Volume 3, Issue 5, October 2015, Page: 225-229
Application of Logistic Regression Model in an Epidemiological Study
Renhao Jin, School of Information, Beijing Wuzi University, Beijing, China
Fang Yan, School of Information, Beijing Wuzi University, Beijing, China
Jie Zhu, School of Information, Beijing Wuzi University, Beijing, China
Received: Jul. 13, 2015;       Accepted: Jul. 22, 2015;       Published: Sep. 17, 2015
DOI: 10.11648/j.sjams.20150305.12      View  3386      Downloads  108
Abstract
This paper use the logistic regression model to an epidemiological study, i.e. bovine tuberculosis (bTB) occurrence in cattle herds, together with well-established risk factors in the area known as West Wicklow, in the east of Ireland. The binary target variable is whether the herd is in the restricted status, which is defined by whether any bTB reactor is detected in the herd. With the stepwise variables selection procedure, a final logistical regression model is found to adequately describe the data. Herd bTB incidence was positively associated with annual total rainfall, herd size and a herd bTB history in the previous three years, and presence /absence of commonage.
Keywords
Logistic Regression, Bovine Tuberculosis, Stepwise Variables Selection
To cite this article
Renhao Jin, Fang Yan, Jie Zhu, Application of Logistic Regression Model in an Epidemiological Study, Science Journal of Applied Mathematics and Statistics. Vol. 3, No. 5, 2015, pp. 225-229. doi: 10.11648/j.sjams.20150305.12
Reference
[1]
Biondo S., Ramos E., Deiros M. et al. Prognostic factors for mortality in left colonic peritonitis: a new scoring system // J. Am. Coll. Surg. – 2000. – Vol. 191, No. 6. – Р. 635-642.
[2]
Boyd, C. R.; Tolson, M. A.; Copes, W. S. (1987). "Evaluating trauma care: The TRISS method. Trauma Score and the Injury Severity Score". The Journal of trauma 27 (4): 370–378.
[3]
Collett, D., 2002, Modelling binary data. Chapman & Hall/CRC, London, 129-213 pp.
[4]
Cox, DR (1958). "The regression analysis of binary sequences (with discussion)". J Roy Stat Soc B 20: 215–242.
[5]
David A. Freedman (2009). Statistical Models: Theory and Practice. Cambridge University Press. p. 128.
[6]
Gareth James; Daniela Witten; Trevor Hastie; Robert Tibshirani (2013). An Introduction to Statistical Learning. Springer. p. 6.
[7]
Gordejo, R. F. J., Vermeersch, J. P., 2006. Towards eradication of bovine tuberculosis in the European Union. European Union Veterinary Microbiology 112, 101-109.
[8]
Griffin, J. M., Hahesya, T., Lyncha, T., M. D. Salmanb, M. D., McCarthya, J., Hurleya, T., 1993. The association of cattle husbandry practices, environmental factors and farmer characteristics with the occurence of chronic bovine tuberculosis in dairy herds in the Republic of Ireland. Preventive Veterinary Medicine 17, 145-160.
[9]
Griffin, J. M., Williams, D. H., Kelly, G. E., Clegg, T. A., O’ Boyle, I., Collins, J. D., More, S. J., 2005. The impact of badger removal on the control of tuberculosis in cattle herds in Ireland. Preventive Veterinary Medicine 67, 237–266.
[10]
Hahesy, T., Kelleher, D. L., Doherty, J., 1992. An investigation of a possible association between the occurrence of bovine tuberculosis and weather variables. Irish Veterinary Journal 45, 127-128.
[11]
Kattamuri Sarma, 2013. Predictive Modeling with SAS Enterprise Miner: Practical Solutions for Business Applications, Second Edition. NC: SAS Institute Inc, Cary.
[12]
Kologlu M., Elker D., Altun H., Sayek I. Valdation of MPI and OIA II in two different groups of patients with secondary peritonitis // Hepato-Gastroenterology. – 2001. – Vol. 48, No. 37. – P. 147-151.
[13]
Ma, E., Lam, T., Wong, C., Chuang, S. K., 2010. Is hand, foot and mouth disease associated with meteorological parameters?. Epidemiology and Infection 138, 1779-1788.
[14]
Mardia, K. and Marshall, R. (1984). Maximum likelihood estimation of models for residual covariance in spatial regression. Biometrika 71, 135--146.
[15]
Richardson, S. and He´ mon, D. (1981). On the variance of the sample correlation between two independent lattice processes. Journal of Applied Probability 18, 943--948.
[16]
SAS Institute Inc, 2013. SAS/STAT® 9.4 User’s Guide: The GLIMMIX Procedure (Book Excerpt). NC: SAS Institute Inc, Cary.
[17]
SAS Institute Inc, 2013. SAS/STAT® 9.4 User’s Guide: The Logistic Procedure (Book Excerpt). NC: SAS Institute Inc, Cary.
[18]
Tiefelsdorf, M. and Boots, B. (1995). The exact distribution of Moran’s I. Environment and Planning A 27, 985--999.
[19]
Walker, SH; Duncan, DB (1967). "Estimation of the probability of an event as a function of several independent variables". Biometrika 54: 167–178.
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