test for autocorrelation when estimating ARCH-Model

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Michal83
Posts: 2
Joined: Sat Nov 02, 2013 3:25 am

test for autocorrelation when estimating ARCH-Model

Postby Michal83 » Sat Nov 02, 2013 4:41 am

Hi, I estimated in EViews 8 an equation using the ARCH-Method. In residual diagnostics, there is no Breusch-Godfrey Serial Correlation LM. Why?
How can I test for the autocorrelaction? In my equation, I use a lagged endogenous variable, so the Durbin Watson test is biased (and the Breusch-Godfrey test is not offered). Is there any easy way, how to calculate the Durbin h-statistic? Or other tests? Thank you very much in advance.

strypste
Posts: 53
Joined: Tue Jan 24, 2012 8:54 am

Re: test for autocorrelation when estimating ARCH-Model

Postby strypste » Mon Nov 04, 2013 6:24 am

open your equation object and go to:

view -> Residual diagnostics -> Correlogram - Q-statistic

and then click "ok".

The output will show the Ljung-Box Q-statistics and its p value. The null hypothesis is that there is no autocorrelation (See http://en.wikipedia.org/wiki/Ljung-Box_test)

forever
Posts: 6
Joined: Fri May 31, 2013 7:22 am

Re: test for autocorrelation when estimating ARCH-Model

Postby forever » Fri Dec 06, 2013 3:59 am

Hi,strypste,could one can test the autocorrelation by clicking Proc/make residual series and then clicking view/correlogram?which one is standard?

strypste
Posts: 53
Joined: Tue Jan 24, 2012 8:54 am

Re: test for autocorrelation when estimating ARCH-Model

Postby strypste » Fri Dec 06, 2013 4:15 am

Hi

I think this depends on the model you estimated.

For example:

Model 1: y c ar(1) ar(2)

Model 2: y c y(-1) y(-2)

You will see that for model 2 the two methods will show that same results, but for model 1 they will be different. In particular, the method you propose will not have p-values for the first two lags. This has to do with the degrees of freedom. Somebody else and I actually already posted a question asking why exactly this is the case. (http://forums.eviews.com/viewtopic.php? ... 718#p12565)

trubador
Did you use forum search?
Posts: 1520
Joined: Thu Nov 20, 2008 12:04 pm

Re: test for autocorrelation when estimating ARCH-Model

Postby trubador » Fri Dec 06, 2013 6:09 am

In particular, the method you propose will not have p-values for the first two lags. This has to do with the degrees of freedom.
Yes, that is correct. When the residuals from an estimated ARIMA model are used, degrees-of-freedom are reduced by the number of estimated AR/MA coefficients.

forever
Posts: 6
Joined: Fri May 31, 2013 7:22 am

Re: test for autocorrelation when estimating ARCH-Model

Postby forever » Fri Dec 06, 2013 6:21 am

Dear strypste:
I find the two test ways are conflicted in my equation,now I think the first way is correct when you fit a ARIMA model,such as what have done in "Forecasting the Volatility of Philippine Inflation using GARCH Models". Do you agree with me? As to your question(viewtopic.php?f=18&t=3718#p12565),it should be occured in the first test way.I don't know the true difference between model 1 and model 2 all the time,as I know, the model 1 should be AR(2) model,but I don't know what mean about the model2?.Could you tell me?

strypste
Posts: 53
Joined: Tue Jan 24, 2012 8:54 am

Re: test for autocorrelation when estimating ARCH-Model

Postby strypste » Fri Dec 06, 2013 6:53 am

This post explains the difference between model 1 and model 2:
http://forums.eviews.com/viewtopic.php?f=7&t=465

forever
Posts: 6
Joined: Fri May 31, 2013 7:22 am

Re: test for autocorrelation when estimating ARCH-Model

Postby forever » Fri Dec 06, 2013 7:52 am

Thank you vary much,strypste :)


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