Comparison of permutation methods for the partial correlation and partial mantel tests

By Pierre Legendre. 2000

301 citations recorded by the source corpus.

Subfields: Food Science, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c70042d728776193f2f6426bf0dcd87c1ea25294

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Citations in the corpus

Representing genetic variation as continuous surfaces: An approach for identifying spatial dependency in landscape genetic studies (2008, methodology): “We achieved this by multiplying distance from the unsuitable habitat by patch value (1 for patch 1 and 1 for patch 2, Fig. 1). Using a modified version of program MODTTEST ( Legendre 2000 ), we calculated a Pearson’s correlation coefficient between the genetic surface and each of the three models of”
How to test the significance of the relation between spatially autocorrelated data at the landscape scale: A case study using fire and forest maps (2002, background): “However, the reader should pay attention to recent publications on the partial Mantel test that investigate its statistical properties (Oden & Sokal, 1992; Legendre, 2000; Raufaste & Rousset, 2001).”
Should the Mantel test be used in spatial analysis? (2015, methodology): “Since that paper, “the procedure, known as the Mantel test in the 50 biological and environmental sciences, includes any analysis relating two distance matrices or, 51 more generally, two resemblance or proximity matrices” (Legendre 2000). 52 In biology, Sokal (1979) was the first to use Mantel test”
Bone microanatomy and lifestyle: A descriptive approach (2011, background): “However, Legendre (Legendre, 2000) showed that correlation tests performed on distance matrices are less powerful than on the original, untransformed variables.”
Sensitivity of MRQAP Tests to Collinearity and Autocorrelation Conditions (2007, methodology): “These results corroborate the conclusions of Legendre (2000) for matrix and those of Legendre and Anderson (1999) and Anderson and Robinson (2001) for i.i.d. (vector) data. Note that in Figures 1 and 2 the results seem to be independent of the level of autocorrelation. A close inspection of our resu”
Vascular epiphyte distribution patterns: explaining the mid‐elevation richness peak (2006, methodology): “Examination of resemblance matrix elements for each variable for skewness and outliers revealed no instances of extreme skewness or outliers (Legendre 2000).”
The ecodist Package for Dissimilarity-based Analysis of Ecological Data (2007, methodology): “For a given sample size, a signiﬁcant Mantel statistic is much lower than would be expected from familiarity with correlation analysis (Legendre 2000; Urban et al. 2002).”
Partial martingale difference correlation (2015, methodology): “[5] Legendre, P. (2000).”
The role of metacommunity processes in shaping invertebrate rock pool communities along a dispersal gradient (2007, methodology): “Null model partial Mantel tests (Legendre 2000) were conducted in order to control a third matrix while investigating the relationship between the two others with the freeware Mantel function mantel.”
GIVING MEANINGFUL INTERPRETATION TO ORDINATION AXES: ASSESSING LOADING SIGNIFICANCE IN PRINCIPAL COMPONENT ANALYSIS (2003, background): “…following one of the three distributions considered [i.e., normal, exponential, and (exponential)3]; given that the variance of deviates from an (exponential)3 distribution is rather different than unity, it was necessary to standardize the columns of the generated matrix afterward (Legendre 2000).”
Partial Distance Correlation with Methods for Dissimilarities (2013, unknown): “The partial correlation test is usually implemented as a t -test (see, e.g., Legendre [13], page 40).”
Spatial patterns of growth in the mussel, Mytilus californianus, across a major oceanographic and biogeographic boundary at Point Conception, California, USA (2007, methodology): “We used a partial regression approach in an attempt to understand the relative contributions of different environmental factors after “partialing out” the spatial components of variation (Thomson et al., 1996; Meot et al., 1998; Legendre, 2000).”
ASSESSING CONGRUENCEAMONG DISTANCE MATRICES: SINGLE‐MALT SCOTCH WHISKIES REVISITED (2004, methodology): “Permute each distance matrix using a ‘matrix permutation’ procedure, as in the Mantel test (Mantel, 1967; Mantel & Valand, 1970; Legendre, 2000).”
Learning Bayesian Networks with the bnlearn R Package (2009, methodology): “Both the asymptotic Student’s t test ( cor ) and the Monte Carlo permutation test ( mc-cor ) described in Legendre (2000) are available.”
Comparison of the Mantel test and alternative approaches for detecting complex multivariate relationships in the spatial analysis of genetic data (2010, methodology): “For regression analysis, this has been shown by a number of authors including Anderson & Legendre (1999); for canonical redundancy analysis, by Legendre et al. (2005); for Mantel tests, by Legendre (2000) and Legendre et al. (2005).”
Environmental and phylogenetic correlates of Eulemur behavior and ecology (Primates: Lemuridae) (2006, methodology): “05; all tests are one-tailed Rain Mean annual rainfall per year, Dry months mean number of months per year that have <50 mm of rain, Altitude mean altitude of study site, Sym primates the number of sympatric primates at the study site, Min temp mean minimum monthly temperature, Max temp mean maximum”
Microanatomy of the radius and lifestyle in amniotes (Vertebrata, Tetrapoda) (2005, background): “Legendre (2000) has shown that these permutation tests between distance matrices are conservative; we could therefore be confident concerning the significance of relationships.”