The modified - Spillman model for asymptotic regression

Area of Science:

• Biometrics
• Human Growth and Development
• Mathematical Modeling

Background:

• Accurate modeling of adolescent height is crucial for understanding growth patterns.
• Existing models like Spillman, logistic, and Gompertz have limitations in capturing complex growth trajectories.
• There is a need for improved asymptotic models for pediatric growth studies.

Purpose of the Study:

• To introduce and evaluate a novel asymptotic model, the Spillman modified model, for describing teenage height growth.
• To compare the fitting performance of the Spillman modified model against established growth models.
• To provide a more accurate mathematical tool for analyzing adolescent physical development.

Main Methods:

• Development of the Spillman modified model by introducing a non-linear enlargement of the independent variable in the original Spillman model.
• Application and fitting of the Spillman modified model to observed teenage height data.
• Comparative analysis of the Spillman modified model's fit against the Spillman, logistic, Gompertz, and log-inverse models.

Main Results:

• The Spillman modified model demonstrated excellent fit to the observed teenage height data.
• The proposed model showed superior performance compared to the traditional Spillman, logistic, Gompertz, and log-inverse models.
• The non-linear enlargement of the independent variable significantly improved the model's descriptive power.

Conclusions:

• The Spillman modified model is a highly effective tool for characterizing adolescent height growth.
• This new model offers enhanced accuracy and better data fitting for pediatric growth research.
• The findings suggest the Spillman modified model as a valuable alternative for future growth studies.