phytools (version 0.2-40)

multi.mantel: Multiple matrix regression (partial Mantel test)

Description

This function conducting a multiple matrix regression and uses Mantel (1967) permutations to test the significance of the model and individual coefficients. It also returns the residual and predicted matrices.

Usage

multi.mantel(Y, X, nperm=1000)

Arguments

Y

single "dependent" square matrix. Can be either a symmetric matrix of class "matrix" or a distance matrix of class "dist".

X

a single independent matrix or multiple independent matrices in a list. As with Y can be a object of class "matrix" or class "dist".

nperm

number of Mantel permutations.

Value

• a list with the following components:
• r.squared
  multiple R-squared.
• coefficients
  model coefficients, including intercept.
• tstatistic
  t-statistics for model coefficients.
• fstatistic
  F-statistic for the overall model.
• probt
  vector of probabilities, based on permutations, for tstatistic.
• probF
  probability of F, based on Mantel permutations.
• residuals
  matrix of residuals.
• predicted
  matrix of predicted values.