Selecting significant effects in factorial designs: Lenth's method versus using negligible interactions

Among the many analytical techniques that have been published to analyze the significance of the effects in the absence of replications, two have emerged as the most widely used in text books as well as statistical software packages: The Lenth's method and the estimation of the variance of the...

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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:2018
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:2117/130367
Acceso en línea:https://hdl.handle.net/2117/130367
https://dx.doi.org/10.1080/03610918.2017.1311917
Access Level:acceso abierto
Palabra clave:Mathematical statistics
Statistics--Methodology
Sampling (Statistics)
Effects significance
factorial design
Lenth's method
negligible interactions
statistical software
Estadística matemàtica
Estadística -- Metodologia
Mostreig (Estadística)
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Descripción
Sumario:Among the many analytical techniques that have been published to analyze the significance of the effects in the absence of replications, two have emerged as the most widely used in text books as well as statistical software packages: The Lenth's method and the estimation of the variance of the effects from the values of those considered negligible. This article shows that neither is better than the other in all cases, and by analyzing the results obtained in a wide variety of situations it provides guidelines on when it is preferable to use one or the other technique