A comparison of normal approximation rules for attribute control charts

Takeshi Emura and Yi-Shuan Lin

MPRA Paper from University Library of Munich, Germany

Abstract: Control charts, known for more than 80 years, have been important tools for business and industrial manufactures. Among many different types of control charts, the attribute control chart (np-chart or p-chart) is one of the most popular methods to monitor the number of observed defects in products, such as semiconductor chips, automobile engines, and loan applications. The attribute control chart requires that the sample size n is sufficiently large and the defect rate p is not too small so that the normal approximation to the binomial works well. Some rules for the required values for n and p are available in the textbooks of quality control and mathematical statistics. However, these rules are considerably different and hence it is less clear which rule is most appropriate in practical applications. In this paper, we perform a comparison of five frequently used rules for n and p required for the normal approximation to the binomial. Based on this result, we also refine the existing rules to develop a new rule that has a reliable performance. Datasets are analyzed for illustration.

Keywords: attribute control chart; binomial distribution; np-chart; p-chart; statistical process control (search for similar items in EconPapers)
JEL-codes: C44 C46 C6 C63 L6 (search for similar items in EconPapers)
Date: 2013-08-05
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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