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Selecting relevant effects in factorial designs
Author(s) -
Grima Pere,
Rodero Lourdes,
TortMartorell Xavier
Publication year - 2020
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2702
Subject(s) - type i and type ii errors , factorial experiment , value (mathematics) , statistics , factorial , probability of error , computer science , design of experiments , statistical power , mathematics , plot (graphics) , econometrics , algorithm , mathematical analysis
Abstract 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.