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Comparative Analysis of School Life Expectancy in Two Randomly Selected Basic Schools in Ghana: Using Life Table Functions and Survival Analysis

Received: 26 March 2019    Accepted: 15 May 2019    Published: 4 June 2019
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Abstract

This study applies life table functions and survival analysis to determine school life expectancy in Ghanaian private and public Basic Schools from grade 1 to grade 9 (JHS 3). The Kaplan Meier statistics such as Log Rank (Mantel-Cox), Breslow (Generalized Wilcoxon), and Tarone-Ware tests consistently showed a statistically significant difference between the male and female school dropout rate for private school pupils but showed statistically insignificant difference between male and female pupils’ dropout rate in public school pupils. The school life expectancy of grade 1 pupil in private and public schools were respectively found to be approximately 7 years for female and 8years for male; clearly showing that a grade one pupil in a private or public school who is a female has lower school life expectancy than the male counterparts. The survival curves for both private and public school cohorts showed that male pupils generally performed better than female counterparts. The survival curves and life table methods all established that peak dropout among male and female pupils generally occurred between grades 6 and 8 inclusive. It was also evident that average school life expectancy decreases with increasing age (i. e. with increasing grade levels). The study recommended further research to explore the effect of adolescent stage on the girl child education.

Published in Science Journal of Applied Mathematics and Statistics (Volume 7, Issue 2)
DOI 10.11648/j.sjams.20190702.11
Page(s) 8-14
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

Life Table Functions, Kaplan Meier, Demography, Survival Analysis, School Dropout, Life Expectancy

References
[1] Kovacheva T. P (2017). International Mathematical Forum, Vol. 12, 2017, no. 10, 469 - 479. HIKARI Ltd, www.m-hikari.com. https://doi.org/10.12988/imf.2017.7225.
[2] Pollard, J. H. (1998). Keeping abreast of mortality change. Actuarial and Demography Research Paper Series, No. 002/98.
[3] Renshaw, A. E. & Haberman, S. (2000). Modelling for mortality reduction factors (Actuarial Research Paper No. 127). Department of Actuarial Science and Statistics, City University, London.
[4] Renshaw, A. E. & Haberman, S. (2006). A cohort-based extension of the Lee^Carter model for mortality reduction factors. Insurance: Mathematics and Economics, 38, 556-570.
[5] Tabeau, E., Van Den Berg Jeths, A. & Heathcote, C. (eds.) (2001a). Forecasting mortality in developed countries: insights from a statistical, demographic and epidemiological perspective. Kluwer Academic Publishers, Dordrecht.
[6] Igwenagu C. M. (2014). The Application of Life Table Functions: A Demographic Study. e-ISSN: 2278-5728, p ISSN: 2319-765X Volume 10, Issue 1 Ver. IV. (Feb. 2014), PP 80-82 www.iosrjournals.org.
[7] United Nations (1983), Manual X: Indirect Techniques for Demographic Estimation, New York: United Nations, available online at: http://www.un.org/en/development/desa/population/publications/manual/estimate/demographic estimation.shtml.
[8] Beaujouan, Éva and Tomáš Sobotka, Late Motherhood in Low-Fertility Countries: Reproductive Intentions, Trends and Consequences, VID Working Paper 2/2017 and Human Fertility Database Research Report HFD RR-2017.
[9] Liang-Xiong Hu, Hsin Chi, Jie Zhang, Qianz Zhou, and Run-Jie Zhang, Life-Table Analysis of the Performance of Nilaparvata lugens (Hemiptera: Delphacidae) on Two Wild Rice Species. J. Econ. Entomol. 103 (5): 1628-1635 (2010); DOI: 10.1603/EC10058.
[10] Cutler SJ, Ederer F. Maximum utilization of the life table method in analyzing survival. J Chron Dis 1958; 8: 699-712.
[11] Kramer MS. Clinical Epidemiology and Biostatistics. A primer for clinical investigators and decision-makers. New York: Springer-Verlag, 1988.
[12] Lancaster HO. An introduction to medical statistics. Sydney: John Wiley 8c Sons, 1974.
[13] Norman GR, Streiner DL. Biostatistics: the bare essentials. Toronto: Mosby, 1994.
[14] Spiegel MR. Schaum’s outline of theory and problems of statistics. New York: McGraw-Hill Book Company, 196.
[15] Moultrie T. A., R. E. Dorrington, A. G. Hill, K. Hill, I. M. Timæus & B. Zaba (eds). 2013. Tools for Demographic Estimation. Paris: International Union for the Scientific Study of Population. available online at: http://demographicestimation.iussp.org/.
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    Bosson-Amedenu Senyefia, Danku Diaba Kafui, Opoku Frank. (2019). Comparative Analysis of School Life Expectancy in Two Randomly Selected Basic Schools in Ghana: Using Life Table Functions and Survival Analysis. Science Journal of Applied Mathematics and Statistics, 7(2), 8-14. https://doi.org/10.11648/j.sjams.20190702.11

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    ACS Style

    Bosson-Amedenu Senyefia; Danku Diaba Kafui; Opoku Frank. Comparative Analysis of School Life Expectancy in Two Randomly Selected Basic Schools in Ghana: Using Life Table Functions and Survival Analysis. Sci. J. Appl. Math. Stat. 2019, 7(2), 8-14. doi: 10.11648/j.sjams.20190702.11

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    AMA Style

    Bosson-Amedenu Senyefia, Danku Diaba Kafui, Opoku Frank. Comparative Analysis of School Life Expectancy in Two Randomly Selected Basic Schools in Ghana: Using Life Table Functions and Survival Analysis. Sci J Appl Math Stat. 2019;7(2):8-14. doi: 10.11648/j.sjams.20190702.11

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  • @article{10.11648/j.sjams.20190702.11,
      author = {Bosson-Amedenu Senyefia and Danku Diaba Kafui and Opoku Frank},
      title = {Comparative Analysis of School Life Expectancy in Two Randomly Selected Basic Schools in Ghana: Using Life Table Functions and Survival Analysis},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {7},
      number = {2},
      pages = {8-14},
      doi = {10.11648/j.sjams.20190702.11},
      url = {https://doi.org/10.11648/j.sjams.20190702.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20190702.11},
      abstract = {This study applies life table functions and survival analysis to determine school life expectancy in Ghanaian private and public Basic Schools from grade 1 to grade 9 (JHS 3). The Kaplan Meier statistics such as Log Rank (Mantel-Cox), Breslow (Generalized Wilcoxon), and Tarone-Ware tests consistently showed a statistically significant difference between the male and female school dropout rate for private school pupils but showed statistically insignificant difference between male and female pupils’ dropout rate in public school pupils. The school life expectancy of grade 1 pupil in private and public schools were respectively found to be approximately 7 years for female and 8years for male; clearly showing that a grade one pupil in a private or public school who is a female has lower school life expectancy than the male counterparts. The survival curves for both private and public school cohorts showed that male pupils generally performed better than female counterparts. The survival curves and life table methods all established that peak dropout among male and female pupils generally occurred between grades 6 and 8 inclusive. It was also evident that average school life expectancy decreases with increasing age (i. e. with increasing grade levels). The study recommended further research to explore the effect of adolescent stage on the girl child education.},
     year = {2019}
    }
    

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    AU  - Bosson-Amedenu Senyefia
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    T2  - Science Journal of Applied Mathematics and Statistics
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    AB  - This study applies life table functions and survival analysis to determine school life expectancy in Ghanaian private and public Basic Schools from grade 1 to grade 9 (JHS 3). The Kaplan Meier statistics such as Log Rank (Mantel-Cox), Breslow (Generalized Wilcoxon), and Tarone-Ware tests consistently showed a statistically significant difference between the male and female school dropout rate for private school pupils but showed statistically insignificant difference between male and female pupils’ dropout rate in public school pupils. The school life expectancy of grade 1 pupil in private and public schools were respectively found to be approximately 7 years for female and 8years for male; clearly showing that a grade one pupil in a private or public school who is a female has lower school life expectancy than the male counterparts. The survival curves for both private and public school cohorts showed that male pupils generally performed better than female counterparts. The survival curves and life table methods all established that peak dropout among male and female pupils generally occurred between grades 6 and 8 inclusive. It was also evident that average school life expectancy decreases with increasing age (i. e. with increasing grade levels). The study recommended further research to explore the effect of adolescent stage on the girl child education.
    VL  - 7
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Author Information
  • Department of Mathematics and ICT, Holy Child College of Education, Takoradi, Ghana

  • Department of Languages, Holy Child College of Education, Takoradi, Ghana

  • Department of Mathematics and ICT, Holy Child College of Education, Takoradi, Ghana

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