On Wed, 30 Mar 2011, Jean-Baptiste Combes wrote:
I have been using Gretl recently to estimate proportion of staff, I
have
three groups and the sum of the three proportion equals to 1. According to
Wooldridge (2002) this can of "share" systems can be estimated by SUR models
with Feasible GLS estimation (p. 167). Accordingly I can remove one
equation.
This is one of the models I estimate
"Skill-Mix Gap" <- system
equation pNHDfteHT2 const cvnbbeds avgnbbeds nbhospital Found TypeHT_1
TypeHT_2 TypeHT_4 TypeHT_5 gapNCo0305recod gapHCo0305recod gapMCo0305recod
equation pHDNfteHT2 const cvnbbeds avgnbbeds nbhospital Found TypeHT_1
TypeHT_2 TypeHT_4 TypeHT_5 gapNCo0305recod gapHCo0305recod gapMCo0305recod
endog pNHDfteHT2 pHDNfteHT2
instr const cvnbbeds avgnbbeds nbhospital Found TypeHT_1 TypeHT_2 TypeHT_4
TypeHT_5 gapNCo0305recod gapHCo0305recod gapMCo0305recod
end system
estimate "Skill-Mix Gap" method=sur --iterate
The estimation is computed, no problems
I put iterate but the estimation is done with just one iteration. In the
command GRETL reference book I read that with iterate the estimation is the
maximum likelihood one.
I am completely lost because I would like to know how does that work, I
would prefer to have FGLS as in Wooldridge (my reference book in
econometrics).
Non-iterated SUR is FGLS; the --iterate flag calls for iteration
of FGLS to the ML solution. However it appears you have identical
regressors in your two equations, in which case FGLS is equivalent
to equation-by-equation OLS -- so it's not surprising that only
one iteration is taken. See for example the System chapter
in William Greene's Econometric Analysis.
I notice that your system contains "endog" and "instr"
specifications. These will be ignored in estimation via SUR, which
is not a full-blown "simultaneous equations" estimator: the
"system" aspect of SUR is just recognition of the cross-equation
correlation of the error terms.
Allin Cottrell