Abstract
Abstract It is often thought that regression data should be mean-centered before being diagnosed for collinearity (ill conditioning). This view is shown not generally to be correct. Such centering can mask elements of ill conditioning and produce meaningless and misleading collinearity diagnostics. In order to assess conditioning meaningfully, the data must be in a form that possesses structural interpretability.
Keywords
CollinearityInterpretabilityConditioningStatisticsEconometricsMathematicsComputer scienceArtificial intelligence
Affiliated Institutions
Related Publications
Robustness of partial least-squares method for estimating latent variable quality structures
Latent variable structural models and the partial least-squares (PLS) estimation procedure have found increased interest since being used in the context of customer satisfaction...
Multimodel inference in ecology and evolution: challenges and solutions
Information theoretic approaches and model averaging are increasing in popularity, but this approach can be difficult to apply to the realistic, complex models that typify many ...
Collinearity: a review of methods to deal with it and a simulation study evaluating their performance
Collinearity refers to the non independence of predictor variables, usually in a regression‐type analysis. It is a common feature of any descriptive ecological data set and can ...
CONFRONTING MULTICOLLINEARITY IN ECOLOGICAL MULTIPLE REGRESSION
The natural complexity of ecological communities regularly lures ecologists to collect elaborate data sets in which confounding factors are often present. Although multiple regr...
Generalized Collinearity Diagnostics
Abstract Working in the context of the linear model y = Xβ + ε, we generalize the concept of variance inflation as a measure of collinearity to a subset of parameters in β (deno...
Publication Info
- Year
- 1984
- Type
- article
- Volume
- 38
- Issue
- 2
- Pages
- 73-77
- Citations
- 127
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
127
OpenAlex
Cite This
David A. Belsley
(1984).
Demeaning Conditioning Diagnostics through Centering.
The American Statistician
, 38
(2)
, 73-77.
https://doi.org/10.1080/00031305.1984.10483169
Identifiers
- DOI
- 10.1080/00031305.1984.10483169