Optimality Criteria for Models with Random Effects
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Nacional de Colombia
2009
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| _version_ | 1876485372501819392 |
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| author | Tisha Hooks |
| author_facet | Tisha Hooks |
| contents | Optimality Criteria for Models with Random Effects Tisha Hooks David Marx Stephen Kachman Jeffrey Pedersen Física, Astronomía y Matemáticas Mixed model Optimal design Information matrix Nuisance parameter Covariance structure In the context of linear models, an optimality criterion is developed for models that include random effects. Traditional information-based criteria are premised on all model effects being regarded as fixed. When treatments and/or nuisance parameters are assumed to be random effects, an appropriate optimality criterion can be developed under the same conditions. This paper introduces such a criterion, and this criterion also allows for the inclusion of fixed and/or random nuisance parameters in the model and for the presence of a general covariance structure. Also, a general formula is presented for which all previously published optimality criteria are special cases. 2009 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89912230002 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.32 |
| format | Artículo científico |
| id | redalyc_89912230002 |
| institution | Redalyc |
| language | en |
| publishDate | 2009 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Optimality Criteria for Models with Random Effects Tisha Hooks Física, Astronomía y Matemáticas Mixed model Optimal design Information matrix Nuisance parameter Covariance structure Optimality Criteria for Models with Random Effects Tisha Hooks David Marx Stephen Kachman Jeffrey Pedersen Física, Astronomía y Matemáticas Mixed model Optimal design Information matrix Nuisance parameter Covariance structure In the context of linear models, an optimality criterion is developed for models that include random effects. Traditional information-based criteria are premised on all model effects being regarded as fixed. When treatments and/or nuisance parameters are assumed to be random effects, an appropriate optimality criterion can be developed under the same conditions. This paper introduces such a criterion, and this criterion also allows for the inclusion of fixed and/or random nuisance parameters in the model and for the presence of a general covariance structure. Also, a general formula is presented for which all previously published optimality criteria are special cases. 2009 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89912230002 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.32 |
| title | Optimality Criteria for Models with Random Effects |
| topic | Física, Astronomía y Matemáticas Mixed model Optimal design Information matrix Nuisance parameter Covariance structure |
| url | https://www.redalyc.org/articulo.oa?id=89912230002 |