2010
DOI: 10.1016/j.csda.2010.02.015
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An exact permutation method for testing any effect in balanced and unbalanced fixed effect ANOVA

Abstract: The ANOVA method and permutation tests, two heritages of Fisher, have been extensively studied. Several permutation strategies have been proposed by others to obtain a distributionfree test for factors in a fixed effect ANOVA (i.e., single error term ANOVA). The resulting tests are either approximate or exact. However, there exists no universal exact permutation test which can be applied to an arbitrary design to test a desired factor. An exact permutation strategy applicable to fixed effect analysis of varian… Show more

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Cited by 48 publications
(45 citation statements)
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“…The good behavior of the procedure using the F-statistic in the present simulation study contrasts the progressive behavior Kherad-Pajouh and Renaud (2010) found in some cases. However, Kherad-Pajouh and Renaud (2010) used even smaller sample sizes.…”
Section: Discussioncontrasting
confidence: 75%
See 1 more Smart Citation
“…The good behavior of the procedure using the F-statistic in the present simulation study contrasts the progressive behavior Kherad-Pajouh and Renaud (2010) found in some cases. However, Kherad-Pajouh and Renaud (2010) used even smaller sample sizes.…”
Section: Discussioncontrasting
confidence: 75%
“…The first aspect is the units that are actually permuted. Some procedures permute the original data whereas others first calculate residuals and permute these subsequently (see e.g., Anderson and ter Braak 2003;Manly 2007;Kherad-Pajouh and Renaud 2010;Pauly et al 2014). The second aspect is the test statistic: Some authors simply use the mean differences between the levels of factors to be compared or an equivalent test statistic (Basso et al 2009), others recommend the use of an adequate pivotal statistic, like an F-statistic in parametric ANOVA (Anderson and ter Braak 2003) or some kind of studentization (Pauly et al 2014).…”
Section: Introductionmentioning
confidence: 98%
“…First, the permutation test is a suitable for small sample analysis and is distribution free [63], [64], [65], [66]. Second, the permutation test can correct Type 1 error (false positive) [67], [68].…”
Section: Methodsmentioning
confidence: 99%
“…To quantify the contribution of the studied process parameters, ANOVA [46,47] of input variables influence has been performed at each multiscale response of surface quality (i.e. at each scale "i" of the decomposition) using XLSTAT software.…”
Section: Multiscale Contribution Rate Of Process Parameters To the Sumentioning
confidence: 99%