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COMPARISON OF AUTOREGRESSIVE MODEL WITH MISSING DATA TREATED USING ORDINARY LEAST SQUARES AND INTERPOLATION WITH WEIGHTING METHOD

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 2 (2022) · pp. 751–760

DOI
10.30598/barekengvol16iss2pp751-760
ISSN
2615-3017, 1978-7227
Published
2022-06-01
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

Bandung is committed to contributing to the achievement of the Sustainable Development Goals (SDGs) in Indonesia. One of the efforts that can be made to support the 13th pillar of SDGS regarding climate change is to forecast the air temperature of Bandung City in the future. One of the models that can be used for forecasting air temperature data in Bandung is the Autoregressive (AR) model. Based on BMKG data, often the time series data obtained has missing data. Therefore, in order to do a good time series analysis, it is necessary to make an effort to correct the missing data. The purpose of this research was to examine the procedure for overcoming missing data in the AR model using the Ordinary Least Squares (OLS) method and Interpolation with Weighting, which was applied to forecasting the average air temperature data in the city of Bandung. The research methodology followed the Box-Jenkins 3-step procedure. The first-order AR estimation parameter model was estimated using the OLS method and then used to overcome missing data using both methods with weighting using R software. Both methods resulted in an estimated value of 0.9991 and the same Mean Average Percentage Error (MAPE) value of 2,459% with very accurate criteria. Therefore, to overcome the missing data on the average air temperature data in the city of Bandung with a parameter estimator close to one, we got the same result for both methods.

Collaboration network of the authors

26 authors · 57 co-authorship links

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  • National Research and Innovation Agency
  • Affiliation unknown
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Show as table
Co-authorOrganisationJoint articles
Atje Setiawan AbdullahAffiliation unknown3
Putri MonikaAffiliation unknown2
Mutik AlawiyahAffiliation unknown2
Salsabila Eka PutriAffiliation unknown2
Sri Adi WidodoAffiliation unknown2
Estiyan DwipriyokoAffiliation unknown2
Devi MunandarNational Research and Innovation Agency1
Christophorus SoetiknoAffiliation unknown1
Riza Andrian IbrahimAffiliation unknown1
Kankan ParmikantiAffiliation unknown1
Shabira A. AuliyazhafiraAffiliation unknown1
Fariza A. PutriAffiliation unknown1
Theresia S. NauliAffiliation unknown1
Aulia R. Al MadaniAffiliation unknown1
I Gede Nyoman Mindra JayaAffiliation unknown1
Annisa N. FalahAffiliation unknown1
Aulia Rahman Al MadaniAffiliation unknown1
Sandrina NajwaAffiliation unknown1
Edi KurniadiAffiliation unknown1
Eka OktaviansyahAffiliation unknown1
Gumgum DarmawanAffiliation unknown1
Ega SahertiAffiliation unknown1
Salwa Azzah ImtiyazAffiliation unknown1

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 5 Nov 2026.
Original metadata (oai_dc)
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	<dc:title xml:lang="en-US">COMPARISON OF AUTOREGRESSIVE MODEL  WITH MISSING DATA TREATED USING ORDINARY LEAST SQUARES AND INTERPOLATION WITH WEIGHTING METHOD</dc:title>
	<dc:creator>Akmaliah, Syifani</dc:creator>
	<dc:creator>Kusuma, Dianne Amor</dc:creator>
	<dc:creator>Ruchjana, Budi Nurani</dc:creator>
	<dc:description xml:lang="en-US">Bandung is committed to contributing to the achievement of the Sustainable Development Goals (SDGs) in Indonesia. One of the efforts that can be made to support the 13th pillar of SDGS regarding climate change is to forecast the air temperature of Bandung City in the future. One of the models that can be used for forecasting air temperature data in Bandung is the Autoregressive (AR) model. Based on BMKG data, often the time series data obtained has missing data. Therefore, in order to do a good time series analysis, it is necessary to make an effort to correct the missing data. The purpose of this research was to examine the procedure for overcoming missing data in the AR model using the Ordinary Least Squares (OLS) method and Interpolation with Weighting, which was applied to forecasting the average air temperature data in the city of Bandung. The research methodology followed the Box-Jenkins 3-step procedure. The first-order AR estimation parameter model was estimated using the OLS method and then used to overcome missing data using both methods with weighting using R software. Both methods resulted in an estimated value of 0.9991 and the same Mean Average Percentage Error (MAPE) value of 2,459% with very accurate criteria. Therefore, to overcome the missing data on the average air temperature data in the city of Bandung with a parameter estimator close to one, we got the same result for both methods.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-06-01</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/5268</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss2pp751-760</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 751-760</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss2year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5268/4491</dc:relation>
</oai_dc:dc>