GEE-smoothing spline for semiparametric estimation of longitudinal binary data
This paper considers analyzing longitudinal data semiparametrically and proposing GEE-Smoothing spline in the estimation of the parametric and nonparametric components. Generalized estimating equation is used as the core of the estimation. Estimation of association or within subject correlation used...
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| Format: | Article |
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Centre for Environment, Social and Economic Research Publications
2010
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| _version_ | 1796968729080233984 |
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| author | Suliadi, Ibrahim, Noor Akma Daud, Isa Krishnarajah, Isthrinayagy S. |
| author_facet | Suliadi, Ibrahim, Noor Akma Daud, Isa Krishnarajah, Isthrinayagy S. |
| author_sort | Suliadi, |
| collection | UPM |
| description | This paper considers analyzing longitudinal data semiparametrically and proposing GEE-Smoothing spline in the estimation of the parametric and nonparametric components. Generalized estimating equation is used as the core of the estimation. Estimation of association or within subject correlation used method of moment suggested by Liang and Zeger (1986). In the estimation of nonparametric component, we used smoothing spline approach specifically the natural cubic spline. We show through simulation that GEE-Smoothing Spline has good properties. The bias of parametric and nonparametric estimators decrease with increasing sample size. These estimators are also consistent even though incorrect correlation structure is used. The most efficient estimator can be obtained if the correct correlation structure is used rather than ignore the dependency. |
| first_indexed | 2024-03-06T07:32:37Z |
| format | Article |
| id | upm.eprints-14854 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T07:32:37Z |
| publishDate | 2010 |
| publisher | Centre for Environment, Social and Economic Research Publications |
| record_format | dspace |
| spelling | upm.eprints-148542015-07-31T06:49:40Z http://psasir.upm.edu.my/id/eprint/14854/ GEE-smoothing spline for semiparametric estimation of longitudinal binary data Suliadi, Ibrahim, Noor Akma Daud, Isa Krishnarajah, Isthrinayagy S. This paper considers analyzing longitudinal data semiparametrically and proposing GEE-Smoothing spline in the estimation of the parametric and nonparametric components. Generalized estimating equation is used as the core of the estimation. Estimation of association or within subject correlation used method of moment suggested by Liang and Zeger (1986). In the estimation of nonparametric component, we used smoothing spline approach specifically the natural cubic spline. We show through simulation that GEE-Smoothing Spline has good properties. The bias of parametric and nonparametric estimators decrease with increasing sample size. These estimators are also consistent even though incorrect correlation structure is used. The most efficient estimator can be obtained if the correct correlation structure is used rather than ignore the dependency. Centre for Environment, Social and Economic Research Publications 2010 Article PeerReviewed Suliadi, and Ibrahim, Noor Akma and Daud, Isa and Krishnarajah, Isthrinayagy S. (2010) GEE-smoothing spline for semiparametric estimation of longitudinal binary data. International Journal of Applied Mathematics and Statistics, 18 (S10). pp. 82-95. ISSN 0973-1377; ESSN: 0973-7545 http://www.ceser.in/ceserp/index.php/ijamas/article/view/573 |
| spellingShingle | Suliadi, Ibrahim, Noor Akma Daud, Isa Krishnarajah, Isthrinayagy S. GEE-smoothing spline for semiparametric estimation of longitudinal binary data |
| title | GEE-smoothing spline for semiparametric estimation of longitudinal binary data |
| title_full | GEE-smoothing spline for semiparametric estimation of longitudinal binary data |
| title_fullStr | GEE-smoothing spline for semiparametric estimation of longitudinal binary data |
| title_full_unstemmed | GEE-smoothing spline for semiparametric estimation of longitudinal binary data |
| title_short | GEE-smoothing spline for semiparametric estimation of longitudinal binary data |
| title_sort | gee smoothing spline for semiparametric estimation of longitudinal binary data |
| work_keys_str_mv | AT suliadi geesmoothingsplineforsemiparametricestimationoflongitudinalbinarydata AT ibrahimnoorakma geesmoothingsplineforsemiparametricestimationoflongitudinalbinarydata AT daudisa geesmoothingsplineforsemiparametricestimationoflongitudinalbinarydata AT krishnarajahisthrinayagys geesmoothingsplineforsemiparametricestimationoflongitudinalbinarydata |