Advances in Economics, Management and Political Sciences

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Proceedings of the 2nd International Conference on Business and Policy Studies

Series Vol. 10 , 13 September 2023


Open Access | Article

Research on the Comparison of Sampling with and Without Replacement in Quality Control Test

Yilin Yang * 1
1 Chinese University of Hong Kong

* Author to whom correspondence should be addressed.

Advances in Economics, Management and Political Sciences, Vol. 10, 21-27
Published 13 September 2023. © 13 September 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Yilin Yang. Research on the Comparison of Sampling with and Without Replacement in Quality Control Test. AEMPS (2023) Vol. 10: 21-27. DOI: 10.54254/2754-1169/10/20230420.

Abstract

The choice of a reasonable and scientific sampling method and the implementation of efficient quality control tests can help companies achieve economic and social benefits. In this paper, probability theory and statistics are applied to provide a basis for enterprises to consider the choice of sampling with and without replacement through case studies and modeling. These two sampling methods lead to binomial and hypergeometric distributions of probabilities, respectively. The differences between them are found to be negligible in the case of large population size by calculations at N→∞. Based on comparison of sampling methods, this paper further divides the manufacturing industry into the chemical industry, which is sensitive to the reliability of quality control test, and other manufacturing industries, which are more sensitive to cost while controlling quality. In the end, suggestions are proposed for improving quality control tests for the category industries respectively.

Keywords

binominal distribution, hypergeometric distribution, sampling method, quality control test

References

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Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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Volume Title
Proceedings of the 2nd International Conference on Business and Policy Studies
ISBN (Print)
978-1-915371-47-8
ISBN (Online)
978-1-915371-48-5
Published Date
13 September 2023
Series
Advances in Economics, Management and Political Sciences
ISSN (Print)
2754-1169
ISSN (Online)
2754-1177
DOI
10.54254/2754-1169/10/20230420
Copyright
13 September 2023
Open Access
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

Copyright © 2023 EWA Publishing. Unless Otherwise Stated