A Bayesian Approach for Joint Modeling of Skew-Normal Longitudinal Measurements and Time to Event Data
Joint modeling of longitudinal measurements and survival time has an important role in analyzing medical data sets. For example, in HIV data sets, a biological marker such as CD4 count measurements is considered as a predictor of survival. Usually, longitudinal responses of these studies are severe...
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| Format: | Article |
| Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2015-06-01
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| Series: | Revstat Statistical Journal |
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| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/170 |
| _version_ | 1817998353220239360 |
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| author | Taban Baghfalaki Mojtaba Ganjali |
| author_facet | Taban Baghfalaki Mojtaba Ganjali |
| author_sort | Taban Baghfalaki |
| collection | DOAJ |
| description |
Joint modeling of longitudinal measurements and survival time has an important role in analyzing medical data sets. For example, in HIV data sets, a biological marker such as CD4 count measurements is considered as a predictor of survival. Usually, longitudinal responses of these studies are severely skew. An ordinary method for reducing the skewness is the use of square root or logarithm transformations of responses. In most of the HIV data sets, because of high rate of missingness, skewness is remained even after using the transformations. Therefore, a general form of distributions for considering skewness in the model should be used. In this paper, we have used multivariate skew-normal distribution to allow a flexible model for considering non-symmetrically of the responses. We have used a skew-normal mixed effect model for longitudinal measurements and a Cox proportional hazard model for time to event variable. These two models share some random effects. A Bayesian approach using Markov chain Monte Carlo is adopted for parameter estimation. Some simulation studies are performed to investigate the performance of the proposed method. Also, the method is illustrated using a real HIV data set. In these data, longitudinal outcomes are skew and death is considered as the event of interest. Different model structures are developed for analyzing this data set, where model selection is performed using some Bayesian criteria.
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| first_indexed | 2024-04-14T02:51:55Z |
| format | Article |
| id | doaj.art-e801b06c1eed4d4dab38ba434ace0d0b |
| institution | Directory Open Access Journal |
| issn | 1645-6726 2183-0371 |
| language | English |
| last_indexed | 2024-04-14T02:51:55Z |
| publishDate | 2015-06-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj.art-e801b06c1eed4d4dab38ba434ace0d0b2022-12-22T02:16:16ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712015-06-0113210.57805/revstat.v13i2.170A Bayesian Approach for Joint Modeling of Skew-Normal Longitudinal Measurements and Time to Event DataTaban Baghfalaki 0Mojtaba Ganjali 1Tardit Modares UniversityShahid Beheshti University Joint modeling of longitudinal measurements and survival time has an important role in analyzing medical data sets. For example, in HIV data sets, a biological marker such as CD4 count measurements is considered as a predictor of survival. Usually, longitudinal responses of these studies are severely skew. An ordinary method for reducing the skewness is the use of square root or logarithm transformations of responses. In most of the HIV data sets, because of high rate of missingness, skewness is remained even after using the transformations. Therefore, a general form of distributions for considering skewness in the model should be used. In this paper, we have used multivariate skew-normal distribution to allow a flexible model for considering non-symmetrically of the responses. We have used a skew-normal mixed effect model for longitudinal measurements and a Cox proportional hazard model for time to event variable. These two models share some random effects. A Bayesian approach using Markov chain Monte Carlo is adopted for parameter estimation. Some simulation studies are performed to investigate the performance of the proposed method. Also, the method is illustrated using a real HIV data set. In these data, longitudinal outcomes are skew and death is considered as the event of interest. Different model structures are developed for analyzing this data set, where model selection is performed using some Bayesian criteria. https://revstat.ine.pt/index.php/REVSTAT/article/view/170Bayesian approachCox proportional modeljoint modelinglongitudinal dataskewnormal distributiontime to event data |
| spellingShingle | Taban Baghfalaki Mojtaba Ganjali A Bayesian Approach for Joint Modeling of Skew-Normal Longitudinal Measurements and Time to Event Data Revstat Statistical Journal Bayesian approach Cox proportional model joint modeling longitudinal data skewnormal distribution time to event data |
| title | A Bayesian Approach for Joint Modeling of Skew-Normal Longitudinal Measurements and Time to Event Data |
| title_full | A Bayesian Approach for Joint Modeling of Skew-Normal Longitudinal Measurements and Time to Event Data |
| title_fullStr | A Bayesian Approach for Joint Modeling of Skew-Normal Longitudinal Measurements and Time to Event Data |
| title_full_unstemmed | A Bayesian Approach for Joint Modeling of Skew-Normal Longitudinal Measurements and Time to Event Data |
| title_short | A Bayesian Approach for Joint Modeling of Skew-Normal Longitudinal Measurements and Time to Event Data |
| title_sort | bayesian approach for joint modeling of skew normal longitudinal measurements and time to event data |
| topic | Bayesian approach Cox proportional model joint modeling longitudinal data skewnormal distribution time to event data |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/170 |
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