Hidden properties in the main sampling techniques

  • Authors

    • Mohammad Fraiwan Al-Saleh Professor of Statistics, Yarmouk University, Jordan Jordan
    • Hashim Abdallah Jarrah Department of Statistics, Yarmouk University-Jordan

    Received date: February 20, 2025

    Accepted date: March 6, 2025

    Published date: March 11, 2025

    https://doi.org/10.14419/dp63md84
  • Correlation Coefficient; Ordered Population; Periodic Population; Random Sampling Techniques Similar ‎within; Similar Among‎.

  • Abstract

    Several important and hidden properties in the main sampling techniques, Simple, ‎Stratified, Cluster and Systematic random samplings, are highlighted. A new result about ‎Pearson correlation coefficient of all pairs of the values of the variable of interest for the ‎population elements is explored. The highlighting of these properties may have a real ‎contribution to educational statistics‎.

  • References

    1. AL-Saleh, M. F. (2005). On the confusion about ( )-divisor of the standard deviation. Journal of Probability and Statistical Sci-ence, 5, 139-144.
    2. AL-Saleh, M. F. (2007). A rich learning lesson using the Poisson distribution. Statistical Methodology, 4, 504-507. https://doi.org/10.1016/j.stamet.2007.01.005.
    3. Al-Saleh, M. F. and Yousif, A. E. (2009). Properties of the standard deviations that are rarely mentioned in classrooms. Austrian jour-nal of statistics, 3, 193-202.
    4. Al-Saleh, M. F. (2012). Statistical Ideas that are Rarely Mentioned in Classrooms. 12th Islamic Countries Conference on Statistical Sci-ences, Qatar.
    5. Al-Saleh, M. F. (2015). Mathematical Ideas that are Rarely Mentioned in Classrooms. Second Statistical Conference, Jordan.
    6. Al-Saleh, M. F. and Maabreh, Arwa (2025). A Rich Learning Statistical Lesson in the Cauchy Distribution. Mutah Lil Buhuth wad-Dirasat Natural and Applied Sciences. To appear.
    7. Balakrishnan, N. and Balasubramanian, K. (2007). Revisiting Sen’s inequalities on order statistics. Statistics and probability letters,78, 616-621. https://doi.org/10.1016/j.spl.2007.09.023.
    8. Casella, G. and Berger, R. (1990). Statistical Inference, Wadsworth & Brooks/Cole Advanced Book & Software, California, USAHein-bockel, J. H. (2012). Introduction to Calculus Volume II, Old Dominion University, VA, USA.
    9. Heinbockel, J. H. (2012). Introduction to Calculus Volume II, Old Dominion University, VA, USA.
    10. Heien, H. C. and Rahman, M. (2005). "Revisiting the Digits of PI and Their Randomness", International Journal of Statistical Sci-ence(IJSS), 4, 13-24.
    11. Sahoo, P. (2013). Probability and Mathematical Statistics. First Edition. Thompson, University of Lewisville, KY, USA.
    12. Schaeffer, R. L., Mendenhall, W. and Ott, R. L. (2006). Elementary Survey Sampling. Sixth edition, Duxbury Press.

  • Downloads

  • Received date: February 20, 2025

    Accepted date: March 6, 2025

    Published date: March 11, 2025