Proposed Capability Indices Based on Robust Estimation Compared with Classical Capability Indices

Dler H. Kadir; Alan G. Rahim; Dashty I. Jamil; Dlshad M. Saleh

doi:10.24086/cuesj.v7n2y2023.pp49-53

Dler H. Kadir (1) Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq; (2) Department of Business Administration, Cihan University-Erbil, Kurdistan Region - F.R. Iraq https://orcid.org/0000-0002-1254-721X
Alan G. Rahim Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq https://orcid.org/0009-0001-3788-6840
Dashty I. Jamil Department of Accounting, Cihan University - Erbil, Kurdistan Region, Iraq https://orcid.org/0000-0002-2110-7611
Dlshad M. Saleh (1) Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq; (2) Department of Marketing, College of Administration and Economics, Lebanese French University, Erbil, Kurdistan Region, Iraq https://orcid.org/0009-0001-3213-9205

DOI: https://doi.org/10.24086/cuesj.v7n2y2023.pp49-53

Keywords: Process capability index, robust estimation, quality control, standard deviation., specification

Abstract

A process capability study is a scientific and systematic procedure that uses control charts to detect and eliminate the unnatural causes of variation until a state of statistical control is reached. On the other hand, in order to meet the quality requirements of the final product, quality should be achieved at every stage of production. Another way of achieving good quality during production is to use statistical techniques at every stage of production. The purpose of this research is to apply it to process capacity indices in replace of the standard deviation estimator. The information, which is taken from the Coca-Cola/Erbil production process, illustrates the qualities of the beverage (750 ml). A Coca-Cola product's 100 observations are divided into 25 models. Employed both the standard deviation estimator-based and the robust Downton estimation-based process capability indices. It was determined that in this inquiry, the robust Downton estimation had better qualities than the standard division estimator because the robust Downton estimation process capacity index values were greater.

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Author Biographies

Dler H. Kadir, (1) Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq; (2) Department of Business Administration, Cihan University-Erbil, Kurdistan Region - F.R. Iraq

Dler Hussien Kadir is currently a full-time Assistant Professor at the Department of Statistics, College of Administrative and Economics at Salaheddin University-Erbil. He received his Ph.D. degree in the Department of Probability and Statistics at the University of Sheffield in the UK, M.Sc. degree in Statistics from the University of Sulaymaniyah in Iraq, and a B.Sc. Degree in Statistics from Salahaddin University-Erbil. H isresearch interest includes Bayesian inference, MCMC, and Statistical Modeling.

Alan G. Rahim, Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq

Alan Ghafur Rahim is currently a full-time Lecturer at the Department of Statistics and Informatics, College of Administrative and Economics at Salaheddin University-Erbil. He was awarded a B.Sc. in Statistics from the University of Salahaddin in 2007. He received a M.Sc. degree in applied statistics at Salahaddin University. He received his Ph.D. degree in the Department of Statistics and Informatics / University Salahaddin in 2022. His research interest includes Penalized regression, Discrete Wavelet Transformation , and Quality Control.

Dashty I. Jamil, Department of Accounting, Cihan University - Erbil, Kurdistan Region, Iraq

Dashty Ismil Jamil received his MSc in Social Statistics from the University of Southampton in 2013 in the United Kingdom. He has been serving at Lebanese French University since 2014 as a lecturer. He is teaching as a Lecturer in the department of Accounting, Cihan University-Erbil. His research interest is statistics.

Dlshad M. Saleh, (1) Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq; (2) Department of Marketing, College of Administration and Economics, Lebanese French University, Erbil, Kurdistan Region, Iraq

Dlshad Mahmood Saleh works as a full-time lecturer at Salaheddin University-Erbil's Department of Statistics and Informatics at the College of Administrative and Economics. He earned his Ph.D. from the University of Salahaddin's Department of Statistics and Informatics. His research interests are: Penalized regression, Discrete Wavelet Transformation, and Quality Control

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