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A preliminary study on the double sampling X-bar chart with unknown parameters

Authors: Wei Lin Teoh; Michael B. C. Khoo;

A preliminary study on the double sampling X-bar chart with unknown parameters

Abstract

The double sampling (DS) X chart is superior to the traditional Shewhart X chart in detecting small and moderate process mean shifts. In general, the DS X chart is typically designed under the assumption of known parameters. Nevertheless, the actual process parameters are rarely known in practice and are usually estimated from an in-control reference Phase I sample. In this paper, we discuss the effects of parameter estimation on the performance of the DS X chart, for both the in-control and out-of-control situations. It is found that the in-control and out-of-control performances are significantly different from the case when parameters are known, especially when the shifts and the sample sizes are small. In light of these unfavorable performances, the Phase-I sample-size recommendations are provided for practitioners in designing the DS X chart with estimated parameters, so that satisfactory performances as the case with known parameters are attained.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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