Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model
Dependence between studies in meta-analysis is an assumption which is imposed on the structure of hierarchical Bayesian meta-analytic models. Dependence in meta-analysis can occur as a result of study reports using the same data or from the same authors. In this paper, the hierarchical Bayesian delt...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
ELSEVIER SCI LTD
2020
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/88545 |
| _version_ | 1848765039560884224 |
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| author | Junaidi Nur, Darfiana Hudson, I. Stojanovski, E. |
| author_facet | Junaidi Nur, Darfiana Hudson, I. Stojanovski, E. |
| author_sort | Junaidi |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Dependence between studies in meta-analysis is an assumption which is imposed on the structure of hierarchical Bayesian meta-analytic models. Dependence in meta-analysis can occur as a result of study reports using the same data or from the same authors. In this paper, the hierarchical Bayesian delta-splitting (HBDS) model (Steven and Taylor, 2009), which allows for dependence between studies and sub-studies by introducing dependency at the sampling and hierarchical levels, is developed using Bayesian approaches. Parameter estimation obtained from the joint posterior distributions of all parameters for the HBDS model was conducted using the Metropolis within Gibbs algorithm. The estimation of parameters for simulation studies using R code confirmed the consistency of the model parameters. These parameters were then tested successfully on studies to assess the effects of native-language vocabulary aids on second language reading as a case study. |
| first_indexed | 2025-11-14T11:28:55Z |
| format | Journal Article |
| id | curtin-20.500.11937-88545 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:28:55Z |
| publishDate | 2020 |
| publisher | ELSEVIER SCI LTD |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-885452022-06-13T04:56:57Z Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model Junaidi Nur, Darfiana Hudson, I. Stojanovski, E. Science & Technology Multidisciplinary Sciences Science & Technology - Other Topics Mathematics Computational mathematics Hierarchical Bayesian delta-splitting Dependence meta-analytic Dependence between studies in meta-analysis is an assumption which is imposed on the structure of hierarchical Bayesian meta-analytic models. Dependence in meta-analysis can occur as a result of study reports using the same data or from the same authors. In this paper, the hierarchical Bayesian delta-splitting (HBDS) model (Steven and Taylor, 2009), which allows for dependence between studies and sub-studies by introducing dependency at the sampling and hierarchical levels, is developed using Bayesian approaches. Parameter estimation obtained from the joint posterior distributions of all parameters for the HBDS model was conducted using the Metropolis within Gibbs algorithm. The estimation of parameters for simulation studies using R code confirmed the consistency of the model parameters. These parameters were then tested successfully on studies to assess the effects of native-language vocabulary aids on second language reading as a case study. 2020 Journal Article http://hdl.handle.net/20.500.11937/88545 10.1016/j.heliyon.2020.e04835 English http://creativecommons.org/licenses/by-nc-nd/4.0/ ELSEVIER SCI LTD fulltext |
| spellingShingle | Science & Technology Multidisciplinary Sciences Science & Technology - Other Topics Mathematics Computational mathematics Hierarchical Bayesian delta-splitting Dependence meta-analytic Junaidi Nur, Darfiana Hudson, I. Stojanovski, E. Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model |
| title | Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model |
| title_full | Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model |
| title_fullStr | Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model |
| title_full_unstemmed | Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model |
| title_short | Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model |
| title_sort | bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical bayesian delta-splitting model |
| topic | Science & Technology Multidisciplinary Sciences Science & Technology - Other Topics Mathematics Computational mathematics Hierarchical Bayesian delta-splitting Dependence meta-analytic |
| url | http://hdl.handle.net/20.500.11937/88545 |