Optimal sample plans for multiresponse and multisubject experiments

[EN] In designed experiments quite often several variables are observed, which complicates the covariance structure of the data, especially when the objective is to observe the evolution of different characteristics along the time. Initial studies have been made assuming that the samples were taken...

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Detalles Bibliográficos
Autor: Rodríguez Díaz, Juan Manuel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/159543
Acceso en línea:http://hdl.handle.net/10366/159543
Access Level:acceso abierto
Palabra clave:Multiresponse model
Multisubject experiment
Optimal design
Two-way covariance
Time-depending experiments
1209 Estadística
Descripción
Sumario:[EN] In designed experiments quite often several variables are observed, which complicates the covariance structure of the data, especially when the objective is to observe the evolution of different characteristics along the time. Initial studies have been made assuming that the samples were taken on the same experimental unit, and thus some characteristics were assumed to keep constant for all the process. In the present work, a multisubject experiment is considered, which allows a variety of modifications of the previous paradigm: from considering different characteristics in the individuals, to equal or distinct models for the responses in each subject and the possibility to use several evolution models. Analytical results have been obtained, and an example were different bacteria are observed along the time has been analyzed and discussed.