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Modeling low birth weights using threshold regression: results for U.S. birth data
1Desautels Faculty of Management, McGill University, Montreal, QC, Canada H3A 1G5. george.whitmore@mcgill.ca
Insights
This study models infant birth weight using a novel Wiener process approach, linking fetal development to maternal and environmental factors. The findings aim to improve understanding of risks associated with low birth weight.
Area of Science:
- Biostatistics
- Perinatal Epidemiology
- Developmental Biology
Background:
- Low birth weight and preterm birth are associated with significant infant health risks, including mortality and developmental impairments.
- Existing models may not fully capture the complex interplay of factors influencing fetal development and birth outcomes.
- Understanding these factors is crucial for developing targeted interventions.
Purpose of the Study:
- To develop and present novel statistical models for birth weight prediction.
- To conceptualize birth weight as a first hitting time (FHT) in a Wiener process model of fetal development.
- To explore the association between maternal characteristics, birthing environment, and birth weight using threshold regression.
Main Methods:
- Utilized a Wiener process framework to model fetal development as a stochastic process.
- Applied threshold regression to link process parameters and boundary conditions to covariates.
- Developed two specific FHT models: a mixture model and a competing risks model.
- Tested models using a large-scale dataset of US live births from 2002.
Main Results:
- The study introduces a novel conceptual framework and two distinct FHT models for analyzing birth weight.
- Methodology demonstrated using a significant sample of US live births, highlighting potential for empirical application.
- Focus remains on the conceptual and methodological advancements, with full empirical results deferred.
Conclusions:
- The proposed Wiener process and threshold regression approach offers a new perspective on modeling birth weight.
- These models provide a framework for investigating the impact of maternal and environmental factors on fetal development and birth outcomes.
- Further empirical research is warranted to fully validate and apply these innovative methodologies.
Abstract:
Babies born live under 2,500 g or with a gestational age under 37 weeks are often inadequately developed and have elevated risks of infant mortality, congenital malformations, mental retardation, and other physical and neurological impairments. In this paper, we model birth weight as a first hitting time (FHT) of a birthing boundary in a Wiener process representing fetal development. We associate the parameters of the process and boundary with covariates describing maternal characteristics and the birthing environment using a relatively new regression methodology called threshold regression. Two FHT models for birth weight are developed. One is a mixture model and the other a competing risks model. These models are tested in a case demonstration using a 4%-systematic sample of the more than four million live births in the United States in 2002. An extensive data set for these births was provided by the National Center for Health Statistics. The focus of this paper is on the conceptual framework, models and methodology. A full empirical study is deferred to a later occasion.
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