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Journal of Empirical Studies

March 2014, Volume 1, 1, pp 23-29

Development of Logarithmic Equations for Statistical Sample Determination

Moayad B. Zaied


Ahmed M. El Naim


Dafalla M. Mekki

Moayad B. Zaied 1
Ahmed M. El Naim 2
Dafalla M. Mekki 3

  1. Department of Agric. Eng., Faculty of Natural Resources and Environmental Studies, University of Kordofan, Elobied, Sudan 1

  2. Department of Crop Sciences, Faculty of Natural Resources and Environmental Studies, University of Kordofan, Elobied, Sudan 2

  3. Department of Animal Production, Faculty of Natural Resources and Environmental Studies, University of Kordofan, Elobied, Sudan 3


Sample size estimation is a fundamental step in designing trials and studies for which the primary objective is the estimation or the comparison of parameters. In this paper, the equation of sample for proportion was used to develop two equations for sample size determination. The resultant equations are natural and normal logarithmic. The validation test was conducted for populations with different sizes from 10 to 100000 from which sample size was calculated applying the equation of sample for proportion, finite population correction for proportion equation and the developed equations at 0.05 and 0.01 levels of significance. It was found that the sample size calculated by natural logarithmic equation was larger than sample sizes calculated by proportion, finite population correction for proportion, and normal logarithmic equation. Sample size calculated by normal logarithmic equation was the smallest up to 1000 population size at 0.05 level of significance and up to 10000 population sizes at 0.01 levels.
Contribution/ Originality



  1. Altman, D., D. Machin, T. Bryant and S. Gardner, 2000. Statistics with confi dence: Confidence intervals and statistical guidelines. 2nd Edn., BMJ Books.
  2. Armitage, P., G. Berry and J.N.S. Matthews, 2002. Statistical methods in medical research. 4th Edn., Blackwell Science.
  3. Daniel, W.W., 1999. Biostatistics: A foundation for analysis in the health sciences. 7th Edn., New York: John Wiley & Sons.
  4. Friedman, L., C. Furberg and D.L. DeMets, 1998. Fundamentals of clinical trials. 3rd Edn., New York: Springer-Verlag.
  5. Gardner, M.J. and D.G. Altman, 1986. Confidence intervals rather than P values: Estimation rather than hypothesis testing, BMJ (292): 746–750.
  6. Gardner, M.J. and D.G. Altman, 1988. Estimating with confidence, BMJ (296): 1210–1211.
  7. Lwanga, S. and S. Lemeshow, 1991. Sample size determination in health studies: A practical manual. World Health Organization, Geneva.
  8. Machin, D., M. Campbell, P. Fayers and A. Pinol, 1997. Sample size tables for clinical studies. 2nd Edn., London: Blackwell Science.
  9. Naing, L., T. Winn and B.N. Rusli, 2006. Sample size calculation for prevalence studies. Archives of Orofacial Sciences, 1: 9-149.
  10. Piantadosi, S., 2005. Clinical trials: A methodologic perspective. 2nd Edn., Hoboken, New Jersey: John Wiley and Sons.
  11. Sackett, D.L., 2001. Randomized controlled trials . Failure to employ physiological statistics, or the only formula a clinician-trialist is ever likely to need. Canadian Medical Association Journal, 165: 1226–1236.


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