collinearity

(noun)

the condition of lying in the same straight line

Related Terms

  • Multicollinearity
  • spurious variable

Examples of collinearity in the following topics:

  • Relativistic Addition of Velocities

    • For collinear motions, the velocity of the fly relative to the shore is given by the following equation:
    • The speed of light in a collinear moving fluid is predicted accurately by the collinear case of the relativistic formula.
  • Including and assessing many variables in a model

    • We say the two predictor variables are collinear (pronounced as co-linear) when they are correlated, and this collinearity complicates model estimation.
    • While it is impossible to prevent collinearity from arising in observational data, experiments are usually designed to prevent predictors from being collinear.
  • Some Pitfalls: Estimability, Multicollinearity, and Extrapolation

    • As with collinearity, this is less important if one is only interested in a predictive model - but even when researchers say they are only interested in prediction, we find they are usually just as interested in the relative importance of the different explanatory variables.
  • Regressing position on attributes

    • The correlation matrix shows a very high collinearity between being in the workers group (variable 3) and participation in coalitions (variable 4).
  • Multiple and logistic regression solutions

    • (b) When coefficient estimates are sensitive to which variables are included in the model, this typically indicates that some variables are collinear.
  • Coefficient of Determination

    • there is collinearity present in the data on the explanatory variables; or
  • Logistic regression

    • (b) When coefficient estimates are sensitive to which variables are included in the model, this typically indicates that some variables are collinear.
  • Two model selection strategies

    • It is common for p-values of one variable to change, due to collinearity, after eliminating a different variable.
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