lm-utils: Linear Modelling Utility Functions
In MPSEM: Modeling Phylogenetic Signals using Eigenvector Maps

Description Usage Arguments Details Value Functions Author(s) References

Utility functions to build linear models using Phylogenetic Eigenvector Maps among their explanatory variables.

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lmforwardsequentialAICc(y, x, object)

lmforwardsequentialsidak(y, x, object, alpha = 0.05)

`y`	A response variable.
`x`	Descriptors to be used as auxiliary traits.
`object`	A `PEM-class` object.
`alpha`	The threshold above which to stop adding variables.

Function lmforwardsequentialsidak, performs a forward stepwise selection of the PEM eigenvectors until the familywise test of significance of the new variable to be included exceeds the threshold alpha. The familiwise type I error probability is obtained using the Holm-Sidak correction of the testwise probabilities, thereby correcting for type I error rate inflation due to multiple testing. lmforwardsequentialAICc carries out forward stepwise selection of the eigenvectors as long as the candidate model features a lower sample-size-corrected Akaike information criterion than the previous model. The final model should be regarded as overfit from the Neyman-Pearson (i.e. frequentist) point of view, but it is the model that minimizes information loss from the standpoint of information theory.

An lm-class object.

lmforwardsequentialAICc: Forward stepwise variable addition using the sample-size-corrected Akaike Information Criterion.
lmforwardsequentialsidak: Forward stepwise variable addition using a Sidak multiple testing corrected alpha error threshold as the stopping criterion.

Guillaume Guenard, with contribution from Pierre Legendre Maintainer: Guillaume Guenard <guillaume.guenard@gmail.com>

Burnham, K. P. & Anderson, D. R. 2002. Model selection and multimodel inference: a practical information-theoretic approach, 2nd ed. Springer-Verlag. xxvi + 488 pp.

Holm, S. 1979. A simple sequentially rejective multiple test procedure. Scand. J. Statist. 6: 65-70.

Sidak, Z. 1967. Rectangular confidence regions for means of multivariate normal distributions. J. Am. Stat. Ass. 62, 626-633.

MPSEM documentation built on Jan. 14, 2022, 1:07 a.m.