Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students

Nwagwu Chibuikem Chrysogonus; Nduka Ethelbert Chinaka; Ogoke Uchenna Petronilla

doi:doi:10.11648/j.ijsd.20190501.13

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Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students

Nwagwu Chibuikem Chrysogonus, Nduka Ethelbert Chinaka, Ogoke Uchenna Petronilla

Received: 4 April 2019 Accepted: 21 May 2019 Published: 5 June 2019

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Abstract

The Ehrenberg’s law like equation is deemed to fit (within minor error) universally among children aged 11 – 17. This paper adopts this equation to confirm or deny the universal applicability based on selected schools in South-South region in Nigeria which is believed to be environmentally degraded. Data on Age, Sex and anthropometric measures (weight and height) of the cohort in public and private schools were used to fit the model. After the data were pooled from the public and private school, Microsoft Excel Package was used to test how different conditions may influence the fit of the model to the data. The conditions considered were: Gender and Social class (determined by school type), hence there were five different data classifications. Results obtained showed that although the average deviation recorded for female students fell out of the expected limit of ±0.01 although marginally by another +0.01; all other subsets of the data set were found to fit the given equation appropriately. This goes to show that irrespective of gender or social class, provided the students are within the specified age bracket, the Ehrenberg's law like equation will be a good model for use. This is equally verified using the test of significance as well as the test for equality of the regression models.

DOI	10.11648/j.ijsd.20190501.13
Published in	International Journal of Statistical Distributions and Applications (Volume 5, Issue 1, March 2019)
Page(s)	10-14
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Anthropometry, Model Adequacy, Law-Like Relationships, Statistical Models

References

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[4]	G. M. K. Kpedekpo, "Heights and Weights of Children in Ghana," Journal of the Royal Statistical Society, Series A, vol. 133, pp. 86-93, 1970.
[5]	P. I. Uche, "Heights and Weights of Nigerian Children: The Fit of Ehrenberg’s Equation," Biometrics, vol. 37, pp. 149-151, 1981.
[6]	S. C. Ehrenberg, "The Elements of Law-like Relationships," Journal of the Royal Statistical Society, Series A, vol. 131, pp. 280-329, 1968.
[7]	S. C. and Bound, J. A. Ehrenberg, "Predictability and Prediction," Journal of the Royal Statistical Society, Series A, vol. 156, no. 2, pp. 167-206, 1993b.
[8]	M. B. Pierre, "Weight for Height during Growth, Useful Formulas to Insert into the Pediatrician’s Smart Phone," Academic Journal of Pediatrics and Neonatology, vol. 4, no. 2, 2017.
[9]	H. G. Lovell, "Heights and Weights of West Indian Children," Journal of the Royal Statistical Society Series A, vol. 135, pp. 569-578, 1972.
[10]	S. S. Verma, N. Kishore, S. S. Purkayasha, and R. K. Ghagiok, "Height-Weight Relationship in Young Healthy Indian Males," Indian Journal of Medical Sciences, vol. 44, no. 4, pp. 90-92, April 1990.
[11]	Lewis Tanya. (2013) Live Science. [Online]. www.livescience.com/39097-bmi-not-accurate-health-measure.html
[12]	J. A Bound, "The Contribution of Andrew Ehrenberg to Social and Marketing Research," Journal of Empirical Generalisations in Marketing Science, vol. 12, no. 1, pp. 2-5, 2009.
[13]	S. C. Ehrenberg, "Even the Social Sciences Have Laws," Nature, vol. 365, p. 385, 1993a.
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[16]	Charkravarthy P. K., Suresh G., Chenna D., and Chenna V., "Relationship Between Anthropometric Measures and Dental Caries Among Adolescent National Cadets Corps of Udupi District, South India," Journal of Natural Science, Biology and Medicine, January 2013.
[17]	E. C. Nduka and U. P. Ogoke, Principles of Applied Statistics: Regression and Correlation Analysis, 2nd ed. Owerri, Imo State, Nigeria: Munagenesis Concepts, 2016.

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APA Style

Nwagwu Chibuikem Chrysogonus, Nduka Ethelbert Chinaka, Ogoke Uchenna Petronilla. (2019). Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students. International Journal of Statistical Distributions and Applications, 5(1), 10-14. https://doi.org/10.11648/j.ijsd.20190501.13

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Nwagwu Chibuikem Chrysogonus; Nduka Ethelbert Chinaka; Ogoke Uchenna Petronilla. Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students. Int. J. Stat. Distrib. Appl. 2019, 5(1), 10-14. doi: 10.11648/j.ijsd.20190501.13

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AMA Style

Nwagwu Chibuikem Chrysogonus, Nduka Ethelbert Chinaka, Ogoke Uchenna Petronilla. Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students. Int J Stat Distrib Appl. 2019;5(1):10-14. doi: 10.11648/j.ijsd.20190501.13

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@article{10.11648/j.ijsd.20190501.13,
  author = {Nwagwu Chibuikem Chrysogonus and Nduka Ethelbert Chinaka and Ogoke Uchenna Petronilla},
  title = {Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students},
  journal = {International Journal of Statistical Distributions and Applications},
  volume = {5},
  number = {1},
  pages = {10-14},
  doi = {10.11648/j.ijsd.20190501.13},
  url = {https://doi.org/10.11648/j.ijsd.20190501.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20190501.13},
  abstract = {The Ehrenberg’s law like equation is deemed to fit (within minor error) universally among children aged 11 – 17. This paper adopts this equation to confirm or deny the universal applicability based on selected schools in South-South region in Nigeria which is believed to be environmentally degraded. Data on Age, Sex and anthropometric measures (weight and height) of the cohort in public and private schools were used to fit the model. After the data were pooled from the public and private school, Microsoft Excel Package was used to test how different conditions may influence the fit of the model to the data. The conditions considered were: Gender and Social class (determined by school type), hence there were five different data classifications. Results obtained showed that although the average deviation recorded for female students fell out of the expected limit of ±0.01 although marginally by another +0.01; all other subsets of the data set were found to fit the given equation appropriately. This goes to show that irrespective of gender or social class, provided the students are within the specified age bracket, the Ehrenberg's law like equation will be a good model for use. This is equally verified using the test of significance as well as the test for equality of the regression models.},
 year = {2019}
}

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TY  - JOUR
T1  - Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students
AU  - Nwagwu Chibuikem Chrysogonus
AU  - Nduka Ethelbert Chinaka
AU  - Ogoke Uchenna Petronilla
Y1  - 2019/06/05
PY  - 2019
N1  - https://doi.org/10.11648/j.ijsd.20190501.13
DO  - 10.11648/j.ijsd.20190501.13
T2  - International Journal of Statistical Distributions and Applications
JF  - International Journal of Statistical Distributions and Applications
JO  - International Journal of Statistical Distributions and Applications
SP  - 10
EP  - 14
PB  - Science Publishing Group
SN  - 2472-3509
UR  - https://doi.org/10.11648/j.ijsd.20190501.13
AB  - The Ehrenberg’s law like equation is deemed to fit (within minor error) universally among children aged 11 – 17. This paper adopts this equation to confirm or deny the universal applicability based on selected schools in South-South region in Nigeria which is believed to be environmentally degraded. Data on Age, Sex and anthropometric measures (weight and height) of the cohort in public and private schools were used to fit the model. After the data were pooled from the public and private school, Microsoft Excel Package was used to test how different conditions may influence the fit of the model to the data. The conditions considered were: Gender and Social class (determined by school type), hence there were five different data classifications. Results obtained showed that although the average deviation recorded for female students fell out of the expected limit of ±0.01 although marginally by another +0.01; all other subsets of the data set were found to fit the given equation appropriately. This goes to show that irrespective of gender or social class, provided the students are within the specified age bracket, the Ehrenberg's law like equation will be a good model for use. This is equally verified using the test of significance as well as the test for equality of the regression models.
VL  - 5
IS  - 1
ER  -

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Author Information

Nwagwu Chibuikem Chrysogonus

Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
Nduka Ethelbert Chinaka

Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
Ogoke Uchenna Petronilla

Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria

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Nwagwu Chibuikem Chrysogonus, Nduka Ethelbert Chinaka, Ogoke Uchenna Petronilla. (2019). Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students. International Journal of Statistical Distributions and Applications, 5(1), 10-14. https://doi.org/10.11648/j.ijsd.20190501.13

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ACS Style

Nwagwu Chibuikem Chrysogonus; Nduka Ethelbert Chinaka; Ogoke Uchenna Petronilla. Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students. Int. J. Stat. Distrib. Appl. 2019, 5(1), 10-14. doi: 10.11648/j.ijsd.20190501.13

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AMA Style

Nwagwu Chibuikem Chrysogonus, Nduka Ethelbert Chinaka, Ogoke Uchenna Petronilla. Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students. Int J Stat Distrib Appl. 2019;5(1):10-14. doi: 10.11648/j.ijsd.20190501.13

Copy | Download

@article{10.11648/j.ijsd.20190501.13,
  author = {Nwagwu Chibuikem Chrysogonus and Nduka Ethelbert Chinaka and Ogoke Uchenna Petronilla},
  title = {Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students},
  journal = {International Journal of Statistical Distributions and Applications},
  volume = {5},
  number = {1},
  pages = {10-14},
  doi = {10.11648/j.ijsd.20190501.13},
  url = {https://doi.org/10.11648/j.ijsd.20190501.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20190501.13},
  abstract = {The Ehrenberg’s law like equation is deemed to fit (within minor error) universally among children aged 11 – 17. This paper adopts this equation to confirm or deny the universal applicability based on selected schools in South-South region in Nigeria which is believed to be environmentally degraded. Data on Age, Sex and anthropometric measures (weight and height) of the cohort in public and private schools were used to fit the model. After the data were pooled from the public and private school, Microsoft Excel Package was used to test how different conditions may influence the fit of the model to the data. The conditions considered were: Gender and Social class (determined by school type), hence there were five different data classifications. Results obtained showed that although the average deviation recorded for female students fell out of the expected limit of ±0.01 although marginally by another +0.01; all other subsets of the data set were found to fit the given equation appropriately. This goes to show that irrespective of gender or social class, provided the students are within the specified age bracket, the Ehrenberg's law like equation will be a good model for use. This is equally verified using the test of significance as well as the test for equality of the regression models.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students
AU  - Nwagwu Chibuikem Chrysogonus
AU  - Nduka Ethelbert Chinaka
AU  - Ogoke Uchenna Petronilla
Y1  - 2019/06/05
PY  - 2019
N1  - https://doi.org/10.11648/j.ijsd.20190501.13
DO  - 10.11648/j.ijsd.20190501.13
T2  - International Journal of Statistical Distributions and Applications
JF  - International Journal of Statistical Distributions and Applications
JO  - International Journal of Statistical Distributions and Applications
SP  - 10
EP  - 14
PB  - Science Publishing Group
SN  - 2472-3509
UR  - https://doi.org/10.11648/j.ijsd.20190501.13
AB  - The Ehrenberg’s law like equation is deemed to fit (within minor error) universally among children aged 11 – 17. This paper adopts this equation to confirm or deny the universal applicability based on selected schools in South-South region in Nigeria which is believed to be environmentally degraded. Data on Age, Sex and anthropometric measures (weight and height) of the cohort in public and private schools were used to fit the model. After the data were pooled from the public and private school, Microsoft Excel Package was used to test how different conditions may influence the fit of the model to the data. The conditions considered were: Gender and Social class (determined by school type), hence there were five different data classifications. Results obtained showed that although the average deviation recorded for female students fell out of the expected limit of ±0.01 although marginally by another +0.01; all other subsets of the data set were found to fit the given equation appropriately. This goes to show that irrespective of gender or social class, provided the students are within the specified age bracket, the Ehrenberg's law like equation will be a good model for use. This is equally verified using the test of significance as well as the test for equality of the regression models.
VL  - 5
IS  - 1
ER  -

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