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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Bibliographic Details
Published inCommunications in statistics. Simulation and computation Vol. 47; no. 5; pp. 1343 - 1352
Main Authors Xampeny, Rafel, Grima, Pere, Tort-Martorell, Xavier
Format Journal Article Publication
LanguageEnglish
Published Philadelphia Taylor & Francis 28.05.2018
Taylor & Francis Ltd
Subjects
Effects significance
Estadística
Estadística matemàtica
factorial design
Lenth's method
Matemàtiques i estadística
Mathematical statistics
Methodology
Metodologia
Mostreig (Estadística)
negligible interactions
Sampling (Statistics)
Software packages
statistical software
Statistics
Àrees temàtiques de la UPC
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Summary: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.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2017.1311917