International Journal of Statistics and Applications 2017, 7(2): 113-116 DOI: 10.5923/j.statistics.20170702.06 Poisson Regression Model on Infant Mortality Occurrence and Incidence in the Kumasi District of Ghana L. Tetteh-Ahinakwa * , F. T. Oduro Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana Abstract This paper assesses the significance of occurrence and incidence of infant mortality in the Kumasi district, a suburb of the Ashanti Region of Ghana, from 2008 to 2014 using the poisson regression model. Data was collected from the Ghana Health Service (GHS) District Office in Kumasi. The poisson regression model was used to determine the improvement of infant mortality during the years understudy with reference to the year 2014. Results show that the mean number infant mortality is higher in 2008, 2009 and 2012 compared to 2014 (reference year) for both occurrence and incidence. Also, the mean occurrence and incidence of infant mortality reduced significantly throughout the study period. Keywords Poisson loglinear, Infant mortality, Incidence, Occurrence 1. Introduction Childbirth is the main source of increase in the size of a family in developing countries. This, in effect, leads to an increase in the size of a community, society and country at large. It is really held in high esteem particularly in these countries where the size of a family or community reflects its social status. However, this is usually breached by the occurrence of deaths in infants. Infant mortality is the death of a child before reaching one year of age per 1,000 live births in a given year [1]. There are various causes to infant mortality. Some factors include medical, environmental and socio-cultural. Common causes are preventable with low cost measures. An assessment of the quantitative contribution of mild (birth at 34-36 gestational weeks) and moderate (birth at 32-33 gestational weeks) preterm birth to infant mortality showed that mild– and moderate–preterm birth infants are at high RR for death during infancy and are responsible for an important fraction of infant deaths [2]. Relative risks (RRs) and etiologic fractions (EFs) were measured for overall and cause specific early neonatal (age 0-6 days), late neonatal (age 7-27 days), post-neonatal (age 28-364 days) and total infant death among mild and moderate preterm births vs term births (at ≥37 gestational weeks). A reviewed article aimed at developing mathematical models of malaria shows that nearly a million child mortality * Corresponding author: lt.ahinakwa@gmail.com (L. Tetteh-Ahinakwa) Published online at http://journal.sapub.org/statistics Copyright © 2017 Scientific & Academic Publishing. All Rights Reserved was recorded in about 109 countries declared to be endemic to malaria and its prevalence is highest in infants and children. The research emphasised more on the evolution of the deterministic differential equation based epidemiological compartment models with a brief discussion on data based statistical models under the age of 5-years. The Ross model was used as a basis to develop this model [3]. A proposed mathematical model for the association between P. falciparum transmission and neonatal death related neonatal mortality resulting from malaria infection during pregnancy to the age-specific prevalence of P. falciparum in the general population [4]. Results showed that there is no evidence of an association between neonatal mortality and malaria transmission intensity, yet such an association is evident for both post-neonatal and overall infant mortality. Malaria kills about 1 to 3 million people a year of whom 75% are African children. It presents an ordinary differential equation mathematical model for the spread of malaria in human and mosquito populations. A reproductive number, R 0 , for the number of secondary cases that one infected individual will cause through the duration of the infectious period was defined. It was found that the disease-free equilibrium is locally asymptotically stable when R 0 <1 and unstable when R 0 >1 [5]. A study to assess the effect of early infant feeding practices (delayed initiation, prelacteal feeding established neonatal breastfeeding) on infection-specific neonatal mortality in breastfed neonates aged 2–28 days. It employed a prospective observational cohort study based on 10 942 breastfed singleton neonates who were born between 1 July 2003 and 30 June 2004, survived to day 2 and whose mothers