Description Usage Arguments Details Value Author(s) References

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.

1 | ```
multi.mantel(Y, X, nperm=1000)
``` |

`Y` |
single "dependent" square matrix. Can be either a symmetric matrix of class |

`X` |
a single independent matrix or multiple independent matrices in a list. As with |

`nperm` |
number of Mantel permutations to be used to compute a P-value of the test. |

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.

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 |

`probF` |
probability of F, based on Mantel permutations. |

`residuals` |
matrix of residuals. |

`predicted` |
matrix of predicted values. |

`nperm` |
tne number of permutations used. |

Liam Revell liam.revell@umb.edu

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.

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