Nonlinear Split-Plot Design Model in Parameters Estimation using Estimated Generalized Least Square - Maximum Likelihood Estimation


  • Ikwuoche John David Ahmadu Bello University, Zaria.
  • Osebekwin Ebenenzer Asiribo Ahmadu Bello University, Zaria.
  • Hussain Garba Dikko Ahmadu Bello University, Zaria.



Split-plot design, parameters estimation, Estimated Generalized Least Square, Maximum Likelihood Estimation


This research aimed to provide a theoretical framework for intrinsically nonlinear models with two additive error terms. To achieve this, an iterative Gauss-Newton via Taylor Series expansion procedures for Estimated Generalized Least Square (EGLS) technique was adopted. This technique was applied in estimating the parameters of an intrinsically nonlinear split-plot design model where the variance components were unknown. The unknown variance components were estimated via Maximum Likelihood Estimation (MLE) method. To achieve the numerical stability in the iterative process of estimating the parameters, Householder QR decomposition was used. The results show that EGLS method presented in this research is available and applicable to estimate linear fixed, random, and mixed-effect models. However, in practical situations, the functional form of the mean in the model is often nonlinear due to the dynamics involved in the system process.


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Author Biographies

Ikwuoche John David, Ahmadu Bello University, Zaria.

Ph.D. Research Student, Department of Statistics


Osebekwin Ebenenzer Asiribo, Ahmadu Bello University, Zaria.

Professor of Statistics, Department of Statistics


Hussain Garba Dikko, Ahmadu Bello University, Zaria.

Associate Professor of Statistics, Department of Statistics


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