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A new proportional hazard model with applications to breastfeeding data
Yolanda M Gómez1, Wilson E Caimanque2, John L Santibáñez2
1Departamento de Estadística, Facultad de Ciencias, Universidad del Bío-Bío, Concepción, 4081112, Chile. ygomez@ubiobio.cl.
Scientific Reports
|July 2, 2025
Summary
This study introduces a new statistical model to analyze breastfeeding duration, identifying key times of weaning. The model helps understand factors influencing breastfeeding cessation for infants up to six months.
Area of Science:
- Biostatistics
- Epidemiology
- Public Health
Background:
- The World Health Organization (WHO) recommends exclusive breastfeeding for the first six months of life.
- Several factors contribute to the cessation of breastfeeding before this recommended duration.
- Breastfeeding behavior changes are observed at various infant ages (0, 1, 3, and 5 months).
Purpose of the Study:
- To introduce a novel proportional hazards model for analyzing breastfeeding duration.
- To utilize a transformed-transformer method with Weibull and piecewise exponential baseline distributions.
- To identify optimal time partitions for analyzing weaning patterns.
Main Methods:
- Development of a new proportional hazards model.
- Incorporation of Weibull and piecewise exponential distributions.
- Application of maximum likelihood estimation for parameter estimation.
- Presentation of a regression model for censored data.
Main Results:
- Detailed discussion of the proposed model's properties, including monotonicity and quantile functions.
- Numerical illustrations of the estimators.
- Demonstration of the model's applicability through real-world case studies.
Conclusions:
- The proposed statistical model offers a valuable tool for analyzing breastfeeding cessation.
- The model aids in understanding weaning patterns and factors influencing breastfeeding duration.
- Real-world applications in Brazil and the USA highlight the model's practical utility.
Keywords:
Gradient testLikelihood ratio testPower functionSample SizeScore testSurvival dataWald testWeibull modelMore Related Videos
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