Assessing national digitalization levels using cross efficiency model
Authors
-
Volkan Soner Özsoy
volkansoner1@gmail.com
Aksaray University, Aksaray, TRhttps://orcid.org/0000-0002-6417-8946
DOI:
10.46223/HCMCOUJS.econ.en.16.1.4179.2026Keywords:
cross efficiency model; Data Envelopment Analysis (DEA); digitalization; OECDJEL Classification:
C44; C67; M10; D24Abstract
The digitalization of countries is essential since the process is related to processes of production, operation, and digitalization. Therefore, this study aims to measure the efficiency of the digitalization levels of the countries. The Data Envelopment Analysis method is an efficiency measurement tool and has different models. The CCR model, while widely used, has limitations such as zero weighting issues and discrimination power constraints. The findings showed that the CCR model considered certain factors in the calculation phase and did not take into account others. According to the result of the analysis, the Czech Republic’s performance score was obtained by considering only two variables out of seven. This situation prevents accurate performance assessment. In addition, while there are 08 countries in efficient positions according to the result of the CCR model, it is not possible to rank them. Therefore, they were analyzed using the cross efficiency model. According to the result of cross efficiency model, Sweden ranks first in terms of digitalization levels, while the Netherlands is in second place and Slovenia is last. A unique ranking was obtained by considering all the variables. Therefore, the digitalization levels of countries were measured using the cross efficiency model, which can both create a unique ranking and obtain more consistent weights.
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Adler, N., Friedman, L., & Sinuany-Stern, Z. (2002). Review of ranking methods in the data envelopment analysis context. European Journal of Operational Research, 140(2), 249-265.
Aldamak, A., & Zolfaghari, S. (2017). Review of efficiency ranking methods in data envelopment analysis. Measurement, 106, 161-172.
Andersen, P., & Petersen, N. C. (1993). A procedure for ranking efficient units in data envelopment analysis. Management Science, 39(10), 1261-1264.
Boffa, E., & Maffei, A. (2023). Development and application of an integrated business model framework to describe the digital transformation of manufacturing-a bibliometric analysis. Production & Manufacturing Research, 11(1), 1-35.
Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision-making units. European Journal of Operational Research, 2(6), 429-444.
Digital Economy and Society Index. (2024). Overall progress but digital skills, SMEs and 5G networks lag behind. https://digital-strategy.ec.europa.eu/en/policies/desi
Digital Transformation Office of the Presidency of Republic of Türkiye. (2023). About digital transformation office. https://cbddo.gov.tr
Farrell, M. J. (1957). The measurement of productive efficiency. Journal of the Royal Statistical Society. Series A (General), 120(3), 253-281.
Georgescu, M. R., Lungu, A. E., Bogoslov, I. A., & Stoica, E. A. (2023). European efficiency or inefficiency in economic growth through digital transformation. Scientific Annals of Economics and Business, 70(SI), 19-31.
Keles, E. U., & Alptekin, G. I. (2023). Evaluation of the digitalization efficiency of countries using data envelopment analysis. https://doi.org/10.1109/SCSP58044.2023.10146126
Krstić, A., Rejman-Petrović, D., Nedeljković, I., & Mimović, P. (2022). Efficiency of the use of information and communication technologies as a determinant of the digital business transformation process. Benchmarking: An International Journal, 30(10), 3860-3883.
Małkowska, A., Urbaniec, M., & Kosała, M. (2021). The impact of digital transformation on European countries: Insights from a comparative analysis. Equilibrium. Quarterly Journal of Economics and Economic Policy, 16(2), 325-355.
Moreno, T., Almeida, A., Toscano, C., Ferreira, F., & Azevedo, A. (2023). Scalable digital twins for industry 4.0 digital services: A dataspaces approach, Production & Manufacturing Research, 11(1), 1-34.
Organisation for Economic Co-operation and Development. (2023). Going digital toolkit by OECD. https://goingdigital.oecd.org
Özsoy, V. S., Örkcü, H. H., & Örkcü, M. (2021). A simplistic approach without epsilon to choose the most efficient unit in data envelopment analysis. Expert Systems with Applications, 168, Article 114472.
Petrovic, D. R., Krstic, A., Nedeljković, I., & Mimovic, P. (2022). Efficiency of digital business transformation in the Republic of Serbia. VINE Journal of Information and Knowledge Management Systems, 54(4), 725-744.
Ramanathan, R. (2006). Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process. Computers & Operations Research, 33(5), 1289-1307.
Sexton, T. R., Silkman, R. H., & Hogan, A. J. (1986). Data envelopment analysis: Critique and extensions. New Directions for Program Evaluation, 1986(32), 73-105.
Toloo, M. (2015). Alternative minimax model for finding the most efficient unit in data envelopment analysis, Computers & Industrial Engineering, 81, 186-194.
Toloo, M., & Salahi, M. (2018). A powerful discriminative approach for selecting the most efficient unit in DEA. Computers & Industrial Engineering, 115, 269-277.
Wang, Y. M., & Jiang, P. (2012). Alternative mixed integer linear programming models for identifying the most efficient decision making unit in data envelopment analysis. Computers & Industrial Engineering, 62(2), 546-553.
Zeydan, M., Çolpan, C., & Çobanoğlu, C. (2011). A combined methodology for supplier selection and performance evaluation. Expert Systems with Applications, 38(3), 2741-2751.
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Received: 25-02-2025Accepted: 02-05-2025Published: 07-09-2025Statistics Views
Abstract: 827 PDF: 40How to Cite
Özsoy, V. S. (2025). Assessing national digitalization levels using cross efficiency model. HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ECONOMICS AND BUSINESS ADMINISTRATION, 16(1), 25–34. https://doi.org/10.46223/HCMCOUJS.econ.en.16.1.4179.2026License
Copyright (c) 2025 Volkan Soner Özsoy

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