> fullmodel <- lmer(mean_response ~ (country0.x + age.x + education.x + gender.x) * (I(colorfulnessmodelnew^2) + I(complexitymodel^2) + colorfulnessmodelnew + complexitymodel) + (1|website) + (1|participant_id), data=ae6) > print(summary(fullmodel), correlation = FALSE) Linear mixed model fit by REML Formula: mean_response ~ (country0.x + age.x + education.x + gender.x) * (I(colorfulnessmodelnew^2) + I(complexitymodel^2) + colorfulnessmodelnew + complexitymodel) + (1 | website) + (1 | participant_id) Data: ae6 AIC BIC logLik deviance REMLdev 1632235 1635347 -815834 1629935 1631669 Random effects: Groups Name Variance Std.Dev. participant_id (Intercept) 0.73225 0.85572 website (Intercept) 0.86051 0.92764 Residual 2.13062 1.45966 Number of obs: 441478, groups: participant_id, 18448; website, 418 Fixed effects: Estimate Std. Error t value (Intercept) 5.919e+00 1.050e+01 0.563 country0.xAustralia -4.476e-03 7.039e-01 -0.006 country0.xAustria 1.412e+00 7.612e-01 1.855 country0.xBelgium 9.262e-01 7.581e-01 1.222 country0.xBrazil 9.943e-01 8.687e-01 1.145 country0.xBulgaria 1.281e-02 8.865e-01 0.014 country0.xCanada -8.754e-02 6.462e-01 -0.135 country0.xChile -1.486e+00 6.897e-01 -2.155 country0.xDenmark 9.720e-01 8.770e-01 1.108 country0.xFinland 1.460e+00 6.568e-01 2.223 country0.xFrance 9.839e-01 7.434e-01 1.323 country0.xGermany 1.576e+00 6.609e-01 2.385 country0.xGreece 5.423e-01 8.456e-01 0.641 country0.xHungary -7.192e-01 6.412e-01 -1.122 country0.xIndia 1.715e-01 6.934e-01 0.247 country0.xIreland -1.734e-01 8.062e-01 -0.215 country0.xIsrael 6.401e-01 8.042e-01 0.796 country0.xItaly 1.635e+00 7.995e-01 2.045 country0.xLithuania -5.068e-01 6.521e-01 -0.777 country0.xMacedonia, The Former Yugoslav Republic Of 5.197e-01 8.761e-01 0.593 country0.xMexico -1.709e+00 7.930e-01 -2.155 country0.xNetherlands -3.882e-03 6.697e-01 -0.006 country0.xNew Zealand -2.200e-01 8.396e-01 -0.262 country0.xNorway 7.787e-01 6.538e-01 1.191 country0.xPoland 1.528e+00 7.231e-01 2.114 country0.xPortugal -7.215e-02 9.127e-01 -0.079 country0.xRomania -8.262e-01 6.461e-01 -1.279 country0.xSerbia -1.819e+00 7.567e-01 -2.404 country0.xSingapore -1.358e+00 7.865e-01 -1.726 country0.xSpain 3.777e-01 9.271e-01 0.407 country0.xSweden 1.709e+00 7.312e-01 2.337 country0.xUnited Kingdom -6.327e-01 6.323e-01 -1.001 country0.xUnited States -5.509e-02 6.292e-01 -0.088 age.x -2.348e-02 2.732e-03 -8.596 education.xcollege -3.680e+00 1.046e+01 -0.352 education.xgraduate school -3.653e+00 1.046e+01 -0.349 education.xhigh school -4.260e+00 1.046e+01 -0.407 education.xPhD -3.539e+00 1.046e+01 -0.338 education.xpostdoctoral -3.044e+00 1.047e+01 -0.291 education.xpre-high school -4.635e+00 1.047e+01 -0.443 education.xprofessional school -3.725e+00 1.046e+01 -0.356 gender.x -4.253e-01 6.508e-02 -6.535 I(colorfulnessmodelnew^2) 5.977e-02 2.358e-01 0.254 I(complexitymodel^2) -1.131e-01 3.853e-01 -0.293 colorfulnessmodelnew -9.016e-01 2.419e+00 -0.373 complexitymodel 6.126e-01 3.746e+00 0.164 country0.xAustralia:I(colorfulnessmodelnew^2) -2.525e-02 3.115e-02 -0.811 country0.xAustria:I(colorfulnessmodelnew^2) 8.213e-03 3.366e-02 0.244 country0.xBelgium:I(colorfulnessmodelnew^2) 6.479e-03 3.319e-02 0.195 country0.xBrazil:I(colorfulnessmodelnew^2) -9.071e-03 3.865e-02 -0.235 country0.xBulgaria:I(colorfulnessmodelnew^2) 1.589e-02 3.862e-02 0.412 country0.xCanada:I(colorfulnessmodelnew^2) -4.886e-03 2.886e-02 -0.169 country0.xChile:I(colorfulnessmodelnew^2) -8.729e-03 3.068e-02 -0.285 country0.xDenmark:I(colorfulnessmodelnew^2) -3.044e-02 3.851e-02 -0.790 country0.xFinland:I(colorfulnessmodelnew^2) 3.722e-03 2.925e-02 0.127 country0.xFrance:I(colorfulnessmodelnew^2) 4.630e-03 3.259e-02 0.142 country0.xGermany:I(colorfulnessmodelnew^2) 9.940e-03 2.943e-02 0.338 country0.xGreece:I(colorfulnessmodelnew^2) 2.678e-02 3.666e-02 0.731 country0.xHungary:I(colorfulnessmodelnew^2) -1.562e-02 2.868e-02 -0.544 country0.xIndia:I(colorfulnessmodelnew^2) 1.048e-03 3.066e-02 0.034 country0.xIreland:I(colorfulnessmodelnew^2) 1.521e-02 3.514e-02 0.433 country0.xIsrael:I(colorfulnessmodelnew^2) 8.354e-03 3.547e-02 0.236 country0.xItaly:I(colorfulnessmodelnew^2) 3.539e-02 3.512e-02 1.008 country0.xLithuania:I(colorfulnessmodelnew^2) -1.800e-03 2.908e-02 -0.062 country0.xMacedonia, The Former Yugoslav Republic Of:I(colorfulnessmodelnew^2) 2.079e-02 3.817e-02 0.545 country0.xMexico:I(colorfulnessmodelnew^2) -6.279e-02 3.520e-02 -1.784 country0.xNetherlands:I(colorfulnessmodelnew^2) -8.378e-03 2.982e-02 -0.281 country0.xNew Zealand:I(colorfulnessmodelnew^2) -5.912e-02 3.612e-02 -1.637 country0.xNorway:I(colorfulnessmodelnew^2) -5.753e-03 2.914e-02 -0.197 country0.xPoland:I(colorfulnessmodelnew^2) 2.850e-02 3.188e-02 0.894 country0.xPortugal:I(colorfulnessmodelnew^2) -6.713e-02 3.877e-02 -1.732 country0.xRomania:I(colorfulnessmodelnew^2) -1.068e-02 2.886e-02 -0.370 country0.xSerbia:I(colorfulnessmodelnew^2) -2.837e-02 3.336e-02 -0.850 country0.xSingapore:I(colorfulnessmodelnew^2) -1.003e-03 3.457e-02 -0.029 country0.xSpain:I(colorfulnessmodelnew^2) 1.087e-02 3.972e-02 0.274 country0.xSweden:I(colorfulnessmodelnew^2) 3.000e-02 3.244e-02 0.925 country0.xUnited Kingdom:I(colorfulnessmodelnew^2) -6.973e-03 2.832e-02 -0.246 country0.xUnited States:I(colorfulnessmodelnew^2) -1.282e-02 2.820e-02 -0.455 country0.xAustralia:I(complexitymodel^2) -2.438e-02 2.332e-02 -1.045 country0.xAustria:I(complexitymodel^2) -8.404e-03 2.473e-02 -0.340 country0.xBelgium:I(complexitymodel^2) -5.008e-03 2.502e-02 -0.200 country0.xBrazil:I(complexitymodel^2) -4.579e-03 2.838e-02 -0.161 country0.xBulgaria:I(complexitymodel^2) -3.977e-02 2.787e-02 -1.427 country0.xCanada:I(complexitymodel^2) -3.090e-02 2.143e-02 -1.442 country0.xChile:I(complexitymodel^2) -1.695e-02 2.257e-02 -0.751 country0.xDenmark:I(complexitymodel^2) 5.886e-03 2.902e-02 0.203 country0.xFinland:I(complexitymodel^2) 6.380e-03 2.178e-02 0.293 country0.xFrance:I(complexitymodel^2) 3.147e-03 2.486e-02 0.127 country0.xGermany:I(complexitymodel^2) -6.682e-03 2.190e-02 -0.305 country0.xGreece:I(complexitymodel^2) -1.339e-02 2.773e-02 -0.483 country0.xHungary:I(complexitymodel^2) -1.544e-02 2.128e-02 -0.726 country0.xIndia:I(complexitymodel^2) -1.417e-02 2.303e-02 -0.615 country0.xIreland:I(complexitymodel^2) -1.481e-02 2.773e-02 -0.534 country0.xIsrael:I(complexitymodel^2) -2.602e-02 2.645e-02 -0.984 country0.xItaly:I(complexitymodel^2) 1.491e-02 2.612e-02 0.571 country0.xLithuania:I(complexitymodel^2) -2.714e-02 2.159e-02 -1.257 country0.xMacedonia, The Former Yugoslav Republic Of:I(complexitymodel^2) 3.222e-02 2.796e-02 1.152 country0.xMexico:I(complexitymodel^2) 3.490e-03 2.626e-02 0.133 country0.xNetherlands:I(complexitymodel^2) -2.531e-02 2.215e-02 -1.143 country0.xNew Zealand:I(complexitymodel^2) 3.802e-02 2.903e-02 1.309 country0.xNorway:I(complexitymodel^2) 6.798e-05 2.170e-02 0.003 country0.xPoland:I(complexitymodel^2) -2.548e-03 2.429e-02 -0.105 country0.xPortugal:I(complexitymodel^2) -5.633e-04 2.867e-02 -0.020 country0.xRomania:I(complexitymodel^2) -1.835e-02 2.142e-02 -0.857 country0.xSerbia:I(complexitymodel^2) -3.882e-02 2.478e-02 -1.567 country0.xSingapore:I(complexitymodel^2) -2.560e-02 2.666e-02 -0.960 country0.xSpain:I(complexitymodel^2) -2.885e-02 3.072e-02 -0.939 country0.xSweden:I(complexitymodel^2) -3.044e-03 2.424e-02 -0.126 country0.xUnited Kingdom:I(complexitymodel^2) -1.104e-02 2.099e-02 -0.526 country0.xUnited States:I(complexitymodel^2) -2.177e-02 2.089e-02 -1.042 country0.xAustralia:colorfulnessmodelnew 1.833e-01 3.089e-01 0.593 country0.xAustria:colorfulnessmodelnew -1.774e-01 3.338e-01 -0.532 country0.xBelgium:colorfulnessmodelnew -9.538e-02 3.296e-01 -0.289 country0.xBrazil:colorfulnessmodelnew 1.510e-02 3.847e-01 0.039 country0.xBulgaria:colorfulnessmodelnew -2.292e-01 3.844e-01 -0.596 country0.xCanada:colorfulnessmodelnew 5.273e-02 2.855e-01 0.185 country0.xChile:colorfulnessmodelnew 3.362e-01 3.039e-01 1.106 country0.xDenmark:colorfulnessmodelnew 1.258e-01 3.827e-01 0.329 country0.xFinland:colorfulnessmodelnew -1.509e-01 2.896e-01 -0.521 country0.xFrance:colorfulnessmodelnew -1.900e-01 3.245e-01 -0.586 country0.xGermany:colorfulnessmodelnew -1.971e-01 2.912e-01 -0.677 country0.xGreece:colorfulnessmodelnew -2.680e-01 3.641e-01 -0.736 country0.xHungary:colorfulnessmodelnew 1.749e-01 2.837e-01 0.617 country0.xIndia:colorfulnessmodelnew 3.391e-03 3.035e-01 0.011 country0.xIreland:colorfulnessmodelnew 2.417e-02 3.499e-01 0.069 country0.xIsrael:colorfulnessmodelnew -1.010e-01 3.522e-01 -0.287 country0.xItaly:colorfulnessmodelnew -3.320e-01 3.487e-01 -0.952 country0.xLithuania:colorfulnessmodelnew 1.239e-02 2.878e-01 0.043 country0.xMacedonia, The Former Yugoslav Republic Of:colorfulnessmodelnew 2.692e-02 3.798e-01 0.071 country0.xMexico:colorfulnessmodelnew 8.550e-01 3.475e-01 2.460 country0.xNetherlands:colorfulnessmodelnew 3.204e-02 2.953e-01 0.109 country0.xNew Zealand:colorfulnessmodelnew 5.911e-01 3.600e-01 1.642 country0.xNorway:colorfulnessmodelnew -2.330e-02 2.883e-01 -0.081 country0.xPoland:colorfulnessmodelnew -3.955e-01 3.160e-01 -1.251 country0.xPortugal:colorfulnessmodelnew 5.580e-01 3.863e-01 1.445 country0.xRomania:colorfulnessmodelnew 1.806e-01 2.855e-01 0.633 country0.xSerbia:colorfulnessmodelnew 4.360e-01 3.315e-01 1.315 country0.xSingapore:colorfulnessmodelnew 1.352e-01 3.412e-01 0.396 country0.xSpain:colorfulnessmodelnew -2.426e-01 3.924e-01 -0.618 country0.xSweden:colorfulnessmodelnew -3.847e-01 3.218e-01 -1.196 country0.xUnited Kingdom:colorfulnessmodelnew 1.965e-01 2.801e-01 0.702 country0.xUnited States:colorfulnessmodelnew 1.357e-01 2.789e-01 0.487 country0.xAustralia:complexitymodel 1.413e-01 2.402e-01 0.588 country0.xAustria:complexitymodel -8.902e-02 2.547e-01 -0.350 country0.xBelgium:complexitymodel -9.117e-02 2.574e-01 -0.354 country0.xBrazil:complexitymodel -1.289e-01 2.915e-01 -0.442 country0.xBulgaria:complexitymodel 4.205e-01 2.889e-01 1.456 country0.xCanada:complexitymodel 2.166e-01 2.205e-01 0.982 country0.xChile:complexitymodel 1.316e-01 2.326e-01 0.566 country0.xDenmark:complexitymodel -1.670e-01 2.995e-01 -0.558 country0.xFinland:complexitymodel -1.798e-01 2.240e-01 -0.803 country0.xFrance:complexitymodel -4.471e-02 2.558e-01 -0.175 country0.xGermany:complexitymodel -9.615e-02 2.252e-01 -0.427 country0.xGreece:complexitymodel 1.520e-01 2.837e-01 0.536 country0.xHungary:complexitymodel 2.024e-01 2.189e-01 0.925 country0.xIndia:complexitymodel 1.394e-01 2.367e-01 0.589 country0.xIreland:complexitymodel 8.551e-02 2.838e-01 0.301 country0.xIsrael:complexitymodel 1.546e-01 2.719e-01 0.569 country0.xItaly:complexitymodel -2.142e-01 2.694e-01 -0.795 country0.xLithuania:complexitymodel 2.955e-01 2.221e-01 1.330 country0.xMacedonia, The Former Yugoslav Republic Of:complexitymodel -2.690e-01 2.904e-01 -0.926 country0.xMexico:complexitymodel -1.230e-01 2.701e-01 -0.455 country0.xNetherlands:complexitymodel 1.839e-01 2.278e-01 0.807 country0.xNew Zealand:complexitymodel -3.946e-01 2.965e-01 -1.331 country0.xNorway:complexitymodel -8.749e-02 2.233e-01 -0.392 country0.xPoland:complexitymodel -2.903e-02 2.487e-01 -0.117 country0.xPortugal:complexitymodel -1.340e-01 2.970e-01 -0.451 country0.xRomania:complexitymodel 2.333e-01 2.205e-01 1.058 country0.xSerbia:complexitymodel 4.042e-01 2.546e-01 1.588 country0.xSingapore:complexitymodel 3.102e-01 2.718e-01 1.141 country0.xSpain:complexitymodel 2.583e-01 3.136e-01 0.824 country0.xSweden:complexitymodel -1.020e-01 2.494e-01 -0.409 country0.xUnited Kingdom:complexitymodel 7.028e-02 2.159e-01 0.325 country0.xUnited States:complexitymodel 1.243e-01 2.149e-01 0.579 age.x:I(colorfulnessmodelnew^2) -2.019e-04 1.139e-04 -1.772 age.x:I(complexitymodel^2) 5.642e-04 8.908e-05 6.333 age.x:colorfulnessmodelnew 2.148e-03 1.141e-03 1.883 age.x:complexitymodel 1.605e-03 9.166e-04 1.751 education.xcollege:I(colorfulnessmodelnew^2) -1.457e-01 2.321e-01 -0.628 education.xgraduate school:I(colorfulnessmodelnew^2) -1.517e-01 2.321e-01 -0.653 education.xhigh school:I(colorfulnessmodelnew^2) -1.532e-01 2.321e-01 -0.660 education.xPhD:I(colorfulnessmodelnew^2) -1.500e-01 2.322e-01 -0.646 education.xpostdoctoral:I(colorfulnessmodelnew^2) -1.494e-01 2.324e-01 -0.643 education.xpre-high school:I(colorfulnessmodelnew^2) -1.418e-01 2.324e-01 -0.610 education.xprofessional school:I(colorfulnessmodelnew^2) -1.533e-01 2.321e-01 -0.660 education.xcollege:I(complexitymodel^2) 4.217e-02 3.840e-01 0.110 education.xgraduate school:I(complexitymodel^2) 3.292e-02 3.840e-01 0.086 education.xhigh school:I(complexitymodel^2) 4.986e-02 3.840e-01 0.130 education.xPhD:I(complexitymodel^2) 3.313e-02 3.840e-01 0.086 education.xpostdoctoral:I(complexitymodel^2) 4.376e-02 3.841e-01 0.114 education.xpre-high school:I(complexitymodel^2) 5.099e-02 3.841e-01 0.133 education.xprofessional school:I(complexitymodel^2) 3.995e-02 3.840e-01 0.104 education.xcollege:colorfulnessmodelnew 1.893e+00 2.384e+00 0.794 education.xgraduate school:colorfulnessmodelnew 1.907e+00 2.384e+00 0.800 education.xhigh school:colorfulnessmodelnew 2.042e+00 2.384e+00 0.857 education.xPhD:colorfulnessmodelnew 1.874e+00 2.385e+00 0.786 education.xpostdoctoral:colorfulnessmodelnew 1.805e+00 2.387e+00 0.756 education.xpre-high school:colorfulnessmodelnew 2.020e+00 2.387e+00 0.846 education.xprofessional school:colorfulnessmodelnew 1.968e+00 2.385e+00 0.825 education.xcollege:complexitymodel -4.204e-01 3.732e+00 -0.113 education.xgraduate school:complexitymodel -3.584e-01 3.732e+00 -0.096 education.xhigh school:complexitymodel -4.522e-01 3.732e+00 -0.121 education.xPhD:complexitymodel -3.447e-01 3.732e+00 -0.092 education.xpostdoctoral:complexitymodel -4.328e-01 3.733e+00 -0.116 education.xpre-high school:complexitymodel -4.240e-01 3.733e+00 -0.114 education.xprofessional school:complexitymodel -4.339e-01 3.732e+00 -0.116 gender.x:I(colorfulnessmodelnew^2) 5.948e-03 2.720e-03 2.187 gender.x:I(complexitymodel^2) 1.253e-03 2.117e-03 0.592 gender.x:colorfulnessmodelnew 3.195e-02 2.722e-02 1.174 gender.x:complexitymodel 3.531e-03 2.176e-02 0.162 > anova(fullmodel) Analysis of Variance Table Df Sum Sq Mean Sq F value country0.x 32 450.5 14.1 6.6076 age.x 1 101.0 101.0 47.4075 education.x 7 42.1 6.0 2.8200 gender.x 1 96.9 96.9 45.4740 I(colorfulnessmodelnew^2) 1 13.2 13.2 6.1780 I(complexitymodel^2) 1 51.0 51.0 23.9576 colorfulnessmodelnew 1 29.3 29.3 13.7538 complexitymodel 1 5.9 5.9 2.7758 country0.x:I(colorfulnessmodelnew^2) 32 5174.0 161.7 75.8881 country0.x:I(complexitymodel^2) 32 1397.5 43.7 20.4977 country0.x:colorfulnessmodelnew 32 377.3 11.8 5.5334 country0.x:complexitymodel 32 222.8 7.0 3.2680 age.x:I(colorfulnessmodelnew^2) 1 422.5 422.5 198.2775 age.x:I(complexitymodel^2) 1 3667.1 3667.1 1721.1391 age.x:colorfulnessmodelnew 1 14.3 14.3 6.6913 age.x:complexitymodel 1 11.0 11.0 5.1487 education.x:I(colorfulnessmodelnew^2) 7 1685.9 240.8 113.0376 education.x:I(complexitymodel^2) 7 429.5 61.4 28.8010 education.x:colorfulnessmodelnew 7 34.5 4.9 2.3112 education.x:complexitymodel 7 21.8 3.1 1.4589 gender.x:I(colorfulnessmodelnew^2) 1 1403.8 1403.8 658.8579 gender.x:I(complexitymodel^2) 1 37.9 37.9 17.7824 gender.x:colorfulnessmodelnew 1 3.7 3.7 1.7425 gender.x:complexitymodel 1 0.1 0.1 0.0641 > ## calculate variance of fixed effects > Fixed <- fixef(fullmodel)[2] * fullmodel@X[, 2] + fixef(fullmodel)[3] * fullmodel@X[, 3] > VarF <- var(Fixed) > > > ## calculate variance-covariance matrix, betas and p-values for model > (VarF + VarCorr(fullmodel)$website[1] + VarCorr(fullmodel)$participant_id[1])/(VarF + VarCorr(fullmodel)$website[1] + VarCorr(fullmodel)$participant_id[1] + (attr(VarCorr(fullmodel), "sc")^2)) [1] 0.4293976 > Vcov <- vcov(fullmodel, useScale = False) > betas <- fixef(fullmodel) > se <- sqrt(diag(Vcov)) > zval <- betas / se > pval <- 2*pnorm(abs(zval), lower.tail = FALSE) > ## print everything > cbind(betas, se, zval, pval) betas se zval pval (Intercept) 5.918777e+00 1.050407e+01 0.563474341 5.731119e-01 country0.xAustralia -4.476190e-03 7.038926e-01 -0.006359195 9.949261e-01 country0.xAustria 1.411639e+00 7.611671e-01 1.854571380 6.365746e-02 country0.xBelgium 9.261847e-01 7.580819e-01 1.221747608 2.218031e-01 country0.xBrazil 9.943194e-01 8.686629e-01 1.144655033 2.523521e-01 country0.xBulgaria 1.281072e-02 8.865370e-01 0.014450294 9.884707e-01 country0.xCanada -8.753854e-02 6.461539e-01 -0.135476296 8.922353e-01 country0.xChile -1.486436e+00 6.897072e-01 -2.155169670 3.114856e-02 country0.xDenmark 9.719647e-01 8.770209e-01 1.108257130 2.677508e-01 country0.xFinland 1.459683e+00 6.567745e-01 2.222502091 2.624939e-02 country0.xFrance 9.838814e-01 7.434442e-01 1.323409822 1.856991e-01 country0.xGermany 1.576469e+00 6.609246e-01 2.385248544 1.706759e-02 country0.xGreece 5.422905e-01 8.455988e-01 0.641309452 5.213216e-01 country0.xHungary -7.191721e-01 6.412297e-01 -1.121551391 2.620532e-01 country0.xIndia 1.714759e-01 6.933705e-01 0.247307706 8.046701e-01 country0.xIreland -1.734229e-01 8.061751e-01 -0.215118197 8.296752e-01 country0.xIsrael 6.400942e-01 8.041947e-01 0.795944369 4.260644e-01 country0.xItaly 1.635078e+00 7.995290e-01 2.045051511 4.084978e-02 country0.xLithuania -5.067733e-01 6.520691e-01 -0.777177220 4.370542e-01 country0.xMacedonia, The Former Yugoslav Republic Of 5.197088e-01 8.760971e-01 0.593209121 5.530412e-01 country0.xMexico -1.709171e+00 7.930305e-01 -2.155240320 3.114303e-02 country0.xNetherlands -3.882274e-03 6.696669e-01 -0.005797321 9.953744e-01 country0.xNew Zealand -2.199526e-01 8.396184e-01 -0.261967323 7.933466e-01 country0.xNorway 7.787309e-01 6.537851e-01 1.191111525 2.336098e-01 country0.xPoland 1.528379e+00 7.230779e-01 2.113712741 3.453981e-02 country0.xPortugal -7.215322e-02 9.126600e-01 -0.079058161 9.369864e-01 country0.xRomania -8.262007e-01 6.461119e-01 -1.278726986 2.009932e-01 country0.xSerbia -1.819029e+00 7.566831e-01 -2.403950969 1.621895e-02 country0.xSingapore -1.357574e+00 7.864699e-01 -1.726161956 8.431828e-02 country0.xSpain 3.777335e-01 9.270987e-01 0.407436146 6.836877e-01 country0.xSweden 1.708952e+00 7.311892e-01 2.337222836 1.942760e-02 country0.xUnited Kingdom -6.326564e-01 6.323273e-01 -1.000520480 3.170587e-01 country0.xUnited States -5.509195e-02 6.291699e-01 -0.087562921 9.302241e-01 age.x -2.348427e-02 2.731982e-03 -8.596055417 8.250297e-18 education.xcollege -3.679532e+00 1.046126e+01 -0.351729176 7.250414e-01 education.xgraduate school -3.653365e+00 1.046132e+01 -0.349225827 7.269198e-01 education.xhigh school -4.259897e+00 1.046145e+01 -0.407199410 6.838615e-01 education.xPhD -3.539490e+00 1.046202e+01 -0.338318205 7.351234e-01 education.xpostdoctoral -3.043967e+00 1.046502e+01 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0.411614011 6.806224e-01 country0.xCanada:I(colorfulnessmodelnew^2) -4.885920e-03 2.885743e-02 -0.169312376 8.655509e-01 country0.xChile:I(colorfulnessmodelnew^2) -8.728512e-03 3.067649e-02 -0.284534283 7.760010e-01 country0.xDenmark:I(colorfulnessmodelnew^2) -3.043896e-02 3.851179e-02 -0.790380293 4.293057e-01 country0.xFinland:I(colorfulnessmodelnew^2) 3.722257e-03 2.925464e-02 0.127236489 8.987532e-01 country0.xFrance:I(colorfulnessmodelnew^2) 4.629781e-03 3.258618e-02 0.142078061 8.870183e-01 country0.xGermany:I(colorfulnessmodelnew^2) 9.939865e-03 2.942529e-02 0.337800023 7.355139e-01 country0.xGreece:I(colorfulnessmodelnew^2) 2.678388e-02 3.665563e-02 0.730689432 4.649689e-01 country0.xHungary:I(colorfulnessmodelnew^2) -1.561528e-02 2.868196e-02 -0.544428668 5.861465e-01 country0.xIndia:I(colorfulnessmodelnew^2) 1.048449e-03 3.065785e-02 0.034198376 9.727190e-01 country0.xIreland:I(colorfulnessmodelnew^2) 1.520978e-02 3.513538e-02 0.432890811 6.650941e-01 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8.335492e-02 country0.xRomania:I(colorfulnessmodelnew^2) -1.067779e-02 2.885628e-02 -0.370033481 7.113575e-01 country0.xSerbia:I(colorfulnessmodelnew^2) -2.837009e-02 3.336110e-02 -0.850394272 3.951059e-01 country0.xSingapore:I(colorfulnessmodelnew^2) -1.002726e-03 3.456940e-02 -0.029006164 9.768597e-01 country0.xSpain:I(colorfulnessmodelnew^2) 1.087260e-02 3.971912e-02 0.273737061 7.842867e-01 country0.xSweden:I(colorfulnessmodelnew^2) 2.999801e-02 3.243568e-02 0.924846093 3.550460e-01 country0.xUnited Kingdom:I(colorfulnessmodelnew^2) -6.973056e-03 2.832147e-02 -0.246210950 8.055189e-01 country0.xUnited States:I(colorfulnessmodelnew^2) -1.281838e-02 2.820229e-02 -0.454515493 6.494578e-01 country0.xAustralia:I(complexitymodel^2) -2.437626e-02 2.331703e-02 -1.045427182 2.958256e-01 country0.xAustria:I(complexitymodel^2) -8.404425e-03 2.473451e-02 -0.339785439 7.340181e-01 country0.xBelgium:I(complexitymodel^2) -5.007739e-03 2.502441e-02 -0.200114185 8.413913e-01 country0.xBrazil:I(complexitymodel^2) -4.578980e-03 2.837854e-02 -0.161353592 8.718149e-01 country0.xBulgaria:I(complexitymodel^2) -3.976512e-02 2.787382e-02 -1.426611872 1.536918e-01 country0.xCanada:I(complexitymodel^2) -3.089594e-02 2.143319e-02 -1.441500155 1.494434e-01 country0.xChile:I(complexitymodel^2) -1.695037e-02 2.257473e-02 -0.750856068 4.527393e-01 country0.xDenmark:I(complexitymodel^2) 5.885965e-03 2.901870e-02 0.202833479 8.392652e-01 country0.xFinland:I(complexitymodel^2) 6.380381e-03 2.178084e-02 0.292935520 7.695714e-01 country0.xFrance:I(complexitymodel^2) 3.147361e-03 2.486439e-02 0.126581056 8.992720e-01 country0.xGermany:I(complexitymodel^2) -6.681692e-03 2.189917e-02 -0.305111624 7.602811e-01 country0.xGreece:I(complexitymodel^2) -1.338705e-02 2.772653e-02 -0.482824704 6.292202e-01 country0.xHungary:I(complexitymodel^2) -1.543917e-02 2.127570e-02 -0.725671544 4.680402e-01 country0.xIndia:I(complexitymodel^2) -1.417474e-02 2.302972e-02 -0.615497929 5.382259e-01 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