Utilizing the Chi-square Technique in Fitting a Logistic Distribution to the Heights of Students of Akwa Ibom State University

Abstract
Goodness of fit tests indicate whether or not it is reasonable to assume that a random sample comes from a specific probability distribution. Again, it is established in the literature that the logistic distribution is a well-known probability model that, with very few exceptions, behaves similarly to the normal distribution with comparable measures of dispersion. On the foregoing, this utilizes the chi-squared technique to fit a logistic distribution to the heights of Students of Akwa Ibom State University. The study comprises of the heights of 617 students collected from the Akwa Ibom State University Main Campus. A chi-squared test is used to ascertain whether or not the heights of Students are logistic distributed. The visual representation of the simulated and real data with the same parameter value are presented. It is observed from the results that the logistic distribution cannot fit the heights of students of the Akwa Ibom State University at the significance level . The graphs of the heights of students, the simulated heights of students and the logistic densities values also showed a great disparity.

Keywords
Chi-square test, logistic distribution, heights of students, maximum likelihood estimates

Cite this paper
Itoro Tim Michael, Iseh, Matthew Joshua, Utilizing the Chi-square Technique in Fitting a Logistic Distribution to the Heights of Students of Akwa Ibom State University , SCIREA Journal of Mathematics. Volume 10, Issue 3, June 2025 | PP. 29-39. 10.54647/mathematics110531

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