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A Special Variable Sample Size and Sampling Interval Chart by Shashibhushan B. Mahadik; Digambar T. Shirke is a Mathematics article available to read on EtoBox.

What is A Special Variable Sample Size and Sampling Interval Chart about?

Among the variable sampling interval (VSI), variable sample size (VSS), and variable sample size and sampling interval (VSSI) X charts that use two values of each adaptive parameter, a VSI X chart is the best chart to detect large shifts in the process mean while a VSSI X chart is the best one to detect small shifts. Neither of the two is uniformly superior to the other for detecting a shift of any magnitude over a wide range. We propose a special VSSI (SVSSI) X chart whose statistical performance very closely matches that of such VSI and VSSI X charts for detecting large and small shifts, respectively. The three charts perform almost similarly for detecting moderate shifts. An SVSSI X chart uses two sampling intervals and three sample sizes. A reasonable procedure is described to obtain its optimal design. Guidelines are provided to choose a design that is fairly close to the optimal one. Besides this, we introduce a new measure of statistical performance of a control chart which unifies the two measures in the existing literature that measure the average shift detection time of a chart with different approaches.

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Author

Shashibhushan B. Mahadik; Digambar T. Shirke

Publisher

Informa UK Limited

Published

2009

Language

EN

Field

Mathematics (Physical Sciences)