Evaluating the Technical Efficiency of Academic Departments: a DEABiplot Approach

Authors

DOI:

https://doi.org/10.14482/inde.39.2.519.5

Keywords:

Biplot, DEA, Efficiency, Higher Education

Abstract

This study proposes an innovative two-stage approach, using Data Envelopment Analysis and Biplot, to evaluate the technical efficiency of 30 academic departments of a Chilean university, and to identify the main factors affecting their performances. Public higher education worldwide is under a growing pressure to increase efficiency and improve the quality of education with limited governmental funds given to state-owned universities. The rigorous supervision and regulations make the use of decision-making approaches for the rationale administration of financial resources imperative. The first stage used an output-oriented DEA model, using 3 configurations under the assumption that the units under analysis have more influence on producing outputs than on generating income. The second stage employed a Biplot analysis to characterize the departments into four clusters, and to identify external variables influencing the (in)efficiency scores. Results indicated that academic departments focused on teaching are more efficient than those aiming for research. Among the main factors affecting the level of performance were the number of full-time equivalent faculty holding graduate studies, and the average course approval ratio.

References

A. Charnes, W.W. Cooper, and E.L. Rhodes, “Measuring the Efficiency of Decision Making Units,” Eur. J. Oper. Res., vol. 2., no. 6, pp. 4294–44, 1978.

K.R. Gabriel, “The Biplot-Graphic Display of Matrices with Application to Principal Component Analysis”, Biometrika, vol. 58, no. 3, pp. 453–467, 1971.

M.T. Ramírez-Valdivia, S. Maturana, and S. Salvo-Garrido, “A Multiple Stage Approach for Performance Improvement of Primary Healthcare Practice”, J. Med. Syst., vol. 35, pp. 1015–1028, 2011. doi: 10,1007/s10916-010-9438-7.

R. Fuentes, B. Fuster, A., and Lillo-Bañuis, “A three-stage DEA model to evaluate learning-teaching technical efficiency: Key performance indicators and contextual variables”, Expert Sys App, vol. 48, pp. 89–99, Apr. 2016, doi: 10.1016/j.eswa.2015.11.022.

A. Jarratt, “Report of the Steering Committee for Efficiency Studies in Universities”, CVCP, London, 1985. Accessed: Jun. 12, 2019. [Online].

Available: http://www.educationengland.org.uk/documents/jarratt1985/index.html

Vásquez, A. (2011). “Estudio sobre la eficiencia técnica de las universidades públicas presenciales españolas” Inves. Econ. Ed., vol.5, pp. 689–702, 2010, Accessed: Apr. 1, 2018. [Online]. Available: https://ideas.repec.org/h/aec/ieed05/05-35.html

A. Charnes, W.W. Cooper, and E.L. Rhodes, “Evaluating Program and Managerial Efficiency: An Application of DEA to Program Follow Through,” Manag. Sci., vol. 27, no. 6, pp. 668–697, 1981.

B. Hollingsworth and P. Smith. “Use of Ratios in Data Envelopment Analysis,” Appl. Econ. Letters, vol. 10, no. 11, pp. 733–735, Jan. 2003. doi:10,1080/1350485032000133381.

R.D. Banker, A. Charnes, and W.W. Cooper, “Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis,” Manag. Sci., vol. 30, no. 9, pp. 1078–1092, Sept. 1984. https://www.jstor.org/stable/2631725?origin=JSTOR-pdf&seq=1

K.R. Gabriel and C.L. Odoroff, “Biplots in biomedical research”, Stat Med, vol. 9, no. 5, pp. 469–485, May 1990. doi:10,1002/sim.4780090502.

J.M. Gómez Sancho and M.J. Mancebón Torrubia,”Algunas reflexiones metodológicas sobre la evaluación de la eficiencia productiva de las instituciones de educación superior,” Ekonomiaz, vol. 60, no. 1, pp 140–167, 2005. Accessed: Dec. 10, 2018. [Online].

Available: https://dialnet.unirioja.es/servlet/articulo?codigo=2119131

W. Cooper, L. Seiford, and K. Tone, Data Envelopment Analysis, 2nd ed. New York, NY, USA: Springer, 2007.

N. Avkiran, "Investigating technical and scale efficiencies of Australian Universities through data envelopment analysis," Socio-Econ Plan Sci, vol. 35, no. 1, pp. 57–80, March 2001. doi:10,1016/S0038-0121(00)00010-0,

G. Fandel, "On the performance of universities in North Rhine-Westphalia, Germany: Government's redistribution of funds judged using DEA efficiency measure,” Eur. J. Oper. Res , vol. 176. pp. 521–533, Jan. 2007. doi: 10.1016/j.ejor.2005.06.043.

C. Hernández and R. Fuentes, "Eficiencia y eficacia de los institutos públicos de bachiller de la Provincia de Alicante," Rev. Est. Reg., vol. 65, pp. 15–42, 2003.

R. Martín, "La Medición de la Eficiencia Universitaria: Una Aplicación del Análisis Envovente de Datos," Form. Univ., vol. 1, no. 2, pp. 17–26, 2008. Accessed: Apr. 12, 2018. [Online]. doi: 10,4067/S0718-50062008000200004.

C. Silva. "Análisis de eficiencia de Institutos Tecnológicos de España y Brasil: Una aplicación del Análisis Envolvente de Datos (DEA)," J. Technol. Manag. Innov., vol 1., no.4, pp. 43–56. 2006.

A. Sejias Días, “Análisis de la eficiencia técnica en la Educación Secundaria,” Est. Econ. Apl., vol. 23, no. 2, pp. 299-322, 2005. Accessed: May 17, 2018. [Online].

Available: https://www.redalyc.org/pdf/301/30123203.pdf

A.D. Athanassopoulos and E. Shale “Assessing the Comparative Efficiency of Higher Education Institutions in the UK by the Means of Data Envelopment Analysis,” Ed. Econ., Vol. 5, no. 2, pp.117-134, 1997. doi: 10,1080/09645299700000011.

M. McMillan and W. Chan, “University Efficiency: a comparison and consolidation of results from stochastic and Non-stochastic Methods,” Education Economics, vol. 14, no. 1, pp. 1–30, 2006. doi: 10,1080/09645290500481857.

T. Agasisti and C. Pérez-Esparrells,“Comparing efficiency in a cross-country perspective: the case of Italian and Spanish state universities,” High. Educ., vol. 59, pp. 85–103, Jan. 2010. doi:10,1007/s10734-009-9235-8.

T. Agasisti and P. Carsten “Comparing German and Italian public universities: Convergence or divergence in the higher education landscape”, Manage. Decis. Econ., vol. 33. no. 2, pp. 71–85, March 2012. doi: 10,1002/mde.1561.

J. Chen and I. Chen, “Inno-Qual efficiency of higher education: Empirical testing using data envelopment analysis,” Expert Syst. Appl., vol. 38, no. 3, pp. 1823–1834, March 2011. doi:10,1016/j.eswa.2010,07.111.

M. Abbott and C. Doucouliagos, “The efficiency of Australian universities: a data envelopment analysis”, Econ. Educ. Rev., vol. 22, no. 1, pp. 89–97, Feb. 2003, doi:10,1016/S0272-7757(01)00068-1.

A. Torrico, T. Galache Laza, J. Molina, T. Gómez, and R. Caballero, "Análisis de eficiencia de las unidades productivas de una Universidad," Rev. Elect. Com. Trab. ASEPUMA, no. 8, pp. 163–195, 2007.

H. Cáceres V., W. Kristjanpoller R., and J. Tabilo, “Análisis de la eficiencia técnica y su relación con los resultados de la evaluación de desempeño en una Universidad chilena”, Innovar, vol. 24, no. 54, pp. 199–217, Oct. 2014, doi:10,15446/innovar.v24n54.46720,

A.I. Zamora-Torres and A. Favila Tello, “Innovación de los países miembros de la OCDE. Una aproximación a través del Análisis Envolvente de Datos Network Dinámico y el Análisis de Conglomerados Jerárquico”, Acta univ [Online], 29, e2244, 2019. Epub 11 de septiembre de 2020. https://doi.org/10.15174/au.2019.2244

M. Molinos-Senante and M. Alexandros, “The Cost of Reducing Municipal Unsorted Solid Waste: Evidence from Municipalities in Chile”, Sustainability vol. 13, no. 12: 6607, 2021. https://doi.org/10.3390/su13126607

J. G. Hoyos Pineda, and F.A. Aponte-Novoa, “Caracterización de los estudiantes de una institución de educación superior mediante big data”, Ing Desarro, vol. 37 no. 2, pp. 159-172, 2019. doi: 10.14482/inde.37.2.1378

M.Torres-Samuel, C. Luisa Vásquez, M. Luna, N. Bucci, A. Viloria, T. Crissien, and J. Manosalva, “Performance of Education and Research in Latin American Countries through Data Envelopment Analysis (DEA)”, Procedia Comp Scie, vol. 170, pp. 1023-1028, 2020. doi: 10.1016/j.procs.2020.03.079.

H. Bastías-Aguilera, C. Salazar-Espinoza and L. Améstica-Rivas, “Eficiencia investigativa en las universidades de Chile”, Dimensión Empresarial, vol. 18, no. 3, 2020. doi: 10.15665/dem.v18i3.2204

L. P. Navas, F. Montes, S. Abolghasem, R. J. Salas, M. Toloo, R. Zarama, “Colombian higher education institutions evaluation”, Socio-Economic Planning Sciences,Vol. 71, September 2020. doi: 10.1016/j.seps.2020.100801.

M. González-Araya and G. Verdugo Vásquez, "Análisis de eficiencia y productividad de las universidades chilenas mediante análisis y encapsulamiento de datos," Rev. Aporte Santiaguino, vol. 3, no. 2, pp. 245–256, Dec. 2010.

P.E. Ramírez and J.L. Alfaro, “Evaluación de la Eficiencia de las Universidades pertenecientes al Consejo de Rectores de las Universidades Chilenas: Resultados de un Análisis Envolvente de Datos”, Form. Univ., vol. 6, no. 3, pp. 31–38, 2013. doi:10,4067/S0718-50062013000300005.

A. King-Domínguez, P. Backhouse Erazo, and L. Améstica-Rivas, “Desertion and graduation. Measuring the efficiency of state universities in Chile”, Rev. Mendive, vol. 18, no. 2, pp. 326–335, Jun. 2020, Accessed: Jul. 12, 2020, [Online].

Available: http://scielo.sld.cu/pdf/men/v18n2/en_1815-7696-men-18-02-326.pdf

Published

2021-07-02

How to Cite

[1]
M. T. Ramírez Valdivia, K. A. Morales Muñoz, S. I. Salvo Garrido, and A. F. Moraga Pumarino, “Evaluating the Technical Efficiency of Academic Departments: a DEABiplot Approach”, Ing. y Des., vol. 39, no. 2, pp. 315–334, Jul. 2021.