Comparative Analysis of Additive and Multiplicative Error Terms of Weibull, Logistic Gompertz, Hills and Richards Models with Four Parameters
Joseph Dagogo, Orumie Ukamaka Cynthia, Biu, Emmanuel Oyinebifun
Journal of Advances in Mathematics and Computer Science · pp. 1–34 · Published 2 Mar 2023
10.9734/jamcs/2023/v38i51758Abstract
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 adequacy standards used to choose the best growth model are included in the result. Out of the five growth models considered suitable for the agricultural data, this study was able to pinpoint the Weibull Growth Model with Multiplicative Error Term. The Hill Growth Model with Additive Error Term is the best growth model for the engineering data out of the five growth models. Among the Five Growth Models for Population Growth, the Weibull Growth Model with Additive Error Term is a viable growth model. Several growth models are suggested or recommended by this study for use in forecasting this growth behavior.
References (25)
- 1 Applied Regression Analysis [DOI]
- 2 CAUSES AND CONSEQUENCES OF TERRITORY CHANGE AND BREEDING DISPERSAL DISTANCE IN THE BLACK KITE [DOI]
- 3 Nonlinear Regression Modeling: A Unified Practical Approach [DOI]
- 4 The Fitting of a Generalization of the Logistic Curve [DOI]
- 5 A Comparison of Nonlinear Models for Describing Weight-Age Relationships in Cattle1 [DOI]
- 6 Genetic and Environmental Aspects of the Growth Curve Parameters in Beef Cows [DOI]
- 7 Results of Growth Curve Analyses in Mice and Rats [DOI]
- 8 Development of a growth model for penaeid shrimp [DOI]
- 9 Methods of modelling relative growth rate [DOI]
- 10 MATHEMATICAL MODELING OF MICROBIAL GROWTH: A REVIEW [DOI]
- 11 A primer on the statistical modelling of learning curves in health professions education [DOI]
- 12 Models for Population Growth Curves [DOI]
- 13 Solutions of Rate-state Equation Describing Biological Growths
- 14 Parameter Estimation of Weibull Growth Models in Forestry [DOI]
- 15 A Novel Unification Method to Characterize a Broad Class of Growth Curve Models Using Relative Growth Rate [DOI]
- 16 Simulation of Logistics Delay in Bayesian Network Control Based on Genetic EM Algorithm [DOI]
- 17 The application of the Gompertz model to describe body growth.
- 18 Disaggregating Stand Volume Growth to Individual Trees [DOI]
- 19 Estimation of parameters of linear and nonlinear growth curve models at early growth stage in California Turkeys [DOI]
- 20 Comparison of Relative Growth Rates in Silage Corn Cultivars [DOI]
- 21 Estimation of genetic parameters and trends for growth traits in Hays Converter cattle using multiple-trait and random regression models [DOI]
- 22 Richards growth model and viability indicators for populations subject to interventions [DOI]
- 23 Determination of the Best Planting Season for Green Grams in Kitui County, Kenya, Using the Analytic Hierarchy Process [DOI]
- 24 Statistical mechanics of the Gompertz model of interacting species [DOI]
- 25 Bioenergetics and Growth [DOI]
Cited by 10
E. Villa-Diharce, Evlin A. Ramírez-Félix, J. García-Borbón · Revista de Biología Tropical · 2025
Kai Chen, Roberto Cudmani, Andres Peña · Journal of Rock Mechanics and Geotechnical Engineering · 2024
S. Sharma, Abhishek Thakur · IEEE International Symposium on Compound Semiconductors · 2024
Aya Khamis Jabbar, Hayder M. Al-saedi · Baghdad Science Journal · 2024
Aurora Silva, C. Lourenço-Lopes, M. Carpena · European Conference on Planning · 2023
Showing 5 of 10 known citations — external sources report more than can currently be individually listed.
Article metrics
Real usage data collected on this platform.
43
Page views
0
PDF downloads
8
Outbound clicks
10
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.