CONFRONTING MULTICOLLINEARITY IN ECOLOGICAL MULTIPLE REGRESSION
@article{Graham2003CONFRONTINGMI, title={CONFRONTING MULTICOLLINEARITY IN ECOLOGICAL MULTIPLE REGRESSION}, author={Michael H. Graham}, journal={Ecology}, year={2003}, volume={84}, pages={2809-2815} }
The natural complexity of ecological communities regularly lures ecologists to collect elaborate data sets in which confounding factors are often present. Although multiple regression is commonly used in such cases to test the individual effects of many explanatory variables on a continuous response, the inherent collinearity (multicollinearity) of confounded explanatory variables encumbers analyses and threatens their statistical and inferential interpretation. Using numerical simulations, I…
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References
SHOWING 1-10 OF 21 REFERENCES
The Use of Regression for Detecting Competition with Multicollinear Data
- Mathematics
- 1988
It is proposed that apparent competition (Holt 1977) and the failure of regression techniques to detect competition when it is known to exist experimentally may be due to the omission or lack of measurement of critical elements of the community matrix.
REGRESSION ANALYSIS OF NATURAL SELECTION: STATISTICAL INFERENCE AND BIOLOGICAL INTERPRETATION
- BiologyEvolution; international journal of organic evolution
- 1987
While fitness regression permits direct assessment of selection in a form suitable for predicting selection response, it is suggested that the aim of inferring causal relationships about the effects of phenotypic characters on fitness is greatly facilitated by manipulative experiments.
MULTIVARIATE ANALYSIS IN ECOLOGY AND SYSTEMATICS: PANACEA OR PANDORA'S BOX?
- Biology
- 1990
In a survey of the literature, this work found 20 major summaries of recent applications of multivariate analysis in ecology and systematics, with an increasing interest in multivariate methods.
Inferring multiple causality : the limitations of path analysis
- Environmental Science
- 1996
Review of published ecological studies using path analysis suggests that path analysis is often misused and collinearity is a moderate to severe problem in a majority of the analyses, suggesting that path coefficients may often mislead ecologists about the relative importance of ecological processes.
EFFECTS OF ENVIRONMENTAL CHANGE ON PLANT SPECIES DENSITY: COMPARING PREDICTIONS WITH EXPERIMENTS
- Environmental Science
- 1999
Experimental validation is required to determine the predictive value of comparative relationships derived from descriptive data on changes in plant species density resulting from field experiments.
Methods and Applications of Linear Models: Regression and the Analysis of Variance
- Mathematics, Computer Science
- 2003
This book explains the development of linear models and their applications in reinforcement learning, and some of the models’ applications in qualitative and quantitative sciences are explained.
Direct and indirect effects of prior grazing of goldenrod upon the performance of a leaf beetle
- Environmental Science
- 1995
Impacts of food availability and quality must be considered jointly to understand how prior grazing influences herbivore performance.
Testing causal explanations in organismal biology : causation, correlation and structural equation modelling
- Philosophy
- 1999
This paper describes some recent statistical developments that specify under what conditions multivariate causal explanations can be tested with observational data. The specific questions that…
Factors determining the upper limit of giant kelp, Macrocystis pyrifera Agardh, along the Monterey Peninsula, central California, USA
- Environmental Science
- 1997
Using Multivariate Statistics
- Biology
- 1983
In this Section: 1. Multivariate Statistics: Why? and 2. A Guide to Statistical Techniques: Using the Book Research Questions and Associated Techniques.