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http://hdl.handle.net/20.500.12207/6290
Title: | Addressing the algebraic structure of a linear mixed model with balanced design towards model extension |
Authors: | Santos, Carla Dias, Cristina Brites, Nuno M. Nunes, Célia Mexia, João Tiago |
Keywords: | Algebraic structure Balanced mixed model Best linear unbiased estimators COBS |
Issue Date: | 2024 |
Publisher: | WILEY |
Citation: | Santos, C., Dias, C., Brites, N. M., Nunes, C., & Mexia, J. M. (2024). Addressing the algebraic structure of a linear mixed model with balanced design towards model extension. Mathematical Methods in the Applied Sciences. Advance online publication. https://doi.org/10.1002/mma.9906 |
Abstract: | Linear mixed models provide a general and versatile approach for analyzing data collected in experiments, suitable for modeling repeated, longitudinal, or clustered observations. Important results for estimation can be obtained when subclasses of these mixed models are considered, based on some characteristics of their algebraic structure. The class of the models with commutative orthogonal block structure, for which least squares estimators are the best linear unbiased estimators, is of great interest. In an approach based on the algebraic structure of the models, and availing ourselves of U matrices, we study the possibility of extending a balanced mixed model, which could lead to a model with commutative orthogonal block structure. |
Peer reviewed: | yes |
URI: | http://hdl.handle.net/20.500.12207/6290 |
metadata.dc.identifier.doi: | https://doi.org/110.1002/mma.9906 https://doi.org/110.1002/mma.9906 |
Publisher version: | https://onlinelibrary.wiley.com/doi/10.1002/mma.9906 |
Appears in Collections: | D-MCF - Artigos em revistas indexadas à WoS/Scopus |
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