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@NickCH-K
Last active March 20, 2021 16:59
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import pandas as pd
import statsmodels.formula.api as sm
# There is a cem package but it doesn't seem to work that well
# So we will do this by hand
br = pd.read_csv("broockman2013.csv")
# Create bins for our continuous matching variables
# cut creates evenly spaced bins
# while qcut cuts based on quantiles
br['inc_bins'] = pd.qcut(br['medianhhincom'], 6)
br['bp_bins'] = pd.qcut(br['blackpercent'], 6)
# Count how many treated and control observations
# are in each bin
treated = br.loc[br['leg_black'] == 1].groupby(['inc_bins','bp_bins','leg_democrat']).size().to_frame('treated')
control = br.loc[br['leg_black'] == 0].groupby(['inc_bins','bp_bins','leg_democrat']).size().to_frame('control')
# Merge those counts back in
br = br.join(treated, on = ['inc_bins','bp_bins','leg_democrat'])
br = br.join(control, on = ['inc_bins','bp_bins','leg_democrat'])
# For treated obs, weight is 1 if there are any control matches
br['weight'] = 0
br.loc[(br['leg_black'] == 1) & (br['control'] > 0), 'weight'] = 1
# For control obs, weight depends on total number of treated and control
# obs that found matches
totalcontrols = sum(br.loc[br['leg_black']==0]['treated'] > 0)
totaltreated = sum(br.loc[br['leg_black']==1]['control'] > 0)
# Then, control weights are treated/control in the bin,
# times control/treated overall
br['controlweights'] = (br['treated']/br['control'])*(totalcontrols/totaltreated)
br.loc[(br['leg_black'] == 0), 'weight'] = br['controlweights']
# Now, use the weights to estimate the effect
m = sm.wls(formula = 'responded ~ leg_black',
weights = br['weight'],
data = br).fit()
m.summary()
leg_black treat_out responded totalpop medianhhincom black_medianhh white_medianhh blackpercent statessquireindex nonblacknonwhite urbanpercent leg_senator leg_democrat south
0 0 0 1.5873 5.0625 2.6814 2.6586 .0071190069 .227 0 .69560152 0 0 0
0 0 1 1.6218 4.9713 2.7126 2.6619 .0057960288 .227 0 .61807317 0 0 0
0 0 1 1.671 6.9646 2.3087 2.9973 .012028725 .227 0 .82433146 0 0 0
0 0 1 1.6122 4.1811 2.4668 2.4887 .0042798659 .227 1 0 0 0 0
0 1 1 1.5622 3.1152 2.149 2.0597 .0082575846 .227 1 0 0 1 0
0 1 0 1.6236 6.0678 1.9856 2.7017 .011825573 .227 0 .35832295 0 0 0
0 1 1 1.6426 5.503 2.409 2.7584 .027030317 .227 0 .38221532 0 1 0
0 0 0 1.6872 4.2315 1.7252 2.406 .097735904 .227 1 .99770617 0 1 0
0 0 1 3.2091 5.0087 2.6918 2.6602 .0064504077 .227 0 .6573261 1 0 0
0 1 0 3.1744 3.6754 2.202 2.3071 .0062373988 .227 1 0 1 1 0
0 0 1 3.2662 5.8125 2.2989 2.7298 .019472169 .227 0 .37083241 1 1 0
0 1 0 3.3567 4.0456 1.5235 2.2835 .11290851 .227 0 .95443571 1 1 0
0 1 0 3.407 5.5846 3.2087 2.3325 .011447021 .227 0 .62120163 1 0 0
0 0 1 3.3792 4.9515 1.761 2.2931 .008463542 .227 0 .12244777 1 0 0
0 1 0 3.293 5.41 1.4079 2.2818 .08050409 .227 0 .98836166 1 0 0
0 0 1 3.466 4.2901 1.6628 2.3829 .12412002 .227 0 1 1 1 0
0 1 0 3.3844 4.8244 2.0547 3.1062 .037140999 .227 0 1 1 1 0
0 1 0 3.2244 8.455500000000001 2.3908 3.6114 .014049125 .227 0 .69135386 1 0 0
0 1 1 3.4233 4.7626 1.4066 2.209 .0057254704 .227 0 .2106583 1 0 0
0 0 1 3.2932 4.8314 1.2305 2.4215 .0094133373 .227 0 .25991404 1 0 0
0 0 1 3.1357 4.3254 2.2469 3.2214 .011512581 .227 1 .19185947 1 1 0
0 0 1 3.1519 4.4779 3.7186 3.8874 .0060598375 .227 1 .34750497 1 1 0
0 1 1 1.6695 3.8003 1.3633 2.159 .12824199 .227 0 .90296727 0 0 0
0 1 1 1.6683 5.7851 1.7406 2.2496 .033447221 .227 0 .62307692 0 0 0
0 0 0 1.6968 4.3898 1.2146 1.9398 .040900517 .227 0 .2055421 0 0 0
0 0 1 1.7041 5.6871 1.9843 2.351 .013203451 .227 0 .46939132 0 0 0
0 0 1 1.7029 5.4751 4.7034 2.3141 .0096893534 .227 0 .77082616 0 0 0
0 1 0 1.6929 4.0152 .7654 2.03 .0065567959 .227 0 .0080593461 0 0 0
0 0 0 1.6863 6.1111 2.3621 2.5495 .010377751 .227 0 .33310845 0 0 0
0 1 1 1.6442 6.9792 2.2971 2.7703 .025848437 .227 0 .99258161 0 0 0
0 1 0 1.7078 4.9759 2.1959 2.5696 .10943905 .227 0 1 0 1 0
0 1 1 1.7065 4.0061 2.0331 2.6596 .042133022 .227 0 1 0 1 0
0 1 1 1.5833 8.450200000000001 2.2822 3.7382 .012568686 .227 0 .42711759 0 0 0
0 1 0 1.7266 4.8717 .9823 2.285 .0066604889 .227 0 .45995894 0 0 0
0 0 1 1.6967 4.6615 2.0187 2.1365 .004773973 .227 0 0 0 0 0
0 0 1 1.7172 4.5087 .6861 2.2073 .0093757277 .227 0 0 0 0 0
0 0 1 1.576 5.3071 1.6831 2.7795 .0094543146 .227 0 .62839425 0 0 0
0 0 1 1.5862 5.0327 2.6942 3.1168 .016139202 .227 1 .086479552 0 1 0
0 1 0 1.5495 3.6341 1.6305 3.4895 .006776379 .227 0 .35089225 0 1 0
0 0 1 1.5952 5.3477 3.8823 4.1449 .0077106319 .227 1 .47610015 0 1 0
0 1 0 4.4706 3.0609 1.1799 2.1431 .17456268 .071000002 0 .90790033 0 1 1
0 1 0 13.1076 3.2937 1.2281 1.9522 .13093168 .071000002 0 .56668013 1 1 1
0 1 0 4.3987 3.6223 1.3431 1.7931 .022529386 .071000002 0 .058811273 0 1 1
0 1 0 13.5065 4.3697 1.571 2.214 .17144337 .071000002 0 .53246087 1 1 1
0 0 1 4.2383 3.2227 1.259 1.9496 .19741406 .071000002 0 .69801927 0 1 1
0 1 0 4.3425 4.2603 1.4539 2.2316 .091928616 .071000002 0 .28248778 0 0 1
0 0 1 12.2938 3.1602 1.4689 1.7015 .044030324 .071000002 0 .18380447 1 1 1
0 1 0 4.1796 3.6065 1.2707 1.9067 .10412481 .071000002 0 .45556059 0 1 1
0 0 0 4.2506 4.0421 1.6493 2.1343 .26822096 .071000002 0 .51484281 0 0 1
0 1 1 12.1893 2.8126 1.0719 1.55 .06370341 .071000002 0 .14131321 1 1 1
0 0 0 4.2636 3.0707 1.5101 1.6812 .11056384 .071000002 0 .064136624 0 1 1
0 1 0 4.2038 3.2728 1.1469 2.1423 .24080592 .071000002 0 .97336179 0 1 1
0 0 0 4.2233 3.6871 1.2148 1.7938 .028011272 .071000002 0 .27163973 0 1 1
0 0 0 4.3911 4.8063 1.6936 2.811 .13085559 .071000002 0 .95283288 0 0 1
0 1 0 4.347 3.4408 .6159 1.7695 .00147228 .071000002 0 .15640998 0 0 1
0 1 0 4.4528 3.1102 1.2582 1.6422 .016843336 .071000002 0 .27610165 0 1 1
0 0 0 4.1403 3.0427 .9883 1.7313 .071975462 .071000002 0 .39996788 0 1 1
0 0 0 4.1924 3.0262 1.0649 1.5616 .039476193 .071000002 0 .00020435271 0 1 1
0 1 0 13.3953 4.4004 1.2279 2.0942 .086724445 .071000002 0 .41270602 1 0 1
0 0 0 4.4664 4.7018 1.0828 2.0802 .061123051 .071000002 0 .35717633 0 0 1
0 1 0 12.863 5.3153 1.5268 3.0392 .082888909 .071000002 0 .63332075 1 0 1
0 1 0 4.1356 3.0824 1.0669 1.5991 .11289777 .071000002 0 .14006533 0 1 1
0 1 1 13.344 6.0316 2.5216 3.5304 .05003747 .071000002 0 .99286389 1 0 1
0 1 0 4.3892 2.7547 .9041 1.554 .028934658 .071000002 0 .10286111 0 1 1
1 0 0 4.3327 3.2206 1.3697 2.0522 .64167839 .071000002 0 .97557539 0 1 1
0 0 0 4.2898 6.8855 3.121 3.7233 .021935755 .071000002 0 .95534533 0 0 1
1 1 0 12.2916 3.1173 1.3995 1.9902 .64886588 .071000002 0 .99382967 1 1 1
0 0 1 4.3601 3.1263 1.1548 2.2547 .27020022 .071000002 0 .90615916 0 1 1
0 1 0 12.2606 3.2745 1.2078 1.8876 .24876434 .071000002 0 .4923062 1 1 1
0 0 0 4.3383 3.7469 1.4273 1.7594 .046239309 .071000002 0 .068127215 0 1 1
0 1 0 4.4492 3.1498 1.2018 1.6858 .042974018 .071000002 0 .29976699 0 1 1
0 0 0 4.5005 3.0949 1.538 1.6981 .016198199 .071000002 0 .16383602 0 0 1
1 1 0 12.184 2.4549 1.0884 2.1717 .61594713 .071000002 0 .46538585 1 1 1
0 1 0 4.3226 6.352 1.8013 2.6138 .14970157 .071000002 0 .79628152 0 0 1
0 0 0 13.3447 4.7176 1.5871 2.6425 .16460468 .071000002 0 .77722168 1 0 1
0 1 0 4.4708 3.0748 .6856 1.6425 .011988905 .071000002 0 .50942594 0 1 1
1 0 1 13.062 2.7894 1.1063 2.2423 .70515233 .071000002 0 .82575828 1 1 1
0 0 1 13.0842 2.9051 1.1533 1.8114 .22731231 .071000002 0 .60719442 1 1 1
0 1 0 4.2275 2.9031 1.2224 1.7327 .16598463 .071000002 0 .7002877 0 1 1
1 1 0 12.8031 2.4144 1.0407 1.8589 .55631059 .071000002 0 .3784084 1 1 1
0 1 0 4.2542 2.7467 .8762 1.6137 .18504067 .071000002 0 .55362165 0 1 1
0 1 0 12.3858 3.4694 1.0707 1.9673 .13978104 .071000002 0 .44844583 1 0 1
0 0 1 4.142 3.8332 1.3301 1.8641 .039690971 .071000002 0 .30090111 0 0 1
0 0 0 12.5752 3.1681 .9866 1.9039 .29811853 .071000002 0 .39011669 1 1 1
0 0 1 4.2517 3.6292 1.1661 1.958 .23541172 .071000002 0 .16671953 0 0 1
1 1 0 4.2279 2.3115 1.0086 1.7136 .58733648 .071000002 0 .67491311 0 1 1
0 0 0 4.292 3.1246 1.1018 1.7961 .2304986 .071000002 0 .43014202 0 0 1
0 0 0 4.456 3.646 1.017 1.6821 .014699283 .071000002 0 .10252981 0 0 1
0 1 0 4.2255 3.561 1.5114 1.8306 .12299136 .071000002 0 .6507414 0 1 1
0 0 1 12.5683 3.2942 1.0477 1.9615 .31398836 .071000002 0 .81994992 1 0 1
0 0 0 4.2656 3.698 1.5671 2.1705 .10071268 .071000002 0 .65805662 0 0 1
0 0 1 4.4308 2.8572 .98 1.549 .22883001 .071000002 0 .1050472 0 1 1
0 0 0 4.442 3.2629 1.0882 1.8732 .29466456 .071000002 0 .50871402 0 0 1
0 1 1 4.4319 3.0394 1.2171 1.5562 .051354948 .071000002 0 0 0 1 1
0 0 0 4.4359 3.2269 1.0151 1.624 .12599473 .071000002 0 .16526182 0 1 1
0 0 0 4.2468 5.0145 1.3797 2.3212 .1289206 .071000002 0 .88618279 0 0 1
0 1 0 4.0951 4.3405 1.6616 2.6128 .20507436 .071000002 0 .92430651 0 0 1
0 1 0 4.4759 6.754 2.3477 3.6775 .047990344 .071000002 0 .97376192 0 0 1
0 1 0 4.5005 5.133 1.9207 3.3151 .067481391 .071000002 0 1 0 0 1
0 1 1 4.4672 6.762 3.2001 4.3525 .033824317 .071000002 0 .89388502 0 0 1
0 1 0 4.4497 4.702 1.2496 2.1161 .095669374 .071000002 0 .63450509 0 0 1
0 1 0 4.1834 3.9341 1.1619 1.8947 .097337097 .071000002 0 .074803382 0 0 1
0 0 0 4.4517 4.5166 1.1434 2.0746 .065592922 .071000002 0 .65380007 0 0 1
1 1 0 4.2534 3.0512 1.3355 3.2353 .64901018 .071000002 0 .9765119 0 1 1
1 0 0 4.0627 2.9258 1.2197 1.8468 .67046547 .071000002 0 .92433566 0 1 1
1 0 0 4.049 3.1491 1.4047 1.9055 .62479627 .071000002 0 .99994051 0 1 1
1 1 0 4.0572 2.3721 1.1776 1.6224 .62437147 .071000002 0 .97531855 0 1 1
0 0 1 4.0583 3.1691 .9641999999999999 2.0425 .30199838 .071000002 0 .37803108 0 1 1
0 1 0 4.4439 4.0458 1.5341 1.9092 .17828934 .071000002 0 .47135165 0 0 1
0 1 0 4.4421 3.5413 1.605 2.4947 .21032844 .071000002 0 .88794291 0 0 1
0 1 0 4.0864 3.1733 .8463000000000001 1.7398 .24591328 .071000002 0 .26266494 0 0 1
0 1 1 4.0719 3.0546 1.0609 1.7318 .25838062 .071000002 0 .40136287 0 0 1
1 1 0 4.0714 2.2458 .8648 2.1688 .62720442 .071000002 0 .5907349 0 1 1
1 1 0 4.0771 2.2538 .8818 1.9871 .61457896 .071000002 0 .1769117 0 1 1
1 0 0 4.0635 2.372 .8914 2.0577 .64673311 .071000002 0 .026816703 0 1 1
1 0 0 4.2666 2.1912 1.4255 1.6853 .62072843 .071000002 0 .97453809 0 1 1
1 0 1 4.0493 2.2145 .8607 2.376 .63413429 .071000002 0 .15434921 0 1 1
1 0 0 4.2343 2.3318 .8265 1.8005 .59924901 .071000002 0 .092987888 0 1 1
0 1 0 4.1517 5.0973 1.8586 3.455 .267818 .071000002 0 .96393156 0 0 1
0 1 0 4.1084 3.876 1.3068 2.2088 .16169311 .071000002 0 .99978578 0 0 1
0 0 0 4.4147 5.3226 1.3061 2.5793 .20268649 .071000002 0 .62710911 0 0 1
1 0 0 4.1451 3.2273 1.2755 2.4052 .72372198 .071000002 0 .681445 0 1 1
1 1 0 4.1303 2.399 .9026 2.3638 .68762559 .071000002 0 .96192056 0 1 1
1 1 0 4.0879 2.3562 1.0123 1.7924 .71611333 .071000002 0 .76805395 0 1 1
0 0 0 4.466 3.2217 1.3727 2.007 .11258397 .071000002 0 .7811141 0 0 1
0 0 0 4.4403 3.6697 1.2558 1.8193 .18354616 .071000002 0 .82783198 0 1 1
1 0 0 4.4441 1.7376 1.2094 1.5101 .61742532 .071000002 0 .57648188 0 1 1
1 0 0 4.0642 2.4406 1.03 1.7593 .6038335 .071000002 0 .59250224 0 1 1
0 1 0 4.1805 2.4457 .821 1.7701 .51534504 .071000002 0 .29323047 0 1 1
1 1 0 4.2124 2.5866 1.0567 1.814 .47153646 .071000002 0 .53898841 0 1 1
0 0 0 4.2629 3.4783 1.0626 1.8478 .14124188 .071000002 0 .41854835 0 0 1
0 1 0 4.0736 3.2506 1.0015 2.0746 .090215042 .071000002 0 .3588213 0 0 1
0 1 0 4.4774 4.3978 1.11 2.047 .15173985 .071000002 0 .68028468 0 0 1
0 0 0 4.3406 2.6691 .947 1.7715 .3275584 .071000002 0 .4111917 0 1 1
0 0 1 4.084 2.5414 1.02 1.7918 .34321743 .071000002 0 .12638117 0 1 1
0 0 0 4.4379 3.3664 1.1802 2.0377 .18348768 .071000002 0 .44497657 0 1 1
0 0 1 4.0703 2.6462 1.0888 1.6139 .12883571 .071000002 0 .26214224 0 1 1
0 0 0 4.3453 3.6348 1.1172 2.0323 .16818172 .071000002 0 .48514545 0 0 1
0 1 0 4.3598 4.1259 1.0835 2.1936 .077205375 .071000002 0 .51405686 0 0 1
0 1 0 4.3563 4.4314 1.3196 2.3708 .10513509 .071000002 0 .91323 0 0 1
1 0 0 4.2918 2.5325 1.0241 1.8166 .63497835 .071000002 0 .863424 0 1 1
0 0 0 4.3839 3.6644 1.285 1.5759 .11439586 .071000002 0 .17722984 0 0 1
0 0 0 4.4385 4.3785 1.6147 2.2467 .10449477 .071000002 0 .88467872 0 0 1
0 0 0 4.1566 3.5543 1.1835 1.6111 .090169847 .071000002 0 .42081767 0 0 1
0 0 1 8.028499999999999 2.8717 .8504 1.633 .001519586 .106 0 .31320372 1 0 0
0 0 0 2.585 3.1149 1.0462 1.6656 .1392263 .106 0 .17600916 0 1 0
0 1 0 2.7547 2.8476 1.0862 1.6245 .29280865 .106 0 .35990909 0 1 0
0 0 0 7.9526 3.2241 1.3487 1.516 .0089278976 .106 0 .33829516 1 0 0
0 1 0 2.573 3.0154 .9505 1.8842 .24586086 .106 0 .22254807 0 1 0
1 1 0 2.6778 2.2579 .9871 1.851 .58118606 .106 0 .46673027 0 1 0
1 0 0 7.5753 2.4435 .9883999999999999 1.6657 .63920903 .106 0 .68168753 1 1 0
0 1 0 2.8292 2.8979 .9282 2.1748 .3792592 .106 0 .77733457 0 1 0
0 0 1 7.8184 3.2773 1.0655 1.8846 .043244142 .106 0 .80981743 1 1 0
0 0 0 2.8003 2.5893 .8816000000000001 1.7711 .32607225 .106 0 .33714545 0 1 0
0 0 1 7.8233 4.0759 1.7785 2.073 .0041031279 .106 0 .60318047 1 0 0
0 0 1 2.7194 3.1787 1.0862 1.7971 .23475765 .106 0 .44154748 0 1 0
0 1 0 2.7994 3.0943 1.0896 1.7396 .21886833 .106 0 .3282862 0 1 0
1 0 0 2.6067 2.6094 .9417 1.5703 .56926382 .106 0 .44130296 0 1 0
0 0 1 7.7928 2.8539 .7544 1.55 .00293861 .106 0 .43593094 1 1 0
0 1 0 2.7552 2.3033 .8417 1.8024 .44359756 .106 0 .45925626 0 1 0
0 0 1 8.0215 3.0788 .8717 1.6266 .053044938 .106 0 .26445943 1 1 0
0 0 1 2.6682 2.2231 .8512 1.772 .584364 .106 0 .53476381 0 1 0
0 1 0 8.141 3.1977 1.2648 2.1863 .090455726 .106 0 .99289733 1 0 0
0 1 0 2.8212 3.0042 .9006999999999999 1.8218 .21306536 .106 0 .44827852 0 1 0
0 1 0 7.871 3.2333 .8798 1.8286 .082784913 .106 0 .69777387 1 1 0
0 0 1 2.6622 3.5717 1.0478 1.7361 .13150777 .106 0 .28704816 0 1 0
0 0 0 7.8434 2.7153 .7822 1.5783 .24256061 .106 0 .56263304 1 1 0
1 1 1 2.5897 2.9694 1.217 2.8915 .67683518 .106 0 .94320071 0 1 0
1 1 0 7.6046 2.3318 .8431999999999999 1.7746 .61122215 .106 0 .68347597 1 1 0
1 0 1 2.567 2.5845 .9428 1.751 .61110246 .106 0 .93904477 0 1 0
0 0 0 7.7487 2.8945 .9278999999999999 1.8191 .29994708 .106 0 .42566395 1 1 0
0 1 0 2.6204 4.0193 1.2608 1.9078 .11799726 .106 0 .21346281 0 1 0
0 1 0 7.449 3.0926 1.1313 1.9557 .094670422 .106 0 .74036056 1 1 0
0 0 1 2.7937 2.8638 1.0558 1.6172 .25557503 .106 0 .45348349 0 1 0
0 0 1 7.4747 2.727 1.0708 1.6046 .14178495 .106 0 .33922219 1 1 0
0 0 1 2.6544 2.5677 .6714 1.4624 .002298071 .106 0 .2097557 0 1 0
0 1 1 8.093 4.5864 1.5269 2.2698 .040454715 .106 0 .5962947 1 1 0
0 0 0 2.5707 2.9365 1.1006 1.5412 .021900648 .106 0 0 0 1 0
0 1 0 7.3455 3.8283 1.315 1.8718 .11130624 .106 0 .25698435 1 1 0
0 0 0 2.6268 3.1625 1.1586 2.1571 .069247752 .106 0 .93132991 0 1 0
0 1 0 7.6257 2.7544 .9471000000000001 1.8225 .33353004 .106 0 .51716501 1 1 0
0 0 1 2.8096 2.5488 1.142 1.9412 .16753274 .106 0 .88315117 0 1 0
0 0 0 7.4138 2.9779 .9564 1.9203 .32836065 .106 0 .47255242 1 1 0
0 0 1 2.6961 3.1456 1.0667 1.6976 .11791106 .106 0 .42595404 0 1 0
0 0 1 7.4165 2.7652 1.0016 1.7339 .32443875 .106 0 .35510716 1 1 0
0 1 1 2.6087 4.1316 1.5106 1.7799 .056311574 .106 0 .19376759 0 1 0
0 0 1 2.6971 4.0883 1.0161 1.9618 .041711468 .106 0 .80782354 0 1 0
0 0 1 2.7448 4.3584 .9345 1.9051 .017706208 .106 0 .59736717 0 0 0
0 1 1 2.7398 3.6452 .9948 1.8458 .021424921 .106 0 .30772156 0 0 0
0 0 0 7.9889 3.8631 1.1831 1.9025 .087421305 .106 0 .56705987 1 0 0
0 1 1 2.8059 5.0021 1.6573 2.8543 .087244727 .106 0 .36226842 0 0 0
0 0 0 8.1296 4.6186 1.4554 2.4332 .11502411 .106 0 .91046143 1 1 0
1 1 1 7.3907 3.1643 1.2261 2.2948 .57865965 .106 0 .96412486 1 1 0
0 1 0 7.935 3.7649 1.0352 1.9074 .006931317 .106 0 .63941616 1 0 0
0 1 0 2.617 4.9361 1.8154 3.913 .088880397 .106 0 .923379 0 1 0
0 0 0 2.7289 4.7708 1.5392 2.74 .10736927 .106 0 1 0 1 0
0 0 0 2.6575 4.3071 1.3866 2.3793 .15443085 .106 0 .87738657 0 0 0
0 1 1 2.7272 4.1155 1.5541 1.9205 .051298033 .106 0 .26231715 0 0 0
0 1 0 2.8181 4.5265 1.4874 2.2098 .10737731 .106 0 .92972422 0 1 0
0 0 1 2.8679 3.4142 1.1806 1.825 .25485548 .106 0 .95975709 0 1 0
0 0 1 2.5867 3.0451 1.1259 1.6452 .18053891 .106 0 .83041537 0 1 0
0 0 0 2.7596 4.441 1.1935 2.1493 .070481226 .106 0 .78365892 0 1 0
0 1 0 2.7109 3.7228 1.32 1.7123 .022022206 .106 0 0 0 1 0
0 0 1 2.8144 4.5614 .8894 1.892 .0041571921 .106 0 .59766072 0 0 0
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