Investigating the Efficiency of Teaching Mathematics to Students by Using the Double Ranked Set Sampling

Gorgees Shaheed Mohammad

doi:10.29333/ejmste/102422

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Gorgees Shaheed Mohammad ¹ ^*

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¹ University of AL-Qadisiyah, College of Education, Department of Mathematics, IRAQ^* Corresponding Author

Abstract

The main objective of this paper is to evaluate the efficacy of double ranked set sampling method in teaching mathematics to the students. The notion of ranked set sampling for estimating the mean of a population and its advantage over the use of a simple random sampling for the sampling is established in the literature. Furthermore, the double ranked set sampling has proven to be even more efficient than RSS. In this research, we review the use of the DRSS to estimate the intercept, the slope, and the standard deviation of the error terms as parameters of a simple linear regression model of teaching mathematics to students, when replications exist at each value of the predictor. Finally, we illustrate the proposed procedure by applying it when the underlying distribution of the error terms is normal or Laplace. Regardless of the assumed number of replications in the experiment, we observe a substantial gain in relative precision while using DRSS procedure over using RSS technique.

Keywords

education
mathematics
regression model
teaching

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 15, Issue 3, March 2019, Article No: em1671

https://doi.org/10.29333/ejmste/102422

Publication date: 28 Dec 2018

Article Views: 2191

Article Downloads: 1078

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How to cite this article

APA

Mohammad, G. S. (2019). Investigating the Efficiency of Teaching Mathematics to Students by Using the Double Ranked Set Sampling. Eurasia Journal of Mathematics, Science and Technology Education, 15(3), em1671. https://doi.org/10.29333/ejmste/102422

Vancouver

Mohammad GS. Investigating the Efficiency of Teaching Mathematics to Students by Using the Double Ranked Set Sampling. EURASIA J Math Sci Tech Ed. 2019;15(3):em1671. https://doi.org/10.29333/ejmste/102422

AMA

Mohammad GS. Investigating the Efficiency of Teaching Mathematics to Students by Using the Double Ranked Set Sampling. EURASIA J Math Sci Tech Ed. 2019;15(3), em1671. https://doi.org/10.29333/ejmste/102422

Chicago

Mohammad, Gorgees Shaheed. "Investigating the Efficiency of Teaching Mathematics to Students by Using the Double Ranked Set Sampling". Eurasia Journal of Mathematics, Science and Technology Education 2019 15 no. 3 (2019): em1671. https://doi.org/10.29333/ejmste/102422

Harvard

Mohammad, G. S. (2019). Investigating the Efficiency of Teaching Mathematics to Students by Using the Double Ranked Set Sampling. Eurasia Journal of Mathematics, Science and Technology Education, 15(3), em1671. https://doi.org/10.29333/ejmste/102422

MLA

Mohammad, Gorgees Shaheed "Investigating the Efficiency of Teaching Mathematics to Students by Using the Double Ranked Set Sampling". Eurasia Journal of Mathematics, Science and Technology Education, vol. 15, no. 3, 2019, em1671. https://doi.org/10.29333/ejmste/102422