Construction of the Daubechies Wavelet Chart for Quality Control of the Single Value

Section: Research Paper
Issue
Vol. 21 No. 1 (2024): Volume 21 Issue 1
Published
Jun 25, 2025
Pages
160-169

Abstract

In this paper, it was proposed to create a new quality control chart for the single value of the Daubechies wavelet to address the problem of data contamination before creating the single value chart and comparing it with the classical Shewhart single value chart. The proposed charts are an application of wavelet shrinkage and a universal threshold estimation method with a soft threshold rule to address the contamination problem and de-noise data to obtain a more efficient chart in controlling the single value and increasing the sensitivity of the chart in detecting minor changes that may occur in the production process. Accordingly, a single chart for the Daubechies wavelet with orders (1, 2, and 3) was proposed and applied to randomly generated data (simulated) for several cases, then real data and some efficiency indicators of the proposed charts were calculated and compared with the classical chart based on the MATLAB program. The paper results showed that all proposed charts were better than the classical chart for single values for all simulation cases and real data.

References

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Authors

Taha.H Ali

Department of Informatics & Statistic, College of Administration and Economics, Salahaddin University, Erbil,, Iraq

ORCID
Dlshad Mahmood Saleh

Department of Statistics and Informatics, College of Administration and Economics, University of Salahaddin, Erbil, Kurdistan Region, Iraq

ORCID
Bekhal Samad Sedeeq

Department of Statistics and Informatics, College of Administration and Economics, Salahaddin Uuniversity-Erbil, Erbil, Iraq

ORCID

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How to Cite

Ali, T., طه, Mahmood Saleh, D., دلشاد, Samad Sedeeq, B., & بيخال. (2025). Construction of the Daubechies Wavelet Chart for Quality Control of the Single Value. IRAQI JOURNAL OF STATISTICAL SCIENCES, 21(1), 160–169. Retrieved from https://rjps.uomosul.edu.iq/index.php/stats/article/view/20593