Joint significance t-test

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tomjomota
Posts: 3
Joined: Mon Apr 18, 2011 6:37 am

Joint significance t-test

Postby tomjomota » Mon Apr 18, 2011 6:50 am

The regression that I'm using looks like this:

athex c athex_g athex_g(-1) athex_g(+1) athex_g_return athex_g_return(-1) athex_g_return(+1) athex_volatility

The main coefficient of interest is the coefficient of athex_g. But I also would like to test the joint significance of the coefficients of athex_g and the lead and the lag. It would be interesting if I could make a sum of these coefficients and test whether the sum is significant or not. In this case I believe that is a valuable test.
Can anyone help me with this? I am not looking for a Wald test to be clear.

Thanks a lot

startz
Non-normality and collinearity are NOT problems!
Posts: 3798
Joined: Wed Sep 17, 2008 2:25 pm

Re: Joint significance t-test

Postby startz » Mon Apr 18, 2011 9:03 am

Could you explain why you don't want to do the Wald test?

tomjomota
Posts: 3
Joined: Mon Apr 18, 2011 6:37 am

Re: Joint significance t-test

Postby tomjomota » Mon Apr 18, 2011 1:09 pm

Cause I would like to interpret the sum of the three coefficients and test whether that sum is significantly different from zero. According to my understanding, this is not what the F-test/Wald test would do. If you think I am wrong, could you explain to me why this is the same then.
Thanks

startz
Non-normality and collinearity are NOT problems!
Posts: 3798
Joined: Wed Sep 17, 2008 2:25 pm

Re: Joint significance t-test

Postby startz » Mon Apr 18, 2011 1:40 pm

The Wald test is just what you want. Test the hypothesis c(1)+c(2)+c(3)=0. Using the appropriate coefficient numbers, of course.

tomjomota
Posts: 3
Joined: Mon Apr 18, 2011 6:37 am

Re: Joint significance t-test

Postby tomjomota » Tue Apr 19, 2011 4:35 am

Right! Didn't think about that.
Thanks startz


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