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RE: st: RE: Hausman-Taylor and Autocorrelation


From   "Schaffer, Mark E" <[email protected]>
To   <[email protected]>
Subject   RE: st: RE: Hausman-Taylor and Autocorrelation
Date   Sun, 20 Mar 2011 23:54:51 -0000

May,

> -----Original Message-----
> From: [email protected] 
> [mailto:[email protected]] On Behalf Of May Ster
> Sent: 20 March 2011 23:35
> To: [email protected]
> Subject: Re: st: RE: Hausman-Taylor and Autocorrelation
> 
> Actually, Tradepairs in my study is bilateral pairs of 10 countries.
> So given your example, in my case, there will be 6 tradepairs 
> because in my data ( only consider export). Thus, export of A 
> to B might not be equal to export of B to A.
> 
> So again, with 3 trading partners, A, B, C, i then have AB, 
> AC, BC, BA, CA and CB. This is how i have 90 Tradepairs in my 
> data set.
> 
> If the cluster-robust structure implies that there is no 
> correlation between errors of tradepairs. Then, could i stop 
> at the previous
> -xthtaylor- estimates ( the non-robust version)? Is that acceptable?

I don't think you can do that.  If the robust version points to specification problems, you can't easily point to a non-robust version to say that the problems aren't actually there.  The point of robust tests is that they are valid under a wider set of circumstances.

Maybe others want to come in here....

--Mark

> 
> Thank you in advance,
> 
> 
> 
> 
> 
> On Sun, Mar 20, 2011 at 11:03 PM, Schaffer, Mark E 
> <[email protected]> wrote:
> > May,
> >
> > 90 isn't very small.  And taken at face value, the 
> cluster-robust overid stat suggests that you have 
> inconsistent estimates.
> >
> > But the term you're using for your panel units, 
> "tradepairs", suggests that the cluster-robust structure may 
> not be appropriate.  Are these bilateral pairs of trading 
> partners?  Say you have 3 trading partners, A, B and C.  Then 
> you have 3 possible trading pairs, AB, AC and BC.  The 
> cluster-robust structure implies that there is no correlation 
> between, e.g., the errors for AB and AC.  Is that reasonable, 
> given that partner A is trading in both?
> >
> > Maybe some others on the list have suggestions about how to 
> deal with data that take this structure.
> >
> > --Mark
> >
> >> -----Original Message-----
> >> From: [email protected]
> >> [mailto:[email protected]] On Behalf Of May Ster
> >> Sent: 20 March 2011 21:44
> >> To: [email protected]
> >> Subject: Re: st: RE: Hausman-Taylor and Autocorrelation
> >>
> >> Thank you.
> >>
> >> I have additional informations. Hopefully, there are solutions.
> >>
> >> I have 90 Tradepairs (Panel Variables) in this setting. 
> So, in this 
> >> case, Can i plausibly use the non-robust overid statistic 
> to suggest 
> >> the estimates are still consistent? yet lack efficiency?.
> >>
> >> Or, i can't conclude anything at this stage.
> >>
> >> If 90 Tradepairs are small and you've suggested HT is unrealiable.
> >> Does this simply mean the model is misspecified?
> >> If possible could you privide other optional solutions?. I am very 
> >> new to econometrics and STATA.
> >>
> >> Actually, my next plan is to estimate this same equation however 
> >> enlarging the Panel to be 380. Hopefully the robust-overid 
> statistic 
> >> is reliable then.
> >>
> >> Please assist.
> >> Thanks.
> >>
> >>
> >> On Sun, Mar 20, 2011 at 9:20 PM, Schaffer, Mark E 
> >> <[email protected]> wrote:
> >> > May,
> >> >
> >> > In other words, the standard non-robust overid statistic is
> >> small, suggesting you shouldn't reject the null of valid 
> instruments, 
> >> but the cluster-robust overid statistic is large, suggesting you 
> >> should reject the null.
> >> >
> >> > This is a little unusual but possible.  Usually it's the
> >> other way around, i.e., we usually expect non-robust test 
> stats to be 
> >> misleadingly small compared to the heteroskedasticity or 
> >> cluster-robust versions.
> >> >
> >> > One caveat - if you have only a small number of clusters,
> >> the cluster-robust test stats can be unreliable.  For that 
> matter, if 
> >> clusters are panel units, and you have only a small number 
> of panel 
> >> units, HT will be unreliable as well.
> >> >
> >> > --Mark
> >> >
> >> >> -----Original Message-----
> >> >> From: [email protected]
> >> >> [mailto:[email protected]] On Behalf Of May 
> >> >> Ster
> >> >> Sent: 20 March 2011 20:57
> >> >> To: [email protected]
> >> >> Subject: Re: st: RE: Hausman-Taylor and Autocorrelation
> >> >>
> >> >> Apologize for not making my point clear earlier. 
> However, what i 
> >> >> meant was that i have this panel data ;
> >> >>
> >> >> Panel data set : Panel Variable : Tradepairs (Strongly Balanced)
> >> >>                         Time Variable  : year, 1970 -2007
> >> >>                           delta             : 1 year
> >> Initially i did
> >> >> ;
> >> >>
> >> >> xthtaylor Y X1 X2 X3,...,X9, endo(X3 X4 X7) varying(X1 X2 X3 X4 
> >> >> X5)
> >> >>
> >> >> After that, i used -xtoverid- , as a result, i obtained
> >> Sargan-Hansen
> >> >> Test = 2.520 with the P= 0.2837 so i considered this sets of 
> >> >> instruments are valid.
> >> >>
> >> >> However, since i suspected Autocorrelations. I then followed 
> >> >> suggestions as discussed by again after estimated ;
> >> >>
> >> >> xthtaylor Y X1 X2 X3,...X9, endo(X3 X4 X7) varying(X1 
> X2 X3 X4 X5)
> >> >>
> >> >> This time, i used -xtoverid, cluster(Tradepairs) noisily-
> >> >>
> >> >> As a result, i obtained Sargan-Hansen Statistic = 9.898 
> with P = 
> >> >> 0.0195. This is where i'm being confused by.
> >> >> Since, as i understand, i didn't change the sets of
> >> instruments, but
> >> >> now with cluster option, the P value is lowered ( < 0.05) which 
> >> >> signifies that this sets of instruments are now not valid?
> >> >>
> >> >> I am not sure whether this could be because i used the
> >> command option
> >> >> -cluster- wrongly.
> >> >> Please assist.
> >> >> Thank you very much in advance,
> >> >>
> >> >> May
> >> >>
> >> >> On Sun, Mar 20, 2011 at 1:02 AM, Schaffer, Mark E 
> >> >> <[email protected]> wrote:
> >> >> > May,
> >> >> >
> >> >> >> -----Original Message-----
> >> >> >> From: [email protected]
> >> >> >> [mailto:[email protected]] On 
> Behalf Of May 
> >> >> >> Ster
> >> >> >> Sent: 19 March 2011 19:54
> >> >> >> To: [email protected]
> >> >> >> Subject: Re: st: RE: Hausman-Taylor and Autocorrelation
> >> >> >>
> >> >> >> Thank you Jeffrey and Mark so far,
> >> >> >>
> >> >> >> I've followed your suggestion using -xthtaylor- with 
> -xtoverid,
> >> >> >> cluster(clustvar) noisily-
> >> >> >>
> >> >> >> However, i have some doubts regarding the results.
> >> >> >>
> >> >> >> I didn't change the sets of instruments from my
> >> previous tasks in
> >> >> >> which the overidentification test suggests the validity of 
> >> >> >> instruments.
> >> >> >> Nevertheless, after i use -xtoverid, cluster(clustvar)
> >> >> >> noisily- there is the Hansen J statistic which giving
> >> the P value
> >> >> >> which is smaller (Sargan-Hansen = 6.364 with the P value =
> >> >> 0.0415)
> >> >> >> than when i use just -xtoverid- after -xthtaylor-.
> >> >> >>
> >> >> >> So , does this imply that the overidentification test I've
> >> >> previously
> >> >> >> done with -xtoverid- is no longer appropriate to identify
> >> >> that these
> >> >> >> sets of  instruments are valid?
> >> >> >
> >> >> > You need to tell us more about the equations you are
> >> >> estimating.  Are you saying that you estimated the 
> *same* equation 
> >> >> but now obtained a different overid statistic?  That 
> shouldn't be 
> >> >> possible.  If the equations weren't the same, how were they 
> >> >> different?
> >> >> >
> >> >> > --Mark
> >> >> >
> >> >> >> Please assist,
> >> >> >>
> >> >> >> May
> >> >> >>
> >> >> >>
> >> >> >>
> >> >> >> On Wed, Mar 9, 2011 at 8:00 PM, Wooldridge, Jeffrey 
> >> >> >> <[email protected]> wrote:
> >> >> >> >
> >> >> >> > Certainly seems easier to me!
> >> >> >> >
> >> >> >> > Even easier would be to get the Stata folks to allow
> >> >> >> "cluster" with xthtaylor in future versions.
> >> >> >> >
> >> >> >> > -----Original Message-----
> >> >> >> > From: [email protected]
> >> >> >> > [mailto:[email protected]] On Behalf Of
> >> >> >> Schaffer,
> >> >> >> > Mark E
> >> >> >> > Sent: Wednesday, March 09, 2011 2:27 PM
> >> >> >> > To: [email protected]
> >> >> >> > Subject: RE: st: RE: Hausman-Taylor and Autocorrelation
> >> >> >> >
> >> >> >> > Or, to avoid some of the tedium, after estimation by 
> >> >> >> > -xthtaylor-,
> >> >> >> >
> >> >> >> > xtoverid, cluster(clustvar) noisily
> >> >> >> >
> >> >> >> > will report the cluster-robust SEs for the HT estimation.
> >> >> > (Replacing,
> >> >> >> > of course, "clustvar" by the name of the variable on
> >> >> which you are
> >> >> >> > clustering.)
> >> >> >> >
> >> >> >> > Not all the tedium is avoided, because the variable names
> >> >> >> reported by -xtoverid- are Stata temporary names, so
> >> you'd have to
> >> >> >> match them to the real names by comparing the output
> >> with that of
> >> >> >> -xthtaylor-, but it probably beats doing HT by hand.
> >> >> >> >
> >> >> >> > Cheers,
> >> >> >> > Mark
> >> >> >> >
> >> >> >> > > -----Original Message-----
> >> >> >> > > From: [email protected]
> >> >> >> > > [mailto:[email protected]] On 
> Behalf Of 
> >> >> >> > > Wooldridge, Jeffrey
> >> >> >> > > Sent: 09 March 2011 18:39
> >> >> >> > > To: [email protected]
> >> >> >> > > Subject: RE: st: RE: Hausman-Taylor and Autocorrelation
> >> >> >> > >
> >> >> >> > > The transformation used by HT is the same as that used by
> >> >> >> RE, it's
> >> >> >> > > just that the former uses IV. In Stata, RE has a "theta"
> >> >> >> > > option so that you can see what fraction of the mean is
> >> >> >> subtracted
> >> >> >> > > off (which is the same for all i with a balanced panel).
> >> >> >> > > Unfortunately, it is not an option with HT.
> >> >> >> > >
> >> >> >> > > You can compute it from the HT output: it depends on
> >> >> sigmasq(u),
> >> >> >> > > sigmasq(e), and T. I call it lambda
> >> >> >> > > (unfortunately) in both editions of my book.
> >> Greene's book and
> >> >> >> > > Baltagi's must have it, too. If you get this
> >> estimate, you can
> >> >> >> > > compute the quasi-demeaned data by hand (tedious)
> >> and then use
> >> >> >> > > pooled 2SLS. With a "cluster" option the standard
> >> >> errors will be
> >> >> >> > > fully robust.
> >> >> >> > >
> >> >> >> > > Jeff
> >> >> >> > >
> >> >> >> > > -----Original Message-----
> >> >> >> > > From: [email protected]
> >> >> >> > > [mailto:[email protected]] On Behalf
> >> >> >> Of May Ster
> >> >> >> > > Sent: Tuesday, March 08, 2011 2:04 PM
> >> >> >> > > To: [email protected]
> >> >> >> > > Subject: Re: st: RE: Hausman-Taylor and Autocorrelation
> >> >> >> > >
> >> >> >> > > Thank you JW,
> >> >> >> > >
> >> >> >> > > I so far haven't managed to get that version of your MIT
> >> >> >> pressbook
> >> >> >> > > yet. I will try to get one asap.
> >> >> >> > >
> >> >> >> > > However, I am not quite sure what do you mean by firstly
> >> >> >> "Obtain the
> >> >> >> > > quasi-demeaned data using theta (just as with
> >> random effects)"
> >> >> >> > > Does that mean i shall use ...
> >> >> >> > >
> >> >> >> > > xtreg y x1 x2 x3, re
> >> >> >> > >
> >> >> >> > > then what shall then be next steps?.
> >> >> >> > >
> >> >> >> > > I have to apologise if my question is somewhat not too
> >> >> >> advanced as
> >> >> >> > > i'm very new to STATA.
> >> >> >> > > Please help. Thanks.
> >> >> >> > >
> >> >> >> > >
> >> >> >> > >
> >> >> >> > >
> >> >> >> > > On Mon, Mar 7, 2011 at 11:42 AM, Wooldridge, Jeffrey 
> >> >> >> > > <[email protected]> wrote:
> >> >> >> > > >
> >> >> >> > > > Actually, autocorrelation does not cause 
> inconsistency in
> >> >> >> > > the betahats.
> >> >> >> > > > The Hausman-Taylor estimator is a generalized IV 
> >> >> >> > > > estimator
> >> >> >> > > and, like
> >> >> >> > > > GLS, it is consistent even if the second moments are
> >> >> >> > > misspecified. Of
> >> >> >> > > > course, the instruments need to be strictly exogenous.
> >> >> >> > > >
> >> >> >> > > > The main issue is how to obtain robust standard
> >> >> errors for the
> >> >> >> > > > Hausman-Taylor approach. It can be programmed in Stata
> >> >> >> without too
> >> >> >> > > > much trouble, but there is a way to use Stata
> >> commands, too.
> >> >> >> > > > Obtain the quasi-demeaned data using theta (just as
> >> >> with random
> >> >> >> > > effects) and
> >> >> >> > > > then use ivreg on the pooled, quasi-demeaned data.
> >> >> >> > > Clustering at the
> >> >> >> > > > id level then produces valid standard errors.
> >> >> >> > > >
> >> >> >> > > > I discuss this in 2e of my MIT Press book.
> >> >> >> > > >
> >> >> >> > > > JW
> >> >> >> > > >
> >> >> >> > > > -----Original Message-----
> >> >> >> > > > From: [email protected]
> >> >> >> > > > [mailto:[email protected]] On
> >> >> Behalf Of May
> >> >> >> > > > Ster
> >> >> >> > > > Sent: Sunday, March 06, 2011 8:13 PM
> >> >> >> > > > To: [email protected]
> >> >> >> > > > Subject: st: Hausman-Taylor and Autocorrelation
> >> >> >> > > >
> >> >> >> > > > Dear all,
> >> >> >> > > >
> >> >> >> > > > Under the panel framework,I've used the
> >> Hausman-Taylor as an
> >> >> >> > > > estimator. However, i can't find the way to check
> >> >> >> whether there's
> >> >> >> > > > autocorrelation in residual after using -xthtaylor-.
> >> >> >> > > >
> >> >> >> > > >
> >> >> >> > > > If i'm not wrong, if autocorrelation is the case here, 
> >> >> >> > > > the
> >> >> >> > > estimates
> >> >> >> > > > i've obtained so far are not consistent. And, i have to
> >> >> >> > > find a way to
> >> >> >> > > > tackle that later.
> >> >> >> > > >
> >> >> >> > > > Please help. Thanks.
> >> >> >> > > > *
> >> >> >> > > > *   For searches and help try:
> >> >> >> > > > *   http://www.stata.com/help.cgi?search
> >> >> >> > > > *   http://www.stata.com/support/statalist/faq
> >> >> >> > > > *   http://www.ats.ucla.edu/stat/stata/
> >> >> >> > > >
> >> >> >> > > > *
> >> >> >> > > > *   For searches and help try:
> >> >> >> > > > *   http://www.stata.com/help.cgi?search
> >> >> >> > > > *   http://www.stata.com/support/statalist/faq
> >> >> >> > > > *   http://www.ats.ucla.edu/stat/stata/
> >> >> >> > >
> >> >> >> > > *
> >> >> >> > > *   For searches and help try:
> >> >> >> > > *   http://www.stata.com/help.cgi?search
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> >> >> >> > >
> >> >> >> > > *
> >> >> >> > > *   For searches and help try:
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> >> >> >> > > *   http://www.ats.ucla.edu/stat/stata/
> >> >> >> > >
> >> >> >> >
> >> >> >> >
> >> >> >> > --
> >> >> >> > Heriot-Watt University is a Scottish charity registered
> >> >> >> under charity
> >> >> >> > number SC000278.
> >> >> >> >
> >> >> >> >
> >> >> >> > *
> >> >> >> > *   For searches and help try:
> >> >> >> > *   http://www.stata.com/help.cgi?search
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> >> >> >> >
> >> >> >> > *
> >> >> >> > *   For searches and help try:
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> >> >> >>
> >> >> >> *
> >> >> >> *   For searches and help try:
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> >> >> >> *   http://www.ats.ucla.edu/stat/stata/
> >> >> >>
> >> >> >
> >> >> >
> >> >> > --
> >> >> > Heriot-Watt University is a Scottish charity registered
> >> >> under charity
> >> >> > number SC000278.
> >> >> >
> >> >> >
> >> >> > *
> >> >> > *   For searches and help try:
> >> >> > *   http://www.stata.com/help.cgi?search
> >> >> > *   http://www.stata.com/support/statalist/faq
> >> >> > *   http://www.ats.ucla.edu/stat/stata/
> >> >> >
> >> >>
> >> >> *
> >> >> *   For searches and help try:
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> >> >>
> >> >
> >> >
> >> > --
> >> > Heriot-Watt University is a Scottish charity registered
> >> under charity
> >> > number SC000278.
> >> >
> >> >
> >> > *
> >> > *   For searches and help try:
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> >> >
> >>
> >> *
> >> *   For searches and help try:
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> >>
> >
> >
> > --
> > Heriot-Watt University is a Scottish charity registered 
> under charity 
> > number SC000278.
> >
> >
> > *
> > *   For searches and help try:
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> >
> 
> *
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> 


-- 
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registered under charity number SC000278.


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