Permutational Multivariate Analysis of Variance (PERMANOVA)

[1]  Marti J. Anderson,et al.  Consistency and variation in kelp holdfast assemblages: Spatial patterns of biodiversity for the major phyla at different taxonomic resolutions , 2005 .

[2]  Marti J. Anderson,et al.  Distance‐Based Tests for Homogeneity of Multivariate Dispersions , 2006, Biometrics.

[3]  H. Hartley.  Expectations, variances and covariances of anova mean squares by 'synthesis'. , 1967, Biometrics.

[4]  John W. Sammon,et al.  A Nonlinear Mapping for Data Structure Analysis , 1969, IEEE Transactions on Computers.

[5]  Marti J. Anderson,et al.  Permutation Tests for Linear Models , 2001 .

[6]  Marti J. Anderson,et al.  Permutation tests for univariate or multivariate analysis of variance and regression , 2001 .

[7]  Marti J. Anderson,et al.  Quantitative measures of sedimentation in an estuarine system and its relationship with intertidal soft-sediment infauna , 2004 .

[8]  Marti J. Anderson,et al.  Permutation tests for multi-factorial analysis of variance , 2003 .

[9]  Marti J. Anderson,et al.  Generalized discriminant analysis based on distances , 2003 .

[10]  Brian H. McArdle,et al.  FITTING MULTIVARIATE MODELS TO COMMUNITY DATA: A COMMENT ON DISTANCE‐BASED REDUNDANCY ANALYSIS , 2001 .

[11]  K. R. Clarke,et al.  Non‐parametric multivariate analyses of changes in community structure , 1993 .

[12]  D. Fletcher,et al.  How to cope with negative estimates of components of variance in ecological field studies , 2002 .

[13]  Marti J. Anderson,et al.  PERMANOVA, ANOSIM, and the Mantel test in the face of heterogeneous dispersions: What null hypothesis are you testing? , 2013 .

[14]  Marti J. Anderson,et al.  Multivariate dispersion as a measure of beta diversity. , 2006, Ecology letters.

[15]  J. Gower,et al.  Metric and Euclidean properties of dissimilarity coefficients , 1986 .

[16]  Morton B. Brown,et al.  The Small Sample Behavior of Some Statistics Which Test the Equality of Several Means , 1974 .

[17]  Marti J. Anderson,et al.  Some solutions to the multivariate Behrens–Fisher problem for dissimilarity‐based analyses , 2017 .

[18]  Marti J. Anderson,et al.  Scales of spatial variation in Mediterranean subtidal sessile assemblages at different depths , 2007 .

[19]  K. R. Clarke,et al.  On resemblance measures for ecological studies, including taxonomic dissimilarities and a zero-adjusted Bray–Curtis coefficient for denuded assemblages , 2006 .

[20]  Pierre Legendre,et al.  DISTANCE‐BASED REDUNDANCY ANALYSIS: TESTING MULTISPECIES RESPONSES IN MULTIFACTORIAL ECOLOGICAL EXPERIMENTS , 1999 .

[21]  László Orlóci,et al.  On randomization testing in vegetation science: multifactor comparisons of relevé groups , 1996 .

[22]  J. Rao.  On Expectations, Variances, and Covariances of ANOVA Mean Squares by 'Synthesis' , 1968 .

[23]  Pierre Legendre,et al.  An empirical comparison of permutation methods for tests of partial regression coefficients in a linear model , 1999 .

[24]  Marti J. Anderson,et al.  Measures of precision for dissimilarity-based multivariate analysis of ecological communities , 2014, Ecology letters.

[25]  Marti J. Anderson,et al.  Spatial variation and effects of habitat on temperate reef fish assemblages in northeastern New Zealand , 2004 .

[26]  C. Braak,et al.  An experimental manipulation of oligochaete communities in mesocosms treated with chlorpyrifos or nutrient additions: multivariate analyses with Monte Carlo permutation tests , 1994, Hydrobiologia.

[27]  J. Gower.  Some distance properties of latent root and vector methods used in multivariate analysis , 1966 .

[28]  J. Tukey,et al.  AVERAGE VALUES OF MEAN SQUARES IN FACTORIALS , 1956 .

[29]  O. Kempthorne.  Some Aspects of Experimental Inference , 1966 .

[30]  Jonathan M. Chase,et al.  Navigating the multiple meanings of β diversity: a roadmap for the practicing ecologist. , 2011, Ecology letters.