An approximation of a multivariative stochastic model for the analysis of longitudinal data
We propose to approximate a model for multivariate repeated measures that incorporated random effects, correlated stochastic process and measurements error. The model is generalization for univariate longitudinal data given by Taylor et al. (1994). The stochastic process used in this paper is the mu...
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| Format: | Article |
| Language: | English English |
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European Journals, Inc.
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/7030/ http://psasir.upm.edu.my/id/eprint/7030/1/An%20approximation%20of%20a%20multivariative%20stochastic%20model%20for%20the%20analysis%20of%20longitudinal%20data.pdf |
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| author | Abu Bakar, Mohd Rizam Ali Salah, Khalid |
| author_facet | Abu Bakar, Mohd Rizam Ali Salah, Khalid |
| author_sort | Abu Bakar, Mohd Rizam |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We propose to approximate a model for multivariate repeated measures that incorporated random effects, correlated stochastic process and measurements error. The model is generalization for univariate longitudinal data given by Taylor et al. (1994). The stochastic process used in this paper is the multivariate Integrated Omstein-Uhlenbeck (IOU) process. We consider a Bayesian approach which is motivated by the complexity of the model, thus, we propose to approximate the IOU stochastic process in a simple way that will mitigate the necessity to invert the stochastic process covariance matrix separately for each group at each iteration of the Markov Chain Monte Carlo (MCMC) sampler. The proposed method is illustrated by application to the melanoma data set. |
| first_indexed | 2025-11-15T07:28:03Z |
| format | Article |
| id | upm-7030 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:28:03Z |
| publishDate | 2008 |
| publisher | European Journals, Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-70302015-12-07T06:50:25Z http://psasir.upm.edu.my/id/eprint/7030/ An approximation of a multivariative stochastic model for the analysis of longitudinal data Abu Bakar, Mohd Rizam Ali Salah, Khalid We propose to approximate a model for multivariate repeated measures that incorporated random effects, correlated stochastic process and measurements error. The model is generalization for univariate longitudinal data given by Taylor et al. (1994). The stochastic process used in this paper is the multivariate Integrated Omstein-Uhlenbeck (IOU) process. We consider a Bayesian approach which is motivated by the complexity of the model, thus, we propose to approximate the IOU stochastic process in a simple way that will mitigate the necessity to invert the stochastic process covariance matrix separately for each group at each iteration of the Markov Chain Monte Carlo (MCMC) sampler. The proposed method is illustrated by application to the melanoma data set. European Journals, Inc. 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7030/1/An%20approximation%20of%20a%20multivariative%20stochastic%20model%20for%20the%20analysis%20of%20longitudinal%20data.pdf Abu Bakar, Mohd Rizam and Ali Salah, Khalid (2008) An approximation of a multivariative stochastic model for the analysis of longitudinal data. European Journal of Scientific Research, 20 (1). pp. 76-87. ISSN 1450-216X http://www.eurojournals.com/ English |
| spellingShingle | Abu Bakar, Mohd Rizam Ali Salah, Khalid An approximation of a multivariative stochastic model for the analysis of longitudinal data |
| title | An approximation of a multivariative stochastic model for the analysis of longitudinal data |
| title_full | An approximation of a multivariative stochastic model for the analysis of longitudinal data |
| title_fullStr | An approximation of a multivariative stochastic model for the analysis of longitudinal data |
| title_full_unstemmed | An approximation of a multivariative stochastic model for the analysis of longitudinal data |
| title_short | An approximation of a multivariative stochastic model for the analysis of longitudinal data |
| title_sort | approximation of a multivariative stochastic model for the analysis of longitudinal data |
| url | http://psasir.upm.edu.my/id/eprint/7030/ http://psasir.upm.edu.my/id/eprint/7030/ http://psasir.upm.edu.my/id/eprint/7030/1/An%20approximation%20of%20a%20multivariative%20stochastic%20model%20for%20the%20analysis%20of%20longitudinal%20data.pdf |