Permutation tests for multi-factorial analysis of variance

By Marti J. Anderson, C. T. ter Braak. 2003

1,046 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/af2432ff17d27e019412091ece6fe066d3240349

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In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

ANOVA–principal component analysis and ANOVA–simultaneous component analysis: a comparison (2011, background): “For a two‐way ANOVA or its multivariate counterpart, one obtains p‐values for the main effects by randomizing the levels belonging to the factor under consideration within the levels of the other factor [10].”
Sex differences in cortical thickness mapped in 176 healthy individuals between 7 and 87 years of age. (2007, methodology): “However, approximate permutation tests, based on permutation of the residuals of these statistical models, have been described and validated (Freedman and Lane 1983; Anderson and Legendre 1999; Anderson and Ter Braak 2003 ).”
Linkage Map Construction and Quantitative Trait Locus Analysis of Agronomic and Fiber Quality Traits in Cotton (2014, methodology): “For each trait, the probability levels for markers to enter and exit the model were calculated by a permutation procedure run 1000 times (Anderson and Braak, 2003).”
Community ecology in the age of multivariate multiscale spatial analysis (2012, background): “Key words: ecological community; multivariate spatial data; ordination; spatial autocorrelation; spatial connectivity; spatial eigenfunction; spatial structure; spatial weight.”
Permutation inference for the general linear model (2014, result): “While a number of authors have made comparisons between some of these methods (Anderson and Legendre, 1999; Anderson and Robinson, 2001; Anderson and ter Braak, 2003; Dekker et al., 2007; Gonzalez and Manly, 1998; Kennedy, 1995; Kennedy and Cade, 1996; Nichols et al., 2008; O'Gorman, 2005; Table 1…”
Sensitivity of MRQAP Tests to Collinearity and Autocorrelation Conditions (2007, methodology): “Overviews and comparisons for vector data are given by Anderson and Legendre (1999) as well as Anderson and Robinson (2001), for analysis of variance (ANOVA) by Anderson and Ter Braak (2003) , and for distance matrices by Legendre (2000).”