An Extension of Economic Design of x-Bar Control Charts for Non Normally Distributed Data Under Weibull Shock Models

• Published in: Communications in statistics. Theory and methods Vol. 40; no. 21; pp. 3879 - 3902
• Main Authors: Yeh, Li Lun, Wang, Peng Kai, Li, Feng Chia, Yeh, Yu Mei
• Format: Journal Article
• Language: English
• Published: Philadelphia, PA Taylor & Francis Group 01.11.2011; Taylor & Francis
• Subjects: Applications; Burr distribution; Combinatorics; Combinatorics. Ordered structures; Designs and configurations; Economic design; Exact sciences and technology; Experimental design; Fixed sampling interval; General topics; Insurance, economics, finance; Mathematics; Non normal distribution; Probability and statistics; Sciences and techniques of general use; Statistics; Variable sampling interval; Control chart; Variable sampling interval; Sample size; 34A34; Burr distribution; Gaussian distribution; Subgroup; Non normal distribution; Economic sciences; Industry; Statistical method; Engineering; Sampling theory; 90C30; Experimental design; Distribution function; Fixed sampling interval; Economic design; Sampling; Econometrics; Sample survey
• ISSN: 0361-0926; 1532-415X
• DOI: 10.1080/03610926.2010.501939

Three parameters-sample size, sampling intervals, and the control limits-must be determined when the x bar chart to monitor a manufacturing process. The constant sampling intervals were widely employed because of its administrative simplicity. However, the variable sampling interval (VSI) has recently been shown to give substantially faster detection of most process shifts than fixed-sampling-interval (FSI) for x-bar charts. In addition, these measurements in the subgroup are assumed to be normally distributed. That assumption may not be tenable. This investigation compares the economic design of x-bar control charts for non normal data under Weibull shock models with various sampling avenues.