Fitting the Ehrenberg’s Law-Like Equation Using the Age, Weight and Height of Secondary School Students
International Journal of Statistical Distributions and Applications
Volume 5, Issue 1, March 2019, Pages: 10-14
Received: Apr. 4, 2019; Accepted: May 21, 2019; Published: Jun. 5, 2019
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Authors
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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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.
Keywords
Anthropometry, Model Adequacy, Law-Like Relationships, Statistical Models
To cite this article
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, International Journal of Statistical Distributions and Applications. Vol. 5, No. 1, 2019, pp. 10-14. doi: 10.11648/j.ijsd.20190501.13
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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