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 journalArticle

    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

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    normal density functions
    skewness
    simulation

    Keywords

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

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Apparent transition in the human height distribution caused by age-dependent variation during puberty period. / Iwata, Takaki; Yamazaki, Yoshihiro; Kuninaka, Hiroto.

    In: Journal of the Physical Society of Japan, Vol. 82, No. 8, 084803, 08.2013.

    Research output: Contribution to journalArticle

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