@article{
 title = {Improved testing of species traits-environment relationships in the fourth corner problem},
 type = {article},
 year = {2012},
 pages = {1525-1526},
 volume = {93},
 id = {614e292d-83e2-39ee-b216-1ec8be954c5a},
 created = {2012-02-29T11:54:07.000Z},
 file_attached = {true},
 profile_id = {976aa121-3316-304c-8340-7ca54d70abe6},
 last_modified = {2017-03-16T14:38:37.564Z},
 read = {true},
 starred = {false},
 authored = {true},
 confirmed = {true},
 hidden = {false},
 citation_key = {TerBraak2012},
 private_publication = {false},
 abstract = {The fourth-corner problem entails estimation and statistical testing of the relationship between species traits and environmental variables from the analysis of three data tables. In a 2008 paper, S. Dray and P. Legendre proposed and evaluated five permutation methods for statistical significance testing, including a new two-step testing procedure. However, none of these attained the correct type I error in all cases of interest. We solve this problem by showing that a small modification of their two-step procedure controls the type I error in all cases. The modification consists of adjusting the significance level from sqrt(alpha) to alpha or, equivalently, of reporting the maximum of the individual P values as the final one. The test is also applicable to the three-table ordination method RLQ.},
 bibtype = {article},
 author = {ter Braak, C.J.F. and Cormont, A. and Dray, Stéphane},
 journal = {Ecology}
}

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