Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania

Fatma S. Seif; Sara A. Khamis; John K. Mduma; Estomih S. Massawe

doi:doi:10.11648/j.pamj.20170601.15

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Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania

Fatma S. Seif, Sara A. Khamis, John K. Mduma, Estomih S. Massawe

Published in Pure and Applied Mathematics Journal (Volume 6, Issue 1)

Received: 14 December 2016 Accepted: 6 January 2017 Published: 23 February 2017

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Abstract

This paper examines the impact of education on the average age at the first marriage to women in Tanzania. A mathematical model for the distribution of average age at the first marriage in Tanzania is established and the effect of education on the year at first marriage is estimated for the years 1999 and 2003/04. Both descriptive analysis and model estimate show that education level and education attainment have an impact on the average age at the first marriage. It is established that as one attains further studies, her age at first marriage is delayed. The model validation was presented graphically to illustrate the validity of the model where the proportion of ever married p(a,x₁,x₂) fitted very closely to the empirical data.

Published in	Pure and Applied Mathematics Journal (Volume 6, Issue 1)
DOI	10.11648/j.pamj.20170601.15
Page(s)	39-44
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), 2017. Published by Science Publishing Group

Keywords

Impact of Education, Average Age, First Marriage

References

[1]	Akter S, Rahman MM (2009), Direct and Indirect Effects of Socioeconomic Factors on Age at First Marriage in Slum Areas in Chinese, Journal of Population, Resources and Enviromental Bangladesh, University of Rajshahi, Vol 7, No. 3 (p. 79-82).
[2]	Walsh J (2008) Importance of Marriage, Retrieved on 27/9/2010 from http://www.iguides.org/articles/articles/832/1/Importance-of-Marriage-to-Society/Page1.html.
[3]	Universal Declaration of Human Rights (1948) United Nation (UN), Retrieved on 25/10/2010 from Article16No.2http://www.jus.uio.no/lm/un.universal.declaration.of.human.rights.1948/portrait.a4.pdf.
[4]	Pathfinder International (2006) Report on causes and consequences of early marriage in Amhara region, Retrieved on 1/10/2010from http://www.pathfind.org/site/DocServer, Ethiopia.
[5]	Ngalinda, I (1998) Age at First Birth, Fertility, and Contraception in Tanzania, Unplished PHD thesis, Berlin.
[6]	Bayisenge, J (2010) Early Marriage as a Barrier to Girl’s Education, Retrieved on 1/10/2010 fromwww.ifuw.org/fuwa/docs/Early-marriage2.pdf.
[7]	Beegle K, Krutikova S (2008) Adult mortality and Children’s transition into marriage in Demographic Research, Journal of Peer –Reviewed Research and Commentary in the Population Science, Max Planck Institute for Demographic Research Konrad-Zuse Str. 1, D-18057 Rostock, Germany,Vol19, Art 42, pp1551-1574.
[8]	UNICEF (2001) The State of the World’s Children.
[9]	Singh S, Samara R (1996) Early Marriage Among Women in Developing Countries, Journal of International Family Planning Perspectives, Guttmacher Institute, New York, Vol 22, No. 4 pp148-157 & 175.
[10]	Erica F, Attila A (2008)Early Marriage, Age of Menarche, and Female School Attainment in Bangladesh, Journal of Political Economy, The University of Chicago, Vol 116, No. 5, pp. 881-930.
[11]	Matthew AP, Leclerc PM, Garenne ML (2009) The Picrate Model For Fitting The Age Pattern Of First Marriage, Journal of Math. Sci. hum / Mathematics and Social Sciences (47e année, n° 186, 2009 (2), p. 17-28).
[12]	Motlusky H (1995) The Graph Pad Guide to Nonlinear Regression, Retrieved on 20/3/2011 from http://www.graphpad.com/www/nonling3.htm.

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APA Style

Fatma S. Seif, Sara A. Khamis, John K. Mduma, Estomih S. Massawe. (2017). Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania. Pure and Applied Mathematics Journal, 6(1), 39-44. https://doi.org/10.11648/j.pamj.20170601.15

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ACS Style

Fatma S. Seif; Sara A. Khamis; John K. Mduma; Estomih S. Massawe. Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania. Pure Appl. Math. J. 2017, 6(1), 39-44. doi: 10.11648/j.pamj.20170601.15

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AMA Style

Fatma S. Seif, Sara A. Khamis, John K. Mduma, Estomih S. Massawe. Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania. Pure Appl Math J. 2017;6(1):39-44. doi: 10.11648/j.pamj.20170601.15

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@article{10.11648/j.pamj.20170601.15,
  author = {Fatma S. Seif and Sara A. Khamis and John K. Mduma and Estomih S. Massawe},
  title = {Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania},
  journal = {Pure and Applied Mathematics Journal},
  volume = {6},
  number = {1},
  pages = {39-44},
  doi = {10.11648/j.pamj.20170601.15},
  url = {https://doi.org/10.11648/j.pamj.20170601.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20170601.15},
  abstract = {This paper examines the impact of education on the average age at the first marriage to women in Tanzania. A mathematical model for the distribution of average age at the first marriage in Tanzania is established and the effect of education on the year at first marriage is estimated for the years 1999 and 2003/04. Both descriptive analysis and model estimate show that education level and education attainment have an impact on the average age at the first marriage. It is established that as one attains further studies, her age at first marriage is delayed. The model validation was presented graphically to illustrate the validity of the model where the proportion of ever married p(a,x1,x2) fitted very closely to the empirical data.},
 year = {2017}
}

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TY  - JOUR
T1  - Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania
AU  - Fatma S. Seif
AU  - Sara A. Khamis
AU  - John K. Mduma
AU  - Estomih S. Massawe
Y1  - 2017/02/23
PY  - 2017
N1  - https://doi.org/10.11648/j.pamj.20170601.15
DO  - 10.11648/j.pamj.20170601.15
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 39
EP  - 44
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20170601.15
AB  - This paper examines the impact of education on the average age at the first marriage to women in Tanzania. A mathematical model for the distribution of average age at the first marriage in Tanzania is established and the effect of education on the year at first marriage is estimated for the years 1999 and 2003/04. Both descriptive analysis and model estimate show that education level and education attainment have an impact on the average age at the first marriage. It is established that as one attains further studies, her age at first marriage is delayed. The model validation was presented graphically to illustrate the validity of the model where the proportion of ever married p(a,x1,x2) fitted very closely to the empirical data.
VL  - 6
IS  - 1
ER  -

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Author Information

Fatma S. Seif

Department of Science, The State University of Zanzibar, Zanzibar, Tanzania
Sara A. Khamis

Department of Science, The State University of Zanzibar, Zanzibar, Tanzania
John K. Mduma

Department of Economics, University of Dar es Salaam, Dar es Salaam, Tanzania
Estomih S. Massawe

Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania

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Plain Text BibTeX RIS

APA Style

Fatma S. Seif, Sara A. Khamis, John K. Mduma, Estomih S. Massawe. (2017). Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania. Pure and Applied Mathematics Journal, 6(1), 39-44. https://doi.org/10.11648/j.pamj.20170601.15

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ACS Style

Fatma S. Seif; Sara A. Khamis; John K. Mduma; Estomih S. Massawe. Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania. Pure Appl. Math. J. 2017, 6(1), 39-44. doi: 10.11648/j.pamj.20170601.15

Copy | Download

AMA Style

Fatma S. Seif, Sara A. Khamis, John K. Mduma, Estomih S. Massawe. Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania. Pure Appl Math J. 2017;6(1):39-44. doi: 10.11648/j.pamj.20170601.15

Copy | Download

@article{10.11648/j.pamj.20170601.15,
  author = {Fatma S. Seif and Sara A. Khamis and John K. Mduma and Estomih S. Massawe},
  title = {Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania},
  journal = {Pure and Applied Mathematics Journal},
  volume = {6},
  number = {1},
  pages = {39-44},
  doi = {10.11648/j.pamj.20170601.15},
  url = {https://doi.org/10.11648/j.pamj.20170601.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20170601.15},
  abstract = {This paper examines the impact of education on the average age at the first marriage to women in Tanzania. A mathematical model for the distribution of average age at the first marriage in Tanzania is established and the effect of education on the year at first marriage is estimated for the years 1999 and 2003/04. Both descriptive analysis and model estimate show that education level and education attainment have an impact on the average age at the first marriage. It is established that as one attains further studies, her age at first marriage is delayed. The model validation was presented graphically to illustrate the validity of the model where the proportion of ever married p(a,x1,x2) fitted very closely to the empirical data.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Mathematical Modelling of Impact of Education on Average Age at the First Marriage in Tanzania
AU  - Fatma S. Seif
AU  - Sara A. Khamis
AU  - John K. Mduma
AU  - Estomih S. Massawe
Y1  - 2017/02/23
PY  - 2017
N1  - https://doi.org/10.11648/j.pamj.20170601.15
DO  - 10.11648/j.pamj.20170601.15
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 39
EP  - 44
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20170601.15
AB  - This paper examines the impact of education on the average age at the first marriage to women in Tanzania. A mathematical model for the distribution of average age at the first marriage in Tanzania is established and the effect of education on the year at first marriage is estimated for the years 1999 and 2003/04. Both descriptive analysis and model estimate show that education level and education attainment have an impact on the average age at the first marriage. It is established that as one attains further studies, her age at first marriage is delayed. The model validation was presented graphically to illustrate the validity of the model where the proportion of ever married p(a,x1,x2) fitted very closely to the empirical data.
VL  - 6
IS  - 1
ER  -

Copy | Download