Published

2023-01-01

Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences

Modelo de regresión logística circular robusto y su aplicación a las ciencias de la vida y sociales

DOI:

https://doi.org/10.15446/rce.v46n1.101517

Keywords:

Circular data, Circular logistic regression, Maximum likelihood estimation, Multinomial circular logistic regression, Robustness (en)
Datos circulares, Regresión logística circular, Regresión logística circular multinomial, Estimación de máxima verosimilitud, Robustez (es)

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This paper presents robust estimators for binary and multinomial circular logistic regression, where a circular predictor is related to the response. An extensive Monte Carlo Simulation Study clearly shows the robustness of proposed methods. Finally, three numerical examples of Botany, Crime and Meteorology illustrate the application of these methods to Life and Social Sciences. Although in the Botany data the proposed method showed little improvement, in the Crime and Meteorological data an increment up to 5\% and 4\% of accuracy, respectively, is achieved.

Este artículo presenta estimadores robustos para el modelo de regresión logística circular binomial y mutinomial. Un estudio de Monte Carlo muestra la robustez de los métodos propuestos. Finalmente, tres ejemplos numéricos en botánica, criminalística y meteorología muestran la aplicación de estos modelos a las Ciencias.

References

Abuzaid, A. H. & Allahham, N. R. (2015), 'Simple circular regression model assuming wrapped cauchy error', Pakistan Journal of Statistics 31(4).

Al-Daffaie, K. & Khan, S. (2017), Logistic regression for circular data, in 'AIP Conference Proceedings', vol. 1842, AIP Publishing LLC, p. 030022. DOI: https://doi.org/10.1063/1.4982860

Alshqaq, S. S., Ahmadini, A. A. & Abuzaid, A. H. (2021), 'Some new robust estimators for circular logistic regression model with applications on meteorological and ecological data', Mathematical Problems in Engineering 2021. DOI: https://doi.org/10.1155/2021/9944363

Ashby, M. P. (2019), 'Studying crime and place with the crime open database: Social and behavioural scienes', Research Data Journal for the Humanities and Social Sciences 4(1), 65-80. DOI: https://doi.org/10.1163/24523666-00401007

Bell, K. (2008), Analysing Cycles in Biology and Medicine-a practical introduction to circular variables & periodic regression, Razorbill Press, St. John's.

Berkson, J. (1944), 'Application of the logistic function to bio-assay', Journal of the American statistical association 39(227), 357-365. DOI: https://doi.org/10.1080/01621459.1944.10500699

Castilla, E. (2022), 'Robust estimation of the spherical normal distribution', Mathematica Applicanda 50(1), 43-63. DOI: https://doi.org/10.14708/ma.v50i1.7119

Castilla, E. & Chocano, P. J. (2022), 'A new robust approach for multinomial logistic regression with complex design model', IEEE Transactions on Information Theory 68(11), 7379-7395. DOI: https://doi.org/10.1109/TIT.2022.3187063

Chianucci, F., Pisek, J., Raabe, K., Marchino, L., Ferrara, C. & Corona, P. (2018), 'A dataset of leaf inclination angles for temperate and boreal broadleaf woody species', Annals of Forest Science 75(2), 1-7. DOI: https://doi.org/10.1007/s13595-018-0730-x

Cressie, N. & Read, T. R. (1984), 'Multinomial goodness-of-fit tests', Journal of the Royal Statistical Society: Series B (Methodological) 46(3), 440-464. DOI: https://doi.org/10.1111/j.2517-6161.1984.tb01318.x

Gill, J. & Hangartner, D. (2010), 'Circular data in political science and how to handle it', Political Analysis 18(3), 316-336. DOI: https://doi.org/10.1093/pan/mpq009

Hauberg, S. (2018), Directional statistics with the spherical normal distribution, in '2018 21st International Conference on Information Fusion (FUSION)', IEEE, pp. 704-711. DOI: https://doi.org/10.23919/ICIF.2018.8455242

Jones, M. & Pewsey, A. (2012), 'Inverse Batschelet distributions for circular data', Biometrics 68(1), 183-193. DOI: https://doi.org/10.1111/j.1541-0420.2011.01651.x

Kibiak, T. & Jonas, C. (2007), 'Applying circular statistics to the analysis of monitoring data', European Journal of Psychological Assessment 23(4), 227-237. DOI: https://doi.org/10.1027/1015-5759.23.4.227

Kullback, S. & Leibler, R. A. (1951), 'On information and suficiency', The Annals of Mathematical Statistics 22(1), 79-86. DOI: https://doi.org/10.1214/aoms/1177729694

Landler, L., Ruxton, G. D. & Malkemper, E. P. (2018), 'Circular data in biology: advice for effectively implementing statistical procedures', Behavioral ecology and sociobiology 72(8), 1-10. DOI: https://doi.org/10.1007/s00265-018-2538-y

Lindsay, B. G. (1994), 'Eficiency versus robustness: the case for minimum Hellinger distance and related methods', The annals of statistics 22(2), 1081-1114. DOI: https://doi.org/10.1214/aos/1176325512

Mardia, K. & Zemroch, P. (1975), 'Algorithm AS 86: The von Mises distribution function', Journal of the Royal Statistical Society. Series C (Applied Statistics) 24(2), 268-272. DOI: https://doi.org/10.2307/2346578

Morel, J. G. (1989), 'Logistic regression under complex survey designs', Survey Methodology 15(2), 203-223.

Open Data (2019), 'Portale open data della regione siciliana'. https://dati.regione.sicilia.it/

Rousseeuw, P. J., Hampel, F. R., Ronchetti, E. M. & Stahel, W. A. (2011), Robust statistics: the approach based on influence functions, John Wiley & Sons.

SenGupta, A. & Ugwuowo, F. I. (2006), 'Asymmetric circular-linear multivariate regression models with applications to environmental data', Environmental and Ecological Statistics 13(3), 299-309. DOI: https://doi.org/10.1007/s10651-005-0013-1

Skinner, C. J. et al. (1992), 'Pseudo-likelihood and quasi-likelihood estimation for complex sampling schemes', Computational statistics & data analysis 13(4), 395-405. DOI: https://doi.org/10.1016/0167-9473(92)90114-U

Uemura, M., Meglic, A., Zalucki, M. P., Battisti, A. & Belusic, G. (2021), 'Spatial orientation of social caterpillars is influenced by polarized light', Biology Letters 17(2), 20200736. DOI: https://doi.org/10.1098/rsbl.2020.0736

Wolpert, N. & Tallon-Baudry, C. (2021), 'Coupling between the phase of a neural oscillation or bodily rhythm with behavior: Evaluation of different statistical procedures', NeuroImage 236, 118050. DOI: https://doi.org/10.1016/j.neuroimage.2021.118050

How to Cite

APA

Castilla, E. (2023). Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences. Revista Colombiana de Estadística, 46(1), 45–62. https://doi.org/10.15446/rce.v46n1.101517

ACM

[1]
Castilla, E. 2023. Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences. Revista Colombiana de Estadística. 46, 1 (Jan. 2023), 45–62. DOI:https://doi.org/10.15446/rce.v46n1.101517.

ACS

(1)
Castilla, E. Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences. Rev. colomb. estad. 2023, 46, 45-62.

ABNT

CASTILLA, E. Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences. Revista Colombiana de Estadística, [S. l.], v. 46, n. 1, p. 45–62, 2023. DOI: 10.15446/rce.v46n1.101517. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/101517. Acesso em: 18 may. 2024.

Chicago

Castilla, Elena. 2023. “Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences”. Revista Colombiana De Estadística 46 (1):45-62. https://doi.org/10.15446/rce.v46n1.101517.

Harvard

Castilla, E. (2023) “Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences”, Revista Colombiana de Estadística, 46(1), pp. 45–62. doi: 10.15446/rce.v46n1.101517.

IEEE

[1]
E. Castilla, “Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences”, Rev. colomb. estad., vol. 46, no. 1, pp. 45–62, Jan. 2023.

MLA

Castilla, E. “Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences”. Revista Colombiana de Estadística, vol. 46, no. 1, Jan. 2023, pp. 45-62, doi:10.15446/rce.v46n1.101517.

Turabian

Castilla, Elena. “Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences”. Revista Colombiana de Estadística 46, no. 1 (January 18, 2023): 45–62. Accessed May 18, 2024. https://revistas.unal.edu.co/index.php/estad/article/view/101517.

Vancouver

1.
Castilla E. Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences. Rev. colomb. estad. [Internet]. 2023 Jan. 18 [cited 2024 May 18];46(1):45-62. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/101517

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