What does high VIF mean?

A high VIF indicates that the associated independent variable is highly collinear with the other variables in the model.
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What happens if VIF is high?

It is a measure of multicollinearity in the set of multiple regression variables. The higher the value of VIF the higher correlation between this variable and the rest. If the VIF value is higher than 10, it is usually considered to have a high correlation with other independent variables.
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How do you interpret VIF results?

In general, a VIF above 10 indicates high correlation and is cause for concern. Some authors suggest a more conservative level of 2.5 or above.
...
A rule of thumb for interpreting the variance inflation factor:
  1. 1 = not correlated.
  2. Between 1 and 5 = moderately correlated.
  3. Greater than 5 = highly correlated.
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What is a good VIF value?

A rule of thumb commonly used in practice is if a VIF is > 10, you have high multicollinearity. In our case, with values around 1, we are in good shape, and can proceed with our regression.
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What VIF value indicates multicollinearity?

Generally, a VIF above 4 or tolerance below 0.25 indicates that multicollinearity might exist, and further investigation is required. When VIF is higher than 10 or tolerance is lower than 0.1, there is significant multicollinearity that needs to be corrected.
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Variance Inflation Factor Simplified | Variance Inflation Factor in Multicollinearity | VIF



How do you deal with high VIF?

Try one of these:
  1. Remove highly correlated predictors from the model. If you have two or more factors with a high VIF, remove one from the model. ...
  2. Use Partial Least Squares Regression (PLS) or Principal Components Analysis, regression methods that cut the number of predictors to a smaller set of uncorrelated components.
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What is acceptable multicollinearity?

According to Hair et al. (1999), the maximun acceptable level of VIF is 10. A VIF value over 10 is a clear signal of multicollinearity. You also should to analyze the tolerance values to have a clear idea of the problem.
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How do you interpret multicollinearity results?

View the code on Gist.
  1. VIF starts at 1 and has no upper limit.
  2. VIF = 1, no correlation between the independent variable and the other variables.
  3. VIF exceeding 5 or 10 indicates high multicollinearity between this independent variable and the others.
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What does VIF of 8 mean?

For example, a VIF of 8 implies that the standard errors are larger by a factor of 8 than would otherwise be the case, if there were no inter-correlations between the predictor of interest and the remaining predictor variables included in the multiple regression analysis.
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How do you deal with multicollinearity in regression?

How to Deal with Multicollinearity
  1. Remove some of the highly correlated independent variables.
  2. Linearly combine the independent variables, such as adding them together.
  3. Perform an analysis designed for highly correlated variables, such as principal components analysis or partial least squares regression.
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What does it mean when the VIF of a variable is high in linear regression model?

A high VIF indicates that the associated independent variable is highly collinear with the other variables in the model.
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Is multicollinearity a problem?

Multicollinearity exists whenever an independent variable is highly correlated with one or more of the other independent variables in a multiple regression equation. Multicollinearity is a problem because it undermines the statistical significance of an independent variable.
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What does high collinearity mean?

In regression analysis , collinearity of two variables means that strong correlation exists between them, making it difficult or impossible to estimate their individual regression coefficients reliably. The extreme case of collinearity, where the variables are perfectly correlated, is called singularity .
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Is multicollinearity good or bad?

Moderate multicollinearity may not be problematic. However, severe multicollinearity is a problem because it can increase the variance of the coefficient estimates and make the estimates very sensitive to minor changes in the model. The result is that the coefficient estimates are unstable and difficult to interpret.
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What does VIF mean in SPSS?

One way to detect multicollinearity is by using a metric known as the variance inflation factor (VIF), which measures the correlation and strength of correlation between the predictor variables in a regression model.
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What is the difference between collinearity and multicollinearity?

Collinearity is a linear association between two predictors. Multicollinearity is a situation where two or more predictors are highly linearly related. In general, an absolute correlation coefficient of >0.7 among two or more predictors indicates the presence of multicollinearity.
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How would you check if the model is suffering from multicollinearity?

Detecting Multicollinearity
  1. Step 1: Review scatterplot and correlation matrices. ...
  2. Step 2: Look for incorrect coefficient signs. ...
  3. Step 3: Look for instability of the coefficients. ...
  4. Step 4: Review the Variance Inflation Factor.
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What does a VIF of 5 mean?

VIF > 5 is cause for concern and VIF > 10 indicates a serious collinearity problem.
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Can I ignore multicollinearity?

You can ignore multicollinearity for a host of reasons, but not because the coefficients are significant.
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Does multicollinearity affect decision tree?

Luckily, decision trees and boosted trees algorithms are immune to multicollinearity by nature . When they decide to split, the tree will choose only one of the perfectly correlated features.
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Why does multicollinearity increase variance?

The multicollinearity causes inaccurate results of regression analysis. If there is multicollinearity in the regression model, it leads to the biased and unstable estimation of regression coefficients, increases the variance and standard error of coefficients, and decreases the statistical power.
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Why it is important to remove multicollinearity?

Removing multicollinearity is an essential step before we can interpret the ML model. Multicollinearity is a condition where a predictor variable correlates with another predictor. Although multicollinearity doesn't affect the model's performance, it will affect the interpretability.
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What problems may result from multicollinearity?

Statistical consequences of multicollinearity include difficulties in testing individual regression coefficients due to inflated standard errors. Thus, you may be unable to declare an X variable significant even though (by itself) it has a strong relationship with Y.
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