Hello everyone,

I am working on my thesis project but having some difficulties in interpreting the results of my FE analysis of my state-wise data.

Dependent variable: ln( Energy use)

Independent variable: ln(GDP) , ln(GDP)^2, Gini coefficient, Gini coefficient^2, ln(GDP*Gini)

Model: ln(energy use) = a + b1 ln(GDP) + b2 ln(GDP)^2 + b3 Gini coefficient + b4 Gini coefficient^2 + b5 ln(GDP*Gini)

panel variable: state_number (strongly balanced)
time variable: year, 2004 to 2012
delta: 1 unit
I did a FE analysis using different states as a dummy variable.

code: xtreg $ylist $xlist i.state_number


Random-effects GLS regression Number of obs = 135
Group variable: state_number Number of groups = 15

R-sq: Obs per group:
within = 0.8419 min = 9
between = 1.0000 avg = 9.0
overall = 0.9918 max = 9

Wald chi2(19) = 13826.99
corr(u_i, X) = 0 (assumed) Prob > chi2 = 0.0000

------------------------------------------------------------------------------
l_eu | Coef. Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
l_gdp | 3.360092 .8762143 3.83 0.000 1.642743 5.07744
l_gdp2 | -.092467 .0331348 -2.79 0.005 -.15741 -.0275241
gini | -.6812795 1.920274 -0.35 0.723 -4.444948 3.082389
gini2 | 9.712477 2.420367 4.01 0.000 4.968644 14.45631
log_gdpgini | -1.489559 .6413677 -2.32 0.020 -2.746617 -.2325017
|
state_number |
2 | -1.039754 .0409396 -25.40 0.000 -1.119994 -.959514
3 | -1.144571 .0526478 -21.74 0.000 -1.247759 -1.041383
4 | -.0206329 .0472276 -0.44 0.662 -.1131972 .0719314
5 | -.5005709 .0408877 -12.24 0.000 -.5807092 -.4204325
6 | -.6776476 .0336392 -20.14 0.000 -.7435793 -.6117159
7 | -1.489759 .040165 -37.09 0.000 -1.568481 -1.411037
8 | -.2914758 .0322481 -9.04 0.000 -.3546809 -.2282707
9 | -.6035547 .0485955 -12.42 0.000 -.6988001 -.5083092
10 | .3899714 .0296466 13.15 0.000 .3318652 .4480776
11 | -.4560246 .0437985 -10.41 0.000 -.541868 -.3701812
12 | -.5504803 .0378529 -14.54 0.000 -.6246706 -.4762901
13 | -.41948 .0491892 -8.53 0.000 -.515889 -.323071
14 | .2451028 .0312645 7.84 0.000 .1838254 .3063801
15 | -1.279533 .0313241 -40.85 0.000 -1.340927 -1.218139
|
_cons | -5.007779 2.186301 -2.29 0.022 -9.292851 -.7227068
-------------+----------------------------------------------------------------
sigma_u | 0
sigma_e | .06231983
rho | 0 (fraction of variance due to u_i)
------------------------------------------------------------------------------

I know how to interpret the b coefficients but I don't know how can I use this to explain the differences in each state.

Can someone help me? I am stuck in this for months.