Apparent transition in the human height distribution caused by age-dependent variation during puberty period

Takaki Iwata, Yoshihiro Yamazaki, Hiroto Kuninaka

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this study, we examine the validity of the transition of the human height distribution from the log-normal distribution to the normal distribution during puberty, as suggested in an earlier study [Kuninaka et al.: J. Phys. Soc. Jpn. 78 (2009) 125001]. Our data analysis reveals that, in late puberty, the variation in height decreases as children grow. Thus, the classification of a height dataset by age at this stage leads us to analyze a mixture of distributions with larger means and smaller variations. This mixture distribution has a negative skewness and is consequently closer to the normal distribution than to the log-normal distribution. The opposite case occurs in early puberty and the mixture distribution is positively skewed, which resembles the log-normal distribution rather than the normal distribution. Thus, this scenario mimics the transition during puberty. Additionally, our scenario is realized through a numerical simulation based on a statistical model. The present study does not support the transition suggested by the earlier study.

Original languageEnglish
Article number084803
Journaljournal of the physical society of japan
Volume82
Issue number8
DOIs
Publication statusPublished - 2013 Aug 1

Keywords

  • Human height
  • Log-normal distribution
  • Mixture Distribution
  • Normal distribution
  • Skewness
  • Standard deviation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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