Fitting a Gamma Distribution to the Weights of Akwa Ibom State University Students Using Chi-Square Method

Abstract

This paper fits a gamma distribution to the weights of Students of Akwa Ibom State University using chi-square technique. The weights of 617 students were collected from the Medical Centre of the Akwa Ibom State University Main Campus, Ikot Akpaden, Akwa Ibom State. A chi-square test is used to ascertain whether or not the weights of Students are gamma distributed. The gamma distribution parameters were estimated using maximum likelihood approach. The graphical displays of the simulated and real data with the same parameter value are presented. It was observed from the results that the gamma distribution fits the weights of students of the Akwa Ibom State University at the significance level . The graphs of the weights of students, the simulated weights of students and the gamma densities values also showed a great disparity.