Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling

(MLR) is the most common type of linear regression analysis. Current technology advancement and increasing of development of the new or modified methodology building leads to the development of an alternative method for multiple linear regression model calculation. Objectives: In this study, multi...

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Main Authors:	Mohd Ibrahim, Mohamad Shafiq, Wan Ahmad, Wan Muhamad Amir, Hasan, Ruhaya, Harun, Masitah Hayati
Format:	Conference or Workshop Item
Language:	English
Published:	2018
Subjects:	QA Mathematics QA276 Mathematical Statistics
Online Access:	http://irep.iium.edu.my/72217/ http://irep.iium.edu.my/72217/7/72217%20Comparison%20between%20Fuzzy.pdf

id	iium-72217
recordtype	eprints
spelling	iium-722172019-05-17T00:48:16Z http://irep.iium.edu.my/72217/ Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling Mohd Ibrahim, Mohamad Shafiq Wan Ahmad, Wan Muhamad Amir Hasan, Ruhaya Harun, Masitah Hayati QA Mathematics QA276 Mathematical Statistics (MLR) is the most common type of linear regression analysis. Current technology advancement and increasing of development of the new or modified methodology building leads to the development of an alternative method for multiple linear regression model calculation. Objectives: In this study, multiple linear regression model was calculated by using SAS programming language based on computational statistics which considered combination of robust regression, bootstrap, weighted data, Bayesian, and fuzzy regression method. Methodology: Methodology building is based on the SAS algorithm (SAS 9.4 software) which is a robust computational statistic that consists the combination of robust regression, bootstrap, weighted data, Bayesian, and fuzzy regression method. Three different SAS algorithms (i) bootstrap multiple linear regression (BMLR), (ii) bootstrap weighted Bayesian multiple linear regression (BWBMLR), and (iii) fuzzy bootstrap weighted multiple linear regression (FBWMLR) were compared separately according to their average width of prediction. To illustrate the potential of built-in algorithm, a case study which emphasized on tumour was used. The average width of prediction interval results for all models have been computed and compared. The smallest width was indicated as the best fitting model. Results: The result showed that the former MLR model has an average width of 7.4816 and BMLR model has an average width of 3.7098. Meanwhile, the BWBMLR model has an average width of 3.5279 and FBWMLR model has an average width of 0.0058. Conclusion: It is shown that the most efficient method to obtain a relationship between response and explanatory variable is to apply FBWMLR method compared to other methods because of the small average width prediction interval. 2018 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/72217/7/72217%20Comparison%20between%20Fuzzy.pdf Mohd Ibrahim, Mohamad Shafiq and Wan Ahmad, Wan Muhamad Amir and Hasan, Ruhaya and Harun, Masitah Hayati (2018) Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling. In: 2nd Postgraduate Research Day, 22nd February 2018, Kubang Kerian, Kota Bharu, Kelantan. (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics QA276 Mathematical Statistics
spellingShingle	QA Mathematics QA276 Mathematical Statistics Mohd Ibrahim, Mohamad Shafiq Wan Ahmad, Wan Muhamad Amir Hasan, Ruhaya Harun, Masitah Hayati Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling
description	(MLR) is the most common type of linear regression analysis. Current technology advancement and increasing of development of the new or modified methodology building leads to the development of an alternative method for multiple linear regression model calculation. Objectives: In this study, multiple linear regression model was calculated by using SAS programming language based on computational statistics which considered combination of robust regression, bootstrap, weighted data, Bayesian, and fuzzy regression method. Methodology: Methodology building is based on the SAS algorithm (SAS 9.4 software) which is a robust computational statistic that consists the combination of robust regression, bootstrap, weighted data, Bayesian, and fuzzy regression method. Three different SAS algorithms (i) bootstrap multiple linear regression (BMLR), (ii) bootstrap weighted Bayesian multiple linear regression (BWBMLR), and (iii) fuzzy bootstrap weighted multiple linear regression (FBWMLR) were compared separately according to their average width of prediction. To illustrate the potential of built-in algorithm, a case study which emphasized on tumour was used. The average width of prediction interval results for all models have been computed and compared. The smallest width was indicated as the best fitting model. Results: The result showed that the former MLR model has an average width of 7.4816 and BMLR model has an average width of 3.7098. Meanwhile, the BWBMLR model has an average width of 3.5279 and FBWMLR model has an average width of 0.0058. Conclusion: It is shown that the most efficient method to obtain a relationship between response and explanatory variable is to apply FBWMLR method compared to other methods because of the small average width prediction interval.
format	Conference or Workshop Item
author	Mohd Ibrahim, Mohamad Shafiq Wan Ahmad, Wan Muhamad Amir Hasan, Ruhaya Harun, Masitah Hayati
author_facet	Mohd Ibrahim, Mohamad Shafiq Wan Ahmad, Wan Muhamad Amir Hasan, Ruhaya Harun, Masitah Hayati
author_sort	Mohd Ibrahim, Mohamad Shafiq
title	Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling
title_short	Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling
title_full	Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling
title_fullStr	Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling
title_full_unstemmed	Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling
title_sort	comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling
publishDate	2018
url	http://irep.iium.edu.my/72217/ http://irep.iium.edu.my/72217/7/72217%20Comparison%20between%20Fuzzy.pdf
first_indexed	2023-09-18T21:42:22Z
last_indexed	2023-09-18T21:42:22Z
_version_	1777413225487269888

Comparison between fuzzy bootstrap weighted multiple linear regression and multiple linear regression: a case study for oral cancer modelling

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