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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

Weighted standard deviation method for X and S control charts

Derya Karagöz0000-0002-8283-8573
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Yayın Tarihi
2019-08-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The Simulation studies show that the proposed control charts have good properties for skewed distributions and large sample sizes.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A Shewhart chart based on normality assumption is not appropriate for skewed distributions since its Type-I error rate is inflated.
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Temel Bulgular & Veri:The performances of the proposed charts are compared with other heuristic charts for skewed distributions by using Simulation study.
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Sonuç & Katkı:The Simulation studies show that the proposed control charts have good properties for skewed distributions and large sample sizes.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Weighted standard deviation · lognormal distributions · X and S control charts

Abstract

A Shewhart chart based on normality assumption is not appropriate for skewed distributions since its Type-I error rate is inflated. This study presents X and S control charts for monitoring the process variability for skewed distributions. We propose Weighted Standard Deviation (WSD) X and S control charts. Standard deviation estimator is applied to monitor the process variability for estimating the process standard deviation, in the case of the WSD X and S control charts as this estimator is simple and easy to compute. Unlike the Shewhart control chart, the proposed charts provide asymmetric limits in accordance with the direction and degree of skewness to construct the upper and lower limits. The performances of the proposed charts are compared with other heuristic charts for skewed distributions by using Simulation study. The Simulation studies show that the proposed control charts have good properties for skewed distributions and large sample sizes.

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Bu Makaleye Atıf Yap

Karagöz, D. (2019). Weighted standard deviation method for X and S control charts. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.530462

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Kaynakça (7)

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  7. Montgomery, D.C., 1997, Introduction to Statistical Quality Control. John Wiley&Sons. Inc., USA.