________________________________________ *Corresponding author: Email: amakaorumie5@gmail.com, ukamaka.orumie@uniport.edu.ng; J. Adv. Math. Com. Sci., vol. 38, no. 5, pp. 1-34, 2023 Journal of Advances in Mathematics and Computer Science Volume 38, Issue 5, Page 1-34, 2023; Article no.JAMCS.97030 ISSN: 2456-9968 (Past name: British Journal of Mathematics & Computer Science, Past ISSN: 2231-0851) _______________________________________________________________________________________________________________________________________ Comparative Analysis of Additive and Multiplicative Error Terms of Weibull, Logistic Gompertz, Hills and Richards Models with Four Parameters Joseph Dagogo a , Orumie Ukamaka Cynthia b* and Biu, Emmanuel Oyinebifun b a Department of Mathematics/Statistics, Ignatius Ajuru University of Education, Rivers State, Nigeria. b Department of Mathematics and Statistics, University of Port Harcourt, Choba, Rivers State, Nigeria. Authors’ contributions This work was carried out in collaboration among all authors. All authors read and approved the final manuscript. Article Information DOI: 10.9734/JAMCS/2023/v38i51758 Open Peer Review History: This journal follows the Advanced Open Peer Review policy. Identity of the Reviewers, Editor(s) and additional Reviewers, peer review comments, different versions of the manuscript, comments of the editors, etc are available here: https://www.sdiarticle5.com/review-history/97030 Received: 17/12/2022 Accepted: 23/02/2023 Published: 02/03/2023 __________________________________________________________________________________ Abstract Three growth models (Richards, Gompertz, and Weibull) were estimated using a computer program employing a modified version of the Levenberg-Marquardt approach for solving non-linear regression models. With both small and high sample sizes, three data sets were collected. The most suitable model for growth studies was added by decomposing the growth models into their component parts: additive and multiplicative error factors. The analysis based on the mathematical properties was conducted using Gretl statistics software. Prior to using an iterative strategy, a third-order polynomial (cubic function) solves the issue of the initial parameters. The final estimate of the parameters, standard errors, p-values, and model Original Research Article