The Impact of Sample Size on the Probability Samples to Estimate the Total population Number

Mohammedelameen Eissa Qurashi; Mubarak H Elhafian

doi:10.17485/IJST/v16i39.303

Article

The Impact of Sample Size on the Probability Samples to Estimate the Total population Number

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i39.303

Year: 2023, Volume: 16, Issue: 39, Pages: 3316-3324

Original Article

The Impact of Sample Size on the Probability Samples to Estimate the Total population Number

Mohammedelameen Eissa Qurashi¹, Mubarak H Elhafian^2*

¹Sudan University of Science & Technology, Faculty of Science, Department of Statistic, Sudan
²King Abdul-Aziz University, Collage of Science and Arts Department of Mathematics, Rabigh, Saudi Arabia

*Corresponding Author
Email: [email protected]
[email protected]

Received Date:05 February 2023, Accepted Date:22 September 2023, Published Date:17 October 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: to determine the best sampling technique based on the allowable error. Method: Data of people infected with malaria in Khartoum State during the year 2019 was considered. The data were taken from the Ministry of Health, Khartoum State Sudan, where the population is divided into four stratums. The mean, the total number, and the confidence interval were estimated. A comparison between simple, stratified and systemic random sampling in terms of the accuracy of the estimate , and the effect of marginal error in determining the sample size was known. Findings: The study found that when a smaller allowable error is used, the sample size increases and the estimates are more accurate. Novelty: Through the study, we recommend the researchers for using stratified sampling with the optimum distribution to get better accuracy.

Keywords: Allowable Error, Stratified Random Sampling, Population Total Number, Mean Variance, Sample Size

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Copyright

© 2023 Qurashi & Elhafian. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)