Stumped by WLS

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diggetybo
Posts: 152
Joined: Mon Jun 23, 2014 12:04 am

Stumped by WLS

Postby diggetybo » Tue Mar 31, 2015 12:18 am

Hello,

I was reviewing a chapter on weighted least squares, and found a different answer than in the book. I've been trying to figure it out for hours :(

The equation is very simple: nettfa = c + inc
nettfa is net total financial wealth
inc is income

There is also a sample restriction for single individuals: fsize=1

The answer in the book for OLS is: nettfa = -10.57 + .821inc + e
The answer in the book for WLS is: nettfa = -9.58 + .787inc + e

the heteroskedasticity is suggested to follow a multiplicative form: var(u|inc)=sigma2*inc, so to weight by sigma, we weight using: sqr(inc) right?

I got the OLS output right (big woop)
But my result for WLS is: nettfa = -10.21 + .811 + e

I checked: weighted least squares in eviews and used the series sqr(inc) for the weight.

The file is attached. Let me know if someone gets the books answer, I'm not sure what the problem is.
Attachments
401ksubs.wf1
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trubador
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Posts: 1520
Joined: Thu Nov 20, 2008 12:04 pm

Re: Stumped by WLS

Postby trubador » Tue Mar 31, 2015 1:32 am

Since you want to "remove" the heteroscedasticity, you should multiply the series by inverse standard deviation. Which means that the correct weight would be: 1/@sqrt(inc)

diggetybo
Posts: 152
Joined: Mon Jun 23, 2014 12:04 am

Re: Stumped by WLS

Postby diggetybo » Tue Mar 31, 2015 1:50 am

Ohhh yea, haha that makes sense. thank you


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