Keunggulan Pendugaan Model Aditif dengan Pendekatan Model Linear Campuran Dibanding dengan Algoritma Backfitting
The additive model is the generalized of multiple linear regression that expresses the mean of a reponse variable as a sum of functional form of predictors. The widely used estimation of additive models described in Hastie and Tibshirani (1990) is backfitting algorithm. However, the algorithm with l...
| Main Author: | |
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| Format: | Article |
| Language: | Indonesian |
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Universitas Islam Bandung
2014-10-01
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| Series: | Statistika |
| Online Access: | http://ejournal.unisba.ac.id/index.php/statistika/article/view/977 |
| _version_ | 1819040734804705280 |
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| author | Anik Djuraidah |
| author_facet | Anik Djuraidah |
| author_sort | Anik Djuraidah |
| collection | DOAJ |
| description | The additive model is the generalized of multiple linear regression that expresses the mean of a
reponse variable as a sum of functional form of predictors. The widely used estimation of additive
models described in Hastie and Tibshirani (1990) is backfitting algorithm. However, the algorithm
with linear smoothers gave some difficulties when it comes to model selection and its inference. The
additive model with P-spline as smooth function admits a mixed model formulation, in which
variance components control the non-linearity degree in the smooth function. This research is
focused in comparing of estimation additive models using backfitting algorithm and linear mixed
model approach. The research results show that estimation of additive models using linear mixed
models offer simplicity in the computation, since use low-rank dimension of P-spline, and in the
model inference, since based on maximum likelihood method. Estimation additive model using linear
mixed model approach can be suggested as an alternative method beside backfitting algorithm |
| first_indexed | 2024-12-21T09:13:49Z |
| format | Article |
| id | doaj.art-23491e826c034dc5a39f61f8e13b46e1 |
| institution | Directory Open Access Journal |
| issn | 1411-5891 |
| language | Indonesian |
| last_indexed | 2024-12-21T09:13:49Z |
| publishDate | 2014-10-01 |
| publisher | Universitas Islam Bandung |
| record_format | Article |
| series | Statistika |
| spelling | doaj.art-23491e826c034dc5a39f61f8e13b46e12022-12-21T19:09:10ZindUniversitas Islam BandungStatistika1411-58912014-10-0181767Keunggulan Pendugaan Model Aditif dengan Pendekatan Model Linear Campuran Dibanding dengan Algoritma BackfittingAnik DjuraidahThe additive model is the generalized of multiple linear regression that expresses the mean of a reponse variable as a sum of functional form of predictors. The widely used estimation of additive models described in Hastie and Tibshirani (1990) is backfitting algorithm. However, the algorithm with linear smoothers gave some difficulties when it comes to model selection and its inference. The additive model with P-spline as smooth function admits a mixed model formulation, in which variance components control the non-linearity degree in the smooth function. This research is focused in comparing of estimation additive models using backfitting algorithm and linear mixed model approach. The research results show that estimation of additive models using linear mixed models offer simplicity in the computation, since use low-rank dimension of P-spline, and in the model inference, since based on maximum likelihood method. Estimation additive model using linear mixed model approach can be suggested as an alternative method beside backfitting algorithmhttp://ejournal.unisba.ac.id/index.php/statistika/article/view/977 |
| spellingShingle | Anik Djuraidah Keunggulan Pendugaan Model Aditif dengan Pendekatan Model Linear Campuran Dibanding dengan Algoritma Backfitting Statistika |
| title | Keunggulan Pendugaan Model Aditif dengan Pendekatan Model Linear Campuran Dibanding dengan Algoritma Backfitting |
| title_full | Keunggulan Pendugaan Model Aditif dengan Pendekatan Model Linear Campuran Dibanding dengan Algoritma Backfitting |
| title_fullStr | Keunggulan Pendugaan Model Aditif dengan Pendekatan Model Linear Campuran Dibanding dengan Algoritma Backfitting |
| title_full_unstemmed | Keunggulan Pendugaan Model Aditif dengan Pendekatan Model Linear Campuran Dibanding dengan Algoritma Backfitting |
| title_short | Keunggulan Pendugaan Model Aditif dengan Pendekatan Model Linear Campuran Dibanding dengan Algoritma Backfitting |
| title_sort | keunggulan pendugaan model aditif dengan pendekatan model linear campuran dibanding dengan algoritma backfitting |
| url | http://ejournal.unisba.ac.id/index.php/statistika/article/view/977 |
| work_keys_str_mv | AT anikdjuraidah keunggulanpendugaanmodeladitifdenganpendekatanmodellinearcampurandibandingdenganalgoritmabackfitting |