I am running a model in which I want to check the substantive effect of the different independent variables. I know my corevar is statistically significant and it confirms my theoretical expectation but I'd like to engage in a discussion regarding its importance in comparison to other determinants well established to be important.

To that end, I re-estimate my model after standardising the continuous variables (using the center command) and leave my categorical and dummy variables untouched. I am surprised that there is no change in the size of the coefficient values which makes me think I’m running the standardised model incorrectly. The code I am using is attached below as is example data.

I assume that I shouldn't be standardising the dummies or the country and year fixed effects since the size of the "magnitude" is captured from the baseline.

Code:
logit voted i.corevar i.gender age i.ethnic eduyrs swi religious i.domicil swd econview politic_interest i.extreme lrscale i.cntryID i.year if fulldata==1 & identifier==1 [pw=weight], robust cluster(cntry)

center age eduyrs swi religious swd econview politic_interest lrscale [pw=weight] if fulldata==1 & identifier==1

logit voted i.corevar i.gender c_age i.ethnic c_eduyrs c_swi c_religious i.domicil c_swd c_econview c_politic_interest i.extreme c_lrscale i.cntryID i.year if fulldata==1 & identifier==1 [pw=weight], robust cluster(cntry)
Code:
* Example generated by -dataex-. To install: ssc install dataex
clear
input float(voted corevar) double(gender agea) float ethnic double(eduyrs swi religious domicil swd econview politic_interest) float extreme double lrscale long cntryID float(year fulldata) double identifier float weight str2 cntry
0 0 0 64 0 12 3  1 3  7  8 1 0  5 1 2002 0 1  .2420854 "AT"
1 0 1 76 0  8 2  8 5  0  0 1 1  . 1 2002 0 1  .2095612 "AT"
1 0 0 63 .  9 3  7 3  5  7 3 0  5 1 2002 0 1 .25660998 "AT"
0 0 0 62 0 12 2  1 3  3  0 3 1  . 1 2002 0 1 .24710792 "AT"
1 0 0 33 0 12 3  5 3  5  4 3 0  5 1 2002 0 0 .12852219 "AT"
1 0 0 38 0 15 3  9 1  5  6 4 0  4 1 2002 0 0 .15444924 "AT"
1 0 1 68 0  6 3  5 4  5  5 2 1  . 1 2002 0 1  .1719059 "AT"
0 0 1  . 0 16 3  8 4  8  6 3 1  1 1 2002 0 1 .27422953 "AT"
1 0 0 31 0 13 4  2 3  6  7 2 0  7 1 2002 0 1  .2577774 "AT"
1 0 1 38 0 22 3  7 1  9  6 4 0  5 1 2002 0 1  .2987177 "AT"
1 0 1 48 0 12 2  5 1  8  6 1 0  4 1 2002 0 1  .3828788 "AT"
1 0 1 56 0  9 3  7 5  6  6 2 0  6 1 2002 0 1  .4570764 "AT"
1 0 1 73 0 11 3  8 4  9  7 2 0  5 1 2002 0 1  .2252532 "AT"
1 0 1 44 0 18 4  7 2  7  3 3 0  5 1 2002 0 1 .29472685 "AT"
1 0 0 24 0 11 4  7 4  7  5 4 0  6 1 2002 0 0 .29372233 "AT"
1 0 0 50 0 10 4  0 4  7  8 3 0  6 1 2002 0 1  .2444745 "AT"
1 0 1 76 0 11 3  8 1  8  8 2 0  6 1 2002 0 0 .13989751 "AT"
1 0 1 43 0 13 4  7 3  3  4 4 0  5 1 2002 0 1  .2252532 "AT"
1 0 0 51 . 12 4  5 4  0  0 2 1 10 1 2002 0 0 .09931013 "AT"
1 0 0 42 0 10 2  7 1  2  5 3 1  . 1 2002 0 1  .3089256 "AT"
1 0 1 77 0 11 3  5 4 10  2 1 1  9 1 2002 0 1 .18759787 "AT"
1 0 0 50 0 11 3  5 3  5  4 3 0  5 1 2002 0 1  .6195073 "AT"
1 0 1 30 0 12 3  5 4  4  2 1 1  . 1 2002 0 0 .50263196 "AT"
1 0 0 48 0 13 3  7 4  4  4 2 1  . 1 2002 0 1  .4655739 "AT"
1 0 1 74 0 18 4  7 1  .  7 4 0  7 1 2002 0 0 .13873011 "AT"
1 0 0 37 0 13 4  5 4  4  5 3 0  3 1 2002 0 1 .29616573 "AT"
0 0 0 41 0 11 3  8 4  5  . 2 1  0 1 2002 0 0 .09431476 "AT"
1 0 0 63 1 12 3  8 3  6  6 3 0  5 1 2002 0 0 .12102913 "AT"
1 0 0 24 0 13 3  2 3  9  6 3 0  4 1 2002 0 1  .2420854 "AT"
1 0 0 84 0  8 3  9 2  5  4 2 0  5 1 2002 0 0 .14730912 "AT"
1 0 1 67 0 14 4  5 3  4  7 3 0  7 1 2002 0 1 .27420238 "AT"
. 0 0 49 1 12 2 10 2 10 10 2 0  6 1 2002 0 1  .5663772 "AT"
1 0 0 65 0 12 3  5 4  5  6 2 1  2 1 2002 0 1   .331622 "AT"
. 0 0 17 0 11 4  3 5  6  4 2 0  5 1 2002 0 0  .3150069 "AT"
1 0 0 42 0  9 3 10 3  5  0 2 0  5 1 2002 0 1  .3771776 "AT"
1 0 0 59 0 19 3  5 4  1  4 3 1  . 1 2002 0 1 .18759787 "AT"
0 0 0 25 0 17 4  3 1  5  5 2 0  6 1 2002 0 0 .13101988 "AT"
1 0 0 48 0 12 3  5 2  5  4 4 0  7 1 2002 0 1 .25525254 "AT"
1 0 1 62 0 10 3  3 2  9  7 4 1  2 1 2002 0 0 .12219653 "AT"
1 0 1 47 0 15 4  8 4  5  6 3 0  5 1 2002 0 1 .32146835 "AT"
1 0 1 66 0 12 1  7 4  5  5 3 0  5 1 2002 0 1  .4328325 "AT"
1 0 1 44 0 13 1  7 1  9  5 1 0  3 1 2002 0 1  .2620669 "AT"
1 0 0 47 0 16 3  1 4  5  3 2 1  2 1 2002 0 0  .2439858 "AT"
1 0 0 45 0 19 2  6 4  2  3 3 1  8 1 2002 0 0 .20920826 "AT"
1 0 0 68 0  8 3  5 4 10  7 2 1  8 1 2002 0 1 .16520014 "AT"
1 0 1 21 0 12 3  7 4  0  . 3 1  0 1 2002 0 0  .4336199 "AT"
1 0 1 33 1 22 3  5 1  8  7 3 0  5 1 2002 0 0 .12762627 "AT"
. 0 0 18 1 12 3  5 3  4  7 3 0  5 1 2002 0 0  .3036045 "AT"
1 0 1 52 0 11 4  3 3  1  2 2 0  3 1 2002 0 1 .20280117 "AT"
0 0 1 38 0 14 4  0 2  6  8 3 0  5 1 2002 0 1  .2845732 "AT"
1 0 1 21 0 14 3  4 4  5  6 2 0  3 1 2002 0 0  .8539368 "AT"
1 0 1 20 0 12 2  1 4  8  4 1 1  . 1 2002 0 0 .12662177 "AT"
1 0 1 61 0  8 3  8 4  6  5 4 1  . 1 2002 0 1 .18447576 "AT"
1 0 1 53 0 11 3  6 4  7  7 4 0  5 1 2002 0 1  .3045004 "AT"
1 0 0 59 0  9 2  5 4  3  3 2 1  . 1 2002 0 0 .09882145 "AT"
1 0 1 61 0 14 3  6 4  8  6 3 0  6 1 2002 0 1  .2063305 "AT"
0 0 0 21 0 14 4  7 2  7  6 1 0  4 1 2002 0 0   .426344 "AT"
1 0 1 65 0  9 3  6 4  9  9 2 1  8 1 2002 0 1  .5275817 "AT"
1 0 1 63 1 18 3  5 1  6  5 3 0  3 1 2002 0 1  .4127696 "AT"
0 0 0 84 0  8 1  9 2  .  3 1 0  5 1 2002 0 0 .12561727 "AT"
1 0 0 85 0 10 3  8 4  7  5 2 1  . 1 2002 0 0 .09966306 "AT"
. 0 1 33 1  6 1  8 2  .  . 2 1  . 1 2002 0 1 .25424805 "AT"
0 0 0 20 0 12 4  1 1  4  1 1 0  4 1 2002 0 0  .3042832 "AT"
1 0 1 41 0 12 3  8 2  4  3 3 0  5 1 2002 0 0 .10712897 "AT"
1 0 1 41 0 16 3  0 4  8  8 2 0  5 1 2002 0 1  .3798653 "AT"
1 0 1 65 0 12 3  3 2  0  0 2 0  4 1 2002 0 1 .27979502 "AT"
1 0 0 35 0 20 4  0 1 10  8 4 0  4 1 2002 0 1  .2677681 "AT"
1 0 1 56 0  . 3  5 4  7  7 3 0  5 1 2002 0 1 .20641196 "AT"
0 0 1 23 0 13 4  0 4  .  . 1 1 10 1 2002 0 0 .09936443 "AT"
1 0 1 70 0  8 2  9 4  6  5 1 1  . 1 2002 0 1  .6423666 "AT"
1 0 1 46 0 16 3  0 3  7  5 4 0  5 1 2002 0 0 .13710119 "AT"
0 0 0 50 0  9 3  2 4  6  3 1 0  5 1 2002 0 1  .3150069 "AT"
1 0 1 55 0  8 2  0 4  3  8 2 0  5 1 2002 0 1 .21960625 "AT"
1 0 1 29 1 12 2 10 1  7  8 3 1  . 1 2002 0 0 .13101988 "AT"
. 0 0 35 0 16 2  5 3  5  7 4 0  5 1 2002 0 1  .3101473 "AT"
1 0 0 23 0 12 1  3 3  5  3 1 0  4 1 2002 0 0 .12852219 "AT"
1 0 0 63 0 12 2  5 1  4  3 3 1  2 1 2002 0 0 .15154433 "AT"
0 0 1 53 0 19 3  5 1  3  7 4 0  5 1 2002 0 1  .6062316 "AT"
1 0 1 38 0 12 4  3 3  7  6 3 0  5 1 2002 0 1 .25392225 "AT"
1 0 1 25 0 18 4  3 1  .  5 2 1  8 1 2002 0 0 .13873011 "AT"
1 0 0 42 0  9 3  4 3  8  8 2 0  6 1 2002 0 0 .24846536 "AT"
1 0 1 73 0  9 3  2 1  7  6 2 0  4 1 2002 0 1  .3089256 "AT"
1 0 0 62 0 13 3  5 1  0  0 3 0  5 1 2002 0 0 .13194293 "AT"
1 0 0 79 1  8 3  8 2  7  8 2 1  . 1 2002 0 0 .13989751 "AT"
1 0 1 40 0 12 3  6 4 10  5 3 0  5 1 2002 0 1  .3045004 "AT"
1 0 1 55 0 18 4  0 3  8  9 1 1  8 1 2002 0 1 .25126168 "AT"
1 0 0 55 0 10 3  4 1  8  7 2 1  2 1 2002 0 0 .15444924 "AT"
1 0 0 36 1  9 3  7 4  0  3 3 0  6 1 2002 0 1  .2479224 "AT"
1 0 1 56 0 15 3  7 4  6  5 2 0  4 1 2002 0 1  .2479767 "AT"
1 0 1 71 0 18 4  7 3  6  6 4 0  7 1 2002 0 0 .13710119 "AT"
1 0 1 60 0 12 4  8 4  8  6 4 0  6 1 2002 0 1  .4959534 "AT"
1 0 1 68 0  8 4  4 2  7  7 4 1  2 1 2002 0 1 .25424805 "AT"
1 0 0 24 0 16 4  4 1  5  3 3 0  3 1 2002 0 1  .3139753 "AT"
0 0 1 62 0 12 3  2 4  4  4 3 0  7 1 2002 0 1  .2179773 "AT"
0 0 1 23 0  9 3  4 4  7  7 3 1  0 1 2002 0 0 .13951743 "AT"
1 0 0 63 0 20 3 10 2  2  4 4 1  0 1 2002 0 1  .3042832 "AT"
0 0 0 58 0 11 4  8 1  0  7 1 0  5 1 2002 0 0  .1422866 "AT"
1 0 1 66 0 11 2  8 3  .  5 3 0  4 1 2002 0 0 .09670385 "AT"
1 0 0 38 0 13 3  5 3  5  7 3 0  5 1 2002 0 0 .12778917 "AT"
1 0 0 53 0 11 4  0 1  4  6 2 0  7 1 2002 0 1  .3042832 "AT"
end
label values gender gender
label def gender 0 "Female", modify
label def gender 1 "Male", modify
label values agea agea
label values eduyrs eduyrs
label values swi swi
label def swi 1 "Very difficult on present income", modify
label def swi 2 "Difficult on present income", modify
label def swi 3 "Coping on present income", modify
label def swi 4 "Living comfortably on present income", modify
label values religious rlgdgr
label def rlgdgr 0 "Not at all religious", modify
label def rlgdgr 1 "1", modify
label def rlgdgr 2 "2", modify
label def rlgdgr 3 "3", modify
label def rlgdgr 4 "4", modify
label def rlgdgr 5 "5", modify
label def rlgdgr 6 "6", modify
label def rlgdgr 7 "7", modify
label def rlgdgr 8 "8", modify
label def rlgdgr 9 "9", modify
label def rlgdgr 10 "Very religious", modify
label values domicil domicil
label def domicil 1 "A big city", modify
label def domicil 2 "Suburbs or outskirts of big city", modify
label def domicil 3 "Town or small city", modify
label def domicil 4 "Country village", modify
label def domicil 5 "Farm or home in countryside", modify
label values swd stfdem
label def stfdem 0 "Extremely dissatisfied", modify
label def stfdem 1 "1", modify
label def stfdem 2 "2", modify
label def stfdem 3 "3", modify
label def stfdem 4 "4", modify
label def stfdem 5 "5", modify
label def stfdem 6 "6", modify
label def stfdem 7 "7", modify
label def stfdem 8 "8", modify
label def stfdem 9 "9", modify
label def stfdem 10 "Extremely satisfied", modify
label values econview stfeco
label def stfeco 0 "Extremely dissatisfied", modify
label def stfeco 1 "1", modify
label def stfeco 2 "2", modify
label def stfeco 3 "3", modify
label def stfeco 4 "4", modify
label def stfeco 5 "5", modify
label def stfeco 6 "6", modify
label def stfeco 7 "7", modify
label def stfeco 8 "8", modify
label def stfeco 9 "9", modify
label def stfeco 10 "Extremely satisfied", modify
label values politic_interest politic_interest
label def politic_interest 1 "Not at all interested", modify
label def politic_interest 2 "Hardly Interested", modify
label def politic_interest 3 "Quite Interested", modify
label def politic_interest 4 "Very interested", modify
label values lrscale lrscale
label def lrscale 0 "Left", modify
label def lrscale 1 "1", modify
label def lrscale 2 "2", modify
label def lrscale 3 "3", modify
label def lrscale 4 "4", modify
label def lrscale 5 "5", modify
label def lrscale 6 "6", modify
label def lrscale 7 "7", modify
label def lrscale 8 "8", modify
label def lrscale 9 "9", modify
label def lrscale 10 "Right", modify
label values cntryID cntryID
label def cntryID 1 "AT", modify
label values identifier partner
label def partner 1 "Lives with husband/wife/partner at household grid", modify