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

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 18 No. 2 (2024) · pp. 0737–0750

DOI
10.30598/barekengvol18iss2pp0737-0750
ISSN
2615-3017, 1978-7227
Published
2024-05-25
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

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.

Collaboration network of the authors

35 authors · 74 co-authorship links · 1 across different organisations

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  • Hasanuddin University
  • Lampung University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Georgina Maria TinungkiHasanuddin University5
Nasrah SirajangHasanuddin University4
Nurtiti SunusiHasanuddin University3
Saleh AfAffiliation unknown2
Sitti SahrimanHasanuddin University2
Rizki AdiputraHasanuddin University1
Ika FitrianaHasanuddin University1
Ratmila MammiAffiliation unknown1
Aqilah Salsabila RahmanAffiliation unknown1
Riska RasyidHasanuddin University1
Nurhidaya LAffiliation unknown1
Sonya SonyaAffiliation unknown1
Sitti SahrimanAffiliation unknown1
Rael Hofni TandirerungAffiliation unknown1
Nuralyatussa’ AdaAffiliation unknown1
Alimatun NajihaHasanuddin University1
Andi Kresna JayaHasanuddin University1
Fadhila Febriyanti NajamuddinHasanuddin University1
Mustabsyirah MustabsyirahHasanuddin University1
Agung Muhammad TakdirHasanuddin University1
Sri Astuti ThamrinHasanuddin University1
Nuravia NuraviaAffiliation unknown1
Fitriani FitrianiLampung University1
Andi Fitri AyuAffiliation unknown1
Aidawayati RangkutiHasanuddin University1
Andi waru A. PaluseriAffiliation unknown1
Nirwan IlyasAffiliation unknown1
Anisa AnisaHasanuddin University1
Irawaty IrawatyAffiliation unknown1
Suci Barlian SariHasanuddin University1
Puji Puspa SariHasanuddin University1
Samsul ArifinHasanuddin University1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">COMPARISON OF CONTROL CHART X ̅ BASED ON MEDIAN ABSOLUTE DEVIATION WITH S</dc:title>
	<dc:creator>Mayashari, Mayashari</dc:creator>
	<dc:creator>Herdiani, Erna Tri</dc:creator>
	<dc:creator>Anisa, Anisa</dc:creator>
	<dc:description xml:lang="en-US">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 (&amp;nbsp;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 &amp;nbsp;based on MAD, apply it to data on fat content in animal feed products, and compare control charts &amp;nbsp;based on &amp;nbsp;with the control chart based on &amp;nbsp;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 &amp;nbsp;based on MAD detects more out-of-control points than the control &amp;nbsp;based on . The performance of the control chart &amp;nbsp;based on MAD is better at detecting changes in the process than the control chart &amp;nbsp;&amp;nbsp;based on &amp;nbsp;because it has a relatively smaller ARL value.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2024-05-25</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10692</dc:identifier>
	<dc:identifier>10.30598/barekengvol18iss2pp0737-0750</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 18 No 2 (2024): BAREKENG: Journal of Mathematics and Its Application; 0737-0750</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol18iss2year2024</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10692/7845</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2024 Mayashari Mayashari, Erna Tri Herdiani, Anisa Anisa</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>