APPLICATIONS OF GAMMA MODEL IN AGE DURING PREGNANCY AND MALARIA INFECTIONS AMONG PREGNANT WOMEN
1Adarabioyo, M. I., 2Ojiezeh, T. I and 3G. N. Amahia
1Department of Mathematics, Statistics and Computer/Information Systems, Achievers University, Owo,
2Department of Medical Laboratory Science, Achievers University, Owo, Nigeria
3Department of Statistics, University of Ibadan, Ibadan, Nigeria
ABSTRACT
The study was carried out to determine the probability distribution of the age at pregnancy and malaria infection in south western Nigeria. The samples studied consisted of eighty-eight (88) and seventy-seven (78) pregnant women who were already infested of malaria parasites at University of Lagos Teaching Hospital (LUTH), Idi-Araba and Obafemi Awolowo University Teaching Hospital (OAUTH), Ile-Ife, respectively. Some descriptive measures were used to examine the main properties of the distributions for each location and combine. The frequency polygons were obtained to determine the underlying distribution. The distributions were negatively skewed; a departure from normality. Beta distribution was estimated and one of the parameters was found to be out of bound (LUTH: α = -1404.27,β = 1358.13, OAUTH: α = -1342.85, β = 1299.95, COMBINE: α = -1204.26, β = 1156.63). The parameters of the Exponential distributions were not significant. Gamma model was fitted for each location and combine. The estimates were significant at 95% level of significance. Parameters’ tests reveal that there is no significant difference between the parameters from the two locations. This implies the samples from the two locations could have come from the same population.
Key Words: Probability, Malaria, Pregnancy, Gamma, Beta, exponential, Model