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PreprintCC BY-NC-NDmedRxiv

Conditional Growth References for Vietnamese Children: Quantile Regression of Growth Distributions and Phenotypes

  1. 1Vinmec International Hospital, Hanoi, Vietnam

Abstract

Background and objectiveThe WHO growth reference judges a childs height against the population at one age, without using the childs own earlier growth. This study built and validated a quantile regression based conditional growth reference predicting a childs future height for age distribution from early growth status.

MethodsUsing deidentified longitudinal annual school children health check data from three major cities in Vietnam, this study linked a baseline height and BMI for age Z score near age 6 to outcome visits near age 12 or 15 in 4,857 children. A linear quantile regression and a pooled quantile generalized additive model, fit by sex, were compared against a linear benchmark and a naive persistence model on a held out test set, using pinball loss, interval coverage, and width against the WHO 90% band. This study also tested adding growth phenotype and checked generalization across the three cities.

ResultsThe pooled model outperformed the discrete quantile regression in every group. Every individualized 90% interval was narrower than the WHO band, by 34.6 to 54.5%. Growth phenotype improved accuracy in most groups. The model generalized well to a held out Hanoi or Haiphong but poorly to a held out Ho Chi Minh City, where coverage fell to between 0.35 and 0.52, though the all-city model stayed well calibrated for Ho Chi Minh City itself.

ConclusionConditional quantile modeling gives individualized growth predictions markedly narrower than a fixed population reference and gains further from growth phenotype, but needs local validation before use at an unrepresented site.

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BibTeX
@misc{ho2026conditional,
  title = {{Conditional Growth References for Vietnamese Children: Quantile Regression of Growth Distributions and Phenotypes}},
  author = {N. T. Ho},
  howpublished = {medRxiv},
  year = {2026},
  month = sep,
  doi = {10.64898/2026.09.23.26363771},
  url = {https://www.medrxiv.org/content/10.64898/2026.09.23.26363771v1},
  note = {CC BY-NC-ND},
}
RIS
TY  - UNPB
TI  - Conditional Growth References for Vietnamese Children: Quantile Regression of Growth Distributions and Phenotypes
AU  - N. T. Ho
PY  - 2026
DA  - 2026/09/23
PB  - medRxiv
DO  - 10.64898/2026.09.23.26363771
UR  - https://www.medrxiv.org/content/10.64898/2026.09.23.26363771v1
AB  - Background and objectiveThe WHO growth reference judges a childs height against the population at one age, without using the childs own earlier growth. This study built and validated a quantile regression based conditional growth reference predicting a childs future height for age distribution from early growth status.  MethodsUsing deidentified longitudinal annual school children health check data from three major cities in Vietnam, this study linked a baseline height and BMI for age Z score near age 6 to outcome visits near age 12 or 15 in 4,857 children. A linear quantile regression and a pooled quantile generalized additive model, fit by sex, were compared against a linear benchmark and a naive persistence model on a held out test set, using pinball loss, interval coverage, and width against the WHO 90% band. This study also tested adding growth phenotype and checked generalization across the three cities.  ResultsThe pooled model outperformed the discrete quantile regression in every group. Every individualized 90% interval was narrower than the WHO band, by 34.6 to 54.5%. Growth phenotype improved accuracy in most groups. The model generalized well to a held out Hanoi or Haiphong but poorly to a held out Ho Chi Minh City, where coverage fell to between 0.35 and 0.52, though the all-city model stayed well calibrated for Ho Chi Minh City itself.  ConclusionConditional quantile modeling gives individualized growth predictions markedly narrower than a fixed population reference and gains further from growth phenotype, but needs local validation before use at an unrepresented site.
ER  -