VIF - Variance Inflation, when to remove the variable












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I'm doing a regression analysis on cement mixtures. The goal is obviously to create the mixture with the most strength. Here are the following variables for me to work with:



Variables: Strength = Cement, Slag, Fly_Ash, Water, Superplasticizer, Coarse_Aggregate, Fine_Aggregate, Age



From reading some articles on cement mixtures, as well as analyzing my dataset, it seems that Fine Aggregate and Coarse Aggregate account for 75% of the kilograms in a mixture. So if I had a cement mixture of 1000kg, Fine and Coarse Aggregate account for 750kg of that combined.



When I ran the initial analysis, they had relatively high P-Values of 25% and 16%. We've been told that anything 10% (sometimes even 5%) or above is pretty bad and we should look to remove the variable. I decided, that with my 'knowledge' in cement I should keep these in (if possible) and try to run with it. So I carried forward with the model and checked the variance inflation, all were pretty good under the threshold of VIF = 10. I looked at the residuals/scatterplots (using SAS) and noticed that there is curvature in Age, suggesting a higher order term (Age x Age) and then an interaction that's very significant between Superplasticizer x FlyAsh. I ran the model with those interactions and then both aggregates had 96% and 75% P-Values which is tragic and suggests I should remove them.



I'm hard-pressed to remove them w/ the knowledge that almost all mixtures use it. I created an interaction between the aggregates to see if there was some way that would allow me to keep them (drop the P-values). So the interaction, when running with /vif for variance inflation makes the P-values significant but the VIF number for the interaction is 200+. I know you ignore the VIF number of the first order variable, but do you look at the interaction? If so, I have to remove that obviously.










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    I'm doing a regression analysis on cement mixtures. The goal is obviously to create the mixture with the most strength. Here are the following variables for me to work with:



    Variables: Strength = Cement, Slag, Fly_Ash, Water, Superplasticizer, Coarse_Aggregate, Fine_Aggregate, Age



    From reading some articles on cement mixtures, as well as analyzing my dataset, it seems that Fine Aggregate and Coarse Aggregate account for 75% of the kilograms in a mixture. So if I had a cement mixture of 1000kg, Fine and Coarse Aggregate account for 750kg of that combined.



    When I ran the initial analysis, they had relatively high P-Values of 25% and 16%. We've been told that anything 10% (sometimes even 5%) or above is pretty bad and we should look to remove the variable. I decided, that with my 'knowledge' in cement I should keep these in (if possible) and try to run with it. So I carried forward with the model and checked the variance inflation, all were pretty good under the threshold of VIF = 10. I looked at the residuals/scatterplots (using SAS) and noticed that there is curvature in Age, suggesting a higher order term (Age x Age) and then an interaction that's very significant between Superplasticizer x FlyAsh. I ran the model with those interactions and then both aggregates had 96% and 75% P-Values which is tragic and suggests I should remove them.



    I'm hard-pressed to remove them w/ the knowledge that almost all mixtures use it. I created an interaction between the aggregates to see if there was some way that would allow me to keep them (drop the P-values). So the interaction, when running with /vif for variance inflation makes the P-values significant but the VIF number for the interaction is 200+. I know you ignore the VIF number of the first order variable, but do you look at the interaction? If so, I have to remove that obviously.










    share|cite|improve this question

























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      0







      I'm doing a regression analysis on cement mixtures. The goal is obviously to create the mixture with the most strength. Here are the following variables for me to work with:



      Variables: Strength = Cement, Slag, Fly_Ash, Water, Superplasticizer, Coarse_Aggregate, Fine_Aggregate, Age



      From reading some articles on cement mixtures, as well as analyzing my dataset, it seems that Fine Aggregate and Coarse Aggregate account for 75% of the kilograms in a mixture. So if I had a cement mixture of 1000kg, Fine and Coarse Aggregate account for 750kg of that combined.



      When I ran the initial analysis, they had relatively high P-Values of 25% and 16%. We've been told that anything 10% (sometimes even 5%) or above is pretty bad and we should look to remove the variable. I decided, that with my 'knowledge' in cement I should keep these in (if possible) and try to run with it. So I carried forward with the model and checked the variance inflation, all were pretty good under the threshold of VIF = 10. I looked at the residuals/scatterplots (using SAS) and noticed that there is curvature in Age, suggesting a higher order term (Age x Age) and then an interaction that's very significant between Superplasticizer x FlyAsh. I ran the model with those interactions and then both aggregates had 96% and 75% P-Values which is tragic and suggests I should remove them.



      I'm hard-pressed to remove them w/ the knowledge that almost all mixtures use it. I created an interaction between the aggregates to see if there was some way that would allow me to keep them (drop the P-values). So the interaction, when running with /vif for variance inflation makes the P-values significant but the VIF number for the interaction is 200+. I know you ignore the VIF number of the first order variable, but do you look at the interaction? If so, I have to remove that obviously.










      share|cite|improve this question













      I'm doing a regression analysis on cement mixtures. The goal is obviously to create the mixture with the most strength. Here are the following variables for me to work with:



      Variables: Strength = Cement, Slag, Fly_Ash, Water, Superplasticizer, Coarse_Aggregate, Fine_Aggregate, Age



      From reading some articles on cement mixtures, as well as analyzing my dataset, it seems that Fine Aggregate and Coarse Aggregate account for 75% of the kilograms in a mixture. So if I had a cement mixture of 1000kg, Fine and Coarse Aggregate account for 750kg of that combined.



      When I ran the initial analysis, they had relatively high P-Values of 25% and 16%. We've been told that anything 10% (sometimes even 5%) or above is pretty bad and we should look to remove the variable. I decided, that with my 'knowledge' in cement I should keep these in (if possible) and try to run with it. So I carried forward with the model and checked the variance inflation, all were pretty good under the threshold of VIF = 10. I looked at the residuals/scatterplots (using SAS) and noticed that there is curvature in Age, suggesting a higher order term (Age x Age) and then an interaction that's very significant between Superplasticizer x FlyAsh. I ran the model with those interactions and then both aggregates had 96% and 75% P-Values which is tragic and suggests I should remove them.



      I'm hard-pressed to remove them w/ the knowledge that almost all mixtures use it. I created an interaction between the aggregates to see if there was some way that would allow me to keep them (drop the P-values). So the interaction, when running with /vif for variance inflation makes the P-values significant but the VIF number for the interaction is 200+. I know you ignore the VIF number of the first order variable, but do you look at the interaction? If so, I have to remove that obviously.







      regression regression-analysis






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      asked Nov 20 '18 at 22:02









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