Why you cannot transform your way out of trouble for small counts

Biometrics

Volumn 74, Issue 1, 2018, Pages 362-368

  Warton, David I ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Community composition; Ecology; Generalized linear models; Multivariate analysis; Variance stabilizing transformation

Indexed keywords

LINEAR TRANSFORMATIONS; METADATA; MULTIVARIANT ANALYSIS;

COMMON STRATEGY; COMMUNITY COMPOSITION; DATUM TRANSFORMATION; GENERALIZED LINEAR MODEL; LINEAR MODELING; MODEL ASSUMPTIONS; MONOTONIC TRANSFORMATION; MULTI VARIATE ANALYSIS; PATHOLOGICAL CASE; VARIANCE STABILIZING TRANSFORMATION;

ECOLOGY;

COMMUNITY COMPOSITION; ECOLOGY; MULTIVARIATE ANALYSIS; NUMERICAL MODEL; SAMPLING; THEORETICAL STUDY; TRANSFORMATION;

ECOLOGY; MULTIVARIATE ANALYSIS; STATISTICAL ANALYSIS; STATISTICAL MODEL;

DATA INTERPRETATION, STATISTICAL; ECOLOGY; LINEAR MODELS; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS;

EID: 85019229996     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/biom.12728     Document Type: Article

References (23)

1. Anderson, M. J. (2001). A new method for non-parametric multivariate analysis of variance. Austral Ecology 26, 32–46.
2. Anderson, M. J. (2006). Distance-based tests for homogeneity of multivariate dispersions. Biometrics 62, 245–253.
3. Bartlett, M. S. (1947). The use of transformations. Biometrics 3, 39–52.
4. Bray, J. R. and Curtis, J. T. (1957). An ordination of the upland forest communities of southern Wisconsin. Ecological Monographs 27, 325–349.
5. Cameron, A. C. and Trivedi, P. K. (2013). Regression Analysis of Count Data. Cambridge: Cambridge University Press.
6. Dunn, P. and Smyth, G. (1996). Randomized quantile residuals. Journal of Computational and Graphical Statistics 5, 236–244.
7. Gijbels, I. and Omelka, M. (2013). Testing for homogeneity of multivariate dispersions using dissimilarity measures. Biometrics 69, 137–145.
8. Hilbe, J. M. (2007). Negative Binomial Regression. Cambridge: Cambridge University Press.
9. Hui, F. K., Warton, D. I., Ormerod, J. T., Haapaniemi, V. and Taskinen, S. (2017). Variational approximations for generalized linear latent variable models. Journal of Computational and Graphical Statistics 26, 35–43.
10. Ives, A. R. (2015). For testing the significance of regression coefficients, go ahead and log-transform count data. Methods in Ecology and Evolution 6, 828–835.
11. Li, J., Ban, J. and Santiago, L. S. (2011). Nonparametric tests for homogeneity of species assemblages: A data depth approach. Biometrics 67, 1481–1488.
12. McCullagh, P. and Nelder, J. A. (1989). Generalized Linear Models. London: Chapman & Hall.
13. Miller, R. G., Jr (1986). Beyond ANOVA, Basics of Applied Statistics. New York: John Wiley & Sons.
14. Oksanen, J., Blanchet, F. G., Kindt, R., Legendre, P., Minchin, P. R., O'Hara, R. B., et al. (2015). vegan: Community Ecology Package. R package version 2.3-2.
15. Ovaskainen, O., Tikhonov, G., Norberg, A., Guillaume Blanchet, F., Duan, L., Dunson, D., et al. (2017). How to make more out of community data? A conceptual framework and its implementation as models and software. Ecology Letters 20, 561–575.
16. Reiss, P. T., Stevens, M. H. H., Shehzad, Z., Petkova, E. and Milham, M. P. (2010). On distance-based permutation tests for between-group comparisons. Biometrics 66, 636–643.
17. Szöcs, E. and Schäfer, R. B. (2015). Ecotoxicology is not normal. Environmental Science and Pollution Research 22, 13990–13999.
18. Væth, M. (1985). On the use of Wald's test in exponential families. International Statistical Review 53, 199–214.
19. Wang, Y., Naumann, U., Wright, S. T. and Warton, D. I. (2012). mvabund—An R package for model-based analysis of multivariate abundance data. Methods in Ecology and Evolution 3, 471–474.
20. Warton, D. I. (2011). Regularized sandwich estimators for analysis of high dimensional data using generalized estimating equations. Biometrics 67, 116–123.
21. Warton, D. I., Blanchet, F. G., O'Hara, R., Ovaskainen, O., Taskinen, S., Walker, S. C., et al. (2015). So many variables: Joint modeling in community ecology. Trends in Ecology and Evolution 30, 766–779.
22. Warton, D. I., Lyons, M., Stoklosa, J. and Ives, A. R. (2016). Three points to consider when choosing a LM or GLM test for count data. Methods in Ecology and Evolution 7, 882–890.
23. Warton, D. I., Wright, S. T. and Wang, Y. (2012). Distance-based multivariate analyses confound location and dispersion effects. Methods in Ecology and Evolution 3, 89–101.