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# st: RE: Kleinbargen Paap

 From "Schaffer, Mark E" To Subject st: RE: Kleinbargen Paap Date Tue, 27 Mar 2012 15:03:39 +0100

```Karan,

It's a tricky question.  The Stock-Yogo critical values can be used with
the Cragg-Donald statistic, but the theory assumes iid etc.

The Kleibergen-Paap statistic generalizes the C-D stat to cover things
like heteroskedasticity, but it has only an asymptotic justification.
That is, you can use it for testing for underidentification - like the
original use of the C-D stat, Anderson's test, etc.  But as far as I
know, nobody has worked out the theory, critical values, etc., for using
it to test for weak identification.

The only thing I can suggest is to use the Stock-Yogo critical values
anyway and just be cautious about interpreting the results.

BTW, you refer to the first-stage F-stat.  In the special case of a
single endogenous regressor, the Kleibergen-Paap statistic is
numerically equivalent to a robust first-stage F-stat.

HTH,
Mark

> -----Original Message-----
> From: owner-statalist@hsphsun2.harvard.edu
> [mailto:owner-statalist@hsphsun2.harvard.edu] On Behalf Of
> Karan Nagpal
> Sent: 27 March 2012 14:34
> To: statalist@hsphsun2.harvard.edu
> Subject: st: Kleinbargen Paap
>
> Suppose I have one endogenous variable and I am using two instruments.
> I suspect there's heteroskedasticity, so the Cragg-Donald
> test doesn't work, right?
>
> Hence, I rely on the Kleinbargen-Paap test statistic,
> obtained using the ivreg2 command. Am I right in assuming
> that the null of the KP test is "instruments are weak?"
>
> The statistic for the (Kleibergen-Paap rk Wald F statistic) is 29.356.
> Do I compare this with the Stock-Yogo thresholds or with the
> first-stage F-statistic, to test the null?
>
> Thanks,
> Karan
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