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Design of side-sensitive double sampling control schemes for monitoring the location parameter

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dc.contributor.advisor Malela, M. J. C. Motsepa, Collen Mabilubilu 2021-06-02T09:19:54Z 2021-06-02T09:19:54Z 2019-12 2021-06
dc.description.abstract Double sampling procedure is adapted from a statistical branch called acceptance sampling. The first Shewhart-type double sampling monitoring scheme was introduced in the statistical process monitoring (SPM) field in 1974. The double sampling monitoring scheme has been proven to effectively decrease the sampling effort and, at the same time, to decrease the time to detect potential out-of-control situations when monitoring the location, variability, joint location and variability using univariate or multivariate techniques. Consequently, an overview is conducted to give a full account of all 76 publications on double sampling monitoring schemes that exist in the SPM literature. Moreover, in the review conducted here, these are categorized and summarized so that any research gaps in the SPM literature can easily be identified. Next, based on the knowledge gained from the literature review about the existing designs for monitoring the process mean, a new type of double sampling design is proposed. The new charting region design lead to a class of a control charts called a side-sensitive double sampling (SSDS) monitoring schemes. In this study, the SSDS scheme is implemented to monitor the process mean when the underlying process parameters are known as well as when they are unknown. A variety of run-length properties (i.e., the 5th, 25th, 50th, 75th, 95th percentiles, the average run-length (𝐴𝑅𝐿), standard deviation of the run-length (𝑆𝐷𝑅𝐿), the average sample size (𝐴𝑆𝑆) and the average extra quadratic loss (𝐴𝐸𝑄𝐿) metrics) are used to design and implement the new SSDS scheme. Comparisons with other established monitoring schemes (when parameters are known and unknown) indicate that the proposed SSDS scheme has a better overall performance. Illustrative examples are also given to facilitate the real-life implementation of the proposed SSDS schemes. Finally, a list of possible future research ideas is given with hope that this will stimulate more future research on simple as well as complex double sampling schemes (especially using the newly proposed SSDS design) for monitoring a variety of quality characteristics in the future. en
dc.format.extent 1 online resource (ix, 119 leaves) : color illustrations, color graphs
dc.language.iso en en
dc.subject Double sampling en
dc.subject Monitoring scheme en
dc.subject Statistical process monitoring en
dc.subject Run-length properties en
dc.subject Overall performance measures en
dc.subject Side sensitive en
dc.subject Non-side-sensitive en
dc.subject Estimated parameters en
dc.subject Phase I en
dc.subject Phase II en
dc.subject.ddc 519.52
dc.subject.lcsh Sampling (Statistics) en
dc.subject.lcsh Statistical process control en
dc.subject.lcsh Parameter estimation en
dc.title Design of side-sensitive double sampling control schemes for monitoring the location parameter en
dc.type Dissertation en
dc.description.department Statistics en M. Sc. (Statistics)

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