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Proposal of a single critical value for the lenth method
Fontdecaba Rigat, Sara; Grima Cintas, Pedro; Tort-Martorell Llabrés, Xavier
Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa; Universitat Politècnica de Catalunya. ADBD - Anàlisi de Dades Complexes per a les Decisions Empresarials
Different critical values deduced by simulation have been proposed that greatly improve Lenth's original proposal. However, these simulations assume that all effects are zero - something not realistic - producing bigger than desired critical values and thus significance levels lower that intended. This article, in accordance with Box [2] well known idea that Experimental Design should be about learning and not about testing and based on studying how the presence of a realistic number and size of active effects affects critical values, proposes to use t = 2 for any number of runs equal or greater than 8. And it shows that this solution, in addition of being simpler, provides under reasonable realistic situations better results than those obtained by simulation.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Industrial experimentation
Lenth method
Pseudo standard error
Significant effects
Unreplicated factorial designs
Investigació operativa
Enginyeria -- Disseny
Operations research.
Engineering design
Attribution-NonCommercial-NoDerivs 3.0 Spain

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