Profile monitoring using synthetic T 2 control chart

In this paper, we propose synthetic T 2 chart for monitoring different parameters including Slope, Intercept and Error variance for simple and multiple linear regression profiles in Phase II. The construction and optimal design of the proposed synthetic T 2 chart are discussed in detail. The steady-...

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Bibliographic Details
Published inCommunications in statistics. Simulation and computation Vol. 54; no. 6; pp. 1622 - 1637
Main Authors Ghadge, Onkar, Ghute, Vikas
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.06.2025
Subjects
Average run length
Control chart
Intercept
Linear regression profiles
Slope
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Summary:In this paper, we propose synthetic T 2 chart for monitoring different parameters including Slope, Intercept and Error variance for simple and multiple linear regression profiles in Phase II. The construction and optimal design of the proposed synthetic T 2 chart are discussed in detail. The steady-state performance of the proposed chart is evaluated by the Average Run Length (ARL) and Standard Deviation of Run Length (SDRL) and is compared with the existing charts in the literature for monitoring simple and multiple linear profiles. It turns out that the proposed synthetic T 2 chart performs uniformly better than the traditional T 2 chart in detecting different kinds of shifts in the parameters of the simple and multiple linear profiles under steady-state run length performance. An example with a real data set is also presented to explain the implementation of the proposed chart.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2023.2291333