A non-parametric assessment of efficiency of South African public universities

Keywords: Data Envelope Analysis, efficiency; higher education; public universities; South Africa


This article seeks to assess the efficiency of 23 South African public universities using a Data Envelope Analysis (DEA) model for the period 2009–2016. A recent study on this subject matter found a decline in the average TE score of the South African public universities from 83 per cent in 2009 to 78 per cent in 2013. However, the study did not account for non-academic staff among other input variables that are assumed to potentially influence performance outcomes of the universities. We believed that a biased conclusion on the subject matter is likely if academic staff are assumed to dominate efficiency of public universities in South Africa, while the effort of non-academic staff is not considered. In this respect, our model incorporates both academic and non-academic staff as input variables among others. Our findings show that over the study period 2009–2016 the average Technical Efficiency (TE) of the South African public universities increased from 91 per cent to 95 per cent. For this result in particular, we deduce that in assessing efficiency of South African public universities, academic and non-academic staff can be deemed as mutually inclusive variables and therefore, neglecting either of the two can lead to biased estimated average TE scores. In addition to this empirical contribution, we also estimate scale and pure efficiency. Our findings show that on average South African public universities are relatively better off in scale efficiency (at 97%) as compared to pure technical efficiency (at 96%). The efficiency levels provided in this study can be used as performance benchmarks for identifying potential improvements required to reach a satisfactory level of efficiency.


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Author Biographies

T.V. Nkohla, University of Fort Hare East London Campus, East London, South Africa

Management and Economics

M. Simatele, University of Fort Hare East London Campus, East London, South Africa

Management and Economics

N. Marwa, University of Stellenbosch Business School, Bellville, South Africa

Economics and Management Sciences

R. Ncwadi, Nelson Mandela University, Port Elizabeth, South Africa

Business and Economic Sciences


Abel, S. and A. Bara. 2017. “Decomposition of the technical efficiency: Pure technical and scale efficiency of the financial systems.” Working Papers 683. Economic Research Southern Africa.

Adamu, M., J.-J. Soon, and S. A. Ahmad. 2016. “An empirical investigation into the technical efficiency of public universities in Nigeria through a non-parametric technique.” International Journal of Current Research 8(12): 44075–44080.

Agasisti, T. and G. Johnes. 2010. “Heterogeneity and the evaluation of efficiency: The case of Italian universities.” Applied Economics 42(11): 1365–1375.

Ahmad, A. R., A. Farley, and M. Naidoo. 2012. Impact of the government funding reforms on the teaching and learning of Malaysian public universities. Higher Education Studies 2(2): 114–124.

Aigner, D. J., C. Lovell, and P. Schmidt. 1977. “Formulation and estimation of stochastic frontier production function models.” Journal of Econometrics 6(1): 21–37.

Akor, E. U. and N. L. Roux. 2006. “State of higher education funding in South Africa: Policy implications for institutional autonomy and academic freedom.” Journal of Public Administration 41(2.2): 422–433.

Al-Bagoury, S. 2013. “Using DEA to evaluate efficiency of African Higher Education.” Educational Research 4(11): 742–747.

Allais, S. 2017. “Towards measuring the economic value of higher education: lessons from South Africa.” Comparative Education 53(1): 147–163.

Andersson, C., J. Antelius, J. Månsson, and K. Sund. 2017. “Technical efficiency and productivity for higher education institutions in Sweden.” Scandinavian Journal of Educational Research 61(2): 205–223.

Arnolds, C. A., R. Lillah, and R. N. Stofile. 2013. “Assessing the outcomes of higher education mergers in South Africa: Implications for strategic management.” Acta Commercii 13(1): 1–11. Art #175. https://dx.doi.org/10.4102/ac.v13i1.175.

Baltaru, R. D. 2019. “Do non-academic professionals enhance universities’ performance? Reputation vs. organisation.” Studies in Higher Education 44(7): 1183–1196.

Bangi, Y. and A. Sahay. 2014. “Efficiency of the Tanzanian universities.” Journal of Education and Practice 5(14): 130–143.

Banker, R. D., A. Charnes, and W. W. Cooper. 1984. “Some models for estimating technical and scale inefficiencies in data envelopment analysis.” Management Science 30(9): 1078–1092.

Barra, C., R. Lagravinese, and R. Zotti, 2015. “Explaining (in)efficiency in higher education: A comparison of parametric and non-parametric analyses to rank universities.” MPRA Paper No. 67119. https://mpra.ub.uni-muenchen.de/67119/.

Charnes, A., W. Cooper, and E. Rhodes. 1978. “Measuring the efficiency of decision making units.” European Journal of Operational Research 2: 429–444.

Coelli, T. J., D. S. Prasada Rao, C. J. O’Donnell, and G. E. Battese. 2005. An introduction to efficiency and productivity analysis. Springer Science & Business Media.

Coelli, T. 1996. Assessing the performance of Australian universities using data envelopment analysis. NSW: Centre for Science and Productivity Analysis, University of New England.

Council on Higher Education. 2016. South African higher education reviewed: Two decades of democracy. Pretoria: Council on Higher Education

Cunha, M. and V. Rocha. 2012. “On the efficiency of public higher education institutions in Portugal: An exploratory study.” University of Porto, FEP Working Paper No. 468.

Department of Higher Education and Training. 2015. “Reflections on higher education transformation.” Higher Education Summit: 1–24. http://www.dhet.gov.za/summit/Docs/2015 Docs/Annex%203_DHET_Progress%20with%20transformation%20_What%20do%20the%20data%20say.pdf.

DHET see Department of Higher Education and Training.

Duan, S. X. and H. Deng. 2016. Data envelopment analysis of the efficiency of Australian universities: An empirical study. Proceedings of the 20th Pacific Asia Conference on Information Systems, Chiayi, Taiwan, 27 June – 1 July 2016, 1–14.

Emrouznejad, A. and E. Cabanda, 2015. Introduction to Data Envelopment Analysis and its applications. In Handbook of research on strategic performance management and measurement using data envelopment analysis, ed. I. H. Osman, A. L. Anouze and A. Emrouznejad, 235–255. USA: IGI Global.

Emrouznejad, A., B. Parker, and G. Tavares 2008. A bibliography of data envelopment analysis. Socio-Economics Planning Science 42(3): 151–157.

Erkoç, T. E. 2016. “Measuring efficiencies of Turkish public universities with non-parametric efficiency estimation method.” http://www.efdergi.hacettepe.edu.tr/upload/files/3429-nonparametric efficienci-estimation.pdf.

Farrell, M. 1957. “The measurement of productive efficiency”. Journal of the Royal Statistical Society 120(3): 253–290.

Gromov, A. D. 2017. “The efficiency of Russian higher education institutions and its determinants.” HSE Working paper WP BRP 40/EDU/2017. National Research University Higher School of Economics. SSRN: https://ssrn.com/abstract=2905028.

HESA see Higher Education South Africa.

Higher Education South Africa. 2008. Tuition fees: Higher education institutions in South Africa. Higher Education South Africa. https://www.justice.gov.za/commissions/FeesHET/docs/2008-HESA-Report-TuitionFeesInSA.pdf.

Johnes, G. and J. Johnes. 1993. “Measuring the research performance of UK economics departments: An application of data envelopment analysis.” Oxford Economic Papers 45: 332–347.

Johnes, J. 2008. “Efficiency and productivity change in the English higher education sector from 1996/97 to 2002/03.” The Manchester School 76(6): 653–674.

Johnes, G. and K. Tone. 2017. “The efficiency of higher education institutions in England revisited: comparing alternative measures.” Tertiary Education and Management 23(3): 191–205.

Johnstone, D. B. 2006. “Higher Education Finance and Accessibility: Tuition Fees and Student Loans in Sub-Saharan Africa.” In Financing Higher Education, 201‒226. Brill Sense.

Kotecha, P., M. Wilson-Strydom, and S. M. Fongwa. (Eds.). 2012. A profile of higher education in Southern Africa. Vol. 2: National perspectives. Johannesburg: SARUA.

Langa, P., G. Wangenge-Ouma, J. Jungblut, and N. Cloete, 2016. South Africa and the illusion of free higher education. University World News, 402. http://www.universityworldnews.com/ article.php?story=20160223145336908.

Levin, J. and P. Milgrom. 2004. “Producer Theory.” https://web.stanford.edu/~jdlevin/Econ %20202/Producer%20Theory.pdf.

Madden, G., S. Savage, and S. Kemp. 1997. “Measuring public sector efficiency: A study of the Economics Department at Australian universities.” Education Economics 5(2): 153–168.

Marire, J. 2017. “Are South African public universities economically efficient? Reflection amidst higher education crisis.” South African Journal of Higher Education 31(3): 116–137. DOI: http://dx.doi.org/10.20853/31-3-1037.

Marwa, N. and M. Aziakpono. 2016. “Technical and scale efficiency of Tanzania saving and credit cooperatives.” Journal of Developing Areas 50(1): 29–46.

Mattsson, P., J. Månsson, C. Andersson, and F. Bonander. 2018. “A bootstrapped Malmquist index applied to Swedish district courts.” European Journal of Law and Economics 46(1): 109–139.

Meeusen, W. and J. van den Broeck. 1977. “Efficiency estimation from Cobb-Douglas production functions with composed error.” International Economic Review 18(2): 435–444.

Myeki, L. W. and O. Temoso. 2019. “Efficiency assessment of public universities in South Africa, 2009–2013: Panel data evidence.” South African Journal of Higher Education 33(5): 264–280.

Selim, S. and S. Bursalıoğlu. 2015. “Efficiency of higher education in Turkey: A bootstrapped two-stage DEA approach.” International Journal of Statistics and Applications 5(2): 56–67.

Simar, L. and P. W. Wilson. 1998. “Sensitivity analysis of efficiency scores: How to bootstrap in nonparametric frontier models.” Management Science 44(1): 49–61.

Srairi, S. 2014. “The efficiency of Tunisian universities: an application of a two-stage DEA approach.” Journal of Knowledge Globalization 7(2): 31–57.

Statistics South Africa. 2012. Census 2011. https://www.statssa.gov.za/publications/P03014/ P030142011.pdf. (Accessed 26 January 2018).

Statistics South Africa. 2018. “Financial Statistics of Higher Education Institutions.” http://www.statssa.gov.za/publications/P91031/P910312018.pdf.

Taylor, B. and G. Harris. 2004. “Relative efficiency among South African universities: A data envelopment analysis.” Higher Education 47(1): 73–89.

Wangenge-Ouma, G. 2012. “Tuition fees and the challenge of making higher education a popular commodity in South Africa.” Higher Education 64: 831–844.

Wangenge-Ouma, G. and N. Cloete. 2008. “Financing higher education in South Africa: Public funding, non-government revenue and tuition fees.” South African Journal of Higher Education 22(4): 906–919.

Wolszczak-Derlacz, J. 2014. “An evaluation and explanation of (in)efficiency in higher education institutions in Europe and the U.S. with the application of two-stage semi-parametric DEA.” IRLE Working paper No. 114–14. University of California. http://irle.berkeley.edu/workingpapers/114-14.pdf.

Yuangyai, N. 2017. “The effects of public funding on efficiency of Thai public higher education institutions: A two-stage double-bootstrap Data Envelopment Analysis.” Development Economic Review 11(2): 28–68.

How to Cite
Nkohla, T.V., M. Simatele, N. Marwa, and R. Ncwadi. 2021. “A Non-Parametric Assessment of Efficiency of South African Public Universities”. South African Journal of Higher Education 35 (2), 158-87. https://doi.org/10.20853/35-2-3950.
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