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st: interpretation of fixed effects model with time-variant covariates and interaction term
From
Ferdinand Eibl <[email protected]>
To
"[email protected]" <[email protected]>
Subject
st: interpretation of fixed effects model with time-variant covariates and interaction term
Date
Mon, 8 Oct 2012 11:14:24 +0000
Dear Statalist,
We have estimated a Lagged Dependent Variable (LDV) model with fixed effects for authoritarian regimes (with the following equation: Yit=β0 + β1Yit-1+ β2Growth+ β3Regime Type*Growth+ β4Xit+Ni+ εit). The model tries to estimate the effect of growth on social spending p.c. in different autocratic regimes. In the estimation, we used interaction terms between regime types and economic growth and omitted the different regime types from the equation as they are perfectly collinear with the regime fixed effects. As we now want to interpret our results, we were wondering how to calculate the marginal effects. More generally, we were also unsure whether, from our results table below , we could conclude that there is a significant difference between different regime types. Please note that party regime is the reference category. Any kind of recommendations and hints would be highly appreciated.
Kind regards,
Ferdinand
STATA COMMAND
xi: xtpcse welfare_pc lagwelfare_pc monarchy_growth personal_growth military_growth ln_cgdp GDPgrowthpc openc debtservice direct_tax_gdp ln_aid_pc ln_rents_pc urbanpop dependency polity deficit_gdp imf defence_pc gwf_duration i.regime, pairwise correlation(psar1)
RESULTS
------------------------------------------------------------------------------
| Panel-corrected
welfare_pc | Coef. Std. Err. z P>|z| [90% Conf. Interval]
-------------+----------------------------------------------------------------
lagwelf~e_pc | .5927318 .1177409 5.03 0.000 .3990653 .7863982
monarchy_growthh | -196.9249 70.88603 -2.78 0.005 -313.5221 -80.32778
personal_growthh | -112.8295 58.188 -1.94 0.052 -208.5402 -17.11872
military_growth | -175.469 69.33548 -2.53 0.011 -289.5157 -61.42223
ln_cgdp | 33.54026 30.56969 1.10 0.273 -16.74241 83.82293
growth | 173.2595 65.48369 2.65 0.008 65.54841 280.9706
openc | .6272041 .1929411 3.25 0.001 .3098441 .944564
debtservice | .2663759 .6796557 0.39 0.695 -.8515582 1.38431
direct_tax~p | -5.630332 262.5316 -0.02 0.983 -437.4564 426.1958
ln_aid_pc | 3.78063 4.304718 0.88 0.380 -3.3 10.86126
ln_rents_pc | -2.575868 1.401622 -1.84 0.066 -4.881331 -.2704041
urbanpop | 3.645545 3.535471 1.03 0.302 -2.169788 9.460878
dependency | -8.524525 2.860049 -2.98 0.003 -13.22889 -3.820163
polity | -1.634748 .9341539 -1.75 0.080 -3.171294 -.0982013
deficit_gdp | -32.23502 57.8288 -0.56 0.577 -127.3549 62.88489
imf | -4.356364 3.477033 -1.25 0.210 -10.07557 1.362846
defence_pc | .8791647 .1779755 4.94 0.000 .586421 1.171908
gwf_duration | -1.545701 1.846139 -0.84 0.402 -4.58233 1.490927
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