Comparison of tests on covariance structures of normal populations

In some studies, there is interest in testing the variance structure, as in the context of multivariate or modelling techniques. Therefore, the importance of using hypothesis tests on covariance structures is emphasized. The purpose of this study was to perform a detailed performance study regarding...

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Detalles Bibliográficos
Autores: Campos, Isabella Marianne Costa, Nogueira, Denismar Alves, Ferreira, Eric Batista, Butturi-Gomes, Davi
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Brasil
Institución:Universidade Estadual de Maringá (UEM)
Repositorio:Acta scientiarum. Technology (Online)
Idioma:inglés
OAI Identifier:oai:periodicos.uem.br/ojs:article/44456
Acceso en línea:http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/44456
Access Level:acceso abierto
Palabra clave:Power
Type I Error rate
Likelihood Ratio
Monte Carlo Simulation
power; type i error rate; likelihood ratio; monte carlo simulation.
Descripción
Sumario:In some studies, there is interest in testing the variance structure, as in the context of multivariate or modelling techniques. Therefore, the importance of using hypothesis tests on covariance structures is emphasized. The purpose of this study was to perform a detailed performance study regarding the power and type I error rate of some existing identity and sphericity tests, considering the scenarios with different numbers of variables (2 to 64) and sample sizes (5 to 100). The proposal of Ledoit and Wolf (2002) is the most appropriate to test the identity structure. For the sphericity test, the version of John (1972), modified by Ledoit and Wolf (2002), followed by the proposal of Box (1949), were the ones with the best performance.