Ebuh GU, Agbor RA and Ebuh AC
Keywords: Kolmogorov-Sminov, poisson and binomial, correlation, conditional variance, cesarean and normal deliveries.
Abstract: In this study, expressions for the joint probability distributions of the number of normal deliveries and number of cesarean section deliveries in hospitals were obtained when the number of deliveries is assumed to be a random variable. A goodness of fit test was carried out on them using Kolmogorov-Sminov test. Regression equations for predicting the number of normal deliveries for a given number of cesarean deliveries and vice-versa as well as expressions for the correlation coefficients are also obtained. Number of deliveries are assumed to follow the binomial and Poisson distributions. The models are fitted to the data collected from Regina Caeli Hospital (between 2006 and 2010) in Awka, Anambra State, Nigeria. It was discovered that the Poisson distribution provided a better fit. This model gave a correlation coefficient value of 0 between the number of normal deliveries and that of cesarean deliveries with a conditional variance of 0.4034. The variation between the number of deliveries of different modes (normal or cesarean) widens as the number of deliveries increases.
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