AR

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pgrign
Posts: 11
Joined: Fri Mar 03, 2017 2:59 am

AR

Postby pgrign » Tue Mar 07, 2017 4:07 am

Hi,
I have a question that might be trivial, but I can't really figure it out... I have a multi-factor regression, like:
y c ar(1) x(1) x(2)

where x(1) and x(2) are exogenous. For some reason, if I write it down like this:
y c Y(-1) x(1) x(2)

the coefficients are completely different.

On the other side I have noticed that in a single-factor regression the coefficients do not change.
Is there somebody able to explain why does it happen?

Thanks

startz
Non-normality and collinearity are NOT problems!
Posts: 3775
Joined: Wed Sep 17, 2008 2:25 pm

Re: AR

Postby startz » Tue Mar 07, 2017 7:00 am

They are different models.

AR(1) is equivalent to

y = r*y(-1) + (1-r) x1 + r*x1(-1) + x2-r*x2(-1)

lag model is just

y = r*y(-1) + c + x1+ x2

virginialuther12
Posts: 1
Joined: Fri Mar 10, 2017 2:41 am

Re: AR

Postby virginialuther12 » Sat Mar 11, 2017 1:47 am

Thanks


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