Distance-based regression for non-normal data
Distance-based regression (DBR) is a good alternative method for estimating the unknown parameters in regression modeling when dealing with mixed-type of exploratory variables. The concept of DBR is similar to classical linear regression (LR), but the explanatory variables are measured based on dist...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2019
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| Online Access: | https://repo.uum.edu.my/id/eprint/27052/1/haron2019.pdf |
| _version_ | 1803629237121318912 |
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| author | Haron, Nor Hisham Ahad, Nor Aishah Mahat, Nor Idayu |
| author_facet | Haron, Nor Hisham Ahad, Nor Aishah Mahat, Nor Idayu |
| author_sort | Haron, Nor Hisham |
| collection | UUM |
| description | Distance-based regression (DBR) is a good alternative method for estimating the unknown parameters in regression modeling when dealing with mixed-type of exploratory variables. The concept of DBR is similar to classical linear regression (LR), but the explanatory variables are measured based on distance instead of raw values. This study extends the early study by Cuadras that investigated DBR on normal data, to consider the data that are non-normal. At the same time, we propose a new approach of DBR. The new DBR is focused on the categorical explanatory variables where it investigated the binomial, nominal and ordinal data separately. The investigation was set up in a Monte Carlo study, aiming to compare the performance of DBR over bootstrapping regression (nonparametric) based on R square (R2), mean square error (MSE) and Bayesian information criterion (BIC). The findings indicate that both DBR and new DBR outperformed LR in both numerical exploratory variables and mixed-type of exploratory variables. |
| first_indexed | 2024-07-04T06:34:39Z |
| format | Article |
| id | uum-27052 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:34:39Z |
| publishDate | 2019 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | uum-270522020-06-02T00:56:29Z https://repo.uum.edu.my/id/eprint/27052/ Distance-based regression for non-normal data Haron, Nor Hisham Ahad, Nor Aishah Mahat, Nor Idayu QA75 Electronic computers. Computer science Distance-based regression (DBR) is a good alternative method for estimating the unknown parameters in regression modeling when dealing with mixed-type of exploratory variables. The concept of DBR is similar to classical linear regression (LR), but the explanatory variables are measured based on distance instead of raw values. This study extends the early study by Cuadras that investigated DBR on normal data, to consider the data that are non-normal. At the same time, we propose a new approach of DBR. The new DBR is focused on the categorical explanatory variables where it investigated the binomial, nominal and ordinal data separately. The investigation was set up in a Monte Carlo study, aiming to compare the performance of DBR over bootstrapping regression (nonparametric) based on R square (R2), mean square error (MSE) and Bayesian information criterion (BIC). The findings indicate that both DBR and new DBR outperformed LR in both numerical exploratory variables and mixed-type of exploratory variables. AIP Publishing LLC 2019 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27052/1/haron2019.pdf Haron, Nor Hisham and Ahad, Nor Aishah and Mahat, Nor Idayu (2019) Distance-based regression for non-normal data. AIP Conference Proceedings, 2138. pp. 1-6. ISSN 0094-243X http://doi.org/10.1063/1.5121118 doi:10.1063/1.5121118 doi:10.1063/1.5121118 |
| spellingShingle | QA75 Electronic computers. Computer science Haron, Nor Hisham Ahad, Nor Aishah Mahat, Nor Idayu Distance-based regression for non-normal data |
| title | Distance-based regression for non-normal data |
| title_full | Distance-based regression for non-normal data |
| title_fullStr | Distance-based regression for non-normal data |
| title_full_unstemmed | Distance-based regression for non-normal data |
| title_short | Distance-based regression for non-normal data |
| title_sort | distance based regression for non normal data |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27052/1/haron2019.pdf |
| work_keys_str_mv | AT haronnorhisham distancebasedregressionfornonnormaldata AT ahadnoraishah distancebasedregressionfornonnormaldata AT mahatnoridayu distancebasedregressionfornonnormaldata |