# st: re: Program for OLS regression coefficients using weights

 From Kit Baum <[email protected]> To [email protected] Subject st: re: Program for OLS regression coefficients using weights Date Thu, 18 Jun 2009 11:32:15 -0400

```<>
Sylke said

```
I would need to write a programme that gives me the b coefficients of an OLS regression, using weights. This is an easy task if no weights are used with b being (X'X)-1(X'Y): mat accum xprimex = x mat vecaccum yprimex = y x *Transpose mat xprimey =yprimex' mat b = inv(xprimex)*(xprimey) mat list b However, I would like to estimate b=(X'DX)-1 X'DY, hence applying design weights. D is now a diagonal weight matrix. Martin suggested Mata. No need for Mata here, though, if you're just trying to apply a diagonal matrix of weights stored in a variable:
```
sysuse auto,clear
replace foreign = 2*foreign
replace foreign = 10 if foreign==0
reg price weight turn [iw=foreign^2]
g wprice = foreign*price
g wweight = foreign*weight
g wturn = foreign*turn
reg wprice wweight wturn foreign, nocons

Kit

Kit Baum   |   Boston College Economics & DIW Berlin   |   http://ideas.repec.org/e/pba1.html
```
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