Research Article
Year 2024,
Volume: 45 Issue: 3, 614 - 617, 30.09.2024
Abstract
Nonlinear regression models are commonly used in many areas, such as physics, chemistry, biology, and engineering. In these models, the solution of normal equations is more difficult than normal equations of linear regression models. Iterative algorithms are used to solve these equations. It is highly important to choose an appropriate initial value while using these algorithms. The values obtained during the study or from previous studies can be used as an initial value. With an inappropriately chosen initial value, the number of iterations will increase, and convergence may also not occur. In this study, the nonlinear Gompertz, Richards, and Weibull models of turkey growth were considered by taking the data on female turkey weight, and it was investigated which of these models was the most appropriate model for turkey growth using the R program
Keywords
References
- [1] Nelder J. A. , Mead R. A., Simplex Method for Function Minimization, The Computer Journal, 7(4) (1965) 308–313.
- [2] Huber P.J., Robust Estimation of a Location Parameter, Ann. Math. Statist., 35(1) (1964) 73-101.
- [3] Huber P.J., Robust Regression: Asymptotics, Conjectures and Monte Carlo, Annals of Statistics, 1 (1973) 799-821.
- [4] Bates D.M., Watts D.G., Nonlinear Regression Analysis and Its Applications, Wiley, New York (1988).
- [5] Çağlar A., Forming Confidence Regions for Parameter Estimation in Nonlinear Models and a Comparison, MSc Thesis, Gazi University, Ankara, Turkey (1995).
- [6] Aksoy S., Otokorelasyonlu Hata Terimli Doğrusal Olmayan Regresyon Modellerinde Parametre Tahmini, PhD Thesis, Gazi University, Ankara, Turkey (1996).
- [7] Şengül T. ,Kiraz S., Non-Linear Models for Growth Curves in Large White Turkeys, Turk J. Vet. Anim. Sci., 29 (2005) 331-337.
- [8] Çelik A., Aslan Y., Efe E., Investigation of Growth in Turkeys Using a Multiphasic Model, Black Sea Journal Of Engineering And Science, 5(1) (2022) 18-25.
- [9] Çelik A., Multiphasic Growth Functions and Some Applications, MSc Thesis, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey (2013).
- [10] Ghanim Al-Ani Ban., Statistical modeling of the novel COVID-19 epidemic in Iraq, Epidemiol. Methods, 10(1) (2021) 20200025.
- [11] Ritz C., Streibig J. C., Nonlinear Regression with R, Use R!, Springer Verlag (2008).
- [12] Teleken J. T., A. C. Galvão, Robazza W. S., ‘‘Comparing Non-linear Mathematical Models to Describe Growth of Different Animals.’’ Acta Scientiarum, Animal Sciences, 39(1) (2017) 73−81.
Year 2024,
Volume: 45 Issue: 3, 614 - 617, 30.09.2024
Abstract
References
- [1] Nelder J. A. , Mead R. A., Simplex Method for Function Minimization, The Computer Journal, 7(4) (1965) 308–313.
- [2] Huber P.J., Robust Estimation of a Location Parameter, Ann. Math. Statist., 35(1) (1964) 73-101.
- [3] Huber P.J., Robust Regression: Asymptotics, Conjectures and Monte Carlo, Annals of Statistics, 1 (1973) 799-821.
- [4] Bates D.M., Watts D.G., Nonlinear Regression Analysis and Its Applications, Wiley, New York (1988).
- [5] Çağlar A., Forming Confidence Regions for Parameter Estimation in Nonlinear Models and a Comparison, MSc Thesis, Gazi University, Ankara, Turkey (1995).
- [6] Aksoy S., Otokorelasyonlu Hata Terimli Doğrusal Olmayan Regresyon Modellerinde Parametre Tahmini, PhD Thesis, Gazi University, Ankara, Turkey (1996).
- [7] Şengül T. ,Kiraz S., Non-Linear Models for Growth Curves in Large White Turkeys, Turk J. Vet. Anim. Sci., 29 (2005) 331-337.
- [8] Çelik A., Aslan Y., Efe E., Investigation of Growth in Turkeys Using a Multiphasic Model, Black Sea Journal Of Engineering And Science, 5(1) (2022) 18-25.
- [9] Çelik A., Multiphasic Growth Functions and Some Applications, MSc Thesis, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey (2013).
- [10] Ghanim Al-Ani Ban., Statistical modeling of the novel COVID-19 epidemic in Iraq, Epidemiol. Methods, 10(1) (2021) 20200025.
- [11] Ritz C., Streibig J. C., Nonlinear Regression with R, Use R!, Springer Verlag (2008).
- [12] Teleken J. T., A. C. Galvão, Robazza W. S., ‘‘Comparing Non-linear Mathematical Models to Describe Growth of Different Animals.’’ Acta Scientiarum, Animal Sciences, 39(1) (2017) 73−81.
There are 12 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Natural Sciences |
| Authors | |
| Publication Date | September 30, 2024 |
| Submission Date | December 2, 2022 |
| Acceptance Date | August 20, 2024 |
| Published in Issue | Year 2024Volume: 45 Issue: 3 |
