I would appreciate any help on this issue. Thank you so much. I am running an IV regression using the command below. I instrument using dummies for France, UK, Germany and Scandanavia legal origin. I omit the dummy for Scandanavia in the analysis below because each country either has a legal origin from one of these regions and I would have multicollinearity otherwise. This is what I have done in stata
. ivregress 2sls newgdpgrowth loginitialincome logsse Govtexp_GDP Inflation_CPI Trade_GDP (LLY_KL93 = legor_uk legor_fr legor_ge)
Instrumental variables (2SLS) regression Number of obs = 51
Wald chi2(6) = 24.44
Prob > chi2 = 0.0004
R-squared = 0.3390
Root MSE = 1.2635
----------------------------------------------------------------------------------
newgdpgrowth | Coef.
-----------------+----------------------------------------------------------------
LLY_KL93 | .0093698
loginitialincome | -.5764283
logsse | 1.066066
Govtexp_GDP | -.0374744
Inflation_CPI | -.0029508
Trade_GDP | .0070273
_cons | 5.664811
----------------------------------------------------------------------------------
Instrumented: LLY_KL93
Instruments: loginitialincome logsse Govtexp_GDP Inflation_CPI Trade_GDP
legor_uk legor_fr legor_ge
If I change the instrumental dummies and omit uk instead of scandanavia, I get a different coefficient which would be interpreted differently. As a result, how would I interpret the LLY_KL93 coefficient having omitted a certain region from the instrumental regression?
. ivregress 2sls newgdpgrowth loginitialincome logsse Govtexp_GDP Inflation_CPI Trade_GDP (LLY_KL93 = legor_uk legor_fr legor_ge)
Instrumental variables (2SLS) regression Number of obs = 51
Wald chi2(6) = 24.44
Prob > chi2 = 0.0004
R-squared = 0.3390
Root MSE = 1.2635
----------------------------------------------------------------------------------
newgdpgrowth | Coef.
-----------------+----------------------------------------------------------------
LLY_KL93 | .0093698
loginitialincome | -.5764283
logsse | 1.066066
Govtexp_GDP | -.0374744
Inflation_CPI | -.0029508
Trade_GDP | .0070273
_cons | 5.664811
----------------------------------------------------------------------------------
Instrumented: LLY_KL93
Instruments: loginitialincome logsse Govtexp_GDP Inflation_CPI Trade_GDP
legor_uk legor_fr legor_ge
If I change the instrumental dummies and omit uk instead of scandanavia, I get a different coefficient which would be interpreted differently. As a result, how would I interpret the LLY_KL93 coefficient having omitted a certain region from the instrumental regression?