Selecting significant effects in factorial designs: Lenth’s method versus the Box-Meyer approach

The Lenth method is conceptually simple and probably the most common approach to analyzing the significance of the effects in factorial designs. Here, we compare it with a Bayesian approach proposed by Box and Meyer and which does not appear in the usual software packages. The comparison is made by...

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Detalles Bibliográficos
Autores: Xampeny Solaní, Rafael, Grima Cintas, Pedro|||0000-0003-1470-1230, Tort-Martorell Llabrés, Xavier|||0000-0003-1167-6703
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/126950
Acceso en línea:https://hdl.handle.net/2117/126950
https://dx.doi.org/10.1080/02664763.2018.1548584
Access Level:acceso abierto
Palabra clave:Mathematical statistics
Box-Meyer method
Factorial designfour-run experiments
Lenth method
significant effects
Estadística matemàtica
Estadística -- Metodologia
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Descripción
Sumario:The Lenth method is conceptually simple and probably the most common approach to analyzing the significance of the effects in factorial designs. Here, we compare it with a Bayesian approach proposed by Box and Meyer and which does not appear in the usual software packages. The comparison is made by simulating the results of 4, 8 and 16 run designs in a set of scenarios that mirror practical situations and analyzing the results provided by both methods. Although the results depend on the number of runs and the scenario considered, the use of the Box and Meyer method generally produces better results. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.