APPLICATION OF BINOMIAL AND BETA-BINOMIAL REGRESSION MODELS ON INCIDENCE OF DIARRHEA AMONG CHILDREN AGED 6-59 MONTHS IN MIESSO DISTRICT, OROMIA, ETHIOPIA
DOI:
https://doi.org/10.48165/Keywords:
Binomial regression, β-binomial regression, over dispersion, diarrhea, children, Miesso, EthiopiaAbstract
In binomial regression analysis model dependent variable follows a binomial distribution. β-binomial model is a regression model for outcomes following the β-binomial probability distribution. The aim of present study was to fit binomial regression and beta-binomial regression models for incidence of diarrhea, a prominent cause of health disorders/ deaths in under-five year age children. The study was conducted in the children aged 6-59 months in Miesso Wereda, Oromia, Ethiopia from June to September 2017. The data used was obtained from a cross-sectional study using well-structured questionnaires. The Predictors used for the current study were child sex, household food security status, sources of drinking water, and toilet ownership status. Binomial and β-binomial models were fitted to identify the significant predictors. The over dispersion status of the data was tested and revealed that there was no over-dispersion and the fitted models had similar Akaiki information criteria and Bayesian information Criteria with similar results. The source of water (pipe water) and having toilet facility significantly affected the incidence of diarrhea among the studied group of children. The study recommended that giving attention to environmental sanitation and creating pure water facility shall reduce diarrhea incidence in children.
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Agresti, A. 2002. Categorical Data Analysis (2nd edn.). John Wiley & Sons, New Jersey, USA. Alebel, A., Tesema, C., Temesgen, B., Gebrie, A., Petrucka, P. and Kibret, G.D. 2018. Prevalence and determinants of diarrhea among under-five children in Ethiopia: A systematic review and meta-analysis. PLoS One 13(6): e0199684. [https://doi. org/10.1371/journal.pone.0199684]. Andrew, G., John, B., Carlin, Hal S., Stern, D.B. Dunson, A.V. and Donald, B.R. 2014. Bayesian Data Analysis (3rd edn). Taylor & Francis, New York, USA.
Central Statistical Agency (CSA). 2013. Population Projection of Ethiopia for All Regions at Wereda Level from 2014-2017. Ethiopian Statistics Services, Addis Ababa, Ethiopia. Chisenga, C., Bosomprah, S., Laban, N., Mwila, K.M.J., Simuyandi, M. and Chilengi, R. 2018. Aetiology of diarrhoea in children under five in Zambia detected using Luminex x TAG gastrointestinal pathogen panel. Pediatric Infectious Diseases, 3(2): 1-6.
Demetrio, C. and Hinde, J. 1998. Over-dispersion: Models and estimation. Computational Statistics and Data Analysis, 27: 151-170.
Deribew, A., Tessema, G.A., Deribe, K., Melaku, Y.A., Lakew, Y., Amare, A.T., Abera, S.F., Mohammed, M., Hiruye, A., Teklay, E., Misganaw, A. and Kassebaum, N. 2016. Trends, causes, and risk factors of mortality among children under 5 in Ethiopia, 1990-2013: Findings from the global burden of disease study 2013. Population Health Metrics, 14(1): 42. [https://pophealthmetrics.biomedcentral.com/articles/10.1186/s12963-016-0112-2].
Edilberto, C.C. and María, V.C. 2017. Double generalized beta-binomial and negative binomial regression models. Revista Colombiana de Estadística, 40(1): 141. [http://dx.doi.org/10.15446/rce.v40n1.61779].
Gashaw, T.A. and Walie, Y.M. 2019. Prevalence and determinate factors of diarrhea morbidity among under five children in shake zone, Southwest Ethiopia, a community based cross sectional study. Archives of Community Medicine and Public Health, 5(1): 8-14.
Application of binomial and β-binomial regression models 353
Getachew, A., Guadu, T., Tadie, A., Gizaw, Z., Gebrehiwot, M. and Cherkos, D.H. 2018. Diarrhea prevalence and sociodemographic factors among under-five children in rural areas of North Gondar zone, Northwest Ethiopia. International Journal of Pediatrics, 2018: 6031594, 8 [https://doi.org/10.1155/2018/6031594].
Hardin, J.W. and Hilbe, J.M. 2014. Estimation and testing of binomial and beta-binomial regression models with and without zero inflation. The Stata Journal, 14(2): 292-303.
Hilbe, J.M. 2013. Beta Binomial Regression. [https://works.bepress.com/joseph_hilbe/43/]. Hosmer, D.W. and Lemeshow, S. 2000. Applied Logistic Regression. (2nd edn). Wiley-Interscience/ John Wiley & Sons, New Jersey, USA.
Liu, L., Oza, S., Hogan, D., Perin, J., Rudan, I. and Lawn, J.E. 2015. Global, regional, and national causes of child mortality in 2000-2013, with projections to inform post-2015 priorities: An updated systematic analysis. Lancet, 385(9966): 430-440.
Martinez, E.Z., Achcar, J.A. and Aragon, D.C. 2015. Parameter estimation of the beta-binomial distribution: An application using the SAS software. Ciência e Natura, 374: 12-19. [https://doi.org/10.5902/2179460X17512].
Natnael, T., Lingerew, M. and Adane, M. 2021. Prevalence of acute diarrhea and associated factors among children under five in semi-urban areas of northeastern Ethiopia. BMC Pediatrics, 21: 290-300. [https://doi.org/10.1186/s12887-021-02762-5].
Peter Congdon, 2003. Applied Bayesian Modelling. John Wiley & Sons, London, England. Ross, S. 2010. A First Course in Probability (8th edn.). Prentice-Hall, New Jersey, USA. Shine, S., Muhamud, S., Adanew, S., Demelash, A. and Abate, M. 2018. Prevalence and associated
factors of diarrhea among under-five children in Debre Berhan town, Ethiopia: A cross sectional study. BMC Infectious Diseases, 20: 174-179.
Soong, T.T. 2004. Fundamentals of Probability and Statistics for Engineers. John Wiley & Sons, Chichester, Sussex, England
Tesfaye, S.T., Magarsa, A.U. and Zeleke, T. M. 2020. Moderate to severe diarrhea and associated factors among under-five children in Wonago district, South Ethiopia: A cross-sectional study. Pediatric Health, Medicine and Therapeutics, 11: 437-443. Dove Press. London, UK.
UNICEF. 2016. One is too many. pp. 1-77. In: Ending Child Deaths from Pneumonia and Diarrhea. UNICEF, New York, USA.
Weisberg, S. 2005. Applied Linear Regression (3rd edn). John Wiley & Sons, New Jersey, USA. WHO. 2017. Diarrheal Disease Fact Sheet. World Health Organization, Geneva, Switzerland [https://www.who.int/news-room/fact-sheets/detail/diarrhoeal-disease].
Williams, D. 1975. The analysis of binary responses from toxicological experiments involving reproduction and teratogenicity. Biometrics, 31(4): 949-952.