journal article·2022-08-10Open access

Cluster Analysis with K-Mean versus K-Medoid in Financial Performance Evaluation

Emilia Herman, Kinga-Emese Zsido, Veronika Fenyves

Applied Sciences· Volume 12· Issue 16

Abstract

Nowadays there is a large amount of information at our disposal, which is increasing day by day, and right now the question is not whether we have a method to process it, but which method is most effective, faster and best. When processing large databases, with different data, the formation of homogeneous groups is recommended. This paper presents the financial performance of Hungarian and Romanian food retail companies by using two well-known cluster analyzing methods (K-Mean and K-Medoid) based on ROS (Return on Sales), ROA (Return on Assets) and ROE (Return on Equity) financial ratios. The research is based on two complete databases, including the financial statements for five years of all retail food companies from one Hungarian and one Romanian county. The hypothesis of the research is: in the case of large databases with variable quantitative data, cluster analysis is necessary in order to obtain accurate results and the method chosen can bring different results. It is justified to think carefully about choosing a method depending on the available data and the research aim. The aim of this study is to highlight the differences between the results of these two grouping procedures. Using the two methods we reached different results, which means a different evaluation of financial performance. The results demonstrate that the method chosen for grouping may influence the assessment of the financial performance of companies: the K-Mean method produces a greater variety of groups and the range of results obtained after grouping is larger; whereas, the group distribution and the results obtained by the K-Medoid method are more balanced.
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Research context

OpenAlex topics: Data Mining Algorithms and Applications · Forecasting Techniques and Applications

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty of Economics and Law, George Emil Palade University of Medicine, Pharmacy, Science and Technology of Targu Mures, 540142 Targu Mures, Romania

Faculty of Economics and Business, University of Debrecen, 4032 Debrecen, Hungary

References (69)

Show source-provided references
1. Lukác, J., Teplická, K., Culková, K., and Hrehová, D. (2021). Evaluation of the financial performance of the municipalities in Slovakia in the context of multidimensional statistics. J. Risk Financ. Manag., 14.10.3390/jrfm14120570 ↗
2. An overview on clustering methods10.9790/3021-0204719725 ↗
3. Comparative Analysis of K-means and K-medoids algorithm on IRIS Data
4. Computational complexity between K-Means and K-Medoids clustering algorithms for normal and uniform distributions of data points10.3844/jcssp.2010.363.368 ↗
5. A simple and fast algorithm for K-medoids clustering10.1016/j.eswa.2008.01.039 ↗
6. Maimon, O., and Rockach, L. (2010). Outlier Detection. Data Mining and Knowledge Discovery Handbook: A Complete Guide for Practitioners and Researchers, Springer. [2nd ed.]. Available online: https://link.springer.com/chapter/10.1007/978-0-387-09823-4_7.10.1007/978-0-387-09823-4 ↗
7. Multivariate Outlier Detection: A comparison among two clustering techniques
8. What are the true clusters?10.1016/j.patrec.2015.04.009 ↗
9. Productive entrepreneurship in the EU and its barriers in transition economies: A cluster analysis
10. Three-phase classification of an uninterrupted traffic flow: A k-means clustering study
11. The importance of cluster analysis for enhancing clinical practice: An example from irritable bowel syndrome10.1080/09638237.2018.1437615 ↗
12. Clustering techniques and their applications in engineering10.1243/09544062JMES508 ↗
13. Providing a comprehensive model to measure the performance dimensions of industrial clusters using the hybrid approach of Q factor analysis and cluster analysis10.24874/IJQR13.01-14 ↗
14. Lemieux, V., Rahmdel, P.S., Walker, R., Wong, B.L.W., and Flood, M. (2014, January 22–27). Clustering techniques and their effect on portfolio formation and risk analysis. Proceedings of the DSMM’14: International Workshop on Data Science for Macro-Modeling, Snowbird, UT, USA.10.1145/2630729.2630749 ↗
15. Evaluation of clustering algorithms for financial risk analysis using MCDM methods10.1016/j.ins.2014.02.137 ↗
16. Research on financial early warning of mining listed companies based on BP neural network model10.1016/j.resourpol.2021.102223 ↗
17. A clustering method to identify representative financial ratios10.1016/j.ins.2007.09.016 ↗
18. Survey of clustering based financial fraud detection research
19. Using hierarchical clustering algorithms for Turkish residential market
20. Performance mapping in two-step cluster analysis through ESEG disclosures and EPS10.1108/K-08-2021-0672 ↗
21. Cai, F., Le-Khac, N.A., and Kechadi, M.T. (2012, January 15–18). Clustering Approaches for Financial Data Analysis. Proceedings of the 8th International Conference on Data Mining (DMIN 2012), Las Vegas, NV, USA. Available online: https://www.researchgate.net/publication/278409705_Clustering_Approaches_for_Financial_Data_Analysis/.
22. Clustering techniques in financial data analysis applications on the U.S. financial market
23. K-medoid clustering algorithm—A review
24. Medellu, J.V.C., and Nugraha, E.S. (2021, January 5–7). K-means and k-medoid algorithm application in clustering stock data in Indonesia. Proceedings of the Symposium on Data Science 2021, Petra, Jordan. Available online: http://e-journal.president.ac.id/presunivojs/index.php/SDS/article/view/1726/965.
25. Ikotun, A.M., Almutari, M.S., and Ezugwu, A.E. (2021). K-Means-Based Nature-Inspired Metaheuristic Algorithms for Automatic Data Clustering Problems: Recent Advances and Future Directions. Appl. Sci., 11.10.3390/app112311246 ↗
26. Managing retail chain profitability based on local competitive conditions: Preliminary analysis10.1108/09590550710828236 ↗
27. Exploratory study of insurance companies in selected post-transition countries: Non-hierarchical cluster analysis10.1007/s10100-017-0514-7 ↗
28. Herman, E. (2022). The interplay between digital entrepreneurship and sustainable development in the context of the EU digital economy: A multivariate analysis. Mathematics, 10.10.3390/math10101682 ↗
29. Pech, M., and Vrchota, J. (2020). Classification of Small- and Medium-Sized Enterprises Based on the Level of Industry 4.0 Implementation. Appl. Sci., 10.10.3390/app10155150 ↗
30. A comparative study of K-means and K-medoid clustering for social media text mining
31. Analysis of K-Means and K-Medoids algorithm for big data10.1016/j.procs.2016.02.095 ↗
32. Efficiency of K-Means and K-Medoids algorithms for clustering arbitrary data points
33. Dsouza, S., Dsouza, J.D., and Vanitha, T. (2017). Analysis of data using k-means and k-medoids algorithms. Int. J. Latest Trends Eng. Technol. Spec. Issue SACAIM, 370–373. Available online: https://www.ijltet.org/journal/151065795883.pdf.
34. Comparison of cluster number determination methods (Klaszterszám-meghatározási módszerek összehasonlítása)10.20311/stat2019.5.hu0421 ↗
35. Dzuba, S., and Krylov, D. (2021). Cluster analysis of financial strategies of companies. Mathematics, 9.10.3390/math9243192 ↗
36. Finding Number of Clusters before Finding Clusters10.1016/j.protcy.2012.05.004 ↗
37. Review on determining number of cluster in K-Means clustering
38. Applications of cluster analysis in marketing research (A klaszterelemzés alkalmazási lehetőségei a marketingkutatásban)
39. A study on financial performance of transport & warehouses firms listed on the Hanoi stock exchange10.18488/journal.29.2021.81.44.52 ↗
40. Herciu, M., Ogrean, C., and Belascu, L.A. (2010, January 26–28). Du Pont Analysis of the 20 Most Profitable Companies in the World. Proceedings of the 2010 International Conference on Business and Economics Research, Kuala Lumpur, Malaysia. Available online: http://www.ipedr.com/vol1/10-B00015.pdf.
41. Determinants of firm performance: A comparison of European countries
42. The impact of financial leverage on the profitability of real estate companies: A study from Vietnam stock exchange10.5267/j.msl.2019.7.023 ↗
43. Deloitte (2022, June 18). Global Powers of Retailing. Available online: https://www2.deloitte.com/content/dam/Deloitte/global/Documents/Consumer-Business/gx-global-power-retailing-2021.pdf.
44. Composite financial performance index prediction—A neural networks approach10.3846/jbem.2021.14000 ↗
45. Corporate governance and firm value of Kazakhstani companies in the conditions of economic instability
46. Financial performance determinants of organizations: The case of Mongolian companies
47. A two-dimensional sentiment analysis of online public opinion and future financial performance of publicly listed companies10.1007/s10614-021-10111-y ↗
48. Impact of financial leverage on sustainable growth, market performance, and profitability10.1007/s10644-021-09321-z ↗
49. On the profitability of Polish large agricultural holdings10.1556/032.2021.00007 ↗
50. Farm outcomes based on cluster analysis of compound farm evaluation10.17221/273/2020-AGRICECON ↗
51. De Blasio, V., Pavone, P., and Migliaccio, G. (2022). Cosmetics companies: Income developments in time of crisis. J. Small Bus. Enterp. Dev., ahead-of-print.10.1108/JSBED-11-2019-0369 ↗
52. Financial performance of Hungarian and Romanian retail food small businesses10.1108/BFJ-05-2019-0330 ↗
53. Internationalisation and financial performance: In the case of global automotive firms10.1108/RIBS-04-2020-0039 ↗
54. Khour, S., Elexa, L., Istok, M., and Rosova, A. (2019). A Study from Slovakia on the transfer of Slovak companies to tax havens and their impact on the sustainability of the status of a business entity. Sustainability, 11.10.3390/su11102803 ↗
55. Do clustered firms outperform the non-clustered? Evidence of financial performance in traditional industries
56. Are there differences in the financial performance of Czech and Slovak cluster organizations?
57. The time series clustering of stock price in LQ45 index and its financial performance analysis10.1088/1742-6596/1943/1/012129 ↗
58. Comparison of hierarchical and non-hierarchical clustering algorithms
59. Sajtos, L., and Mitev, A. (2007). SPSS Research and Data Analysis Manual (SPSS Kutatási és Adatelemzési Kézikönyv), Alinea Publishing House.
60. Corporate financial performance: A study based on the Carbon Efficient Index (ICO2) of Brazil stock exchange10.1007/s10668-021-01617-4 ↗
61. A Survey of Outlier Detection Methodologies10.1023/B:AIRE.0000045502.10941.a9 ↗
62. Hawkings, D. (1980). Identification of Outliers, Springer.10.1007/978-94-015-3994-4 ↗
63. Progress in outlier detection techniques: A survey10.1109/ACCESS.2019.2932769 ↗
64. The search of conditional outliers10.3233/IDA-173619 ↗
65. Unsupervised outlier detection in multidimensional data
66. (2022, June 04). Romanian Company Law 31/1990. Available online: https://legislatie.just.ro/Public/DetaliiDocument/56732.
67. National Institute of Statistics from Romania (2022, July 27). Statistical Data, Available online: https://insse.ro/cms/en.
68. (2022, July 27). Romanian Tax Code, Law no. 16 from 15 July 2022. Available online: https://legislatie.just.ro/Public/DetaliiDocument/257589.
69. Zsidó, K.E. (2018). Comparative Analysis of the Financial Performance for Retail Businesses in Hajdú-Bihar and Cluj County (Hajdú-Bihar és Kolozs Megyei Élelmiszer Jellegű Kiskereskedelmi Vállalkozások Pénzügyi Teljesítményének Összehasonlító Elemzése). [Ph.D. Thesis, University of Debrecen, Károly Ihrig Doctoral School of Management and Business]. Available online: https://dea.lib.unideb.hu/dea/handle/2437/2265/browse?value=Zsid%C3%B3%2C+Kinga+Emese&type=author.