Sorry in my previous post I confused the endogenous and Exogenus variables
You are stating that X = { Ψ1,Ψ2, Z1,Z2, Z3, Z4} are uncorrelated with e.
Out of all possible linear combinations of the variables in X that can be
used as an instrument for X1, and X2 You should choose the linear
combinations that are most highly correlated with the endogenous
variables. Thus you should use the entire set for each variable. See for
example section 5.2.3 - Asymptotic Efficiency of Two-Stage Least Squares in
Wooldridge (2012), Econometric Analysis of Cross Section and Panel Data,
MIT. I would presume that this correct approach is taken by Gretl.
John C Frain
3 Aranleigh Park
Rathfarnham
Dublin 14
Ireland
www.tcd.ie/Economics/staff/frainj/home.html
https://jcfrain.wordpress.com/
https://jcfraincv19.wordpress.com/
mailto:frainj@tcd.ie
mailto:frainj@gmail.com
On Thu, 10 Aug 2023 at 19:21, Alecos Papadopoulos <papadopalex(a)aueb.gr>
wrote:
I believe this should be scripted, it is not standard two-stage
least
squares.
Regress X1 on Z1 and Z2 and obtain the fitted values, say X1_f
Regress X2 on Z3 and Z4 and obtain the fitted values, X2_f
Regress Y on a constant and X1_f, X2_f, Ψ1,Ψ2.
Alecos Papadopoulos PhD
Affiliate Researcher
Dpt of Economics, Athens University of Economics and Business
Foundation for Economic and Industrial Research (IOBE)
web:
alecospapadopoulos.wordpress.com/
ORCID:0000-0003-2441-4550
On 10/8/2023 20:21, elfsog(a)yahoo.gr wrote:
> Consider the following 2SLS model:
>
> Y= b0 +b1X1+b2X2+θ1Ψ1+θ2Ψ2+e
> Where:
> Y represents the dependent variable,
> X1, X2 denote the endogenous variables,
> Ψ1,Ψ2 represent the exogenous variables.
>
> To address endogeneity in the model, a set of four instruments, is
introduced. Two instruments (Z1 and Z2) are employed to instrument for X1,
while two other instruments (Z3 and Z4) are used to instrument for X2.
> My question is: How Gretl understand which instrument stands for which
endogenous variable?
> _______________________________________________
> Gretl-users mailing list -- gretl-users(a)gretlml.univpm.it
> To unsubscribe send an email to gretl-users-leave(a)gretlml.univpm.it
> Website:
https://gretlml.univpm.it/postorius/lists/gretl-users.gretlml.univpm.it/
_______________________________________________
Gretl-users mailing list -- gretl-users(a)gretlml.univpm.it
To unsubscribe send an email to gretl-users-leave(a)gretlml.univpm.it
Website:
https://gretlml.univpm.it/postorius/lists/gretl-users.gretlml.univpm.it/