COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH S

A stable and controlled process will produce products of good quality following predetermined specifications. A control chart is one of the statistical tools that can be used to measure the stability of a product process in a controlled state. Control charts commonly used to evaluate the statistical...

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Main Authors: Mayashari Mayashari, Erna Tri Herdiani, Anisa Anisa
Format: Article
Language:English
Published: Universitas Pattimura 2024-05-01
Series:Barekeng
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Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10692
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author Mayashari Mayashari
Erna Tri Herdiani
Anisa Anisa
author_facet Mayashari Mayashari
Erna Tri Herdiani
Anisa Anisa
author_sort Mayashari Mayashari
collection DOAJ
description A stable and controlled process will produce products of good quality following predetermined specifications. A control chart is one of the statistical tools that can be used to measure the stability of a product process in a controlled state. Control charts commonly used to evaluate the statistical control process are Shewhart control charts ( and ). The control chart is used to control the process, as seen from the average and variability of the process. If the data used is not normally distributed or there are outliers, then an alternative control chart, namely the Median Absolute Deviation (MAD), can be used. MAD is used to monitor the process mean and process standard deviation because it has properties that are robust or resistant to deviations. This research aims to form a control chart  based on MAD, apply it to data on fat content in animal feed products, and compare control charts  based on  with the control chart based on  control chart based on MAD. The limitations in this study are the quality characteristics used consist of only one variable and the data is not normally distributed, only limited to the mean process, and the data used in this study are observation data on the fat content contained in animal feed products at PT Japfa Comfeed Indonesia Tbk Makassar Unit from December 2021 to January 2022. The results of this study show that the control chart  based on MAD detects more out-of-control points than the control  based on . The performance of the control chart  based on MAD is better at detecting changes in the process than the control chart   based on  because it has a relatively smaller ARL value.
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spelling doaj-art-4c4c99964ea04682b4737f23faba8ca42025-08-20T03:05:31ZengUniversitas PattimuraBarekeng1978-72272615-30172024-05-011820737075010.30598/barekengvol18iss2pp0737-075010692COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH SMayashari Mayashari0Erna Tri Herdiani1Anisa Anisa2Department of Statistics, Faculty of Mathematics and Natural Science, Hasanuddin University, IndonesiaDepartment of Statistics, Faculty of Mathematics and Natural Science, Hasanuddin University, IndonesiaDepartment of Statistics, Faculty of Mathematics and Natural Science, Hasanuddin University, IndonesiaA stable and controlled process will produce products of good quality following predetermined specifications. A control chart is one of the statistical tools that can be used to measure the stability of a product process in a controlled state. Control charts commonly used to evaluate the statistical control process are Shewhart control charts ( and ). The control chart is used to control the process, as seen from the average and variability of the process. If the data used is not normally distributed or there are outliers, then an alternative control chart, namely the Median Absolute Deviation (MAD), can be used. MAD is used to monitor the process mean and process standard deviation because it has properties that are robust or resistant to deviations. This research aims to form a control chart  based on MAD, apply it to data on fat content in animal feed products, and compare control charts  based on  with the control chart based on  control chart based on MAD. The limitations in this study are the quality characteristics used consist of only one variable and the data is not normally distributed, only limited to the mean process, and the data used in this study are observation data on the fat content contained in animal feed products at PT Japfa Comfeed Indonesia Tbk Makassar Unit from December 2021 to January 2022. The results of this study show that the control chart  based on MAD detects more out-of-control points than the control  based on . The performance of the control chart  based on MAD is better at detecting changes in the process than the control chart   based on  because it has a relatively smaller ARL value.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10692arlmadquality controlcontrol chart x ̅
spellingShingle Mayashari Mayashari
Erna Tri Herdiani
Anisa Anisa
COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH S
Barekeng
arl
mad
quality control
control chart x ̅
title COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH S
title_full COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH S
title_fullStr COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH S
title_full_unstemmed COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH S
title_short COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH S
title_sort comparison of control chart x ̅ based on median absolute deviation with s
topic arl
mad
quality control
control chart x ̅
url https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10692
work_keys_str_mv AT mayasharimayashari comparisonofcontrolchartxbasedonmedianabsolutedeviationwiths
AT ernatriherdiani comparisonofcontrolchartxbasedonmedianabsolutedeviationwiths
AT anisaanisa comparisonofcontrolchartxbasedonmedianabsolutedeviationwiths