Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun statistics A phenomenon in which two or more
predictor variables in a multiple regression model are highlycorrelated , so that thecoefficient estimates may changeerratically in response to small changes in the model or data.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- noun a case of multiple regression in which the predictor variables are themselves highly correlated
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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A problem in regression analysis is multicollinearity, which is to say moderate or high correlations among the independent variables.
Multicollinearity and Micronumerosity, Bryan Caplan | EconLog | Library of Economics and Liberty 2009
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But if we had to use historical data instead, we would sove the problem of multicollinearity by using factor analysis or partial least squares, both of which combine the data into fewer, but independent predictors.
Multicollinearity and Micronumerosity, Bryan Caplan | EconLog | Library of Economics and Liberty 2009
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Goldberger's main point: People who use statistics often talk as if multicollinearity high correlations between independent variables biases results.
Multicollinearity and Micronumerosity, Bryan Caplan | EconLog | Library of Economics and Liberty 2009
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In the context of an inverse regression, you have to think long and hard about whether a procedure for regression of effect upon causes (tree ring ~ temperature + precipitation) where you want orthogonality can be transmogrified into an inverse regression of cause upon effect in the style of dendroclimatologists ( temperature ~ bristlecones+ Gasp + …), where you actually want multicollinearity (i.e. a signal).
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And what about the common trend in CO2 and Solar, no multicollinearity problems? jae
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Evidence of multicollinearity is consistent with that hypothesis and certainly not a “problem” for it.
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In short, whether or not multicollinearity is a problem depends on what hypothesis you are trying to test.
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In theory, PLS is applied in situations of multicollinearity, but the MBH network has many series that are essentially white noise and thus the proxies are surprisingly close to being orthogonal in the early networks and there are blocks of orthogonal series in the later network.
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For all you wild econometric fans: we are selecting on high multicollinearity in the Y to Z relationship.
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In my experience, interaction variables are kitchen sink type regressors that induce severe multicollinearity and give spurious results.
Archive 2005-11-27 Steve Sailer 2005
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