articleMethods in Ecology and EvolutionDec 22, 2010Closed access

Testing the significance of canonical axes in redundancy analysis

PLPierre LegendreJOJari OksanenCJCajo J. F. ter Braak

Université du Québec à Montréal · Université de Montréal · +2 more institutions

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Abstract

Summary 1. Tests of significance of the individual canonical axes in redundancy analysis allow researchers to determine which of the axes represent variation that can be distinguished from random. Variation along the significant axes can be mapped, used to draw biplots or interpreted through subsequent analyses, whilst the nonsignificant axes may be dropped from further consideration. 2. Three methods have been implemented in computer programs to test the significance of the canonical axes; they are compared in this paper. The simultaneous test of all individual canonical axes, which is appealing because of its simplicity, produced incorrect (highly inflated) levels of type I error for the axes following those…

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Topics & keywords

Topics
Keywords
  • Permutation (music)
  • Type I and type II errors
  • Canonical analysis
  • Redundancy (engineering)
  • Mathematics
  • Statistics
  • Resampling
  • Computer science
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