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st: Identical VIF values


From   Dave Wilson <[email protected]>
To   [email protected]
Subject   st: Identical VIF values
Date   Tue, 22 Feb 2011 21:12:44 -0800

Hi List,

I'm working with a sample dataset and attempting to bend the VIF function (or the alternative, collin) to my will. Here's the situation:

The two IVs, yearsdg and c_market, run just fine through the regression:

> . regress y yearsdg c_market
> 
> ...
> 
> ------------------------------------------------------------------------------
>       y	 	|      Coef.   Std. Err.    t       P>|t|    [95% Conf. Interval]
> -------------+----------------------------------------------------------------
> yearsdg	 	|   979.4583   34.22053    28.62   0.000     912.2281    1046.689
> c_market	|   39630.46   2131.883    18.59   0.000     35442.12    43818.79
> _cons  		|   35905.22   611.2754    58.74   0.000      34704.3    37106.14
> ------------------------------------------------------------------------------

I should now be able to run the "estat vif" command. It runs successfully, but, oddly, I get identical VIF and tolerance values:

> . estat vif
> 
>     Variable 	|       VIF       1/VIF  
> ------------------+----------------------
>      yearsdg	 |      1.01    0.993055
>      c_market	 |      1.01    0.993055
> -------------+----------------------
>     Mean VIF 	|      1.01

This doesn't make any sense to me. the two variables aren't highly correlated:

> . pwcorr yearsdg c_market
> 
>              		|  yearsdg 		c_market
> ------------------+------------------
>      yearsdg 		|   1.0000 
>      c_market 		|  -0.0833   1.0000 

And, further odd, if I add another variable to the regression model, the vif function runs just fine:

> . estat vif
> 
>     Variable 	|       VIF       1/VIF  
> -----------------+----------------------
>      yearsdg		|      2.51    0.398715
>      c_market 		|     1.01    0.989573
>      yearsrank		|      2.49    0.401212
> -------------+----------------------
>     Mean VIF |      2.00

This also reveals that the two-variable model causes yearsdg to "borrow" the vif and tolerance values from c_market (the values are really those of c_market). 

For final information, if I run the just-downloaded collin function, the results are the same:

> . collin yearsdg c_market
> (obs=514)
> 
>   Collinearity Diagnostics
> 
>                         SQRT                   R-
>   Variable      VIF     VIF    Tolerance    Squared
> ----------------------------------------------------
>    yearsdg      1.01    1.00    0.9931      0.0069
>   c_market     	1.01    1.00    0.9931      0.0069
> ----------------------------------------------------
>   Mean VIF      1.01

What is going on? Is there a reason the VIF function doesn't work with just two variables?

Thanks in advance for the help!

---
Dave
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