On Tue, 11 Jan 2022, JOSE FRANCISCO PERLES RIBES wrote:
Dear Gretl team.
First of all, Happy New Year to the whole list.
Recently reviewing the Wooldridge introductory manual Introductory
Econometrics: A Modern Approach (7 edition) I have seen a thing that has
caught my attention and perhaps could be of interest for the list or an
option as a future feature to add to Gretl.
In Chapter 14 on Panel Data, section 14.3 Correlated Random Effects (CRE)
Wooldridge explains what to me is the Mundlak's (1974) approach to estimate
fixed effect models (i.e to expand the linear panel data model by adding
the between transformation of time-varying variables into the model). The
purpose of Wooldridge is to highlight that coefficients CRE are the same
that coefficients in the fixed in their words "adding the time average x
and using random effects is the same as subtracting the time averages and
using pooled OLS".
One of the benefits of this approach is that as known, by using fixed
effects (within estimator) it is not possible to obtain coefficients on
time constant variables, but the CRE estimator approach rectifies that.
Panel command in Gretl performs the wihin, GLS and between estimators (most
used in practice). Although the approach described would not be very
difficult to implement using the standard panel tools of Gretl, perhaps it
would be a nice possibility to implement a command or an option in the
panel command to perform this approach.
Thanks, José, this is a nice suggestion. If I'm not mistaken, you're
suggesting to have an option to the "panel" command ("--mundlak",
maybe?)
that does more or less the following:
<hansl>
open abdata.gdt
Ind7 = IND == 7 # a time-invariant dummy, just for the example
list X = w k ys Ind7
list Mundlak = null
loop foreach i X
if !isconst($i, 0)
series ta_$i = pmean($i)
Mundlak += ta_$i
endif
endloop
panel n const X Mundlak --random
### check that \hat{\beta} is in fact what you get from FE
panel n const X Mundlak --fixed-effects
</hansl>
Is my understanding correct?
-------------------------------------------------------
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
-------------------------------------------------------