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5. References


Anderson, M.J. (2001a) A new method for non-parametric multivariate analysis of variance. Austral Ecology, 26, 32-46.

Anderson, M.J. (2001b) Permutation tests for univariate or multivariate analysis of variance and regression. Canadian Journal of Fisheries and Aquatic Sciences, 58, 626-639.

Anderson, M.J. (2017) Permutational multivariate analysis of variance (PERMANOVA). Wiley StatsRef: Statistics Reference Online, stat07941, 1-15.

Anderson, M.J., Connell, S.D., Gillanders, B.M., Diebel, C.E., Blom, W.M., Saunders, J.E. & Landers, T.J. (2005a) Relationships between taxonomic resolution and spatial scales of multivariate variation. Journal of Animal Ecology, 74, 636-646.

Anderson, M.J., Diebel, C.E., Blom, W.M. & Landers, T.J. (2005b) Consistency and variation in kelp holdfast assemblages: spatial patterns of biodiversity for the major phyla at different taxonomic resolutions. Journal of Experimental Marine Biology and Ecology, 320, 35-56.

Anderson, M.J. & Legendre, P. (1999) An empirical comparison of permutation methods for tests of partial regression coefficients in a linear model. Journal of Statistical Computation and Simulation, 62, 271-303.

Anderson, M.J. & ter Braak, C.J.F. (2003) Permutation tests for multi-factorial analysis of variance. Journal of Statistical Computation and Simulation, 75, 85-113.

Cornfield, J. & Tukey, J. (1956) Average values of mean squares in factorials. The Annals of Mathematical Statistics, 27, 907-949.

Hartley, H.O. (1967) Expectations, variances and covariances of ANOVA mean squares by 'synthesis'. Biometrics, 23, 105-114.

Hartley, H.O., Rao, J.N.K. & Lamotte, L.R. (1978) A simple 'synthesis'-based method of variance component estimation. Biometrics, 34, 233-242.

Ihaka, R. & Gentleman, R. (1996) R: A language for data analysis and graphics. Journal of Computational and Graphical Statistics, 5, 299–314.

Legendre, P. & Anderson, M.J. (1999) Distance-based redundancy analysis: testing multispecies responses in multifactorial ecological experiments. Ecological Monographs, 69, 1-24.

McArdle, B.H. & Anderson, M.J. (2001) Fitting multivariate models to community data: a comment on distance-based redundancy analysis. Ecology, 82, 290-297.

Oksanen, J., Simpson, G., Blanchet, F., Kindt, R., Legendre, P., Minchin, P., O'Hara, R., Solymos, P., Stevens, M., Szoecs, E., Wagner, H., Barbour, M., Bedward, M., Bolker, B., Borcard, D., Carvalho, G., Chirico, M., De Caceres, M., Durand, S., Evangelista, H., FitzJohn, R., Friendly, M., Furneaux, B., Hannigan, G., Hill, M., Lahti, L., McGlinn, D., Ouellette, M., Ribeiro Cunha, E., Smith, T., Stier, A., ter Braak, C. & Weedon, J. (2024) vegan: Community Ecology Package. R package version 2.6-4. https://CRAN.R-project.org/package=vegan.

R Core Team (2022) R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. https://www.R-project.org/.

Rao, J.N.K. (1968) On expectations, variances, and covariances of ANOVA mean squares by 'synthesis'. Biometrics, 24, 963-978.

Searle, S.R. (1971) Topics in variance component estimation. Biometrics, 27, 1-76.

Searle, S.R., Casella, G. & McCulloch, C.E. (1992) Variance components. John Wiley & Sons, New York, NY, USA.