Practical Process Capability Indices Workflows

TL;DR

This paper develops practical workflows for univariate process capability analysis, integrating outlier detection, normality testing, and distribution fitting to improve accuracy and usability in quality control.

Contribution

It introduces comprehensive procedural workflows that address various scenarios, simplifying PCI analysis and enhancing its robustness for practitioners and researchers.

Findings

Integrated outlier detection, normality testing, and distribution fitting into PCI workflows.

Guidance for selecting appropriate PCIs based on process conditions.

Enhanced accuracy and robustness in process capability assessments.

Abstract

This paper presents a comprehensive review of univariate process capability indices (PCIs), which are critical metrics for assessing how effectively a manufacturing process satisfies customer specifications based on a single quality characteristic. The primary objective of this review is to develop practical procedural workflows for conducting process capability analysis under various preconditions, including those less frequently addressed scenarios in existing literature. Key analytical components, such as outlier detection, normality test, and best distribution fitting, are integrated into the proposed framework to ensure accurate and robust capability assessments. By systematically evaluating a range of methodologies, this study offers guidance for researchers and practitioners in selecting the most appropriate PCIs for specific process conditions. Ultimately, the work aims to simplify the complexity of PCI analysis while enhancing its precision and utility in quality control and process improvement efforts.