Longitudinal Data Regression Analysis Using Semiparametric Modelling
Zhang, Leng and Tang (2015) propose joint parametric modelling of the means, variances, and the correlations by decomposing the correlation matrix via hyperspherical co-ordinates and show that this results unconstrained parameterization, fast computation, easy interpretation of the parameters, and...
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Instituto Nacional de Estatística | Statistics Portugal
2025-08-01
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| Series: | Revstat Statistical Journal |
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| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/580 |
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| author | Abdulla Mamun Sudhir Paul |
| author_facet | Abdulla Mamun Sudhir Paul |
| author_sort | Abdulla Mamun |
| collection | DOAJ |
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Zhang, Leng and Tang (2015) propose joint parametric modelling of the means, variances, and the correlations by decomposing the correlation matrix via hyperspherical co-ordinates and show that this results unconstrained parameterization, fast computation, easy interpretation of the parameters, and model parsimony. With unconstrained structures, they also suggest future research on modelling the mean, the variance, and the correlations non-parametrically and semiparametrically. In this paper we explore semiparametric modelling via simulations and data analysis. Extensive simulations show that the semiparametric modelling produces similar bias and efficiency properties of the parameter estimates as those by the parametric modelling. However, model selection, using the AIC and the BIC, through the analysis of two real biomedical data sets show significant improvement in model parsimony.
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| format | Article |
| id | doaj-art-9b81cb3ff73646c8a48449aeff931d6b |
| institution | Kabale University |
| issn | 1645-6726 2183-0371 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj-art-9b81cb3ff73646c8a48449aeff931d6b2025-08-20T03:37:54ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712025-08-01233Longitudinal Data Regression Analysis Using Semiparametric ModellingAbdulla Mamun0Sudhir Paul 1Gonzaga UniversityUniversity of Windsor Zhang, Leng and Tang (2015) propose joint parametric modelling of the means, variances, and the correlations by decomposing the correlation matrix via hyperspherical co-ordinates and show that this results unconstrained parameterization, fast computation, easy interpretation of the parameters, and model parsimony. With unconstrained structures, they also suggest future research on modelling the mean, the variance, and the correlations non-parametrically and semiparametrically. In this paper we explore semiparametric modelling via simulations and data analysis. Extensive simulations show that the semiparametric modelling produces similar bias and efficiency properties of the parameter estimates as those by the parametric modelling. However, model selection, using the AIC and the BIC, through the analysis of two real biomedical data sets show significant improvement in model parsimony. https://revstat.ine.pt/index.php/REVSTAT/article/view/580B-splinehyperspherical co-ordinatesjoint mean-covariance modelslongitudinal datamodel parsimonypenalized spline |
| spellingShingle | Abdulla Mamun Sudhir Paul Longitudinal Data Regression Analysis Using Semiparametric Modelling Revstat Statistical Journal B-spline hyperspherical co-ordinates joint mean-covariance models longitudinal data model parsimony penalized spline |
| title | Longitudinal Data Regression Analysis Using Semiparametric Modelling |
| title_full | Longitudinal Data Regression Analysis Using Semiparametric Modelling |
| title_fullStr | Longitudinal Data Regression Analysis Using Semiparametric Modelling |
| title_full_unstemmed | Longitudinal Data Regression Analysis Using Semiparametric Modelling |
| title_short | Longitudinal Data Regression Analysis Using Semiparametric Modelling |
| title_sort | longitudinal data regression analysis using semiparametric modelling |
| topic | B-spline hyperspherical co-ordinates joint mean-covariance models longitudinal data model parsimony penalized spline |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/580 |
| work_keys_str_mv | AT abdullamamun longitudinaldataregressionanalysisusingsemiparametricmodelling AT sudhirpaul longitudinaldataregressionanalysisusingsemiparametricmodelling |