American Journal of Theoretical and Applied Statistics

| Peer-Reviewed |

Comparison of Logistic Regression and Linear Discriminant Analyses of the Determinants of Financial Sustainability of Rural Banks in Ghana

Received: 8 February 2016    Accepted: 18 February 2016    Published: 4 March 2016
Views:       Downloads:

Share This Article

Abstract

Financial Sustainability is a primary issue for successful rural and community banks’ services. Establishing a system of sustained provision of modern financial services has, however, been challenging and most controversial. Several studies have been conducted on the determinants of sustainability of institutions in various countries. However, the levels of significance of the factors that influence financial sustainability of banks vary with studies. In addition, the results are mixed and empirical evidence regarding the determinants of rural and community banks’ sustainability is also missing. The objective of this study therefore was to develop a model which could be used to identify likely future rural and community banks that are non-sustainable. This study examined the determinants of financial sustainability of Rural and community banks using discriminant analysis (LDA) and logistic regression (LR) models.

DOI 10.11648/j.ajtas.20160502.12
Published in American Journal of Theoretical and Applied Statistics (Volume 5, Issue 2, March 2016)
Page(s) 49-57
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Rural and Community Banks, Linear Discriminant Analysis, Logistic Regression, Financial Sustainability

References
[1] Agresti, Alan (1996). An Introduction to Categorical Data Analysis. NY: John Wiley.
[2] Ajai, N and Azeb, F. (2010). Rural Banking: The Case of Rural and Community Banks in Ghana. Agriculture and Rural Development Discussion Paper 48.
[3] Altman, E. I.; R. Eisenbeis, (1987) "Financial Applications of Discriminant Analysis: A Clarification," Journal of Financial and Quantitative Analysis
[4] Aryeetey, Ernest. 1996. “Rural Finance in Africa: Institutional Developments and Access for the Poor,” in The Annual World Bank Conference on Development Economics 1996, edited by M. Bruno and B. Pleskovic. The World Bank, Washington, DC: 149-188.
[5] Baron, A. E. (1991). Misclassification among methods used for multiple group discrimination: The effects of distributional properties. Statistics in Medicine, 10, 757-766.
[6] Bayne, C. K., Beauchamp, J. J., Kane, V. E., and McCabe, G. P. (1983). Assessment of Fisher and logistic linear and quadratic discrimination models. Computational Statistics and Data Analysis, 1, 257-273.
[7] Bowman, Woods, “Financial Capacity and Sustainability of Ordinary Nonprofits,” Nonprofit Management and Leadership, Vol. 22, No. 1, Fall 2011, pp. 37–51.
[8] Cleary, P. D., and Angel, R. (1984). The analysis of relationships involving dichotomous dependent variables. Journal of Health and Social Behavior, 25, 334-348.
[9] Cox, D. R., and Snell, E. J. (1989). The analysis of binary data (2nd Ed.). London: Chapman and Hall Dattalo, P. (1994). A comparison of discriminant analysis and logistic regression. Journal of Social Service Research, 19, 121-144.
[10] Dey, E. L., and Astin, A. W. (1993). Statistical alternatives for studying college student retention: A comparative analysis of logit, probit, and linear regression. Research in Higher Education, 34, 569-581.
[11] Dowling, L, (2011): The Indian Microfinance Institutions (Development and Regulation) Bill of 2011: Microfinance Beginnings and Crisis and How the Indian Government is Trying to Protect Its People... International Lawyer, Winter2011, Vol. 45 Issue 4, p1083-1091, 9p.
[12] Efron, B. (1975). The efficiency of logistic regression compared to normal discriminant analysis. Journal of the American Statistical Association, 70, 892-898.
[13] Essel, Thomas T. 1996. “The Credit Lending Operations of Rural Banks and Their Impact on Rural Development: a Case Study of Kakum Rural Bank” (Unpublished M. Phil. thesis on file at the Department of Development Studies, University of Cape Coast, Cape Coast, Ghana).
[14] Fraser, M. W., Jensen, J. M., Kiefer, D., and Popuang, C. (1994). Statistical methods for the analysis of critical events. Social Work Research, 18(3), 163-177.
[15] Hackler, Darrene, and Gregory D. Saxton, “The Strategic Use of Information Technology by Nonprofit Organizations: Increasing Capacity and Untapped Potential,” Public Administration Review, Vol. 67, No. 3, 2007, pp. 474–487.
[16] Harrell, F. E., Jr., and Lee, K. L. (1985). A comparison of the discrimination of discriminant analysis and logistic regression under multivariate normality. In P. K.
[17] Sen (Ed.), Biostatistics: Statistics in biomedical, public health and environmental sciences (pp. 333-343). Amsterdam: North Holland.
[18] Johnson, B., and Seshia, S. S. (1992). Discriminant analysis when all variables are ordered. Statistics in Medicine, 11, 1023-1032.
[19] Knoke, J. D. (1982). Discriminant analysis with discrete and continuous variables. Biometrics. Vol. 38, pp. 191-200.
[20] Meshbane, A., and Morris, J. D. (1996, April). Predictive discriminant analysis versus logistic regression in two-group classification problems. Paper presented at the annual meeting of the American Educational Research Association, New York. (ERIC
[21] Documentation Reproduction Services No. ED 400 280) Press, S. J. and Wilson, S. (1978). Choosing between logistic and discriminant analysis. Journal of American Statistical Association. Vol. 73, pp. 699-705.
[22] Imam Ghozali (2006). Aplikasi Analisa Multivariate Dengan Program SPSS. Badan Penerbit Universitas Diponegoro, Semarang Indonesia.
[23] Johnson R. A., and Wichern, D. W. (1988). Applied multivariate statistical analysis (2nd Ed.).
[24] Englewood Cliffs, NJ: Prentice Hall.
[25] Kevin Keasey and Robert Watson (1986), “Current Cost Accounting and the Prediction of Small Company Performance” Journal of Business Finance & Accounting. Oxford: Vol. 13, Issue. 1; pg. 51.
[26] Muhammad Rubini Kertapati, Nuradli Ridzwan Shah and Abdul Hadi, (2004) “Evaluating Company’s Performances Using Multiple Discriminant Analysis” UIBMC Hyatt Hotel Kuantan.
[27] Neter, J., Wasserman, W., and Kutner, M. H. (1989). Applied linear regression models (2nd Ed.). Boston: Irwin.
[28] Stevens, J. (1996). Applied multivariate statistics for the social sciences (3rd Ed.). Mahwah, NJ: Erlbaum.
[29] Tabachnick, B. G., and Fidell, L. S. (1996). Using multivariate statistics (3rd Ed.). New York: HarperCollins.
[30] Toshiyuki Sueyoshi and Shiuh-San Hwang (2004) “A Use of Nonparametric Tests for DEA-Discriminant Analysis: A Methodological Comparison” Asia-Pacific Journal of Operational Research, Vol. 21, No. 2 179-195.
[31] Wilson, R. L., and Hargrave, B. C. (1995). Predicting graduate student success in an MBA program: Regression versus classification. Educational and Psychological Measurement, 55, 186–195.
[32] Yeboah, Abor. 1994. “Can Ghana's Rural Banks Be Used to Stimulate Peasant Agriculture” The Case of the Kaaseman Rural Bank and its Cocoa-farming Customers’ (Unpublished B. Com. thesis on file at Department of Economics & Business Studies, University of Cape Coast, Cape Coast, Ghana).
[33] Cowart, T. W., Lirely, R. and Avery, S. (2014) Two Methodologies for Predicting Patent Litigation Outcomes: Logistic Regression Versus Classification Trees. American Business Law Journal. 51, 843-877.
[34] Ben Bouallègue, Z., 2013: Calibrated short-range ensemble pre-cipitation forecasts using extended logistic regression with interaction terms. Weather Forecasting, 28, 515–524.
[35] Jakob W. Messner, Georg J. Mayr, Achim Zeileis, and Daniel S. Wilks, 2014: Heteroscedastic Extended Logistic Regression for Postprocessing of Ensemble Guidance. Mon. Wea. Rev., 142, 448–456. doi: http://dx.doi.org/10.1175/MWR-D-13-00271.1.
Cite This Article
  • APA Style

    Godfred Kwame Abledu, Akuffo Buckman, Thomas Adade, Samuel Kwofie. (2016). Comparison of Logistic Regression and Linear Discriminant Analyses of the Determinants of Financial Sustainability of Rural Banks in Ghana. American Journal of Theoretical and Applied Statistics, 5(2), 49-57. https://doi.org/10.11648/j.ajtas.20160502.12

    Copy | Download

    ACS Style

    Godfred Kwame Abledu; Akuffo Buckman; Thomas Adade; Samuel Kwofie. Comparison of Logistic Regression and Linear Discriminant Analyses of the Determinants of Financial Sustainability of Rural Banks in Ghana. Am. J. Theor. Appl. Stat. 2016, 5(2), 49-57. doi: 10.11648/j.ajtas.20160502.12

    Copy | Download

    AMA Style

    Godfred Kwame Abledu, Akuffo Buckman, Thomas Adade, Samuel Kwofie. Comparison of Logistic Regression and Linear Discriminant Analyses of the Determinants of Financial Sustainability of Rural Banks in Ghana. Am J Theor Appl Stat. 2016;5(2):49-57. doi: 10.11648/j.ajtas.20160502.12

    Copy | Download

  • @article{10.11648/j.ajtas.20160502.12,
      author = {Godfred Kwame Abledu and Akuffo Buckman and Thomas Adade and Samuel Kwofie},
      title = {Comparison of Logistic Regression and Linear Discriminant Analyses of the Determinants of Financial Sustainability of Rural Banks in Ghana},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {5},
      number = {2},
      pages = {49-57},
      doi = {10.11648/j.ajtas.20160502.12},
      url = {https://doi.org/10.11648/j.ajtas.20160502.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20160502.12},
      abstract = {Financial Sustainability is a primary issue for successful rural and community banks’ services. Establishing a system of sustained provision of modern financial services has, however, been challenging and most controversial. Several studies have been conducted on the determinants of sustainability of institutions in various countries. However, the levels of significance of the factors that influence financial sustainability of banks vary with studies. In addition, the results are mixed and empirical evidence regarding the determinants of rural and community banks’ sustainability is also missing. The objective of this study therefore was to develop a model which could be used to identify likely future rural and community banks that are non-sustainable. This study examined the determinants of financial sustainability of Rural and community banks using discriminant analysis (LDA) and logistic regression (LR) models.},
     year = {2016}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Comparison of Logistic Regression and Linear Discriminant Analyses of the Determinants of Financial Sustainability of Rural Banks in Ghana
    AU  - Godfred Kwame Abledu
    AU  - Akuffo Buckman
    AU  - Thomas Adade
    AU  - Samuel Kwofie
    Y1  - 2016/03/04
    PY  - 2016
    N1  - https://doi.org/10.11648/j.ajtas.20160502.12
    DO  - 10.11648/j.ajtas.20160502.12
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
    SP  - 49
    EP  - 57
    PB  - Science Publishing Group
    SN  - 2326-9006
    UR  - https://doi.org/10.11648/j.ajtas.20160502.12
    AB  - Financial Sustainability is a primary issue for successful rural and community banks’ services. Establishing a system of sustained provision of modern financial services has, however, been challenging and most controversial. Several studies have been conducted on the determinants of sustainability of institutions in various countries. However, the levels of significance of the factors that influence financial sustainability of banks vary with studies. In addition, the results are mixed and empirical evidence regarding the determinants of rural and community banks’ sustainability is also missing. The objective of this study therefore was to develop a model which could be used to identify likely future rural and community banks that are non-sustainable. This study examined the determinants of financial sustainability of Rural and community banks using discriminant analysis (LDA) and logistic regression (LR) models.
    VL  - 5
    IS  - 2
    ER  - 

    Copy | Download

Author Information
  • Department of Applied Mathematics, Faculty of Applied Sciences and Technology, Koforidua Polytechnic, Koforidua, Ghana

  • Department of Applied Mathematics, Faculty of Applied Sciences and Technology, Koforidua Polytechnic, Koforidua, Ghana

  • Department of Accountancy, Faculty of Business and Management Studies, Ho Polytechnic, Ho, Ghana

  • Department of Applied Mathematics, Faculty of Applied Sciences and Technology, Koforidua Polytechnic, Koforidua, Ghana

  • Sections