PUBLISHER • GB)
DOI10.1002/berj.3312
OpenAlexW2765876072
LanguageEN
Citations received2
References cited40

This paper investigates estimation methods to model the relationship between school district size, costs per student and the organisation of school districts. We show that the assumptions on the functional form strongly affect the estimated scale economies and offer two possible solutions to allow for more flexibility in the estimation method. First, we introduce a model by adding higher‐degree district size polynomials, allowing for multiple optima. Second, we develop a Fourier cost function, innovative in the literature on scale economies in education. We then compare both models to classical approaches in the literature. We illustrate how a minor change in the estimation method can alter policy conclusions significantly using Flemish school district data. In doing so, we find sizeable potential cost savings from the consolidation of school districts, especially at the lower tail of the district–size distribution. The organisational transition from small to large school districts is characterised by an interval between two optima. Beyond an apparent slowdown in cost savings in medium‐sized school districts, cost savings from school district consolidation increase again, up to the optimal size of around 6,500 students. Beyond this optimum, school districts incur diseconomies of scale. The commonly used quadratic form (‘U’‐shaped cost function) overestimates scale economies, and fails to identify the interval between both optima

Consolidation (business) · Diseconomies of scale · Econometrics · Economics · Economies of scale · Estimation · Flexibility (engineering) · Microeconomics · Efficiency Analysis Using DEA · Local Government Finance and Decentralization · School Choice and Performance

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Citations per year0.4
Citation span2021 - 2023 (3)
Highly citedNo

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