Selecting relevant effects in factorial designs

Industrial contexts tend to be as much or more concerned about the probability of ignoring an effect when its influence on the response is relevant (type II error) than about the probability of considering an effect to be active when in fact it is not (type I error). Here, we present a methodology f...

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Detalles Bibliográficos
Autores: Grima Cintas, Pedro|||0000-0003-1470-1230, Rodero de Lamo, Lourdes|||0000-0002-8794-7541, Tort Martorell, Xavier
Tipo de recurso: artículo
Fecha de publicación:2020
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:2117/343666
Acceso en línea:https://hdl.handle.net/2117/343666
https://dx.doi.org/10.1002/qre.2702
Access Level:acceso abierto
Palabra clave:Factorial designs
Significant effects
Type I and Type II errors
Classificació AMS::65 Numerical analysis::65G Error analysis and interval analysis
Classificació AMS::60 Probability theory and stochastic processes
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:Industrial contexts tend to be as much or more concerned about the probability of ignoring an effect when its influence on the response is relevant (type II error) than about the probability of considering an effect to be active when in fact it is not (type I error). Here, we present a methodology for taking into account both types of error by fixing an effect value that is considered large enough to control the probability of it going unnoticed. In addition, we propose a plot to visualize the results obtained.