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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional de Colombia
2013
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| Online Access: | https://www.redalyc.org/articulo.oa?id=89928087009 |
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| _version_ | 1866587809189462016 |
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| author | Felipe Ortiz |
| author_facet | Felipe Ortiz |
| contents | Response Surface Optimization in Growth Curves Through Multivariate Analysis Felipe Ortiz Juan C. Rivera Oscar O. Melo Física, Astronomía y Matemáticas Growth curves Response surfaces Second order models Multiple optimization A methodology is proposed to jointly model treatments with quantitative levels measured throughout time by combining the response surface and growth curve techniques. The model parameters, which measure the effect throughout time of the factors related to the second-order response surface model, are estimated. These estimates are made through a suitable transformation that allows to express the model as a classic MANOVA model, so the traditional hypotheses are formulated and tested. In addition, the optimality conditions throughout time are established as a set of specific combination factors by the fitted model. As a final step, two applications are analyzed using our proposed model: the first was previously analyzed with growth curves in another paper, and the second involves two factors that are optimized over time. 2013 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89928087009 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.36 |
| format | Artículo científico |
| id | redalyc_89928087009 |
| language | en |
| publishDate | 2013 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Response Surface Optimization in Growth Curves Through Multivariate Analysis Felipe Ortiz Física, Astronomía y Matemáticas Growth curves Response surfaces Second order models Multiple optimization Response Surface Optimization in Growth Curves Through Multivariate Analysis Felipe Ortiz Juan C. Rivera Oscar O. Melo Física, Astronomía y Matemáticas Growth curves Response surfaces Second order models Multiple optimization A methodology is proposed to jointly model treatments with quantitative levels measured throughout time by combining the response surface and growth curve techniques. The model parameters, which measure the effect throughout time of the factors related to the second-order response surface model, are estimated. These estimates are made through a suitable transformation that allows to express the model as a classic MANOVA model, so the traditional hypotheses are formulated and tested. In addition, the optimality conditions throughout time are established as a set of specific combination factors by the fitted model. As a final step, two applications are analyzed using our proposed model: the first was previously analyzed with growth curves in another paper, and the second involves two factors that are optimized over time. 2013 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89928087009 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.36 |
| title | Response Surface Optimization in Growth Curves Through Multivariate Analysis |
| topic | Física, Astronomía y Matemáticas Growth curves Response surfaces Second order models Multiple optimization |
| url | https://www.redalyc.org/articulo.oa?id=89928087009 |