### 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 language | English |
---|---|

Article number | 084803 |

Journal | Journal of the Physical Society of Japan |

Volume | 82 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2013 Aug |

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### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*82*(8), [084803]. https://doi.org/10.7566/JPSJ.82.084803

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

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 82, no. 8, 084803. https://doi.org/10.7566/JPSJ.82.084803

}

TY - JOUR

T1 - Apparent transition in the human height distribution caused by age-dependent variation during puberty period

AU - Iwata, Takaki

AU - Yamazaki, Yoshihiro

AU - Kuninaka, Hiroto

PY - 2013/8

Y1 - 2013/8

N2 - 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.

AB - 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.

KW - Human height

KW - Log-normal distribution

KW - Mixture Distribution

KW - Normal distribution

KW - Skewness

KW - Standard deviation

UR - http://www.scopus.com/inward/record.url?scp=84880903484&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880903484&partnerID=8YFLogxK

U2 - 10.7566/JPSJ.82.084803

DO - 10.7566/JPSJ.82.084803

M3 - Article

AN - SCOPUS:84880903484

VL - 82

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 8

M1 - 084803

ER -