Development of a pediatric body mass index using longitudinal single-index models
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Updated: May 15, 2026

Assessment of Child Anthropometry in a Large Epidemiologic Study
Published on: February 2, 2017
1Department of Biostatistics, Indiana University School of Medicine, Indianapolis, IN 46202, USA wujw@iupui.edu.
Insights
This study introduces a novel pediatric body mass index (BMI) for better health predictions in children. The new measure, derived using advanced statistical models, shows superior performance compared to the traditional BMI.
Area of Science:
- Biostatistics
- Pediatric Health
- Epidemiology
Background:
- The standard body mass index (BMI), calculated as weight/height(2), is widely used for assessing human adiposity.
- The suitability of BMI for accurately quantifying pediatric body mass and predicting health outcomes during puberty remains understudied.
- There is a need for improved pediatric body mass measures to better assess health risks.
Purpose of the Study:
- To propose and validate an alternative pediatric body mass measure for predicting blood pressure in children.
- To develop and implement advanced statistical modeling techniques for creating this new metric.
- To evaluate the performance of the proposed measure against the traditional body mass index.
Main Methods:
- Utilized partially linear single-index mixed effect models to determine a new pediatric body mass metric.
- Developed an efficient algorithm for fitting these models in longitudinal data scenarios.
- Conducted simulations to compare the proposed method with the standard body mass index.
Main Results:
- The proposed single-index modeling technique offers a superior method for predicting blood pressure in children compared to standard BMI.
- The developed algorithm for fitting partially linear single-index models is efficient and implementable on common computational platforms.
- Simulations demonstrated the enhanced predictive performance of the new pediatric body mass measure.
Conclusions:
- The novel pediatric body mass measure shows significant potential for improving health outcome predictions in children.
- The developed statistical methodology is robust and applicable to various longitudinal data analyses.
- This approach can be extended to create other specialized indices for specific health investigations in pediatric populations.
Abstract:
As a measure of human adiposity, the body mass index, defined as weight/height(2), has been widely used in clinical investigations. For children undergoing pubertal development, whether this function of height and weight represents an optimal way of quantifying body mass for assessing of specific health outcomes has not been carefully studied. In this study, we propose an alternative pediatric body mass measure for prediction of blood pressure based on recorded height and weight data using single-index modeling techniques. Specifically, we present a general form of partially linear single-index mixed effect models for the determination of this new metric. A methodological contribution of this research is the development of an efficient algorithm for the fitting of a general class of partially linear single-index models in longitudinal data situations. The proposed model and related model fitting algorithm are easily implementable in most computational platforms. Simulation demonstrates superior performance of the new method, as compared to the standard body mass index measure. Using the proposed method, we explore an alternative body mass measure for the prediction of blood pressure in children. The method is potentially useful for the construction of other indices for specific investigations.
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