Statistical Process Control And Capability Analysis of Mechanical Component Dimensions with Operator Factor

Authors

  • Angelica Tambunan Department of Statistics, State University of Medan
  • Rut Remita Assianna g Situmoran Department of Statistics, State University of Medan

DOI:

https://doi.org/10.20956/j.v22i3.50388

Keywords:

Statistical Process Control, Pengendalian Kualitas Statistik, Bagan kendali, Peningkatan kualitas

Abstract

Statistical quality control (SQC) is a fundamental approach in modern manufacturing for ensuring that  production processes consistently conform to specified quality requirements. This study applies an integrated SQC framework comprising the Xbar-R control chart, one-way analysis of variance (ANOVA), and process capability analysis to evaluate the dimensional quality of mechanical components sourced from an open manufacturing dataset publicly available on Kaggle (Parts Manufacturing Industry Dataset). Three critical dimensions were examined: length, width, and height, each measured by 20 operators with five replicates per operator (n = 100 per dimension). Prior to control charting, data normality was verified through probability plots based on the Anderson-Darling statistic. The Xbar-R analysis revealed out-of-control signals for the length dimension at subgroups 3 and 5, and for width at subgroup 3, indicating the presence of assignable (special) causes of variation. One-way ANOVA demonstrated that inter-operator effects on width were statistically non-significant (F = 1.34, p = 0.185), whereas significant operator-to-operator differences were detected for length (F = 2.10, p = 0.012). Process capability indices showed that all three dimensions fell below the minimum acceptable threshold of Cp ≥ 1.33, with length being most critical (Cp = 0.84, Cpk = 0.71). The findings underscore the necessity of targeted corrective actions including measurement system standardisation, operator retraining, and process variability reduction.

 

References

[1] Antony, J., Snee, R., & Hoerl, R., 2021. Lean Six Sigma: Yesterday, Today and Tomorrow. International Journal of Quality & Reliability Management, Vol. 38, No. 5, 1093–1114. https://doi.org/10.1108/IJQRM-10-2019-0314

[2] Benková, M., Bednárová, D., & Bogdanovská, G., 2024. Process Capability Evaluation Using Capability Indices as a Part of Statistical Process Control. Mathematics, Vol. 12, No. 11, 1679. https://doi.org/10.3390/math12111679

[3] Besterfield, D. H., 2014. Quality Control, 9th ed. Pearson Education, New Jersey.

[4] Garvin, D. A., 2020. Managing Quality: The Strategic and Competitive Edge, Reprint ed. Free Press, New York.

[5] Groover, M. P., 2019. Fundamentals of Modern Manufacturing: Materials, Processes, and Systems, 6th ed. Wiley, Hoboken.

[6] Kotz, S., & Lovelace, C. R., 2019. Process Capability Indices in Theory and Practice. Chapman and Hall/CRC, Boca Raton.

[7] Kurniawati, D., Susanto, A., & Hartono, B., 2022. Penerapan Peta Kendali Xbar-R dalam Pengendalian Kualitas Dimensi Komponen Otomotif. Jurnal Teknik Industri, Vol. 23, No. 1, 45-58.

[8] Kutner, M. H., Nachtsheim, C. J., Neter, J., & Li, W., 2013. Applied Linear Statistical Models, 5th ed. McGraw-Hill/Irwin, New York.

[9] Kwilinski, A., Kardas, M., & Trushkina, N., 2025. Application of X-bar R Control Charts for Process Efficiency Monitoring: A Data-Driven Approach in Quality Management. Applied Innovations in Information Technologies (ICAIIT), Vol. 13, No. 1, 511–523. https://doi.org/10.22687/ICAIIT-2025-13-1-3-7

[10] Mkandawire, B., Mwanza, M., & Mbohwa, C., 2022. Statistical Process Control Application in Manufacturing: A Systematic Review. Journal of Engineering Research and Reports, Vol. 23, No. 4, 58–74.

[11] Montgomery, D. C., 2020. Introduction to Statistical Quality Control, 8th ed. Wiley, Hoboken.

[12] Nugroho, A., & Supriyanto, H., 2021. Integrasi Analisis Kapabilitas Proses dan Six Sigma untuk Peningkatan Kualitas Komponen Presisi. Jurnal Sistem dan Manajemen Industri, Vol. 5, No. 2, 89–102.

[13] Pyzdek, T., & Keller, P. A., 2018. The Six Sigma Handbook, 5th ed. McGraw-Hill Education, New York.

[14] Rahmawati, F., Wibowo, S., & Kusuma, D., 2023. Analisis Variabilitas Proses Menggunakan ANOVA dan Peta Kendali pada Industri Elektronik. Jurnal Statistika dan Aplikasinya, Vol. 7, No. 1, 12–25.

[15] Salah, S., Rahim, A., & Carretero, J. A., 2021. The Integration of Six Sigma and Lean Management. International Journal of Lean Six Sigma, Vol. 12, No. 3, 533–558.

[16] Santello, G., 2022. Parts Manufacturing Industry Dataset. Kaggle. https://www.kaggle.com/datasets/gabrielsantello/parts-manufacturing-industry-dataset [Accessed: March 2024].

[17] Santos, R., Barbosa, J., & Silva, A., 2021. Application of Statistical Process Control in Production Quality Management: A Literature Review. Quality Management Journal, Vol. 28, No. 4, 196–212.

[18] Tague, N. R., 2018. The Quality Toolbox, 3rd ed. ASQ Quality Press, Milwaukee.

[19] Walpole, R. E., Myers, R. H., Myers, S. L., & Ye, K., 2017. Probability and Statistics for Engineers and Scientists, 9th ed. Pearson, New York.

[20] Woodall, W. H., & Montgomery, D. C., 2014. Some Current Directions in the Theory and Application of Statistical Process Monitoring. Journal of Quality Technology, Vol. 46, No. 1, 78–94.

[21] Yit Long, C., Khoo, M. B. C., & Castagliola, P., 2022. A New SPC Monitoring Scheme for Simultaneously Monitoring Process Location and Dispersion. Quality Engineering, Vol. 34, No. 2, 179–193.

[22] Zhang, S., Li, Y., & Wang, H., 2023. Multi-Dimensional Process Capability Evaluation in Precision Manufacturing: A Case Study. International Journal of Production Research, Vol. 61, No. 10, 3305–3322.

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Published

2026-05-14

How to Cite

Tambunan, A., & Situmoran, R. R. A. g. (2026). Statistical Process Control And Capability Analysis of Mechanical Component Dimensions with Operator Factor. Jurnal Matematika, Statistika Dan Komputasi, 22(3), 781–794. https://doi.org/10.20956/j.v22i3.50388

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Section

Research Articles