On Gower Similarity Coefficient and Missing Values

• Autorzy: Kryszkiewicz Marzena

Identyfikatory

DOI

10.15439/2023F3575

• Języki publikacji: EN

Abstrakty

EN

The Gower similarity coefficient is a popular measure for comparing objects with possibly mixed type attributes and missing values. One of its characteristics is that it calculates the coefficient value without considering attributes with missing values. In this article, we explore the properties of coefficient in detail, including the consequences of omitting attributes with missing values. We also introduce strict lower and upper bounds on the Gower similarity coefficient, derive a number of their properties and propose a solution to the identified problem with the Gower similarity coefficient.

Słowa kluczowe

EN

Gower similarity; mixed-type attribute; quantitative attribute; qualitative attributes; dichotomous attributes; missing values

PL

algorytm Gowera; atrybuty ilościowe; atrybuty jakościowe; atrybuty dychotomiczne; brakujące wartości

• Wydawca: Polskie Towarzystwo Informatyczne
• Czasopismo: Annals of Computer Science and Information Systems
• Rocznik: 2023
• Tom: Vol. 35
• Strony: 1035--1040
• Opis fizyczny: Bibliogr. 8 poz., tab., rys.

Twórcy

autor

Kryszkiewicz Marzena

• Warsaw University of Technology, Institute of Computer Science, Nowowiejska 15/19, 00-665 Warsaw, Poland

• https://orcid.org/0000-0003-4736-4031

Bibliografia

• 1. B. Ben Ali, Y. Massmoudi, “K-means clustering based on gower similarity coefficient: A comparative study,” 2013 5th International Conference on Modeling, Simulation and Applied Optimization, ICMSAO 2013. https://doi.org/10.1109/ICMSAO.2013.6552669.
• 2. S. S. K J. Chae and W. Y. Yang, “Cluster analysis with balancing weight on mixed-type data,” The Korean Communications in Statistics, vol. 13, no. 3, 2006, pp. 719–732, http:\\http://dx.doi.org/10.5351/CKSS.2006.13.3.719.
• 3. J. Fontecha, R. Hervás, and J. Bravo, “Mobile Services Infrastructure for Frailty Diagnosis Support based on Gower’s Similarity Coefficient and Treemaps,” Mobile Information Systems, vol. 10, Article ID 728315, 20 pages, 2014. https://doi.org/10.1155/2014/728315.
• 4. J. C. Gower, “A General Coefficient of Similarity and Some of Its Properties, Biometrics, “ Vol. 27, No. 4. (Dec., 1971), pp. 857-871, https://doi.org/10.2307/2528823.
• 5. S. Pavoine, J. Vallet, A.-B. Dufour, S. Gachet, and H. Daniel, “On the challenge of treating various types of variables: application for improving the measurement of functional diversity,” Oikos, 118(3) 2009, pp. 391-402, https://doi.org/10.1111/j.1600-0706.2008.16668.x.
• 6. G. Philip and B. S. Ottaway, “Mixed data cluster analysis: an illustration using cypriot hooked-tang weapons, “ Archaeometry, vol. 25, no. 2, 1983, pp. 119–133, https://doi.org/10.1111/j.1475-4754.1983.tb00671.x.
• 7. J. Podani and D. Schmera: "Generalizing resemblance coefficients to accommodate incomplete data," Ecological Informatics 66 (2021) 101473, https://doi.org/10.1016/j.ecoinf.2021.101473
• 8. G. Tuerhong and S. B. Kim, “Gower distance-based multivariate control charts for a mixture of continuous and categorical variables,” Expert Systems with Applications, 41(4 PART 2), 2014, pp. 1701–1707, https://doi.org/10.1016/j.eswa.2013.08.068.

Uwagi

1. Thematic Tracks Short Papers

2. Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).