1. Introduction
Organizations such as banks operate Information Technology (IT) to ameliorate their competitive advantage (Appiahene, Ussiph, & Missah, 2018). The impact of IT on performance has been studied within firms, industries, and individual information systems (e.g., Bakos & Kemerer, 1992; Kauffman & Weill, 1989). According to (Chen, Liang, Yang, & Zhu, 2006), IT firms has created most business transaction and assessed its impact on firm’s performance. Many studies pointed that there was an assortment of problems in evaluating the impact of IT on firm performance.
The productivity paradox i.e., a positive relationship between IT investment and firm performance by the researchers (Brynjolfsson & Hitt, 1996, 1998; Brynjolfsson, Erik, & Hitt, 2000); and Carr (2003) postulate that IT provides no significant competitive advantage. Conversely, Dewan and Kraemer (2000), and Brynjolfsson et al. (2002) acknowledge that the IT strategic business effort is dependent upon the factors such as the type of IT being deployed, infrastructural, customer service, etc.
Researchers have begun to use Data Envelopment Analysis (DEA) as an alternative approach to measure the IT impact on firm performance, because DEA does not need a priori assumption on the functional form characterizing the relationships between IT investment and firm performance measures (Zhu, 2002). The researchers applied DEA technology to measure the impact of IT and found positive impact on firms’ performance (e.g., Chen, Liang, Yang, & Zhu, 2006; Madjid, Mohammad, & Mohsen, 2009; Cao & Yang, 2013). Dash, Yang, and Liang (2006) integrated DEA and neural networks (NNs) to analyze the relative branch efficiency of a big Canadian bank and compared with the normal DEA results. Banking efficiency evaluation has been conducted along with IT investment (for example, Chen, Liang, Yang, & Zhu, 2006; Madjid, Mohammad, & Mohsen, 2009). Other researchers applied DEA approach in the measurement of efficiency within the banking sector and reported positively about the use of DEA as an efficient method of deciding the efficiency and performance of banks (for example, Halkos & Salamouris, 2004; Dalgleish, Williams, & Golden, 2007; Ascarya, Yumanita, Achsani, & Rokhimah, 2008; Nii, Aboagye, & Gemegah, 2012; Sarifuddin, Ismail, & Kumaran, 2015; Nand & Archana, 2015; Adusei, 2016; Aggelopoulos & Georgopoulos, 2017).
Application of DEA technology in measuring efficiency of banks in Bangladesh are available (for example, Khanam & Nghiem, 2003; Yasmeen, 2011; Hoque & Rayhan, 2012; Hossian, Sobhan, & Sultana, 2016; Islam & Kassim, 2015; Islam, Sabur, & Khan, 2017). There is a fair number of researches that studied cost, revenue and profit bank efficiency (for example, Vander, 2002; Isik & Hassan, 2002b; Maudos & Pastor, 2003; Fries & Taci, 2005; Carvallo & Kasman, 2005; Bader, 2007; Ariff & Can, 2008; Bader, Mohamed, Ariff, & Hassan, 2008; Kristina, 2014; Gulati & Kumar, 2016; Tuškan & Stojanovi´c, 2016). Despite the significant importance of this area, documented studies that address the cost, and profit efficiency of State owned commercial banks along with IT investment are rare.
The goal of this study is to investigate the IT investment on State-owned Commercial Banks (SOCBs) in the context of both cost and profit efficiency in Bangladesh by Variable Return to Scale (VRS) cost DEA and profit DEA models. Examining the role of IT components on SOCBs with the efficiency of both cost and profit by using Ordinary Least Square (OLS) method is a concern. In addition, the yearwise and bank-wise cost and profit efficiency comparison are made for the SOCBs.
2. Literature Review
The DEA model initially developed by Charnes, Cooper and Rhodes (1978) was based on the assumption of Constant Return to Scale (CRS) and this model modified by Banker, Charnes, and Cooper (1984) was based on the assumption of Variable Return to Scale (VRS). In particular, (Maudos & Pastor, 2003; Färe et al., 2004), they established the cost efficiency model, the standard profit efficiency model, and the alternative profit efficiency model, respectively.
A lot of studies has been performed over the past decade in measuring efficiency of firm companies, banks and other decision making units. Noulas (2001) employed both DEA model and the traditional approach to examine the effect of banking deregulation on private and public owned banks. Sanjeev (2006) studied efficiency of private, public and foreign banks operating using DEA in India. DEA approach is very popular and has been applied widely in different areas of measuring efficiency of Indian banks by Pramodh et al. (2008). Savi´c, Radosavljevi´c, and Ilievski (2012) used the DEA window analysis technique to measure the profit efficiency and the operating efficiency of commercial banks in Serbia. To measure bank efficiency researchers (for example, Fethi & Pasiouras, 2010; Titko et al., 2014; Paradi & Zhu, 2013; Asmild & Zhu, 2016; Tuškan & Stojanovi´c, 2016; Cvetkoska & Savi´c, 2017) used different application of DEA. Chen, Matousek and Wanke (2017) examined Chinese bank efficiency with a combined approach using DEA and Support Vector Machines. Diallo (2018) analyzed the effect of bank efficiency on value-added growth of industries across countries using DEA. Violeta and Čiković (2021) measured the relative efficiency of commercial banks in two developing countries, the Republic of North Macedonia and the Republic of Croatia by using DEA.
Studies regarding the efficiency of banks in Bangladesh using the DEA approach are not very common. There are a few studies assessing the efficiency of banks with DEA (for example, Yasmeen, 2011; Hoque & Rayhan, 2012; Bhuia et al., 2012; Haque, 2013; Ahmed & Liza, 2013; Islam & Kassim, 2015; Hossain et al., 2016; Islam et al., 2017; Fatema et al., 2019; Azad et al., 2020). A few researchers conducted the efficiency analysis in cost and profit in Bangladesh (Uddin & Suzuki, 2011). With the exclusion of the study by Miller and Noulas (1996), profit efficiency is observed lower than cost efficiency. Violeta and Cikovi´c (2020) assessed the profit efficiency of commercial banks in North Macedonia using DEA technique window analysis. Besides, there are several studies available on the analysis of cost and / or profit efficiency of both Turkish and Spanish banking 2002b; Maudos & Pastor, 2003); in U.S. banking (Berger & DeYoung, 2001; Clark & Siems, 2002; Berger & Mester, 2003; Färe, Grosskopf, & Weber, 2004); in European banking (Maudos et al., 2002; Vander-Vennet, 2002; Bos & Schmiedel, 2003; Weill, 2004); in Croatia banking (Jemric & Vujcic, 2002); in Taiwan Banking (Chen, 2004); in Latin American and Caribbean Banking (Carvallo & Kasman, 2005); banks in Post Communists’ Countries (Fries & Taci, 2005); in Malaysian banking (Bader, 2007); in OIC countries (Bader et al., 2008); in Latvian banking (Titko et al., 2014); in Slovak banking (Grmanova´ & Ivanova´, 2018); and in the performance. Studies were conducted regarding the link banking sectors of developing countries (Bonin, Hasan, & between productivity and IT investments to explain the Wachtel, 2005a; Sohrab & Suzuki, 2011).
DEA has been one of the most popular tools to assess the impact of IT on organizational efficiency and firm’s performance, some of which have been discussed in this study. Banker et al. (1990) combined DEA and nonparametric production frontier to measure the productivity achievements from IT in complex managerial environment. Sigala (2003) conducted a study for measuring Information and Communication Technology (ICT) productivity impact with a DEA approach. Chen and Zhu (2004) used DEA model on banks and found a positive impact of IT on the bank’s efficiency and performance. Chen et al. (2006), Cao and Yang (2011), and Madjid et al. (2009), they used DEA to evaluate the impact of IT on firms’ performance and found a positive impact of IT on the firms’ performance. Appiahene, Missah, & Najim (2019) evaluated IT impact on Ghanaian bank branches using a two-stage DEA model and found IT had significant impact on the banks’ overall performance. Studies were conducted regarding the link between productivity and IT investments to explain the ineffectiveness of information technology in improving the performance of banks (Loveman, 1994; Oluwagbemi, Abah, & Achimugu, 2011). In addition, the works of Brynjolfsson and Hitt (1996, 1998), Prasad and Harker (1997), and Brynjolfsson, Erik and Hitt (2000) have found a positive relationship between IT investment and the productivity of a banking firm. A few researchers (Licht & Moch, 1999; Prasad & Harker, 1997) showed the effects of IT investments on profitability and concluded that there was no link between IT investments and bank profitability.
3. Research Methods and Materials
3.1. Data Description and the Variables
In this study the yearly data such as Non-IT and IT are used are described in Table 1.
Table-1: Definitions of the Variables for DEA (Outputs, Input Quantity, Output and Input Prices Variables) and IT Variables
3.2 VRS Cost Minimization DEA Model Specification
The specification of VRS cost DEA model is followed by (Coelli, Rao, O´Donnell, & Battese, 2005) as follows:
\(\mathrm{M} \text { in } \quad h_{k}=\sum_{\mathrm{i}=1}^{\mathrm{m}} w_{i q} x_{i q}^{*}\\\text { st } \quad \sum_{j=1}^{n} \lambda_{j} x_{i j} \leq x_{i q}^{*} \quad ; \mathrm{i}=1,2, \ldots \ldots . \ldots \ldots, \mathrm{m}\\\sum_{j=1}^{\mathrm{n}} \lambda_{j} y_{r j} \leq y_{r q} \quad ; \mathrm{r}=1,2, \ldots \ldots \quad \ldots \ldots \ldots, \quad \mathrm{s}\\\begin{array}{ll} \sum_{j=1}^{\mathrm{n}} \lambda_{\mathrm{j}}=1 & \\ \lambda_{\mathrm{j}} \geq 0 & ; \mathrm{j}=1,2, \ldots \ldots \quad \ldots \ldots \ldots, \mathrm{n} \end{array}\)
where wiq is a vector of input prices such as (Price of fund, Price of fixed assets and Price of labor) of jth bank; xiq* is the vector of input quantities such as (Total fund, Fixed assets and labor) of jth bank; yr are the rth output such as (Loan, Off-balance sheet items) of jth bank. The overall cost efficiency (CEq) is defined as
\(\mathrm{CE}_{q}=\frac{\sum_{i=1}^{m} w_{i q} x_{i q}^{*}}{\sum_{i=1}^{m} w_{i q} x_{i q}}\)
The cost efficiency is the product of technical and allocative efficiency and the value of cost efficiency is restricted by zero and one.
3.3 VRS Profit Maximization Specification
The profit maximization DEA model is specified as follows:
\(\operatorname{Max} \sum_{r=1}^{s} p_{r q} y_{r q}^{*}-\sum_{i=1}^{m} w_{i q} x_{i q}^{*}\\\sum_{j=1}^{n} \lambda_{j} y_{r j} \geq y_{r j}^{*} \quad ; \mathrm{r}=1,2, \ldots \ldots \ldots \ldots \ldots, \mathrm{s}\\\sum_{j=1}^{n} \lambda_{\mathrm{j}} x_{i j} \leq x_{r j}^{*} \quad ; \mathrm{i}=1,2, \ldots \ldots \ldots \ldots \ldots, \mathrm{m}\\\sum_{j=1}^{n} \lambda_{j}=1\\\lambda_{\mathrm{j}} \geq 0 \quad ; \mathrm{j}=1,2, \ldots \ldots \ldots \ldots \ldots, \mathrm{n}\)
where pr are the rth output price (Price of Loan, Price of off-balance sheet items); yr* are the rth output (Loan, Off-balance sheet items) of jth bank; wi are the ith input price (Price of fund, Price of fixed assets and Price of labor) of jth bank; xi* are the ith input (Total fund, Fixed assets and labor) of jth bank.
\(\mathrm{PE}_{q}=\frac{\sum_{r=1}^{s} p_{r q} y_{r q}-\sum_{i=1}^{m} w_{i q} x_{i q}}{\sum_{r=1}^{s} p_{r q} y_{r q}^{*}-\sum_{i=1}^{m} w_{i q} x_{i q}^{*}}\)
The profit efficiency (PEq) is calculated by the ratio of observed profit to maximum profit for the Decision Making Unit (DMU)q (Coelli, Rao, O´Donnell, & Battese, 2005):
3.4 Empirical Specification of Ordinary Least Square Method
The specification of the Ordinary Least Square Method is defined as
\(\begin{aligned} &E_{i t}=\phi_{0}+\phi_{1} I T_{t t}+\phi_{2} I T_{t}+\phi_{3} I T I_{i l}+\phi_{4} I T P_{t}+ \\ &\phi_{5} I T P E+\phi_{6} A T M_{t} T \phi_{7} A T M_{t} F \phi_{8} C C_{t}+\phi_{9} C C E+\xi_{i t} \end{aligned}\)
where Eit represents both the cost and profit efficiency scores estimated by VRS Cost DEA and profit DEA respectively for the i-th bank in period t; ITEit is the IT expense of bank; ITIit is the IT income of bank; ITINit is the IT investment of bank; ITPit is the IT personnel of bank; ITPEit is the IT personnel expenses of bank; ATMTit is the ATM transaction of bank; ATMEit is the ATM expenses of bank; CCT is the Credit Card Transaction of bank; CCE is the Credit Card Expenses of bank. ξit is the error term.
4. Results and Discussion
4.1 Yearly Average Cost and Profit Efficiency of SOCBs with DEA
Both the efficiency of cost and profit for SOCBs using DEA are presented in Figure 1. The average cost efficiency (74.4%) was higher than profit efficiency (20.6%) score suggests that SOCBs were more affordable and less profitable. These results show that the banks were 74% cost efficient in the year of 2008 and 2009 then it increased slightly at 1% to 5% until 2013 after then it has been fallen and steady at 65% on the next year. Finally, it increased dramatically 91.8% in the last year. The profit efficiency scores were very low during the study period. In these years of 2010, 2014 and 2016, the profit efficiency score had 30% above and the SOCBs had 10% to 20% profit efficiency score for the rest of the years. These results are supported by (Mariani, David, & Giuliana, 2011; Ariff & Can, 2008; Kristina, 2014) who showed that SOCBs were the most cost efficient.
Figure 1: Yearly Average Cost and Profit Efficiency of SOCBS with DEA
4.2 Bank-wise VRS Cost Efficiency of SOCBs using DEA
The results of VRS cost efficiency of SOCBs are shown in Table 2. The average technical, allocative and cost efficiency scores were 81.4%, 91.8%, and 74.4% respectively. Rupali bank was the most cost efficient (91.7%) and the technical and allocative efficiency scores were 94.5% and 97% respectively which implies that Rupali bank can save 8.3% of their potential costs by using their inputs in optimal combination. Sonali bank was the less cost efficient with the score of 59% and the technical and allocative efficiency scores were 62.8%, and 93.3% respectively. These results are found similar with the work of Majid (2012) who measured the efficiency of Indian commercial banks by DEA.
Table 2: Bank-Wise VRS Cost Efficiency of SOCBS using DEA
Source: Author's calculation
4.3 Bank-wise VRS Cost and Profit Efficiency of SOCBs
Bank-wise cost and profit efficiency of SOCBs using DEA is presented in Figure 2. The bank-wise average cost and profit efficiency scores were recorded 74.5% and 20.6%. Rupali bank was the most cost efficient (91.6%) where Sonali bank was the less cost efficient (59%). Conversely, Sonali bank was the most profit efficient bank (30.7%) and Rupali bank was recorded less profit efficient (14.9%). These results are supported by the study of Fiorentino, Karmann and Koetter (2006).
Figure 2: Yearly average cost and profit efficiency of SOCBS with DEA
4.4 IT Determinants on Cost DEA Efficiency for SOCBs by OLS Method
Table 3 represents the results of IT determinants on cost DEA efficiency of SOCBs during 2007-2018. The IT Investment ɸ3 (0.00032) and IT personnel expanses ɸ5 (0.00154) were positively significant for the cost efficiency of SOCBs. The ATM transaction ɸ6 (-0.0012) was negatively significant and credit card expenses ɸ9 (-0.002) was insignificant but had negative effect on the cost efficiency of SOCBs. This result is contradicted to the work of Syrine (2013) who assessed the impact of IT investments (hardware, software and IT services) on banks’ cost efficiencies and suggested that “the Productivity Paradox” did not affect all IT investments.
Table 3: It Determinants of Cost DEA Efficiency for SOCBS by OLS Method
Source: Author’s calculation
Table 4 represents the results of IT determinant on profit DEA efficiency of SOCBs from 2007 to 2018. The IT income ɸ2 (-0.0004), IT personnel ɸ4 (-0.002), IT personnel expenses ɸ5 (-0.0005), ATM expenses ɸ7 (-0.019), and credit card expenses ɸ9 (-0.025) were recorded negatively significant for the profit efficiency of SOCBs. These results are contradicted to the study of Loveman (1994) who used Ordinary Least Square method to assess the productivity effect of IT on manufacturing firms.
4.5 IT Determinants of Profit DEA Efficiency for SOCBs by OLS Method
Table 4: IT Determinants of Profit DEA Efficiency for SOCBs by Ordinary Least Square Method
Source: Author’s calculation
5. Conclusions
IT plays a pivotal role to improve the competitiveness of the bank by providing its existing customers with satisfactory services, while at the same time bringing about a significant reduction in cost. This study examined the role of IT on the cost and profit efficiency of SOCBs in Bangladesh during 2007-2018 employing VRS cost DEA and profit DEA. Tobit regression model did not apply for estimating the IT determinants of both VRS cost DEA and profit DEA models because Tobit model usually used when the dependent variable was bounded by [ 0,1]. So, the IT determinants of both VRS cost DEA efficiency and profit DEA efficiency on SOCBs with Ordinary Least Square method is estimated in this study. Among SOCBs, the average cost efficiency (74.4%) was found higher than profit efficiency (20.8%). Rupali bank was the most cost efficient with (91.6%) where Sonali bank was the less cost efficient with (59%). Sonali bank was the most profit efficient bank with (30.7%) and Rupali bank was the less profit efficient with (14.9%). The IT Investment ɸ3 (0.00032) and IT personnel expanses ɸ5 (-0.00154) have found positively significant for the cost efficiency of SOCBs while the ATM transaction ɸ6 (-0.0012) was negatively significant on the cost efficiency of SOCBs. On the other hand, this study does not have any significant estimates of IT factors with profit DEA efficiency for SOCBs. This study shapes a new measure of efficiency because this study employs the IT data for gauging the role of IT components on Bangladeshi banking industry with cost DEA and profit DEA efficiency which is different from other studies. The results obtained from this efficiency studies can be used to help government, regulators and investors to remove the hindrance of progress in Bangladesh economy. This type of study could be applied in another sector of the economic market.
* The authors would like thanks to Department of Statistics, Shahjalal University of Science and Technology, Sylhet, Bangladesh for providing the lab facilities to complete this research work.
References
- Adusei, M. (2016). Modeling the efficiency of universal banks in Ghana. Quant Financ Lett, 95(2), 60-70. https://doi.org/10.1080/21649502.2016.1262938
- Aggelopoulos, E., & Georgopoulos, A. (2017). Bank branch efficiency under environmental change: A bootstrap DEA on monthly profit and loss accounting statements of Greek retail branches. Eur J Oper Res, 261, 1170-1188. https://doi.org/10.1016/j.ejor.2017.03.009
- Ahmed, M. S., & Liza, F. F. (2013). Efficiency of commercial banks in Bangladesh-A Data Envelopment Analysis. European Journal of Economics, Finance & Administrative Science, 130-152.
- Appiahene, P., Ussiph, N., & Missah, Y. M. (2018). Information technology impact on productivity: A systematic review and meta-analysis of the literature. Int J Inf Commun Technol Hum Dev, 10(3), 39-61. https://doi.org/10.4018/ijicthd.2018070104
- Appiahene, P., Missah, Y. M., & Najim, U. (2019). Evaluation of information technology impact on bank's performance: The Ghanaian experience. International Journal of Engineering Business Management, 11, 1-10. https://doi.org/10.1177/1847979019835337
- Ariff, M., & Can, L. (2008). Cost and profit efficiency of Chinese banks: A non-parametric analysis. China Economic Review, 19(2), 260-273. https://doi.org/10.1016/j.chieco.2007.04.001
- Ascarya, Y. D., Achsani, N. A., & Rokhimah, G. S. (2008). Measuring the Efficiency of Islamic Bank in Indonesia and Malaysia using Parametric and Nonparametric Approach. 3rd International Conference on Islamic Banking and Finance, SBP-IRTI, Jakarta, Indonesia, February 23-24, Bank Indonesia:Center for Central Banking Education and Studies.
- Asmild, M., & Zhu, M. (2016). Controlling for the use of extreme weights in bank efficiency assessments during the financial crisis. European Journal of Operational Research, 251, 999-1015. https://doi.org/10.1016/j.ejor.2015.12.021
- Azad, M. A. K., Wanke, P., Raihan, M. Z., Anwar, S. M R., & Mustafa, R. (2020). Bank efficiency in Bangladesh revisited: A slack-based network DEA approach. Journal of Economic Studies, 47(5), 1001-1014. https://doi.org/10.1108/JES-01-2019-0029
- Bader, M. K. (2007). Cost, revenue and profit efficiency of conventional banks: Evidence from nineteen developing countries. In capital markets in emerging markets: Malaysia, (ed), M. Ariff, M. Shamsher, and T. Hassan, pp. (chapter 25). Kuala Lumpur: McGraw-Hill.
- Bader, M. K. I., Mohamed, S., Ariff, M., & Hassan, T. (2008). Cost, revenue, and profit efficiency of Islamic versus Conventional banks: International evidence using Data Envelopment Analysis. Islamic Economic Studies, 15(2), 23-76.
- Bakos, J. Y., & Kemerer, C. F. (1992). Recent applications of economic theory in information technology research. Decision Support Systems, 8, 365-86. https://doi.org/10.1016/0167-9236(92)90024-J
- Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Somemodels for estimating technical and scale efficiencies in data envelopment analysis. Management Science, 30, 1078-1092. https://doi.org/10.1287/mnsc.30.9.1078
- Banker, R. D., Kauffman, R. J., & Morey, R. C. (1990). Measuring gains in operational efficiency from information technology: A study of the positran deployment at hardee's inc. J Manag Inf Syst, 7(2), 29-54. https://doi.org/10.1080/07421222.1990.11517888
- Berger, A. N., & DeYoung, R. (2001). The effects of geographic expansion on bank efficiency. Journal of Financial Services Research, 19(2), 163-184 https://doi.org/10.1023/A:1011159405433
- Berger, A. N., & Mester, L. J. (2003). Explaining the dramatic changes in performance of US Banks: Technological change, deregulation, and dynamic changes in competition. Journal of Financial Intermediation, 12, 57-95. https://doi.org/10.1016/S1042-9573(02)00006-2
- Bhuia, M. R., Baten, M. A., Kamil, A. A., & Deb, N. (2012). Evaluation of online bank efficiency in Bangladesh: A Data Envelopment Analysis (DEA) approach. Journal of Internet Banking and Commerce, 17(2), 1-17.
- Bonin, J. P., Hasan, I., & Wachtel, P. (2005a). Bank performance, efficiency and ownership in transition countries. Journal of Banking & Finance, 29(1), 31-53. https://doi.org/10.1016/j.jbankfin.2004.06.015
- Bos, J. W. B., & Schmiedel, H. (2003). Comparing efficiency in European banking: A meta frontier approach. De Nederlandsche Bank Research Papers, 57, Available at SSRN: https://ssrn.com/abstract=460060 or http://dx.doi.org/10.2139/ssrn.460060
- Brynjolfsson, E., & Hitt, L. M. (1998). Beyond the productivity paradox. Communications of the ACM, 41(8), 49-56. https://doi.org/10.1145/280324.280332
- Brynjolfsson, E., & Hitt, L. M. (1996). Paradox lost? firm-level evidence on the returns to information systems spending. Management Science, 42(4), 541-58. https://doi.org/10.1287/mnsc.42.4.541
- Brynjolfsson, E., Hitt, L. M., & Yang, S. (2002). Intangible assets: Computers and organizational capital. Brookings Papers on Economic Activity, 1, 137-181. https://doi.org/10.1353/eca.2002.0003
- Brynjolfsson, E., & Hitt, L. M. (2000). Beyond computation: Information technology, organizational transformation and business performance. The Journal of Economic Perspectives, 14(4), 23-48. https://doi.org/10.1257/jep.14.4.23
- Carr, N. G. (2003). IT doesn't matter. Harvard Business Review, 81(5), 41-49.
- Cao, X., & Yang, F. (2011). Measuring the performance of internet companies using a two-stage data envelopment analysis model. Enterp Inf Syst, 5(2), 207-217. https://doi.org/10.1080/17517575.2010.528039
- Carvallo, O., & Kasman, A. (2005). Cost efficiency in the Latin American and Caribbean banking system. Journal of International Financial Markets, Institutions and Money, 15(1), 55-72. https://doi.org/10.1016/j.intfin.2004.02.002
- Charnes, A., Cooper, W. W., and Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2, 429-44. https://doi.org/10.1016/0377-2217(78)90138-8
- Chen, Y., & Zhu, J. (2004). Measuring information technology's indirect impact on firm performance. Inf Technol Manag, 5(1-2), 9-22. https://doi.org/10.1023/B:ITEM.0000008075.43543.97
- Chen, T. Y. (2004). A Study of cost efficiency and privatization in Taiwan's banks: The impact of the Asian financial crisis. The Service Industries Journal, 24, 137-151. https://doi.org/10.1080/0264206042000276883
- Chen, Y., Liang, L., Yang, F., & Zhu, J. (2006). Evaluation of information technology investment: A Data Envelopment Analysis approach. Comput Oper Res, 33, 1368-1379. https://doi.org/10.1016/j.cor.2004.09.021
- Chen, Z., Matousekb, R., and Wanke, P. (2017). Chinese Bank efficiency during the global financial crisis: A combined approach using satisfying DEA and support vector machines. North American Journal of Economics and Finance, 43, 71-86. https://doi.org/10.1016/j.najef.2017.10.003
- Clark, J. A., & Siems, T. (2002). X-Efficiency in banking: Looking beyond the balance sheet. Journal of Money, Credit and Banking, 34(4), 987-1013. https://doi.org/10.1353/mcb.2002.0053
- Coelli, T., Rao, D. S. P., O'Donnell, C. J., & Battese, G. E. (2005). An introduction to efficiency and productivity analysis. USA: Springer.
- Cvetkoska, V., & Savi'c, G. (2017). Efficiency of bank branches: Empirical evidence from a two-phase research approach. Economic Research-Ekonomska Istraživanja, 30, 318-333. https://doi.org/10.1080/1331677X.2017.1305775
- Dash, D., Yang, Z., & Liang, L. (2006). Using DEA-neural network approach to evaluate branch efficiency of a large Canadian bank. Expert Syst Appl, 31, 108-115. https://doi.org/10.1016/j.eswa.2005.09.034
- Dalgleish, T., Williams, J. M. G., & Golden, A. M. J. (2007). Efficiency of banks in a developing economy: The case of India. J Exp Psychol Gen, 136(1), 23-42. https://doi.org/10.1037/0096-3445.136.1.23
- Dewan, S., & Kraemer, K. L. (2000). Information technology and productivity: Evidence from country-level data. Management Science, 548-562.
- Diallo, B. (2018). Bank Efficiency and industry growth during financial crises. Economic Modeling, 68, 11-22. https://doi.org/10.1016/j.econmod.2017.03.011
- Fatema, N., Siddik, A. B., & Ibrahim, A. M. (2019). Efficiency and productivity of commercial banks: Evidence from Bangladesh. North American Academic Research, 2(7), 190-208.
- Fare, R., Grosskopf, S., & Weber, W. L. (2004). The effect of risk-based capital requirements on profit efficiency in banking. Applied Economics, 36(15), 1731-1743. https://doi.org/10.1080/0003684042000218525
- Fethi, M. D., & Pasiouras, F. (2010). Assessing bank efficiency and performance with operational research and artificial intelligence techniques: A survey. European Journal of Operational Research, 204, 189-98. https://doi.org/10.1016/j.ejor.2009.08.003
- Fries, S., & Taci, A. (2005). Cost efficiency of banks in transition: Evidence from 289 banks in 15 post communists' countries. Journal of Banking and Finance, 29(1), 55-81. https://doi.org/10.1016/j.jbankfin.2004.06.016
- Fiorentino, E., Karmann, A., & Koetter, M. (2006). The Cost efficiency of German banks: A comparison of SFA and DEA. Bundesbank Series 2 Discussion Paper No. 10, Available at SSRN: https://ssrn.com/abstract=2793983
- Grmanova', E. & Ivanova', E. (2018). Efficiency of banks in Slovakia: Measuring by DEA models. J Int Stud., 11 (1), 257-272. https://doi.org/10.14254/2071-8330.2018/11-1/20
- Gulati, R., & Kumar, S. (2016). Assessing the impact of the global financial crisis on the profit efficiency of Indian banks. Economic Modelling, 58, 167-181. DOI:10.1016/j.econmod.2016.05.029
- Halkos, G. E., & Salamouris, D. S. (2004). Efficiency measurement of the Greek commercial banks with the use of financial ratios: A data development analysis approach. Manag Account Res, 15(2), 201-224. https://doi.org/10.1016/j.mar.2004.02.001
- Hoque, M. R., & Rayhan, M. I. (2012). Data Envelopment Analysis of Banking sector in Bangladesh. Russian Journal of Agricultural and Socio-Economic Sciences, 5, 17-22. https://doi.org/10.18551/rjoas.2012-05.02
- Haque, S. (2013). The performance analysis of private conventional banks: A case study of Bangladesh. IOSR Journal of Business and Management,12(1), 19-25. https://doi.org/10.9790/487X-1211925
- Hossian, M. M., Sobhan, M. A., & Sultana, S. (2016). Application of DEA methodology in measuring efficiency of some selected commercial banks in Bangladesh. JUJSS, 33, 57-64.
- Islam, S., & Kassim, S. (2015). Efficiency of Islamic and Conventional banks in Bangladesh: Comparative study using DEA approach. Journal of Islamic Economics, Banking and Finance, 11(3), 83-110. https://doi.org/10.12816/0024442
- Islam, M. N., Sabur, M. A., & Khan, A. G. (2017). Efficient and effective operations of commercial banks in Bangladesh: An evaluation. Journal of Science and Technology, 7(1 & 2), 93-108.
- Isik, I., & Hassan, M. K. (2002a). Technical, scale and allocative efficiencies of Turkish banking industry. Journal of Banking and Finance, 26, 719-766. https://doi.org/10.1016/S0378-4266(01)00167-4
- Isik, I., & Hassan, M. K. (2002b). Cost and profit efficiency of the Turkish banking industry: An empirical investigation. The Financial Review, 37, 257-280. https://doi.org/10.1111/1540-6288.00014
- Jemric, I., & Vujcic, B. (2002). Efficiency of banks in Croatia: A DEA approach. Comp Econ Stud., 44(2-3), 169-193. https://doi.org/10.1057/ces.2002.13
- Kauffman, R. J., & Weill, P. (1989). An evaluative framework for research on the performance effects of information technology investment. In: Proceedings of the 10th international conference on information systems. Boston: 377-388.
- Khanam, M. D., & Nghiem, H. S. (2003). Efficiency of banks in Bangladesh: A non-parametric approach. Working Paper.
- Kristina, K. (2014). Application of Data Envelopment Analysis to measure cost, revenue and profit efficiency. Statistika, 94(3), 47-57.
- Loveman, G. W. (1994). An assessment of the productivity impact of information technologies. In T. J. Allen and M. S. Scott Morton (eds.), Information technology and the corporation of the 1990s: Research Studies, Oxford University Press, 84-110.
- Licht, G., & Moch, D. (1999). Innovation and information technology in services. Canadian Journal of Economics, 32(2), 48-61.
- Madjid, T., Mohammad, H. K., & Mohsen, J. S. (2009). Information technology's impact on productivity in conventional power plants. Int J Bus Performance Manag, 11(3), 187-202. https://doi.org/10.1504/IJBPM.2009.024370
- Majid, K. (2012). Efficiency analysis by using Data Envelop Analysis model: Evidence from Indian banks. International Journal of Latest Trends in Finance & Economic Sciences, 2(3), 228-237.
- Maudos, J., & Pastor, J. M. (2003). Cost and profit efficiency in the Spanish banking sector (1985-1996): A nonparametric approach. Applied Financial Economics, 13(1), 1-12. https://doi.org/10.1080/09603100110086087
- Maudos, J., Pastor, J. M., & Perez, F. (2002). Competition and efficiency in the Spanish banking sector: The importance of specialization. Applied Financial Economics, 12, 505-516. https://doi.org/10.1080/09603100010007977
- Mariani, A. M., David, S. S., & Giuliana, B. (2011). The impact of Islamic banking on the cost efficiency and productivity change of Malaysian commercial banks. Applied Economics, 43(16), 2033-2054. https://doi.org/10.1080/00036840902984381
- Miller, S. M., & Noulas, A. G. (1996). The Technical efficiency of large bank production. Journal of Banking & Finance, 20(3), 495-509. https://doi.org/10.1016/0378-4266(95)00017-8
- Nand, K., & Archana, S. (2015). Measuring technical and scale efficiency of banks in India using DEA. IOSR J Bus Manag, 17(1), 66-71.
- Nii, A. S., Aboagye, A. Q. Q., & Gemegah, A. (2012). Technical efficiency of the Ghanaian banking industry and the effects of the entry of foreign banks technical efficiency of the Ghanaian banking industry and the effects of the entry of foreign banks. J African Bus, 13(3), 232-243. https://doi.org/10.1080/15228916.2012.727755
- Noulas, A. G. (2001). Deregulation and operating efficiency: the case of the Greek banks. Managerial Finance, 27(8), 35-47. https://doi.org/10.1108/03074350110767321
- Oluwagbemi, O., Abah, J., & Achimugu, P. (2011). The impact of Information Technology in Nigeria's banking industry. Journal of Computer Science and Engineering, 7(2), 63-67.
- Prasad, B., & Harker, P. T. (1997). Examining the contribution of information technology toward productivity in US retail banking. (Working paper), Wharton School, University of Pennsylvania.
- Paradi, J. C., & Zhu, H. (2013). A survey on bank branch efficiency and performance research with data envelopment analysis. Omega, 41, 61-79. https://doi.org/10.1016/j.omega.2011.08.010
- Pramodh, C., Ravi, V., & Nagabhushanam, T. (2008). Indian banks' productivity ranking via Data Envelopment Analysis and Fuzzy Multi-Attribute Decision-Making hybrid. International Journal of Information and Decision Sciences, 1(1), 44-65. DOI: 10.1504/IJIDS.2008.020035
- Sanjeev, G. M. (2006). Data envelopment analysis (DEA) for measuring Technical efficiency of banks. Vision: The Journal of Business Perspective, 10(1), 13-27. https://doi.org/10.1177/097226290601000102
- Sarifuddin, S., Ismail, M. K., & Kumaran, V. V. (2015). Comparison of banking efficiency in the selected ASEAN countries during the global financial crisis. PROSIDING PERKEM, 10, 286-293.
- Sigala, M. (2003). The Information and communication technologies productivity impact on the uk hotel sector. Int J Oper Prod Manag, 23(10), 1224-1245. DOI: 10.1504/IJIDS.2008.020035
- Sohrab, S. M., & Suzuki, Y. (2011). Financial Reform, Ownership and Performance in Banking Industry: The Case of Bangladesh. International Journal of Business and Management. 6(7), 28-39.
- Syrine, B. R. (2013). Impact of information technology on the performance of Tunisian banks: A stochastic frontier analysis with panel data. Asian Academy of Management Journal of Accounting and Finance (AAMJAF), 9(2), 95-125.
- Savi'c, G., Radosavljevi'c, M., & Ilievski, D. (2012). DEA window analysis approach for measuring the efficiency of Serbian banks based on panel data. Management - Journal for theory and practice of management, 17(65), 5-14. https://doi.org/10.7595/management.fon.2012.0028
- Titko, J., Stankeviciene, J., & Lace, L. (2014). Measuring bank efficiency: DEA application. Technol Econ Dev Econ., 20(4), 739-757. https://doi.org/10.3846/20294913.2014.984255
- Tuskan, B., & Stojanovi'c, A. (2016). Measurement of cost efficiency in the European banking industry. Croatian Operational Research Review, 7, 47-66. https://doi.org/10.17535/crorr.2016.0004
- Uddin, S. M. S., & Suzuki, Y. (2011). Financial reform, ownership and performance in banking industry: The case of Bangladesh. International Journal of Business & Management, 6(7), 28-39.
- Vander, V. R. (2002). Cost and profit efficiency of financial conglomerates and universal banks in Europe. Journal of Money, Credit and Banking, 34, 254-282. https://doi.org/10.1353/mcb.2002.0036
- Violeta C. V., & Cikovi'c, K. F. (2021). Efficiency Analysis of Macedonian and Croatian Banking Sectors with DEA. Economy, Business & Development, 2(2), 1-19. DOI:10.47063/ebd.00003
- Violeta C. V., & Cikovi'c, K. F. (2020). Assessing the relative efficiency of commercial banks in the Republic of North Macedonia: DEA window analysis. Croatian Operational Research Review, CRORR 11, 217-227. https://doi.org/10.17535/crorr.2020.0017
- Weill, L. (2004). Measuring cost efficiency in European banking: A comparison of frontier techniques. Journal of Productivity Analysis, 21, 133-152. https://doi.org/10.1023/B:PROD.0000016869.09423.0c
- Yasmeen, W. (2011). Technical efficiency in the Bangladeshi banking industry: A non-parametric analysis. The 2011 Barcelona European Academic Conference, Barcelona, Spain, 1099-1109.
- Zhu, J. (2002). Quantitative models for performance evaluation and bench marking: data envelopment analysis with spreadsheets. Boston: Kluwer Academic Publishers.