10.5061/DRYAD.R76CM3BN
Hansen, Thomas F.
University of Oslo
Bartoszek, Krzysztof
Chalmers University of Technology
University of Gothenburg
Data from: Interpreting the evolutionary regression: the interplay between
observational and biological errors in phylogenetic comparative studies
Dryad
dataset
2011
Reduced major-axis regression
Major-axis regression
phylogenetic comparative methods
Structural equation
Phylogenetic inertia
Measurement error
2011-10-14T19:49:59Z
en
https://doi.org/10.1093/sysbio/syr122
130433 bytes
1
CC0 1.0 Universal (CC0 1.0) Public Domain Dedication
Regressions of biological variables across species are rarely perfect.
Usually there are residual deviations from the estimated model
relationship, and such deviations commonly show a pattern of phylogenetic
correlations indicating that they have biological causes. We discuss the
origins and effects of phylogenetically correlated biological variation in
regression studies. In particular, we discuss the interplay of biological
deviations with deviations due to observational or measurement errors,
which are also important in comparative studies based on estimated species
means. We show how bias in estimated evolutionary regressions can arise
from several sources, including phylogenetic inertia and either
observational or biological error in the predictor variables. We show how
all these biases can be estimated and corrected for in the presence of
phylogenetic correlations. We present general formulas for incorporating
measurement error in linear models with correlated data. We also show how
alternative regression models, such as major-axis and reduced major-axis
regression, which are often recommended when there is error in predictor
variables, are strongly biased when there is biological variation in any
part of the model. We argue that such methods should never be used to
estimate evolutionary or allometric regression slopes.
HansenBartoszekSupplementaryA