# multi.mantel: Multiple matrix regression (partial Mantel test) In phytools: Phylogenetic Tools for Comparative Biology (and Other Things)

 multi.mantel R Documentation

## Multiple matrix regression (partial Mantel test)

### Description

This function conducting a multiple matrix regression (partial Mantel test) 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"`, or a list of such objects. `nperm` number of Mantel permutations to be used to compute a P-value of the test.

### Details

Printing the object to screen will result in a summary of the analysis similar to `summary.lm`, but with p-values derived from Mantel permutations.

Methods `residuals` and `fitted` can be used to return residual and fitted matrices, respectively.

### Value

An object of class `"multi.mantel"` consisting of the following elements:

 `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. `nperm` the number of permutations used.

### Author(s)

Liam Revell liam.revell@umb.edu

### References

Mantel, N. (1967) The detection of disease clustering and a generalized regression approach. Cancer Research, 27, 209–220.

Revell, L. J. (2012) phytools: An R package for phylogenetic comparative biology (and other things). Methods Ecol. Evol., 3, 217-223.

phytools documentation built on July 26, 2023, 5:40 p.m.