Estimating and modelling bias of the hierarchical partitioning public-domain software: implications in environmental management and conservation.

PloS One
Pedro P OleaAngel de Frutos

Abstract

Hierarchical partitioning (HP) is an analytical method of multiple regression that identifies the most likely causal factors while alleviating multicollinearity problems. Its use is increasing in ecology and conservation by its usefulness for complementing multiple regression analysis. A public-domain software "hier.part package" has been developed for running HP in R software. Its authors highlight a "minor rounding error" for hierarchies constructed from >9 variables, however potential bias by using this module has not yet been examined. Knowing this bias is pivotal because, for example, the ranking obtained in HP is being used as a criterion for establishing priorities of conservation. Using numerical simulations and two real examples, we assessed the robustness of this HP module in relation to the order the variables have in the analysis. Results indicated a considerable effect of the variable order on the amount of independent variance explained by predictors for models with >9 explanatory variables. For these models the nominal ranking of importance of the predictors changed with variable order, i.e. predictors declared important by its contribution in explaining the response variable frequently changed to be either most ...Continue Reading

References

Sep 30, 2005·Proceedings. Biological Sciences·Risto K HeikkinenJuha Pöyry
Mar 17, 2006·Nature·Kerrie A WilsonHugh P Possingham
Aug 22, 2007·PloS One·Tara G MartinD Ryan Norris
Oct 14, 2008·Trends in Ecology & Evolution·Madeleine C BottrillHugh P Possingham

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Citations

Mar 27, 2019·American Journal of Primatology·Travis S Steffens, Shawn M Lehman
Jul 10, 2020·Human Brain Mapping·Sebastian G PopescuUNKNOWN Alzheimer's Disease Neuroimaging Initiative
Oct 17, 2018·Proceedings of the National Academy of Sciences of the United States of America·Bradford C Lister, Andres Garcia

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Software Mentioned

AUTOCOV4
ARCGIS
HP
. partâ
âlme4â package
DCOLONY10
SPLUS
FARMLAND
DROOST
âhier

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