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

Yilin Yang

doi:10.54254/2754-1169/10/20230420

Research Article

Open access

Published on 13 September 2023

Download pdf

Yang,Y. (2023). Research on the Comparison of Sampling with and Without Replacement in Quality Control Test. Advances in Economics, Management and Political Sciences,10,21-27.

Export citation

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.

https://doi.org/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

View pdf

References

[1]. Wang,Y.: Bayes Reliability Sampling and Inspection Scheme for Normally Distributed Products. Journal of Jilin Institute of Chemical Technology (05), 88-92 (2020).

[2]. Wei, P., Qin, G., Liang, X.: A sampling test scheme based on conjugate normal distribution. Journal of Xiangtan University (Natural Science Edition) (04), 13-17+34. (2021).

[3]. Chang, C.: A fast algorithm on inventory product quality level assessment. Light Industry Standards and Quality (01), 79-83 (2021).

[4]. Traat, I., Ilves, M.: The Hypergeometric Sampling Design, Theory and Practice. Acta Applicandae Mathematicae (1-3) (2007).

[5]. Bouslah, B., Gharbi, A., Pellerin, R.: Integrated production, sampling quality control and maintenance of deteriorating production systems with AOQL constraint. Omega (2016).

[6]. Chang, Z.: Application of probabilistic methods in quality inspection of textile products. Mathematical Statistics and Management (03), 41-43 (2003).

[7]. Qiu, W., Ren, Z., Zhao, F.: Application of metrology sampling in quality inspection of gear ring parts. Light Industry Machinery (05), 102-106 (2019).

[8]. Jiang, A.: Exploration of the importance of sampling inspection methods in product quality inspection. China Standardization (18),100-101 (2017).

[9]. Guo, X.: Using probability theory and mathematical statistics theory to optimize product quality supervision and sampling system. China Inspection and Testing (03) (2017).

[10]. Zhou, F., Wang, X., Yang, X., Jia, Y.: Rumination on the process control of chemical product sampling in quality supervision and inspection. Chemical Management (35), 203 (2014).

[11]. Luan, M.: Analysis of influencing factors of chemical product quality testing and strategies to cope with them. Chemical Management (06), 60 (2017).

Cite this article

Yang,Y. (2023). Research on the Comparison of Sampling with and Without Replacement in Quality Control Test. Advances in Economics, Management and Political Sciences,10,21-27.

Data availability

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

Disclaimer/Publisher's Note

The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of EWA Publishing and/or the editor(s). EWA Publishing and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

About volume

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

Conference website: https://2023.confbps.org/

ISBN：978-1-915371-47-8(Print) / 978-1-915371-48-5(Online)

Conference date: 26 February 2023

Editor：Javier Cifuentes-Faura, Canh Thien Dang

Series: Advances in Economics, Management and Political Sciences

Volume number: Vol.10

ISSN：2754-1169(Print) / 2754-1177(Online)

© 2024 by the author(s). Licensee EWA Publishing, Oxford, UK. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license. Authors who publish this series agree to the following terms:
1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this series.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this series.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See Open access policy for details).