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J Test and Instrument Rank

Posted: Wed Oct 07, 2009 8:30 am
by andre_6043
Dear all,

i am currently doing a GMM Regression with 4 potentially endogenous independant variables and 3 exogenous independant variables. The 3 endogenous variables are instrumented with the same three lagged (1 period) variables and one additional instrument.
The question I have concerns the test whether my instruments are weak or not. I have read that I should check the J-statistic and the instrument rank. Unfortunately I do not know how to assess whether the values are good or not. What values of the J-Statistic and the instrument rank suggests good instruments?

Thanks in advance for your advice!

Re: J Test and Instrument Rank

Posted: Wed Oct 07, 2009 8:38 am
by startz
Neither of these is really a test for weak instruments. If you have four endogenous variables and four instruments, the rank had better be 4 or GMM doesn't make any sense. The J-statistic can be used to test overidentifying restrictions.

Re: J Test and Instrument Rank

Posted: Wed Oct 07, 2009 9:08 am
by startz
More helpfully, you may want to take a look at the EViews 7 beta. It has some helpful diagnostics.

Hansens J-statistic in dynamic regression

Posted: Thu Nov 26, 2009 7:10 am
by andre_6043
Dear all,

i am currently doing a dynamic regression using as instruments dynamic lagged values (@dyn(-2,-5)) of the variable.
Does it makes sense to check Hansen's J-Stat to see whether I use relevant and valid instruments? In case it does make sense,
how do I know how many degrees of freedom my dynamic regression has? Besides, does someone know good literatur about Hansens J-Statistic
(alternatively Sargan Test) for dynamic regressions? Or simply literature about testing instrument validity and relevance in dynamic
regressions?

Thanks in advance for your efforts!

Re: J Test and Instrument Rank

Posted: Fri Nov 27, 2009 2:43 am
by theologos
Hello,


There is a nice chapter for Instrumental Variables in Stock and Watson Introduction to Econometrics, 2ed.

Regards