# Re: st: Detecting collinearity during regression analysis

 From Steven Samuels To statalist@hsphsun2.harvard.edu Subject Re: st: Detecting collinearity during regression analysis Date Tue, 10 Feb 2009 16:53:53 -0500

```Dear Anon:

```
I apologize. I should have answered your further question about assumptions: "very small coefficients" have nothing to do with collinearity. A Google search will turn up many explanations of collinearity for you.
```
Regards,

-Steve

```
```On Feb 10, 2009, at 2:28 PM, Anon Mouse wrote:
```
```
```
```Hello and thank you in advance,

I have a question about detecting collinearity.

First, see my example:

***BEGIN***

sysuse auto, clear
xi: qreg mpg foreign i.make, nolog

***END***

```
Note in this example that I used quantile regression to determine effects of foreign and make on MPG.
```
```
I used xi command to create dummy categorical variables for make (note that this creates quite a large number of variables for make, as make is a continuous variable, but I did this for example).
```
```
Note that the coefficients are very small (e.g. e^-15), approaching zero.
```
In this example, does this indicate collinearity?  And why?

```
The reason I used such a granular dummy categorization for make is to highlight my example. In my real data, I have age and wage. When I use categories such as age/10 or wage/10000, this gives me "collinearity" (i.e. very small coefficients). When I collapse these age or wage categories to smaller categories (i.e. age or wage as binomial variables, greater than or less than a certain value), I correct this problem of "collinearity".
```
Am I correct in my assumptions?

Thank you.

_________________________________________________________________
Windows Live Messenger. Multitasking at its finest.
http://www.microsoft.com/windows/windowslive/products/messenger.aspx
*
*   For searches and help try:
*   http://www.stata.com/help.cgi?search
*   http://www.stata.com/support/statalist/faq
*   http://www.ats.ucla.edu/stat/stata/
```
```
*
*   For searches and help try:
*   http://www.stata.com/help.cgi?search
*   http://www.stata.com/support/statalist/faq
*   http://www.ats.ucla.edu/stat/stata/
```