Consequences of using estimated response values from negligible interactions in factorial designs

dc.contributor
Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa
dc.contributor
Universitat Politècnica de Catalunya. ADBD - Anàlisi de Dades Complexes per a les Decisions Empresarials
dc.contributor.author
Xampeny Solaní, Rafael
dc.contributor.author
Grima Cintas, Pedro
dc.contributor.author
Tort-Martorell Llabrés, Xavier
dc.date.issued
2019-06-02
dc.identifier
Xampeny, R., Grima, P., Tort-Martorell, J. Consequences of using estimated response values from negligible interactions in factorial designs. "Quality and reliability engineering international", 02 Juny 2019, vol. 35, núm. 4, p.934-945
dc.identifier
0748-8017
dc.identifier
https://hdl.handle.net/2117/127438
dc.identifier
10.1002/qre.2437
dc.description.abstract
This article analyzes the increase in the probability of committing type I and type II errors in assessing the significance of the effects when some properly selected runs have not been carried out and their responses have been estimated from the interactions considered null from scratch. This is done by simulating the responses from known models that represent a wide variety of practical situations that the experimenter will encounter; the responses considered to be missing are then estimated and the significance of the effects is assessed. Through comparison with the parameters of the model, the errors are then identified. To assess the significance of the effects when there are missing values, the Box-Meyer method has been used. The conclusions are that 1 missing value in 8 run designs and up to 3 missing values in 16 run designs experiments can be estimated without hardly any notable increase in the probability of error when assessing the significance of the effects.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author's final draft)
dc.format
application/pdf
dc.language
eng
dc.relation
https://onlinelibrary.wiley.com/journal/10991638
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Open Access
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
dc.subject
Missing observations (Statistics)
dc.subject
Factorial design
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Missing values
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Negligible interactions
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Lenth method
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Significant effects.
dc.subject
Dades no observades (Estadística)
dc.title
Consequences of using estimated response values from negligible interactions in factorial designs
dc.type
Article


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