The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data

In this study, three types of Bayesian coincident-index models were designed based on modification from the so-called Stock-Watson (S-W) index, i.e. the established economic coincident-index. The S-W index approach is commonly used to estimate parameters using sufficient time series data in composit...

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Main Authors: Mohd Ali, Zalina, Ibrahim, Noor Akma, Mengersen, Kerrie, Shitan, Mahendran, Juahir, Hafizan
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2012
Online Access:http://psasir.upm.edu.my/id/eprint/57320/
http://psasir.upm.edu.my/id/eprint/57320/1/The%20selection%20of%20the%20Bayesian%20coincident-index%20models%20using%20model%20comparison%20criterion%20with%20application%20in%20Langat%20river%20water%20quality%20data.pdf
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author Mohd Ali, Zalina
Ibrahim, Noor Akma
Mengersen, Kerrie
Shitan, Mahendran
Juahir, Hafizan
author_facet Mohd Ali, Zalina
Ibrahim, Noor Akma
Mengersen, Kerrie
Shitan, Mahendran
Juahir, Hafizan
author_sort Mohd Ali, Zalina
building UPM Institutional Repository
collection Online Access
description In this study, three types of Bayesian coincident-index models were designed based on modification from the so-called Stock-Watson (S-W) index, i.e. the established economic coincident-index. The S-W index approach is commonly used to estimate parameters using sufficient time series data in composite index. However, the S-W approach in small time series data sets, irregular observations and unbalanced data across time is not well-studied. Essentially, all the problem situations are easily handled under the proposed class of Bayesian models. Therefore, we were motivated to design a new Bayesian S-W coincident-index with application in river water quality index. The river water quality data has been chosen due to the availability of small, unbalanced data sets and irregular observations at particular time in selected sampling sites. We tested all the new algorithms which are based on the three coincident-index model i.e. model with no lag, model with first order lag in the water quality variables and model with a lag for unobserved water quality index. We used Bayesian model comparison criterion to choose the best coincident-index model. Deviance Information Criteria (DIC) was performed as a criterion for selecting models since its application to a variety of data-diagnostic models was not well-discussed. Sensitivity model analyses for all models were also reported. The results showed that the model with σ prior 2 was the most appropriate for the Langat river water quality data in the selected sampling sites. The results also showed that that the third model with σ prior 2 for all sampling sites was the most adequate.
first_indexed 2025-11-15T10:52:17Z
format Conference or Workshop Item
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institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T10:52:17Z
publishDate 2012
publisher AIP Publishing LLC
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spelling upm-573202017-09-26T04:04:46Z http://psasir.upm.edu.my/id/eprint/57320/ The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data Mohd Ali, Zalina Ibrahim, Noor Akma Mengersen, Kerrie Shitan, Mahendran Juahir, Hafizan In this study, three types of Bayesian coincident-index models were designed based on modification from the so-called Stock-Watson (S-W) index, i.e. the established economic coincident-index. The S-W index approach is commonly used to estimate parameters using sufficient time series data in composite index. However, the S-W approach in small time series data sets, irregular observations and unbalanced data across time is not well-studied. Essentially, all the problem situations are easily handled under the proposed class of Bayesian models. Therefore, we were motivated to design a new Bayesian S-W coincident-index with application in river water quality index. The river water quality data has been chosen due to the availability of small, unbalanced data sets and irregular observations at particular time in selected sampling sites. We tested all the new algorithms which are based on the three coincident-index model i.e. model with no lag, model with first order lag in the water quality variables and model with a lag for unobserved water quality index. We used Bayesian model comparison criterion to choose the best coincident-index model. Deviance Information Criteria (DIC) was performed as a criterion for selecting models since its application to a variety of data-diagnostic models was not well-discussed. Sensitivity model analyses for all models were also reported. The results showed that the model with σ prior 2 was the most appropriate for the Langat river water quality data in the selected sampling sites. The results also showed that that the third model with σ prior 2 for all sampling sites was the most adequate. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57320/1/The%20selection%20of%20the%20Bayesian%20coincident-index%20models%20using%20model%20comparison%20criterion%20with%20application%20in%20Langat%20river%20water%20quality%20data.pdf Mohd Ali, Zalina and Ibrahim, Noor Akma and Mengersen, Kerrie and Shitan, Mahendran and Juahir, Hafizan (2012) The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 1283-1292). 10.1063/1.4801278
spellingShingle Mohd Ali, Zalina
Ibrahim, Noor Akma
Mengersen, Kerrie
Shitan, Mahendran
Juahir, Hafizan
The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data
title The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data
title_full The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data
title_fullStr The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data
title_full_unstemmed The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data
title_short The selection of the Bayesian coincident-index models using model comparison criterion with application in Langat river water quality data
title_sort selection of the bayesian coincident-index models using model comparison criterion with application in langat river water quality data
url http://psasir.upm.edu.my/id/eprint/57320/
http://psasir.upm.edu.my/id/eprint/57320/
http://psasir.upm.edu.my/id/eprint/57320/1/The%20selection%20of%20the%20Bayesian%20coincident-index%20models%20using%20model%20comparison%20criterion%20with%20application%20in%20Langat%20river%20water%20quality%20data.pdf