Am 03.07.2013 um 11:34 schrieb "Riccardo (Jack) Lucchetti"
<r.lucchetti(a)univpm.it>:
>> Have you already thought about incorporating a
'collapse' switch?
>
> Which would do what, exactly?
The 'collapse' switch is, as far as I know, a clever invention by the
Stata-oriented guys (I believe Roodman himself). In a nutshell, it's a way to reduce
the number of over-identifying restrictions without sacrificing the main idea, so to
speak.
For example, imagine you have a DIF-GMM estimator with T=4: you could use 3 orthogonality
conditions
a. \Delta e_{3,i} y_{1,i}
b. \Delta e_{4,i} y_{1,i}
c. \Delta e_{4,i} y_{2,i}
or you could put together a. and c. as
\Delta e_{t,i} y_{t-2,i}
and go down to 2. This means, in practice, that certain matrices get 'compressed'
by squeezing out zeros.
> From a statistical point of view, this amounts to making some extra
assumptions on the variance of disturbances, compared to ordinary GMM.
At the moment I'm not sure what these are. But it should be mild ones, or?
> From a practical point of view, this is often innocuous, although
it leads
to different results in practice, where the differences should be small for very large N
if the model is well specified. From the regression monkey's point of view, this is a
great invention, because it multiplies the number of legitimate ways in which you can run
the same model, thus giving you a few more chances to have the little stars in the output
appear exactly where you want them.
Nice :-)
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Riccardo (Jack) Lucchetti
Dipartimento di Scienze Economiche e Sociali (DiSES)
Università Politecnica delle Marche
(formerly known as Università di Ancona)
r.lucchetti(a)univpm.it
http://www2.econ.univpm.it/servizi/hpp/lucchetti
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