Effect of measurement errors on triple sampling X¯${{\bar{\bm X}}}$ chart

Adamu A. Umar; Michael B. C. Khoo; Sajal Saha; Abdul Haq

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Quality and Reliability Engineering International

Article . 2022 . Peer-reviewed

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Effect of measurement errors on triple sampling X¯${{\bar{\bm X}}}$ chart

descriptionPublicationkeyboard_double_arrow_right Article 06 Jan 2022 English Publisher:WileyJournal:Quality and Reliability Engineering International, volume 38, pages 1,886-1,908 (issn: 0748-8017, eissn: 1099-1638,

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Authors: Adamu A. Umar; Michael B. C. Khoo; Sajal Saha; Abdul Haq;

doi: 10.1002/qre.3061

Effect of measurement errors on triple sampling X¯${{\bar{\bm X}}}$ chart

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Abstract

AbstractThe performance of the triple sampling (TS) chart is investigated by using a linear covariate error model that considers the presence of measurement errors (ME), called the TS‐ME chart. The sensitivity of the TS‐ME chart is evaluated by means of the average run length (ARL) and standard deviation of the run length (SDRL) performance measures. Additionally, the false alarm rate (FAR) metric is also considered in analyzing the TS‐ME chart's performance. The findings reveal that, as expected, ME significantly affect the TS‐ME chart's performance but taking multiple measurements for each item may compensate for this setback. An example based on real‐life data is given to illustrate the application of the TS‐ME chart.

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