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Power Law Distribution In Education: Effect Of Economical, Teaching, And Study Conditions In University Entrance Examination

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  • HARI M. GUPTA

    (Departamento de Física — IGCE, Universidade Estadual Paulista (UNESP), C. P. 178, Rio Claro 13500-970, SP, Brazil)

  • JOSÉ R. CAMPANHA

    (Departamento de Física — IGCE, Universidade Estadual Paulista (UNESP), C. P. 178, Rio Claro 13500-970, SP, Brazil)

  • FÁBIO R. CHAVARETTE

    (Departamento de Física — IGCE, Universidade Estadual Paulista (UNESP), C. P. 178, Rio Claro 13500-970, SP, Brazil)

Abstract

We studied the statistical distribution of student's performance, which is measured through their marks, in university entrance examination (Vestibular) of UNESP (Universidade Estadual Paulista) with respect to (i) period of study — day versus night period (ii) teaching conditions — private versus public school (iii) economical conditions — high versus low family income. We observed long ubiquitous power law tails in physical and biological sciences in all cases. The mean value increases with better study conditions followed by better teaching and economical conditions. In humanities, the distribution is close to normal distribution with very small tail. This indicates that these power law tails in science subjects are due to the nature of the subjects themselves. Further and better study, teaching and economical conditions are more important for physical and biological sciences in comparison to humanities at this level of study. We explain these statistical distributions through Gradually Truncated Power law distributions. We discuss the possible reason for this peculiar behavior.

Suggested Citation

  • Hari M. Gupta & José R. Campanha & Fábio R. Chavarette, 2003. "Power Law Distribution In Education: Effect Of Economical, Teaching, And Study Conditions In University Entrance Examination," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(04), pages 449-457.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:04:n:s0129183103004656
    DOI: 10.1142/S0129183103004656
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