Model run using Apollo for R, version 0.2.3 on Darwin by stephane.hess www.ApolloChoiceModelling.com Model name : Apollo_example_24 Model description : ICLV model on drug choice data, using ordered measurement model for indicators Model run at : 2021-02-05 16:10:21 Estimation method : bfgs Model diagnosis : successful convergence Number of individuals : 1000 Number of rows in database : 10000 Number of modelled outcomes : 14000 choice: 10000 indic_dominance: 1000 indic_ingredients: 1000 indic_patent: 1000 indic_quality: 1000 Number of cores used : 4 Number of inter-individual draws : 100 (halton) LL(start) : -19734.47 LL(0, whole model) : Not applicable LL(final, whole model) : -16545.03 Rho-square (0) : Not applicable Adj.Rho-square (0) : Not applicable AIC : 33164.07 BIC : 33443.3 LL(0,indic_quality) : Not applicable LL(final,indic_quality) : -1453.579 LL(0,indic_ingredients) : Not applicable LL(final,indic_ingredients) : -1486.375 LL(0,indic_patent) : Not applicable LL(final,indic_patent) : -1484.858 LL(0,indic_dominance) : Not applicable LL(final,indic_dominance) : -1425.675 LL(0,choice) : -13862.94 LL(final,choice) : -10883.72 Estimated parameters : 37 Time taken (hh:mm:ss) : 00:12:42.67 pre-estimation : 00:00:47.7 estimation : 00:02:19.52 post-estimation : 00:09:35.46 Iterations : 48 Min abs eigenvalue of Hessian : 12.93189 Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) b_brand_Artemis 0.000000 NA NA NA NA b_brand_Novum -0.276387 0.03081 -8.970 0.03194 -8.654 b_brand_BestValue -0.774735 0.07636 -10.146 0.07462 -10.383 b_brand_Supermarket -0.461090 0.07730 -5.965 0.07745 -5.953 b_brand_PainAway -1.443350 0.07776 -18.561 0.07617 -18.950 b_country_CH 0.669829 0.03984 16.811 0.03878 17.273 b_country_DK 0.337739 0.03823 8.834 0.03756 8.992 b_country_USA 0.000000 NA NA NA NA b_country_IND -0.296089 0.05731 -5.167 0.05805 -5.101 b_country_RUS -0.894031 0.06170 -14.490 0.06113 -14.626 b_country_BRA -0.655983 0.06020 -10.897 0.06180 -10.615 b_char_standard 0.000000 NA NA NA NA b_char_fast 0.769134 0.02920 26.341 0.02890 26.617 b_char_double 1.212353 0.03775 32.112 0.03660 33.128 b_risk -0.001574 5.832e-05 -26.983 5.943e-05 -26.477 b_price -0.724008 0.01812 -39.962 0.01728 -41.887 lambda 0.640789 0.03215 19.931 0.03176 20.177 gamma_reg_user -0.959509 0.09090 -10.556 0.09268 -10.353 gamma_university -0.598419 0.08511 -7.031 0.08677 -6.897 gamma_age_50 0.480011 0.08453 5.679 0.08500 5.647 zeta_quality 0.933175 0.08265 11.291 0.08390 11.122 zeta_ingredient -0.847628 0.07785 -10.888 0.07924 -10.697 zeta_patent 1.048254 0.08867 11.822 0.08925 11.746 zeta_dominance -0.658040 0.06996 -9.406 0.06918 -9.511 tau_quality_1 -1.917895 0.12100 -15.850 0.12454 -15.399 tau_quality_2 -1.016008 0.10401 -9.768 0.10457 -9.716 tau_quality_3 1.119697 0.10129 11.054 0.10230 10.945 tau_quality_4 2.246550 0.12886 17.434 0.12938 17.364 tau_ingredients_1 -2.075129 0.11959 -17.352 0.12125 -17.115 tau_ingredients_2 -0.990104 0.09552 -10.365 0.09639 -10.272 tau_ingredients_3 0.910099 0.09799 9.288 0.09923 9.171 tau_ingredients_4 1.856127 0.11527 16.102 0.11520 16.112 tau_patent_1 -2.080303 0.13255 -15.695 0.13107 -15.872 tau_patent_2 -1.017767 0.11089 -9.178 0.11147 -9.130 tau_patent_3 0.938283 0.10457 8.973 0.10705 8.765 tau_patent_4 1.875835 0.12192 15.386 0.12428 15.093 tau_dominance_1 -2.207267 0.11850 -18.627 0.11845 -18.635 tau_dominance_2 -1.109050 0.08940 -12.405 0.09127 -12.151 tau_dominance_3 1.058629 0.09163 11.553 0.09172 11.543 tau_dominance_4 2.111761 0.11344 18.616 0.11246 18.777 Overview of choices for OL model component indic_quality: 1 2 3 4 5 Times chosen 220 151.0 398.0 130 101.0 Percentage chosen overall 22 15.1 39.8 13 10.1 Overview of choices for OL model component indic_ingredients: 1 2 3 4 5 Times chosen 113.0 136.0 372.0 164.0 215.0 Percentage chosen overall 11.3 13.6 37.2 16.4 21.5 Overview of choices for OL model component indic_patent: 1 2 3 4 5 Times chosen 211.0 171.0 358.0 121.0 139.0 Percentage chosen overall 21.1 17.1 35.8 12.1 13.9 Overview of choices for OL model component indic_dominance: 1 2 3 4 5 Times chosen 96.0 132.0 443.0 170 159.0 Percentage chosen overall 9.6 13.2 44.3 17 15.9 Overview of choices for MNL model component choice: alt1 alt2 alt3 alt4 Times available 10000.00 10000.00 10000.00 10000.00 Times chosen 3403.00 3546.00 1517.00 1534.00 Percentage chosen overall 34.03 35.46 15.17 15.34 Percentage chosen when available 34.03 35.46 15.17 15.34 Classical covariance matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_PainAway b_brand_Novum 9.4934e-04 4.7547e-04 5.8521e-04 5.1090e-04 b_brand_BestValue 4.7547e-04 0.005831 0.004667 0.004430 b_brand_Supermarket 5.8521e-04 0.004667 0.005975 0.004494 b_brand_PainAway 5.1090e-04 0.004430 0.004494 0.006047 b_country_CH -6.642e-05 7.4050e-04 7.2787e-04 5.8122e-04 b_country_DK -5.554e-05 6.6553e-04 7.0125e-04 5.7872e-04 b_country_IND -5.866e-05 -0.001547 -0.001621 -0.001417 b_country_RUS -7.182e-05 -0.001539 -0.001611 -0.001307 b_country_BRA -1.221e-05 -0.001413 -0.001697 -0.001385 b_char_fast 1.051e-05 -2.313e-05 7.570e-05 -9.617e-05 b_char_double 7.626e-05 3.8591e-04 4.5936e-04 2.8326e-04 b_risk 2.855e-09 -6.808e-07 -7.313e-07 -1.912e-07 b_price 3.692e-05 3.5338e-04 3.2474e-04 4.1631e-04 lambda -1.220e-05 -3.2272e-04 -2.9929e-04 -3.8188e-04 gamma_reg_user 4.046e-06 0.001719 0.001748 0.001703 gamma_university -7.046e-06 0.001787 0.001799 0.001799 gamma_age_50 -5.104e-07 0.001848 0.001838 0.001853 zeta_quality -1.090e-06 2.3392e-04 2.2083e-04 2.2958e-04 zeta_ingredient -6.235e-06 -1.7392e-04 -1.6954e-04 -1.8424e-04 zeta_patent 4.645e-06 1.2676e-04 1.6140e-04 1.3086e-04 zeta_dominance 1.495e-06 -1.6268e-04 -1.7758e-04 -1.6788e-04 tau_quality_1 4.060e-07 0.002336 0.002364 0.002338 tau_quality_2 4.939e-07 0.002382 0.002406 0.002386 tau_quality_3 -2.175e-07 0.002479 0.002486 0.002482 tau_quality_4 -8.584e-07 0.002523 0.002523 0.002525 tau_ingredients_1 -8.245e-07 -0.002270 -0.002275 -0.002276 tau_ingredients_2 9.894e-07 -0.002241 -0.002248 -0.002243 tau_ingredients_3 4.778e-06 -0.002174 -0.002186 -0.002166 tau_ingredients_4 6.665e-06 -0.002147 -0.002163 -0.002135 tau_patent_1 -5.613e-06 0.002721 0.002701 0.002714 tau_patent_2 -4.303e-06 0.002734 0.002726 0.002731 tau_patent_3 -1.693e-06 0.002771 0.002782 0.002776 tau_patent_4 -1.358e-07 0.002776 0.002794 0.002782 tau_dominance_1 1.069e-06 -0.001763 -0.001771 -0.001766 tau_dominance_2 1.172e-06 -0.001743 -0.001749 -0.001745 tau_dominance_3 4.210e-07 -0.001677 -0.001675 -0.001673 tau_dominance_4 -5.350e-07 -0.001644 -0.001638 -0.001637 b_country_CH b_country_DK b_country_IND b_country_RUS b_brand_Novum -6.642e-05 -5.554e-05 -5.866e-05 -7.182e-05 b_brand_BestValue 7.4050e-04 6.6553e-04 -0.001547 -0.001539 b_brand_Supermarket 7.2787e-04 7.0125e-04 -0.001621 -0.001611 b_brand_PainAway 5.8122e-04 5.7872e-04 -0.001417 -0.001307 b_country_CH 0.001588 7.5084e-04 1.640e-05 -7.853e-05 b_country_DK 7.5084e-04 0.001462 9.358e-05 1.283e-05 b_country_IND 1.640e-05 9.358e-05 0.003284 0.001565 b_country_RUS -7.853e-05 1.283e-05 0.001565 0.003807 b_country_BRA -7.958e-05 1.634e-06 0.001608 0.001576 b_char_fast 8.884e-05 3.833e-05 -9.382e-05 -1.1371e-04 b_char_double 1.3288e-04 3.009e-05 -5.729e-05 -7.852e-05 b_risk -1.506e-07 -6.191e-08 1.733e-07 2.181e-07 b_price -8.752e-05 -3.301e-05 2.531e-05 5.029e-05 lambda 4.871e-05 1.488e-05 3.600e-06 -8.725e-05 gamma_reg_user 1.758e-06 -1.666e-06 4.411e-06 -1.470e-05 gamma_university 2.574e-06 -8.473e-06 1.568e-05 -5.446e-06 gamma_age_50 -7.671e-06 3.222e-06 -2.548e-05 2.170e-05 zeta_quality 2.993e-06 -8.854e-06 2.341e-05 8.148e-06 zeta_ingredient 7.447e-06 -1.513e-06 6.436e-06 -5.996e-06 zeta_patent -6.565e-06 -1.306e-05 3.565e-05 -8.254e-06 zeta_dominance 1.146e-06 5.280e-06 -4.894e-06 -6.262e-06 tau_quality_1 -3.886e-06 5.750e-06 -2.318e-05 -1.064e-05 tau_quality_2 -4.003e-06 3.468e-06 -1.654e-05 -6.294e-06 tau_quality_3 -3.013e-06 -3.163e-06 -1.694e-06 4.575e-06 tau_quality_4 -2.063e-06 -5.304e-06 3.840e-06 8.437e-06 tau_ingredients_1 5.572e-06 4.796e-07 7.151e-06 -6.395e-06 tau_ingredients_2 2.476e-06 8.274e-07 3.746e-06 -2.587e-06 tau_ingredients_3 -3.537e-06 2.546e-06 -2.288e-06 4.938e-06 tau_ingredients_4 -5.620e-06 3.804e-06 -5.454e-06 7.592e-06 tau_patent_1 3.912e-06 1.034e-05 -3.600e-05 7.726e-06 tau_patent_2 8.445e-07 5.502e-06 -2.353e-05 6.705e-06 tau_patent_3 -4.359e-06 -3.740e-06 -4.668e-07 5.087e-06 tau_patent_4 -6.565e-06 -6.950e-06 7.192e-06 4.471e-06 tau_dominance_1 2.798e-06 2.598e-06 3.601e-06 -5.206e-06 tau_dominance_2 2.544e-06 1.941e-06 3.561e-06 -3.199e-06 tau_dominance_3 5.020e-07 -1.708e-06 3.770e-06 3.321e-06 tau_dominance_4 -4.490e-07 -3.422e-06 5.428e-06 6.235e-06 b_country_BRA b_char_fast b_char_double b_risk b_brand_Novum -1.221e-05 1.051e-05 7.626e-05 2.855e-09 b_brand_BestValue -0.001413 -2.313e-05 3.8591e-04 -6.808e-07 b_brand_Supermarket -0.001697 7.570e-05 4.5936e-04 -7.313e-07 b_brand_PainAway -0.001385 -9.617e-05 2.8326e-04 -1.912e-07 b_country_CH -7.958e-05 8.884e-05 1.3288e-04 -1.506e-07 b_country_DK 1.634e-06 3.833e-05 3.009e-05 -6.191e-08 b_country_IND 0.001608 -9.382e-05 -5.729e-05 1.733e-07 b_country_RUS 0.001576 -1.1371e-04 -7.852e-05 2.181e-07 b_country_BRA 0.003624 -1.2037e-04 -1.1537e-04 1.115e-07 b_char_fast -1.2037e-04 8.5257e-04 5.0211e-04 -1.400e-07 b_char_double -1.1537e-04 5.0211e-04 0.001425 -1.119e-07 b_risk 1.115e-07 -1.400e-07 -1.119e-07 3.401e-09 b_price 7.334e-05 -7.465e-05 -1.1842e-04 1.254e-07 lambda -4.923e-05 6.153e-05 8.199e-05 -1.008e-07 gamma_reg_user -8.708e-06 4.418e-06 8.676e-06 -6.722e-09 gamma_university 1.013e-06 5.047e-06 3.229e-06 2.488e-09 gamma_age_50 8.223e-06 4.088e-06 -7.317e-06 -1.232e-08 zeta_quality 2.219e-05 -6.205e-06 -3.917e-06 4.225e-08 zeta_ingredient 3.311e-06 1.745e-05 1.499e-05 -2.199e-08 zeta_patent -1.587e-05 -2.062e-05 -1.507e-05 3.128e-08 zeta_dominance -1.518e-05 -1.814e-06 5.278e-06 -5.833e-09 tau_quality_1 -2.524e-05 1.019e-05 6.205e-06 -4.314e-08 tau_quality_2 -1.913e-05 6.954e-06 3.996e-06 -2.874e-08 tau_quality_3 1.577e-06 6.872e-07 -1.589e-06 2.925e-09 tau_quality_4 1.040e-05 -3.490e-07 -3.255e-06 1.419e-08 tau_ingredients_1 2.536e-06 2.457e-06 5.818e-06 -2.733e-09 tau_ingredients_2 3.078e-06 -3.569e-06 -6.352e-07 4.771e-09 tau_ingredients_3 8.599e-07 -1.548e-05 -1.224e-05 1.848e-08 tau_ingredients_4 -8.312e-07 -2.049e-05 -1.654e-05 2.412e-08 tau_patent_1 1.572e-05 2.600e-05 1.803e-05 -3.549e-08 tau_patent_2 9.605e-06 1.818e-05 1.126e-05 -2.387e-08 tau_patent_3 -1.147e-06 2.385e-06 -2.103e-06 -1.022e-09 tau_patent_4 -4.836e-06 -4.127e-06 -7.442e-06 7.871e-09 tau_dominance_1 -3.823e-06 -2.656e-06 2.106e-06 1.478e-09 tau_dominance_2 3.813e-07 -2.388e-06 7.852e-07 2.836e-09 tau_dominance_3 1.072e-05 -2.615e-06 -4.400e-06 7.251e-09 tau_dominance_4 1.486e-05 -2.116e-06 -6.481e-06 8.941e-09 b_price lambda gamma_reg_user gamma_university b_brand_Novum 3.692e-05 -1.220e-05 4.046e-06 -7.046e-06 b_brand_BestValue 3.5338e-04 -3.2272e-04 0.001719 0.001787 b_brand_Supermarket 3.2474e-04 -2.9929e-04 0.001748 0.001799 b_brand_PainAway 4.1631e-04 -3.8188e-04 0.001703 0.001799 b_country_CH -8.752e-05 4.871e-05 1.758e-06 2.574e-06 b_country_DK -3.301e-05 1.488e-05 -1.666e-06 -8.473e-06 b_country_IND 2.531e-05 3.600e-06 4.411e-06 1.568e-05 b_country_RUS 5.029e-05 -8.725e-05 -1.470e-05 -5.446e-06 b_country_BRA 7.334e-05 -4.923e-05 -8.708e-06 1.013e-06 b_char_fast -7.465e-05 6.153e-05 4.418e-06 5.047e-06 b_char_double -1.1842e-04 8.199e-05 8.676e-06 3.229e-06 b_risk 1.254e-07 -1.008e-07 -6.722e-09 2.488e-09 b_price 3.2824e-04 -3.893e-05 -1.205e-05 -7.652e-06 lambda -3.893e-05 0.001034 8.5168e-04 4.9486e-04 gamma_reg_user -1.205e-05 8.5168e-04 0.008262 0.001063 gamma_university -7.652e-06 4.9486e-04 0.001063 0.007243 gamma_age_50 9.528e-06 -3.7646e-04 -1.9463e-04 -2.1785e-04 zeta_quality -6.003e-06 4.0109e-04 0.001478 8.6081e-04 zeta_ingredient -3.337e-06 -3.1474e-04 -0.001166 -7.3991e-04 zeta_patent -3.509e-06 3.8281e-04 0.001354 7.9730e-04 zeta_dominance 2.608e-06 -2.9545e-04 -7.6107e-04 -8.0603e-04 tau_quality_1 6.172e-07 1.8776e-04 0.002257 0.002513 tau_quality_2 7.681e-08 1.6420e-04 0.002381 0.002560 tau_quality_3 -1.840e-06 1.3943e-04 0.002693 0.002697 tau_quality_4 -3.089e-06 1.5100e-04 0.002849 0.002787 tau_ingredients_1 -3.031e-08 -1.2880e-04 -0.002507 -0.002501 tau_ingredients_2 1.835e-06 -1.3736e-04 -0.002411 -0.002434 tau_ingredients_3 6.187e-06 -1.8762e-04 -0.002257 -0.002340 tau_ingredients_4 8.085e-06 -2.1730e-04 -0.002207 -0.002309 tau_patent_1 -2.156e-06 2.7182e-04 0.002769 0.002899 tau_patent_2 -1.467e-06 2.1884e-04 0.002796 0.002929 tau_patent_3 -1.220e-06 1.4787e-04 0.002932 0.003019 tau_patent_4 -1.583e-06 1.3477e-04 0.003028 0.003037 tau_dominance_1 1.250e-06 -1.1152e-04 -0.001892 -0.001974 tau_dominance_2 8.070e-07 -1.0438e-04 -0.001872 -0.001890 tau_dominance_3 8.970e-07 -1.1036e-04 -0.001849 -0.001664 tau_dominance_4 1.096e-06 -1.2004e-04 -0.001850 -0.001566 gamma_age_50 zeta_quality zeta_ingredient zeta_patent b_brand_Novum -5.104e-07 -1.090e-06 -6.235e-06 4.645e-06 b_brand_BestValue 0.001848 2.3392e-04 -1.7392e-04 1.2676e-04 b_brand_Supermarket 0.001838 2.2083e-04 -1.6954e-04 1.6140e-04 b_brand_PainAway 0.001853 2.2958e-04 -1.8424e-04 1.3086e-04 b_country_CH -7.671e-06 2.993e-06 7.447e-06 -6.565e-06 b_country_DK 3.222e-06 -8.854e-06 -1.513e-06 -1.306e-05 b_country_IND -2.548e-05 2.341e-05 6.436e-06 3.565e-05 b_country_RUS 2.170e-05 8.148e-06 -5.996e-06 -8.254e-06 b_country_BRA 8.223e-06 2.219e-05 3.311e-06 -1.587e-05 b_char_fast 4.088e-06 -6.205e-06 1.745e-05 -2.062e-05 b_char_double -7.317e-06 -3.917e-06 1.499e-05 -1.507e-05 b_risk -1.232e-08 4.225e-08 -2.199e-08 3.128e-08 b_price 9.528e-06 -6.003e-06 -3.337e-06 -3.509e-06 lambda -3.7646e-04 4.0109e-04 -3.1474e-04 3.8281e-04 gamma_reg_user -1.9463e-04 0.001478 -0.001166 0.001354 gamma_university -2.1785e-04 8.6081e-04 -7.3991e-04 7.9730e-04 gamma_age_50 0.007144 -6.5050e-04 7.2669e-04 -9.2390e-04 zeta_quality -6.5050e-04 0.006831 -6.8867e-04 5.0874e-04 zeta_ingredient 7.2669e-04 -6.8867e-04 0.006061 -6.5170e-04 zeta_patent -9.2390e-04 5.0874e-04 -6.5170e-04 0.007863 zeta_dominance 3.0386e-04 -3.7703e-04 4.2492e-04 -2.5441e-04 tau_quality_1 0.002779 -0.004930 -8.144e-05 3.4940e-04 tau_quality_2 0.002738 -0.003365 -1.1532e-04 3.0644e-04 tau_quality_3 0.002648 7.9153e-04 -1.7872e-04 1.2281e-04 tau_quality_4 0.002624 0.002358 -1.9686e-04 2.476e-05 tau_ingredients_1 -0.002356 -2.9879e-04 0.001535 -8.628e-05 tau_ingredients_2 -0.002425 -2.6085e-04 1.8081e-04 -7.556e-05 tau_ingredients_3 -0.002554 -2.1670e-04 -0.002910 -9.845e-05 tau_ingredients_4 -0.002630 -2.1164e-04 -0.004297 -1.1808e-04 tau_patent_1 0.003312 5.6820e-04 -2.1399e-04 -0.006191 tau_patent_2 0.003198 4.7475e-04 -1.8580e-04 -0.003982 tau_patent_3 0.003007 3.1048e-04 -1.3630e-04 4.7154e-04 tau_patent_4 0.002909 2.3155e-04 -1.3402e-04 0.002185 tau_dominance_1 -0.001906 -1.8842e-04 1.0918e-04 -3.457e-06 tau_dominance_2 -0.001895 -2.0716e-04 1.1787e-04 -7.660e-05 tau_dominance_3 -0.001849 -2.9182e-04 1.1432e-04 -2.5139e-04 tau_dominance_4 -0.001824 -3.2652e-04 1.1112e-04 -3.1050e-04 zeta_dominance tau_quality_1 tau_quality_2 tau_quality_3 b_brand_Novum 1.495e-06 4.060e-07 4.939e-07 -2.175e-07 b_brand_BestValue -1.6268e-04 0.002336 0.002382 0.002479 b_brand_Supermarket -1.7758e-04 0.002364 0.002406 0.002486 b_brand_PainAway -1.6788e-04 0.002338 0.002386 0.002482 b_country_CH 1.146e-06 -3.886e-06 -4.003e-06 -3.013e-06 b_country_DK 5.280e-06 5.750e-06 3.468e-06 -3.163e-06 b_country_IND -4.894e-06 -2.318e-05 -1.654e-05 -1.694e-06 b_country_RUS -6.262e-06 -1.064e-05 -6.294e-06 4.575e-06 b_country_BRA -1.518e-05 -2.524e-05 -1.913e-05 1.577e-06 b_char_fast -1.814e-06 1.019e-05 6.954e-06 6.872e-07 b_char_double 5.278e-06 6.205e-06 3.996e-06 -1.589e-06 b_risk -5.833e-09 -4.314e-08 -2.874e-08 2.925e-09 b_price 2.608e-06 6.172e-07 7.681e-08 -1.840e-06 lambda -2.9545e-04 1.8776e-04 1.6420e-04 1.3943e-04 gamma_reg_user -7.6107e-04 0.002257 0.002381 0.002693 gamma_university -8.0603e-04 0.002513 0.002560 0.002697 gamma_age_50 3.0386e-04 0.002779 0.002738 0.002648 zeta_quality -3.7703e-04 -0.004930 -0.003365 7.9153e-04 zeta_ingredient 4.2492e-04 -8.144e-05 -1.1532e-04 -1.7872e-04 zeta_patent -2.5441e-04 3.4940e-04 3.0644e-04 1.2281e-04 zeta_dominance 0.004895 -3.3133e-04 -3.0939e-04 -2.4479e-04 tau_quality_1 -3.3133e-04 0.014641 0.010242 0.004416 tau_quality_2 -3.0939e-04 0.010242 0.010818 0.005117 tau_quality_3 -2.4479e-04 0.004416 0.005117 0.010260 tau_quality_4 -2.1917e-04 0.002840 0.003792 0.008887 tau_ingredients_1 2.3405e-04 -0.003219 -0.003248 -0.003338 tau_ingredients_2 2.3945e-04 -0.003209 -0.003236 -0.003313 tau_ingredients_3 2.2163e-04 -0.003189 -0.003212 -0.003280 tau_ingredients_4 2.2013e-04 -0.003186 -0.003206 -0.003283 tau_patent_1 -5.0448e-04 0.003691 0.003795 0.004134 tau_patent_2 -4.1079e-04 0.003774 0.003858 0.004104 tau_patent_3 -2.4925e-04 0.003967 0.004004 0.004098 tau_patent_4 -1.7602e-04 0.004060 0.004069 0.004088 tau_dominance_1 8.5927e-04 -0.002557 -0.002569 -0.002614 tau_dominance_2 1.194e-05 -0.002493 -0.002517 -0.002584 tau_dominance_3 -0.002618 -0.002294 -0.002351 -0.002499 tau_dominance_4 -0.003669 -0.002210 -0.002277 -0.002461 tau_quality_4 tau_ingredients_1 tau_ingredients_2 tau_ingredients_3 b_brand_Novum -8.584e-07 -8.245e-07 9.894e-07 4.778e-06 b_brand_BestValue 0.002523 -0.002270 -0.002241 -0.002174 b_brand_Supermarket 0.002523 -0.002275 -0.002248 -0.002186 b_brand_PainAway 0.002525 -0.002276 -0.002243 -0.002166 b_country_CH -2.063e-06 5.572e-06 2.476e-06 -3.537e-06 b_country_DK -5.304e-06 4.796e-07 8.274e-07 2.546e-06 b_country_IND 3.840e-06 7.151e-06 3.746e-06 -2.288e-06 b_country_RUS 8.437e-06 -6.395e-06 -2.587e-06 4.938e-06 b_country_BRA 1.040e-05 2.536e-06 3.078e-06 8.599e-07 b_char_fast -3.490e-07 2.457e-06 -3.569e-06 -1.548e-05 b_char_double -3.255e-06 5.818e-06 -6.352e-07 -1.224e-05 b_risk 1.419e-08 -2.733e-09 4.771e-09 1.848e-08 b_price -3.089e-06 -3.031e-08 1.835e-06 6.187e-06 lambda 1.5100e-04 -1.2880e-04 -1.3736e-04 -1.8762e-04 gamma_reg_user 0.002849 -0.002507 -0.002411 -0.002257 gamma_university 0.002787 -0.002501 -0.002434 -0.002340 gamma_age_50 0.002624 -0.002356 -0.002425 -0.002554 zeta_quality 0.002358 -2.9879e-04 -2.6085e-04 -2.1670e-04 zeta_ingredient -1.9686e-04 0.001535 1.8081e-04 -0.002910 zeta_patent 2.476e-05 -8.628e-05 -7.556e-05 -9.845e-05 zeta_dominance -2.1917e-04 2.3405e-04 2.3945e-04 2.2163e-04 tau_quality_1 0.002840 -0.003219 -0.003209 -0.003189 tau_quality_2 0.003792 -0.003248 -0.003236 -0.003212 tau_quality_3 0.008887 -0.003338 -0.003313 -0.003280 tau_quality_4 0.016604 -0.003400 -0.003365 -0.003335 tau_ingredients_1 -0.003400 0.014302 0.007714 0.003756 tau_ingredients_2 -0.003365 0.007714 0.009125 0.004975 tau_ingredients_3 -0.003335 0.003756 0.004975 0.009602 tau_ingredients_4 -0.003350 0.002967 0.004375 0.008955 tau_patent_1 0.004329 -0.003821 -0.003775 -0.003675 tau_patent_2 0.004245 -0.003767 -0.003738 -0.003673 tau_patent_3 0.004152 -0.003719 -0.003710 -0.003701 tau_patent_4 0.004108 -0.003707 -0.003694 -0.003701 tau_dominance_1 -0.002654 0.002390 0.002374 0.002358 tau_dominance_2 -0.002628 0.002359 0.002338 0.002315 tau_dominance_3 -0.002576 0.002277 0.002246 0.002221 tau_dominance_4 -0.002557 0.002246 0.002207 0.002179 tau_ingredients_4 tau_patent_1 tau_patent_2 tau_patent_3 b_brand_Novum 6.665e-06 -5.613e-06 -4.303e-06 -1.693e-06 b_brand_BestValue -0.002147 0.002721 0.002734 0.002771 b_brand_Supermarket -0.002163 0.002701 0.002726 0.002782 b_brand_PainAway -0.002135 0.002714 0.002731 0.002776 b_country_CH -5.620e-06 3.912e-06 8.445e-07 -4.359e-06 b_country_DK 3.804e-06 1.034e-05 5.502e-06 -3.740e-06 b_country_IND -5.454e-06 -3.600e-05 -2.353e-05 -4.668e-07 b_country_RUS 7.592e-06 7.726e-06 6.705e-06 5.087e-06 b_country_BRA -8.312e-07 1.572e-05 9.605e-06 -1.147e-06 b_char_fast -2.049e-05 2.600e-05 1.818e-05 2.385e-06 b_char_double -1.654e-05 1.803e-05 1.126e-05 -2.103e-06 b_risk 2.412e-08 -3.549e-08 -2.387e-08 -1.022e-09 b_price 8.085e-06 -2.156e-06 -1.467e-06 -1.220e-06 lambda -2.1730e-04 2.7182e-04 2.1884e-04 1.4787e-04 gamma_reg_user -0.002207 0.002769 0.002796 0.002932 gamma_university -0.002309 0.002899 0.002929 0.003019 gamma_age_50 -0.002630 0.003312 0.003198 0.003007 zeta_quality -2.1164e-04 5.6820e-04 4.7475e-04 3.1048e-04 zeta_ingredient -0.004297 -2.1399e-04 -1.8580e-04 -1.3630e-04 zeta_patent -1.1808e-04 -0.006191 -0.003982 4.7154e-04 zeta_dominance 2.2013e-04 -5.0448e-04 -4.1079e-04 -2.4925e-04 tau_quality_1 -0.003186 0.003691 0.003774 0.003967 tau_quality_2 -0.003206 0.003795 0.003858 0.004004 tau_quality_3 -0.003283 0.004134 0.004104 0.004098 tau_quality_4 -0.003350 0.004329 0.004245 0.004152 tau_ingredients_1 0.002967 -0.003821 -0.003767 -0.003719 tau_ingredients_2 0.004375 -0.003775 -0.003738 -0.003710 tau_ingredients_3 0.008955 -0.003675 -0.003673 -0.003701 tau_ingredients_4 0.013287 -0.003638 -0.003650 -0.003716 tau_patent_1 -0.003638 0.017569 0.011845 0.005626 tau_patent_2 -0.003650 0.011845 0.012297 0.006407 tau_patent_3 -0.003716 0.005626 0.006407 0.010935 tau_patent_4 -0.003731 0.003765 0.004897 0.009509 tau_dominance_1 0.002368 -0.003037 -0.002982 -0.002923 tau_dominance_2 0.002318 -0.002919 -0.002897 -0.002893 tau_dominance_3 0.002217 -0.002633 -0.002683 -0.002804 tau_dominance_4 0.002175 -0.002526 -0.002597 -0.002763 tau_patent_4 tau_dominance_1 tau_dominance_2 tau_dominance_3 b_brand_Novum -1.358e-07 1.069e-06 1.172e-06 4.210e-07 b_brand_BestValue 0.002776 -0.001763 -0.001743 -0.001677 b_brand_Supermarket 0.002794 -0.001771 -0.001749 -0.001675 b_brand_PainAway 0.002782 -0.001766 -0.001745 -0.001673 b_country_CH -6.565e-06 2.798e-06 2.544e-06 5.020e-07 b_country_DK -6.950e-06 2.598e-06 1.941e-06 -1.708e-06 b_country_IND 7.192e-06 3.601e-06 3.561e-06 3.770e-06 b_country_RUS 4.471e-06 -5.206e-06 -3.199e-06 3.321e-06 b_country_BRA -4.836e-06 -3.823e-06 3.813e-07 1.072e-05 b_char_fast -4.127e-06 -2.656e-06 -2.388e-06 -2.615e-06 b_char_double -7.442e-06 2.106e-06 7.852e-07 -4.400e-06 b_risk 7.871e-09 1.478e-09 2.836e-09 7.251e-09 b_price -1.583e-06 1.250e-06 8.070e-07 8.970e-07 lambda 1.3477e-04 -1.1152e-04 -1.0438e-04 -1.1036e-04 gamma_reg_user 0.003028 -0.001892 -0.001872 -0.001849 gamma_university 0.003037 -0.001974 -0.001890 -0.001664 gamma_age_50 0.002909 -0.001906 -0.001895 -0.001849 zeta_quality 2.3155e-04 -1.8842e-04 -2.0716e-04 -2.9182e-04 zeta_ingredient -1.3402e-04 1.0918e-04 1.1787e-04 1.1432e-04 zeta_patent 0.002185 -3.457e-06 -7.660e-05 -2.5139e-04 zeta_dominance -1.7602e-04 8.5927e-04 1.194e-05 -0.002618 tau_quality_1 0.004060 -0.002557 -0.002493 -0.002294 tau_quality_2 0.004069 -0.002569 -0.002517 -0.002351 tau_quality_3 0.004088 -0.002614 -0.002584 -0.002499 tau_quality_4 0.004108 -0.002654 -0.002628 -0.002576 tau_ingredients_1 -0.003707 0.002390 0.002359 0.002277 tau_ingredients_2 -0.003694 0.002374 0.002338 0.002246 tau_ingredients_3 -0.003701 0.002358 0.002315 0.002221 tau_ingredients_4 -0.003731 0.002368 0.002318 0.002217 tau_patent_1 0.003765 -0.003037 -0.002919 -0.002633 tau_patent_2 0.004897 -0.002982 -0.002897 -0.002683 tau_patent_3 0.009509 -0.002923 -0.002893 -0.002804 tau_patent_4 0.014864 -0.002896 -0.002888 -0.002857 tau_dominance_1 -0.002896 0.014042 0.006764 0.002781 tau_dominance_2 -0.002888 0.006764 0.007993 0.003639 tau_dominance_3 -0.002857 0.002781 0.003639 0.008396 tau_dominance_4 -0.002841 0.002212 0.003165 0.007693 tau_dominance_4 b_brand_Novum -5.350e-07 b_brand_BestValue -0.001644 b_brand_Supermarket -0.001638 b_brand_PainAway -0.001637 b_country_CH -4.490e-07 b_country_DK -3.422e-06 b_country_IND 5.428e-06 b_country_RUS 6.235e-06 b_country_BRA 1.486e-05 b_char_fast -2.116e-06 b_char_double -6.481e-06 b_risk 8.941e-09 b_price 1.096e-06 lambda -1.2004e-04 gamma_reg_user -0.001850 gamma_university -0.001566 gamma_age_50 -0.001824 zeta_quality -3.2652e-04 zeta_ingredient 1.1112e-04 zeta_patent -3.1050e-04 zeta_dominance -0.003669 tau_quality_1 -0.002210 tau_quality_2 -0.002277 tau_quality_3 -0.002461 tau_quality_4 -0.002557 tau_ingredients_1 0.002246 tau_ingredients_2 0.002207 tau_ingredients_3 0.002179 tau_ingredients_4 0.002175 tau_patent_1 -0.002526 tau_patent_2 -0.002597 tau_patent_3 -0.002763 tau_patent_4 -0.002841 tau_dominance_1 0.002212 tau_dominance_2 0.003165 tau_dominance_3 0.007693 tau_dominance_4 0.012869 Robust covariance matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_PainAway b_brand_Novum 0.001020 4.4512e-04 5.3065e-04 4.1935e-04 b_brand_BestValue 4.4512e-04 0.005567 0.004441 0.004183 b_brand_Supermarket 5.3065e-04 0.004441 0.005999 0.004451 b_brand_PainAway 4.1935e-04 0.004183 0.004451 0.005801 b_country_CH -1.2588e-04 4.9450e-04 5.6091e-04 4.1866e-04 b_country_DK -4.556e-05 4.1223e-04 5.4769e-04 4.3982e-04 b_country_IND -5.945e-05 -0.001672 -0.001700 -0.001454 b_country_RUS -5.291e-05 -0.001654 -0.001592 -0.001408 b_country_BRA 3.672e-05 -0.001430 -0.001776 -0.001320 b_char_fast -5.062e-05 -2.176e-05 1.1999e-04 -7.327e-05 b_char_double -1.577e-05 3.5300e-04 4.1230e-04 2.0546e-04 b_risk 1.365e-07 -4.520e-07 -5.459e-07 -1.844e-07 b_price 4.233e-05 3.4063e-04 3.0967e-04 3.8759e-04 lambda -4.837e-05 -3.0497e-04 -2.3125e-04 -2.9939e-04 gamma_reg_user -3.378e-06 0.001723 0.001925 0.001863 gamma_university -3.686e-05 0.001725 0.001697 0.001745 gamma_age_50 -6.709e-05 0.002059 0.002182 0.002177 zeta_quality 1.370e-05 3.0298e-04 2.8929e-04 3.6495e-04 zeta_ingredient -4.128e-05 4.544e-05 2.0645e-04 2.8711e-04 zeta_patent 9.964e-05 2.1507e-04 3.1250e-04 3.3155e-04 zeta_dominance -7.596e-05 -3.5600e-04 -4.1390e-04 -3.1355e-04 tau_quality_1 2.878e-05 0.002311 0.002620 0.002502 tau_quality_2 -4.492e-05 0.002337 0.002415 0.002337 tau_quality_3 7.190e-05 0.002472 0.002663 0.002698 tau_quality_4 8.266e-05 0.002564 0.002606 0.002687 tau_ingredients_1 -7.618e-05 -0.002174 -0.002274 -0.002306 tau_ingredients_2 -5.795e-05 -0.002340 -0.002446 -0.002238 tau_ingredients_3 2.689e-06 -0.002362 -0.002662 -0.002412 tau_ingredients_4 -2.487e-05 -0.002162 -0.002605 -0.002547 tau_patent_1 9.764e-06 0.002486 0.002562 0.002299 tau_patent_2 3.585e-05 0.002665 0.002764 0.002655 tau_patent_3 -1.2223e-04 0.002711 0.002942 0.002832 tau_patent_4 -8.307e-05 0.002994 0.003173 0.003014 tau_dominance_1 -2.438e-05 -0.002202 -0.002613 -0.002158 tau_dominance_2 -2.081e-05 -0.001864 -0.002243 -0.001973 tau_dominance_3 -2.182e-05 -0.001872 -0.002005 -0.002055 tau_dominance_4 1.4482e-04 -0.001526 -0.001614 -0.001720 b_country_CH b_country_DK b_country_IND b_country_RUS b_brand_Novum -1.2588e-04 -4.556e-05 -5.945e-05 -5.291e-05 b_brand_BestValue 4.9450e-04 4.1223e-04 -0.001672 -0.001654 b_brand_Supermarket 5.6091e-04 5.4769e-04 -0.001700 -0.001592 b_brand_PainAway 4.1866e-04 4.3982e-04 -0.001454 -0.001408 b_country_CH 0.001504 6.8552e-04 -5.571e-05 -1.4649e-04 b_country_DK 6.8552e-04 0.001411 4.998e-05 -1.654e-05 b_country_IND -5.571e-05 4.998e-05 0.003370 0.001456 b_country_RUS -1.4649e-04 -1.654e-05 0.001456 0.003736 b_country_BRA -1.0974e-04 3.448e-06 0.001848 0.001873 b_char_fast 1.1580e-04 7.209e-06 -1.4554e-04 -1.4946e-04 b_char_double 1.1279e-04 -2.143e-05 -8.080e-05 -1.0530e-04 b_risk -1.566e-08 1.041e-07 2.403e-07 2.631e-07 b_price -8.106e-05 -3.883e-05 5.685e-05 2.976e-05 lambda 9.343e-05 3.322e-05 5.899e-05 -1.7266e-04 gamma_reg_user -1.642e-05 5.684e-06 1.4730e-04 -4.868e-05 gamma_university -1.7212e-04 -1.0414e-04 8.552e-05 5.005e-05 gamma_age_50 -4.884e-05 -8.930e-05 -1.7059e-04 -4.812e-05 zeta_quality -2.955e-05 -7.521e-05 1.3856e-04 -5.134e-05 zeta_ingredient 9.540e-05 -2.191e-05 -9.967e-05 -1.1300e-04 zeta_patent -1.0324e-04 -4.913e-05 -7.579e-05 6.834e-05 zeta_dominance -5.137e-05 -2.422e-05 1.265e-05 3.099e-06 tau_quality_1 -6.539e-05 -9.152e-05 9.250e-06 -9.948e-05 tau_quality_2 -1.6603e-04 -9.017e-05 -3.157e-05 -9.592e-05 tau_quality_3 -1.9146e-04 -1.0373e-04 6.659e-05 -1.4387e-04 tau_quality_4 -2.1819e-04 -1.0437e-04 -1.0504e-04 -9.226e-05 tau_ingredients_1 1.5838e-04 -1.080e-05 3.491e-05 -1.6369e-04 tau_ingredients_2 2.0197e-04 1.8369e-04 1.0305e-04 -5.675e-05 tau_ingredients_3 7.580e-05 5.994e-05 1.8491e-04 9.351e-05 tau_ingredients_4 -2.909e-05 2.1908e-04 5.183e-05 -2.592e-05 tau_patent_1 -6.745e-05 -1.9865e-04 3.8398e-04 -2.818e-06 tau_patent_2 -6.407e-05 -1.5090e-04 1.8822e-04 4.093e-06 tau_patent_3 8.547e-05 -8.076e-05 -1.2385e-04 -6.709e-05 tau_patent_4 8.709e-05 -1.4838e-04 -2.2854e-04 -9.624e-05 tau_dominance_1 -1.0729e-04 -9.557e-05 2.7227e-04 9.788e-05 tau_dominance_2 -2.925e-05 8.228e-05 2.366e-05 -6.775e-05 tau_dominance_3 -2.874e-05 -8.208e-05 5.916e-05 5.372e-05 tau_dominance_4 -3.457e-07 4.306e-06 -1.1686e-04 -1.7255e-04 b_country_BRA b_char_fast b_char_double b_risk b_brand_Novum 3.672e-05 -5.062e-05 -1.577e-05 1.365e-07 b_brand_BestValue -0.001430 -2.176e-05 3.5300e-04 -4.520e-07 b_brand_Supermarket -0.001776 1.1999e-04 4.1230e-04 -5.459e-07 b_brand_PainAway -0.001320 -7.327e-05 2.0546e-04 -1.844e-07 b_country_CH -1.0974e-04 1.1580e-04 1.1279e-04 -1.566e-08 b_country_DK 3.448e-06 7.209e-06 -2.143e-05 1.041e-07 b_country_IND 0.001848 -1.4554e-04 -8.080e-05 2.403e-07 b_country_RUS 0.001873 -1.4946e-04 -1.0530e-04 2.631e-07 b_country_BRA 0.003819 -1.8575e-04 -1.3762e-04 1.212e-07 b_char_fast -1.8575e-04 8.3500e-04 4.6072e-04 -1.580e-07 b_char_double -1.3762e-04 4.6072e-04 0.001339 -2.268e-08 b_risk 1.212e-07 -1.580e-07 -2.268e-08 3.532e-09 b_price 5.904e-05 -7.406e-05 -1.1610e-04 1.256e-07 lambda -3.573e-05 8.222e-05 6.374e-05 -1.036e-07 gamma_reg_user 3.2685e-04 5.955e-05 4.659e-05 1.740e-07 gamma_university 3.0288e-04 -1.6228e-04 9.045e-07 1.511e-07 gamma_age_50 -7.072e-05 1.8867e-04 8.420e-05 -3.709e-07 zeta_quality 9.559e-05 2.748e-05 -4.951e-05 2.529e-07 zeta_ingredient -1.0453e-04 2.869e-05 1.5799e-04 1.039e-07 zeta_patent 6.681e-05 -6.817e-05 4.751e-05 -1.163e-07 zeta_dominance 5.245e-05 -3.481e-06 -1.128e-05 -1.504e-08 tau_quality_1 2.2678e-04 7.619e-05 -7.089e-06 -6.675e-08 tau_quality_2 1.3486e-04 3.076e-05 -5.330e-05 9.212e-09 tau_quality_3 1.7366e-04 1.504e-05 -1.6165e-04 1.422e-07 tau_quality_4 1.7038e-04 2.645e-05 -2.7808e-04 1.955e-07 tau_ingredients_1 -4.1700e-04 9.750e-05 1.0801e-04 2.319e-07 tau_ingredients_2 -9.246e-05 -4.998e-05 -1.4575e-04 2.276e-07 tau_ingredients_3 9.800e-06 -3.929e-05 -1.5446e-04 7.384e-08 tau_ingredients_4 3.726e-05 -5.889e-05 -1.6652e-04 2.114e-07 tau_patent_1 4.9020e-04 1.5383e-04 9.338e-05 -1.881e-07 tau_patent_2 3.4566e-04 1.5994e-04 -4.657e-05 -1.198e-07 tau_patent_3 3.3659e-04 3.560e-05 -1.2883e-04 -1.013e-08 tau_patent_4 3.1013e-04 1.380e-05 -1.2268e-04 -1.713e-07 tau_dominance_1 5.792e-05 -1.2032e-04 -2.1129e-04 -2.304e-07 tau_dominance_2 -1.9697e-04 -5.148e-05 -5.009e-05 -7.605e-08 tau_dominance_3 -2.3527e-04 1.387e-05 -9.297e-05 1.147e-07 tau_dominance_4 -2.7621e-04 -6.259e-05 -1.9383e-04 -1.069e-07 b_price lambda gamma_reg_user gamma_university b_brand_Novum 4.233e-05 -4.837e-05 -3.378e-06 -3.686e-05 b_brand_BestValue 3.4063e-04 -3.0497e-04 0.001723 0.001725 b_brand_Supermarket 3.0967e-04 -2.3125e-04 0.001925 0.001697 b_brand_PainAway 3.8759e-04 -2.9939e-04 0.001863 0.001745 b_country_CH -8.106e-05 9.343e-05 -1.642e-05 -1.7212e-04 b_country_DK -3.883e-05 3.322e-05 5.684e-06 -1.0414e-04 b_country_IND 5.685e-05 5.899e-05 1.4730e-04 8.552e-05 b_country_RUS 2.976e-05 -1.7266e-04 -4.868e-05 5.005e-05 b_country_BRA 5.904e-05 -3.573e-05 3.2685e-04 3.0288e-04 b_char_fast -7.406e-05 8.222e-05 5.955e-05 -1.6228e-04 b_char_double -1.1610e-04 6.374e-05 4.659e-05 9.045e-07 b_risk 1.256e-07 -1.036e-07 1.740e-07 1.511e-07 b_price 2.9876e-04 -3.827e-05 6.446e-06 -2.732e-05 lambda -3.827e-05 0.001009 8.8130e-04 4.9208e-04 gamma_reg_user 6.446e-06 8.8130e-04 0.008590 0.001214 gamma_university -2.732e-05 4.9208e-04 0.001214 0.007528 gamma_age_50 4.096e-05 -1.6526e-04 4.8388e-04 -2.609e-05 zeta_quality 1.566e-05 3.1844e-04 0.001899 9.0153e-04 zeta_ingredient 3.255e-05 -3.4785e-04 -9.0356e-04 -9.2375e-04 zeta_patent 6.354e-05 3.0663e-04 0.001178 7.5142e-04 zeta_dominance 8.200e-05 -3.3247e-04 -6.9691e-04 -0.001605 tau_quality_1 5.784e-05 3.6798e-04 0.002637 0.003020 tau_quality_2 2.645e-05 2.6756e-04 0.002671 0.002874 tau_quality_3 4.543e-05 1.6094e-04 0.003056 0.002725 tau_quality_4 -2.046e-05 8.465e-05 0.003198 0.002905 tau_ingredients_1 -2.954e-05 -1.5386e-04 -0.002416 -0.002801 tau_ingredients_2 -3.551e-05 -1.2485e-04 -0.002462 -0.002569 tau_ingredients_3 -8.357e-05 -2.5817e-04 -0.002531 -0.002359 tau_ingredients_4 -3.946e-05 -2.0497e-04 -0.002342 -0.002034 tau_patent_1 2.339e-05 3.9352e-04 0.003151 0.002888 tau_patent_2 9.226e-06 3.2173e-04 0.003240 0.003315 tau_patent_3 -5.329e-06 2.5298e-04 0.003250 0.003462 tau_patent_4 -7.886e-06 1.6270e-04 0.003089 0.003555 tau_dominance_1 -6.317e-05 -1.3425e-04 -0.002362 -0.001950 tau_dominance_2 -6.495e-05 -8.763e-05 -0.001973 -0.002099 tau_dominance_3 -8.598e-05 -1.3702e-04 -0.002214 -0.001561 tau_dominance_4 -6.768e-05 -3.699e-05 -0.002292 -0.001201 gamma_age_50 zeta_quality zeta_ingredient zeta_patent b_brand_Novum -6.709e-05 1.370e-05 -4.128e-05 9.964e-05 b_brand_BestValue 0.002059 3.0298e-04 4.544e-05 2.1507e-04 b_brand_Supermarket 0.002182 2.8929e-04 2.0645e-04 3.1250e-04 b_brand_PainAway 0.002177 3.6495e-04 2.8711e-04 3.3155e-04 b_country_CH -4.884e-05 -2.955e-05 9.540e-05 -1.0324e-04 b_country_DK -8.930e-05 -7.521e-05 -2.191e-05 -4.913e-05 b_country_IND -1.7059e-04 1.3856e-04 -9.967e-05 -7.579e-05 b_country_RUS -4.812e-05 -5.134e-05 -1.1300e-04 6.834e-05 b_country_BRA -7.072e-05 9.559e-05 -1.0453e-04 6.681e-05 b_char_fast 1.8867e-04 2.748e-05 2.869e-05 -6.817e-05 b_char_double 8.420e-05 -4.951e-05 1.5799e-04 4.751e-05 b_risk -3.709e-07 2.529e-07 1.039e-07 -1.163e-07 b_price 4.096e-05 1.566e-05 3.255e-05 6.354e-05 lambda -1.6526e-04 3.1844e-04 -3.4785e-04 3.0663e-04 gamma_reg_user 4.8388e-04 0.001899 -9.0356e-04 0.001178 gamma_university -2.609e-05 9.0153e-04 -9.2375e-04 7.5142e-04 gamma_age_50 0.007225 -6.8664e-04 0.001003 -0.001027 zeta_quality -6.8664e-04 0.007039 -0.001160 6.1681e-04 zeta_ingredient 0.001003 -0.001160 0.006280 -8.2851e-04 zeta_patent -0.001027 6.1681e-04 -8.2851e-04 0.007965 zeta_dominance 1.6494e-04 -3.3060e-04 7.5837e-04 -3.6016e-04 tau_quality_1 0.003088 -0.004921 1.2801e-04 5.7222e-04 tau_quality_2 0.002851 -0.003259 -2.517e-05 4.2295e-04 tau_quality_3 0.002904 9.5003e-04 -3.264e-05 3.7656e-04 tau_quality_4 0.002508 0.002679 -1.1995e-04 5.4820e-04 tau_ingredients_1 -0.002703 -4.1406e-04 0.001487 3.3420e-04 tau_ingredients_2 -0.002798 -1.3225e-04 9.653e-05 2.8940e-04 tau_ingredients_3 -0.002868 6.714e-06 -0.003156 2.3346e-04 tau_ingredients_4 -0.003059 -1.3842e-04 -0.004633 -6.120e-05 tau_patent_1 0.003491 6.3904e-04 2.026e-05 -0.006252 tau_patent_2 0.003443 6.0253e-04 3.837e-05 -0.003895 tau_patent_3 0.003279 3.3551e-04 1.9023e-04 5.3888e-04 tau_patent_4 0.003343 4.4645e-04 4.4841e-04 0.002061 tau_dominance_1 -0.001969 -5.3537e-04 7.107e-05 -6.3837e-04 tau_dominance_2 -0.002365 -1.4590e-04 7.846e-05 -3.0411e-04 tau_dominance_3 -0.002081 -3.7106e-04 -9.984e-05 -6.4433e-04 tau_dominance_4 -0.001985 -5.8552e-04 -1.7825e-04 -2.0372e-04 zeta_dominance tau_quality_1 tau_quality_2 tau_quality_3 b_brand_Novum -7.596e-05 2.878e-05 -4.492e-05 7.190e-05 b_brand_BestValue -3.5600e-04 0.002311 0.002337 0.002472 b_brand_Supermarket -4.1390e-04 0.002620 0.002415 0.002663 b_brand_PainAway -3.1355e-04 0.002502 0.002337 0.002698 b_country_CH -5.137e-05 -6.539e-05 -1.6603e-04 -1.9146e-04 b_country_DK -2.422e-05 -9.152e-05 -9.017e-05 -1.0373e-04 b_country_IND 1.265e-05 9.250e-06 -3.157e-05 6.659e-05 b_country_RUS 3.099e-06 -9.948e-05 -9.592e-05 -1.4387e-04 b_country_BRA 5.245e-05 2.2678e-04 1.3486e-04 1.7366e-04 b_char_fast -3.481e-06 7.619e-05 3.076e-05 1.504e-05 b_char_double -1.128e-05 -7.089e-06 -5.330e-05 -1.6165e-04 b_risk -1.504e-08 -6.675e-08 9.212e-09 1.422e-07 b_price 8.200e-05 5.784e-05 2.645e-05 4.543e-05 lambda -3.3247e-04 3.6798e-04 2.6756e-04 1.6094e-04 gamma_reg_user -6.9691e-04 0.002637 0.002671 0.003056 gamma_university -0.001605 0.003020 0.002874 0.002725 gamma_age_50 1.6494e-04 0.003088 0.002851 0.002904 zeta_quality -3.3060e-04 -0.004921 -0.003259 9.5003e-04 zeta_ingredient 7.5837e-04 1.2801e-04 -2.517e-05 -3.264e-05 zeta_patent -3.6016e-04 5.7222e-04 4.2295e-04 3.7656e-04 zeta_dominance 0.004786 -7.0287e-04 -6.7297e-04 -6.4750e-04 tau_quality_1 -7.0287e-04 0.015511 0.010691 0.004737 tau_quality_2 -6.7297e-04 0.010691 0.010935 0.005262 tau_quality_3 -6.4750e-04 0.004737 0.005262 0.010465 tau_quality_4 -6.4872e-04 0.002940 0.003785 0.009016 tau_ingredients_1 6.0425e-04 -0.003766 -0.003959 -0.003585 tau_ingredients_2 6.6183e-04 -0.004069 -0.003908 -0.003743 tau_ingredients_3 3.1695e-04 -0.003673 -0.003642 -0.003293 tau_ingredients_4 3.5378e-04 -0.003207 -0.003454 -0.003464 tau_patent_1 -7.4056e-04 0.003905 0.003802 0.003468 tau_patent_2 -8.7575e-04 0.004449 0.004211 0.003997 tau_patent_3 -7.9231e-04 0.004682 0.004658 0.004186 tau_patent_4 -0.001093 0.004611 0.004424 0.004256 tau_dominance_1 6.8704e-04 -0.002746 -0.002624 -0.002567 tau_dominance_2 2.7548e-04 -0.002897 -0.002753 -0.002942 tau_dominance_3 -0.002322 -0.002669 -0.002450 -0.002351 tau_dominance_4 -0.003268 -0.002318 -0.002563 -0.002337 tau_quality_4 tau_ingredients_1 tau_ingredients_2 tau_ingredients_3 b_brand_Novum 8.266e-05 -7.618e-05 -5.795e-05 2.689e-06 b_brand_BestValue 0.002564 -0.002174 -0.002340 -0.002362 b_brand_Supermarket 0.002606 -0.002274 -0.002446 -0.002662 b_brand_PainAway 0.002687 -0.002306 -0.002238 -0.002412 b_country_CH -2.1819e-04 1.5838e-04 2.0197e-04 7.580e-05 b_country_DK -1.0437e-04 -1.080e-05 1.8369e-04 5.994e-05 b_country_IND -1.0504e-04 3.491e-05 1.0305e-04 1.8491e-04 b_country_RUS -9.226e-05 -1.6369e-04 -5.675e-05 9.351e-05 b_country_BRA 1.7038e-04 -4.1700e-04 -9.246e-05 9.800e-06 b_char_fast 2.645e-05 9.750e-05 -4.998e-05 -3.929e-05 b_char_double -2.7808e-04 1.0801e-04 -1.4575e-04 -1.5446e-04 b_risk 1.955e-07 2.319e-07 2.276e-07 7.384e-08 b_price -2.046e-05 -2.954e-05 -3.551e-05 -8.357e-05 lambda 8.465e-05 -1.5386e-04 -1.2485e-04 -2.5817e-04 gamma_reg_user 0.003198 -0.002416 -0.002462 -0.002531 gamma_university 0.002905 -0.002801 -0.002569 -0.002359 gamma_age_50 0.002508 -0.002703 -0.002798 -0.002868 zeta_quality 0.002679 -4.1406e-04 -1.3225e-04 6.714e-06 zeta_ingredient -1.1995e-04 0.001487 9.653e-05 -0.003156 zeta_patent 5.4820e-04 3.3420e-04 2.8940e-04 2.3346e-04 zeta_dominance -6.4872e-04 6.0425e-04 6.6183e-04 3.1695e-04 tau_quality_1 0.002940 -0.003766 -0.004069 -0.003673 tau_quality_2 0.003785 -0.003959 -0.003908 -0.003642 tau_quality_3 0.009016 -0.003585 -0.003743 -0.003293 tau_quality_4 0.016740 -0.003513 -0.003563 -0.003260 tau_ingredients_1 -0.003513 0.014701 0.007966 0.003881 tau_ingredients_2 -0.003563 0.007966 0.009290 0.005092 tau_ingredients_3 -0.003260 0.003881 0.005092 0.009847 tau_ingredients_4 -0.003284 0.002961 0.004369 0.009077 tau_patent_1 0.003321 -0.004476 -0.003998 -0.003888 tau_patent_2 0.003890 -0.004399 -0.004254 -0.004077 tau_patent_3 0.004103 -0.004211 -0.004023 -0.004082 tau_patent_4 0.004179 -0.004553 -0.004263 -0.004246 tau_dominance_1 -0.002983 0.001698 0.002341 0.002706 tau_dominance_2 -0.002736 0.002424 0.002658 0.002511 tau_dominance_3 -0.002178 0.002583 0.002382 0.002532 tau_dominance_4 -0.002352 0.002358 0.002255 0.002289 tau_ingredients_4 tau_patent_1 tau_patent_2 tau_patent_3 b_brand_Novum -2.487e-05 9.764e-06 3.585e-05 -1.2223e-04 b_brand_BestValue -0.002162 0.002486 0.002665 0.002711 b_brand_Supermarket -0.002605 0.002562 0.002764 0.002942 b_brand_PainAway -0.002547 0.002299 0.002655 0.002832 b_country_CH -2.909e-05 -6.745e-05 -6.407e-05 8.547e-05 b_country_DK 2.1908e-04 -1.9865e-04 -1.5090e-04 -8.076e-05 b_country_IND 5.183e-05 3.8398e-04 1.8822e-04 -1.2385e-04 b_country_RUS -2.592e-05 -2.818e-06 4.093e-06 -6.709e-05 b_country_BRA 3.726e-05 4.9020e-04 3.4566e-04 3.3659e-04 b_char_fast -5.889e-05 1.5383e-04 1.5994e-04 3.560e-05 b_char_double -1.6652e-04 9.338e-05 -4.657e-05 -1.2883e-04 b_risk 2.114e-07 -1.881e-07 -1.198e-07 -1.013e-08 b_price -3.946e-05 2.339e-05 9.226e-06 -5.329e-06 lambda -2.0497e-04 3.9352e-04 3.2173e-04 2.5298e-04 gamma_reg_user -0.002342 0.003151 0.003240 0.003250 gamma_university -0.002034 0.002888 0.003315 0.003462 gamma_age_50 -0.003059 0.003491 0.003443 0.003279 zeta_quality -1.3842e-04 6.3904e-04 6.0253e-04 3.3551e-04 zeta_ingredient -0.004633 2.026e-05 3.837e-05 1.9023e-04 zeta_patent -6.120e-05 -0.006252 -0.003895 5.3888e-04 zeta_dominance 3.5378e-04 -7.4056e-04 -8.7575e-04 -7.9231e-04 tau_quality_1 -0.003207 0.003905 0.004449 0.004682 tau_quality_2 -0.003454 0.003802 0.004211 0.004658 tau_quality_3 -0.003464 0.003468 0.003997 0.004186 tau_quality_4 -0.003284 0.003321 0.003890 0.004103 tau_ingredients_1 0.002961 -0.004476 -0.004399 -0.004211 tau_ingredients_2 0.004369 -0.003998 -0.004254 -0.004023 tau_ingredients_3 0.009077 -0.003888 -0.004077 -0.004082 tau_ingredients_4 0.013271 -0.003368 -0.003628 -0.004130 tau_patent_1 -0.003368 0.017180 0.011692 0.005628 tau_patent_2 -0.003628 0.011692 0.012425 0.006740 tau_patent_3 -0.004130 0.005628 0.006740 0.011459 tau_patent_4 -0.004582 0.004005 0.005436 0.010105 tau_dominance_1 0.002890 -0.002350 -0.002759 -0.002869 tau_dominance_2 0.002657 -0.002509 -0.002820 -0.003102 tau_dominance_3 0.002313 -0.002300 -0.002597 -0.002965 tau_dominance_4 0.002069 -0.002244 -0.002533 -0.002813 tau_patent_4 tau_dominance_1 tau_dominance_2 tau_dominance_3 b_brand_Novum -8.307e-05 -2.438e-05 -2.081e-05 -2.182e-05 b_brand_BestValue 0.002994 -0.002202 -0.001864 -0.001872 b_brand_Supermarket 0.003173 -0.002613 -0.002243 -0.002005 b_brand_PainAway 0.003014 -0.002158 -0.001973 -0.002055 b_country_CH 8.709e-05 -1.0729e-04 -2.925e-05 -2.874e-05 b_country_DK -1.4838e-04 -9.557e-05 8.228e-05 -8.208e-05 b_country_IND -2.2854e-04 2.7227e-04 2.366e-05 5.916e-05 b_country_RUS -9.624e-05 9.788e-05 -6.775e-05 5.372e-05 b_country_BRA 3.1013e-04 5.792e-05 -1.9697e-04 -2.3527e-04 b_char_fast 1.380e-05 -1.2032e-04 -5.148e-05 1.387e-05 b_char_double -1.2268e-04 -2.1129e-04 -5.009e-05 -9.297e-05 b_risk -1.713e-07 -2.304e-07 -7.605e-08 1.147e-07 b_price -7.886e-06 -6.317e-05 -6.495e-05 -8.598e-05 lambda 1.6270e-04 -1.3425e-04 -8.763e-05 -1.3702e-04 gamma_reg_user 0.003089 -0.002362 -0.001973 -0.002214 gamma_university 0.003555 -0.001950 -0.002099 -0.001561 gamma_age_50 0.003343 -0.001969 -0.002365 -0.002081 zeta_quality 4.4645e-04 -5.3537e-04 -1.4590e-04 -3.7106e-04 zeta_ingredient 4.4841e-04 7.107e-05 7.846e-05 -9.984e-05 zeta_patent 0.002061 -6.3837e-04 -3.0411e-04 -6.4433e-04 zeta_dominance -0.001093 6.8704e-04 2.7548e-04 -0.002322 tau_quality_1 0.004611 -0.002746 -0.002897 -0.002669 tau_quality_2 0.004424 -0.002624 -0.002753 -0.002450 tau_quality_3 0.004256 -0.002567 -0.002942 -0.002351 tau_quality_4 0.004179 -0.002983 -0.002736 -0.002178 tau_ingredients_1 -0.004553 0.001698 0.002424 0.002583 tau_ingredients_2 -0.004263 0.002341 0.002658 0.002382 tau_ingredients_3 -0.004246 0.002706 0.002511 0.002532 tau_ingredients_4 -0.004582 0.002890 0.002657 0.002313 tau_patent_1 0.004005 -0.002350 -0.002509 -0.002300 tau_patent_2 0.005436 -0.002759 -0.002820 -0.002597 tau_patent_3 0.010105 -0.002869 -0.003102 -0.002965 tau_patent_4 0.015447 -0.003298 -0.003334 -0.002770 tau_dominance_1 -0.003298 0.014030 0.007025 0.003143 tau_dominance_2 -0.003334 0.007025 0.008330 0.003775 tau_dominance_3 -0.002770 0.003143 0.003775 0.008412 tau_dominance_4 -0.002208 0.002634 0.003225 0.007603 tau_dominance_4 b_brand_Novum 1.4482e-04 b_brand_BestValue -0.001526 b_brand_Supermarket -0.001614 b_brand_PainAway -0.001720 b_country_CH -3.457e-07 b_country_DK 4.306e-06 b_country_IND -1.1686e-04 b_country_RUS -1.7255e-04 b_country_BRA -2.7621e-04 b_char_fast -6.259e-05 b_char_double -1.9383e-04 b_risk -1.069e-07 b_price -6.768e-05 lambda -3.699e-05 gamma_reg_user -0.002292 gamma_university -0.001201 gamma_age_50 -0.001985 zeta_quality -5.8552e-04 zeta_ingredient -1.7825e-04 zeta_patent -2.0372e-04 zeta_dominance -0.003268 tau_quality_1 -0.002318 tau_quality_2 -0.002563 tau_quality_3 -0.002337 tau_quality_4 -0.002352 tau_ingredients_1 0.002358 tau_ingredients_2 0.002255 tau_ingredients_3 0.002289 tau_ingredients_4 0.002069 tau_patent_1 -0.002244 tau_patent_2 -0.002533 tau_patent_3 -0.002813 tau_patent_4 -0.002208 tau_dominance_1 0.002634 tau_dominance_2 0.003225 tau_dominance_3 0.007603 tau_dominance_4 0.012648 Classical correlation matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_PainAway b_brand_Novum 1.000000 0.20209 0.24572 0.21324 b_brand_BestValue 0.202089 1.00000 0.79071 0.74605 b_brand_Supermarket 0.245724 0.79071 1.00000 0.74775 b_brand_PainAway 0.213239 0.74605 0.74775 1.00000 b_country_CH -0.054104 0.24338 0.23634 0.18759 b_country_DK -0.047151 0.22796 0.23729 0.19466 b_country_IND -0.033220 -0.35363 -0.36601 -0.31807 b_country_RUS -0.037777 -0.32655 -0.33784 -0.27244 b_country_BRA -0.006582 -0.30749 -0.36479 -0.29585 b_char_fast 0.011678 -0.01038 0.03354 -0.04235 b_char_double 0.065559 0.13386 0.15741 0.09648 b_risk 0.001589 -0.15289 -0.16223 -0.04215 b_price 0.066140 0.25543 0.23189 0.29550 lambda -0.012314 -0.13145 -0.12043 -0.15275 gamma_reg_user 0.001445 0.24764 0.24878 0.24091 gamma_university -0.002687 0.27498 0.27344 0.27189 gamma_age_50 -1.9599e-04 0.28639 0.28131 0.28197 zeta_quality -4.2794e-04 0.03706 0.03457 0.03572 zeta_ingredient -0.002599 -0.02926 -0.02817 -0.03043 zeta_patent 0.001700 0.01872 0.02355 0.01898 zeta_dominance 6.9373e-04 -0.03045 -0.03284 -0.03086 tau_quality_1 1.0890e-04 0.25279 0.25278 0.24849 tau_quality_2 1.5411e-04 0.29996 0.29924 0.29495 tau_quality_3 -6.970e-05 0.32049 0.31758 0.31516 tau_quality_4 -2.1621e-04 0.25639 0.25336 0.25199 tau_ingredients_1 -2.2377e-04 -0.24853 -0.24610 -0.24477 tau_ingredients_2 3.3617e-04 -0.30721 -0.30449 -0.30197 tau_ingredients_3 0.001583 -0.29051 -0.28867 -0.28423 tau_ingredients_4 0.001877 -0.24388 -0.24278 -0.23823 tau_patent_1 -0.001374 0.26879 0.26360 0.26335 tau_patent_2 -0.001259 0.32288 0.31803 0.31675 tau_patent_3 -5.2546e-04 0.34702 0.34418 0.34135 tau_patent_4 -3.615e-05 0.29821 0.29645 0.29350 tau_dominance_1 2.9272e-04 -0.19481 -0.19334 -0.19168 tau_dominance_2 4.2541e-04 -0.25535 -0.25303 -0.25107 tau_dominance_3 1.4912e-04 -0.23973 -0.23650 -0.23486 tau_dominance_4 -1.5307e-04 -0.18973 -0.18684 -0.18563 b_country_CH b_country_DK b_country_IND b_country_RUS b_brand_Novum -0.054104 -0.047151 -0.033220 -0.037777 b_brand_BestValue 0.243382 0.227958 -0.353630 -0.326551 b_brand_Supermarket 0.236339 0.237287 -0.366006 -0.337841 b_brand_PainAway 0.187591 0.194655 -0.318074 -0.272443 b_country_CH 1.000000 0.492876 0.007181 -0.031944 b_country_DK 0.492876 1.000000 0.042712 0.005438 b_country_IND 0.007181 0.042712 1.000000 0.442510 b_country_RUS -0.031944 0.005438 0.442510 1.000000 b_country_BRA -0.033181 7.0989e-04 0.466263 0.424247 b_char_fast 0.076366 0.034335 -0.056072 -0.063115 b_char_double 0.088338 0.020847 -0.026481 -0.033710 b_risk -0.064833 -0.027769 0.051871 0.060623 b_price -0.121245 -0.047658 0.024378 0.044991 lambda 0.038027 0.012103 0.001954 -0.043985 gamma_reg_user 4.8534e-04 -4.7939e-04 8.4684e-04 -0.002621 gamma_university 7.5914e-04 -0.002604 0.003216 -0.001037 gamma_age_50 -0.002278 9.9710e-04 -0.005260 0.004160 zeta_quality 9.0891e-04 -0.002802 0.004943 0.001598 zeta_ingredient 0.002401 -5.0822e-04 0.001443 -0.001248 zeta_patent -0.001858 -0.003853 0.007016 -0.001509 zeta_dominance 4.1108e-04 0.001974 -0.001221 -0.001451 tau_quality_1 -8.0610e-04 0.001243 -0.003343 -0.001426 tau_quality_2 -9.6582e-04 8.7219e-04 -0.002774 -9.8076e-04 tau_quality_3 -7.4661e-04 -8.1685e-04 -2.9191e-04 7.3201e-04 tau_quality_4 -4.0191e-04 -0.001077 5.1996e-04 0.001061 tau_ingredients_1 0.001169 1.0489e-04 0.001043 -8.6663e-04 tau_ingredients_2 6.5047e-04 2.2656e-04 6.8437e-04 -4.3890e-04 tau_ingredients_3 -9.0585e-04 6.7955e-04 -4.0752e-04 8.1668e-04 tau_ingredients_4 -0.001224 8.6308e-04 -8.2570e-04 0.001067 tau_patent_1 7.4069e-04 0.002041 -0.004740 9.4476e-04 tau_patent_2 1.9114e-04 0.001298 -0.003703 9.8002e-04 tau_patent_3 -0.001046 -9.3557e-04 -7.790e-05 7.8852e-04 tau_patent_4 -0.001351 -0.001491 0.001029 5.9431e-04 tau_dominance_1 5.9254e-04 5.7334e-04 5.3021e-04 -7.1198e-04 tau_dominance_2 7.1420e-04 5.6793e-04 6.9507e-04 -5.7984e-04 tau_dominance_3 1.3749e-04 -4.8751e-04 7.1789e-04 5.8746e-04 tau_dominance_4 -9.933e-05 -7.8899e-04 8.3491e-04 8.9082e-04 b_country_BRA b_char_fast b_char_double b_risk b_brand_Novum -0.006582 0.011678 0.065559 0.001589 b_brand_BestValue -0.307490 -0.010376 0.133861 -0.152889 b_brand_Supermarket -0.364790 0.033541 0.157410 -0.162230 b_brand_PainAway -0.295849 -0.042354 0.096484 -0.042154 b_country_CH -0.033181 0.076366 0.088338 -0.064833 b_country_DK 7.0989e-04 0.034335 0.020847 -0.027769 b_country_IND 0.466263 -0.056072 -0.026481 0.051871 b_country_RUS 0.424247 -0.063115 -0.033710 0.060623 b_country_BRA 1.000000 -0.068483 -0.050764 0.031768 b_char_fast -0.068483 1.000000 0.455482 -0.082235 b_char_double -0.050764 0.455482 1.000000 -0.050838 b_risk 0.031768 -0.082235 -0.050838 1.000000 b_price 0.067244 -0.141112 -0.173131 0.118682 lambda -0.025436 0.065542 0.067547 -0.053774 gamma_reg_user -0.001591 0.001665 0.002528 -0.001268 gamma_university 1.9764e-04 0.002031 0.001005 5.0124e-04 gamma_age_50 0.001616 0.001656 -0.002293 -0.002500 zeta_quality 0.004461 -0.002571 -0.001255 0.008766 zeta_ingredient 7.0652e-04 0.007676 0.005101 -0.004843 zeta_patent -0.002973 -0.007963 -0.004501 0.006050 zeta_dominance -0.003605 -8.8797e-04 0.001998 -0.001430 tau_quality_1 -0.003465 0.002885 0.001358 -0.006114 tau_quality_2 -0.003056 0.002290 0.001018 -0.004739 tau_quality_3 2.5861e-04 2.3236e-04 -4.1543e-04 4.9513e-04 tau_quality_4 0.001341 -9.275e-05 -6.6903e-04 0.001888 tau_ingredients_1 3.5232e-04 7.0361e-04 0.001289 -3.9182e-04 tau_ingredients_2 5.3532e-04 -0.001280 -1.7613e-04 8.5646e-04 tau_ingredients_3 1.4577e-04 -0.005409 -0.003307 0.003234 tau_ingredients_4 -1.1979e-04 -0.006087 -0.003800 0.003588 tau_patent_1 0.001971 0.006718 0.003603 -0.004591 tau_patent_2 0.001439 0.005615 0.002691 -0.003691 tau_patent_3 -1.8225e-04 7.8125e-04 -5.3272e-04 -1.6754e-04 tau_patent_4 -6.5902e-04 -0.001159 -0.001617 0.001107 tau_dominance_1 -5.3595e-04 -7.6774e-04 4.7065e-04 2.1389e-04 tau_dominance_2 7.084e-05 -9.1459e-04 2.3264e-04 5.4387e-04 tau_dominance_3 0.001943 -9.7732e-04 -0.001272 0.001357 tau_dominance_4 0.002176 -6.3868e-04 -0.001513 0.001352 b_price lambda gamma_reg_user gamma_university b_brand_Novum 0.066140 -0.012314 0.001445 -0.002687 b_brand_BestValue 0.255428 -0.131452 0.247641 0.274976 b_brand_Supermarket 0.231891 -0.120434 0.248781 0.273440 b_brand_PainAway 0.295498 -0.152751 0.240913 0.271893 b_country_CH -0.121245 0.038027 4.8534e-04 7.5914e-04 b_country_DK -0.047658 0.012103 -4.7939e-04 -0.002604 b_country_IND 0.024378 0.001954 8.4684e-04 0.003216 b_country_RUS 0.044991 -0.043985 -0.002621 -0.001037 b_country_BRA 0.067244 -0.025436 -0.001591 1.9764e-04 b_char_fast -0.141112 0.065542 0.001665 0.002031 b_char_double -0.173131 0.067547 0.002528 0.001005 b_risk 0.118682 -0.053774 -0.001268 5.0124e-04 b_price 1.000000 -0.066827 -0.007319 -0.004962 lambda -0.066827 1.000000 0.291440 0.180854 gamma_reg_user -0.007319 0.291440 1.000000 0.137441 gamma_university -0.004962 0.180854 0.137441 1.000000 gamma_age_50 0.006222 -0.138533 -0.025333 -0.030283 zeta_quality -0.004009 0.150943 0.196774 0.122375 zeta_ingredient -0.002366 -0.125747 -0.164742 -0.111669 zeta_patent -0.002184 0.134280 0.167967 0.105650 zeta_dominance 0.002058 -0.131353 -0.119681 -0.135369 tau_quality_1 2.8155e-04 0.048263 0.205178 0.243997 tau_quality_2 4.076e-05 0.049105 0.251807 0.289214 tau_quality_3 -0.001003 0.042816 0.292536 0.312903 tau_quality_4 -0.001323 0.036448 0.243251 0.254155 tau_ingredients_1 -1.399e-05 -0.033498 -0.230625 -0.245676 tau_ingredients_2 0.001060 -0.044725 -0.277722 -0.299419 tau_ingredients_3 0.003485 -0.059554 -0.253406 -0.280527 tau_ingredients_4 0.003871 -0.058635 -0.210642 -0.235399 tau_patent_1 -8.9759e-04 0.063786 0.229856 0.256959 tau_patent_2 -7.3033e-04 0.061382 0.277388 0.310312 tau_patent_3 -6.4402e-04 0.043985 0.308461 0.339219 tau_patent_4 -7.1678e-04 0.034384 0.273267 0.292656 tau_dominance_1 5.8241e-04 -0.029272 -0.175645 -0.195731 tau_dominance_2 4.9821e-04 -0.036313 -0.230380 -0.248414 tau_dominance_3 5.4034e-04 -0.037463 -0.222053 -0.213412 tau_dominance_4 5.3321e-04 -0.032913 -0.179416 -0.162209 gamma_age_50 zeta_quality zeta_ingredient zeta_patent b_brand_Novum -1.9599e-04 -4.2794e-04 -0.002599 0.001700 b_brand_BestValue 0.286393 0.037065 -0.029256 0.018722 b_brand_Supermarket 0.281310 0.034567 -0.028174 0.023548 b_brand_PainAway 0.281971 0.035721 -0.030433 0.018978 b_country_CH -0.002278 9.0891e-04 0.002401 -0.001858 b_country_DK 9.9710e-04 -0.002802 -5.0822e-04 -0.003853 b_country_IND -0.005260 0.004943 0.001443 0.007016 b_country_RUS 0.004160 0.001598 -0.001248 -0.001509 b_country_BRA 0.001616 0.004461 7.0652e-04 -0.002973 b_char_fast 0.001656 -0.002571 0.007676 -0.007963 b_char_double -0.002293 -0.001255 0.005101 -0.004501 b_risk -0.002500 0.008766 -0.004843 0.006050 b_price 0.006222 -0.004009 -0.002366 -0.002184 lambda -0.138533 0.150943 -0.125747 0.134280 gamma_reg_user -0.025333 0.196774 -0.164742 0.167967 gamma_university -0.030283 0.122375 -0.111669 0.105650 gamma_age_50 1.000000 -0.093115 0.110430 -0.123270 zeta_quality -0.093115 1.000000 -0.107027 0.069418 zeta_ingredient 0.110430 -0.107027 1.000000 -0.094403 zeta_patent -0.123270 0.069418 -0.094403 1.000000 zeta_dominance 0.051384 -0.065204 0.078014 -0.041010 tau_quality_1 0.271747 -0.492917 -0.008645 0.032565 tau_quality_2 0.311480 -0.391425 -0.014241 0.033227 tau_quality_3 0.309315 0.094547 -0.022663 0.013674 tau_quality_4 0.240877 0.221395 -0.019623 0.002167 tau_ingredients_1 -0.233099 -0.030229 0.164819 -0.008136 tau_ingredients_2 -0.300345 -0.033040 0.024313 -0.008921 tau_ingredients_3 -0.308383 -0.026757 -0.381387 -0.011331 tau_ingredients_4 -0.269900 -0.022215 -0.478822 -0.011552 tau_patent_1 0.295642 0.051867 -0.020737 -0.526728 tau_patent_2 0.341178 0.051799 -0.021522 -0.404926 tau_patent_3 0.340229 0.035925 -0.016743 0.050855 tau_patent_4 0.282245 0.022979 -0.014120 0.202118 tau_dominance_1 -0.190294 -0.019239 0.011835 -3.2904e-04 tau_dominance_2 -0.250811 -0.028035 0.016934 -0.009662 tau_dominance_3 -0.238730 -0.038534 0.016026 -0.030940 tau_dominance_4 -0.190185 -0.034826 0.012582 -0.030868 zeta_dominance tau_quality_1 tau_quality_2 tau_quality_3 b_brand_Novum 6.9373e-04 1.0890e-04 1.5411e-04 -6.970e-05 b_brand_BestValue -0.030451 0.252792 0.299965 0.320489 b_brand_Supermarket -0.032838 0.252780 0.299245 0.317579 b_brand_PainAway -0.030858 0.248487 0.294949 0.315158 b_country_CH 4.1108e-04 -8.0610e-04 -9.6582e-04 -7.4661e-04 b_country_DK 0.001974 0.001243 8.7219e-04 -8.1685e-04 b_country_IND -0.001221 -0.003343 -0.002774 -2.9191e-04 b_country_RUS -0.001451 -0.001426 -9.8076e-04 7.3201e-04 b_country_BRA -0.003605 -0.003465 -0.003056 2.5861e-04 b_char_fast -8.8797e-04 0.002885 0.002290 2.3236e-04 b_char_double 0.001998 0.001358 0.001018 -4.1543e-04 b_risk -0.001430 -0.006114 -0.004739 4.9513e-04 b_price 0.002058 2.8155e-04 4.076e-05 -0.001003 lambda -0.131353 0.048263 0.049105 0.042816 gamma_reg_user -0.119681 0.205178 0.251807 0.292536 gamma_university -0.135369 0.243997 0.289214 0.312903 gamma_age_50 0.051384 0.271747 0.311480 0.309315 zeta_quality -0.065204 -0.492917 -0.391425 0.094547 zeta_ingredient 0.078014 -0.008645 -0.014241 -0.022663 zeta_patent -0.041010 0.032565 0.033227 0.013674 zeta_dominance 1.000000 -0.039139 -0.042519 -0.034543 tau_quality_1 -0.039139 1.000000 0.813827 0.360302 tau_quality_2 -0.042519 0.813827 1.000000 0.485671 tau_quality_3 -0.034543 0.360302 0.485671 1.000000 tau_quality_4 -0.024311 0.182125 0.282934 0.680892 tau_ingredients_1 0.027974 -0.222443 -0.261124 -0.275558 tau_ingredients_2 0.035830 -0.277613 -0.325754 -0.342413 tau_ingredients_3 0.032328 -0.268989 -0.315123 -0.330432 tau_ingredients_4 0.027296 -0.228402 -0.267396 -0.281218 tau_patent_1 -0.054402 0.230140 0.275274 0.307878 tau_patent_2 -0.052950 0.281232 0.334500 0.365372 tau_patent_3 -0.034070 0.313522 0.368183 0.386870 tau_patent_4 -0.020637 0.275231 0.320857 0.331008 tau_dominance_1 0.103646 -0.178301 -0.208411 -0.217788 tau_dominance_2 0.001908 -0.230448 -0.270631 -0.285292 tau_dominance_3 -0.408438 -0.206929 -0.246664 -0.269208 tau_dominance_4 -0.462346 -0.160999 -0.192957 -0.214193 tau_quality_4 tau_ingredients_1 tau_ingredients_2 tau_ingredients_3 b_brand_Novum -2.1621e-04 -2.2377e-04 3.3617e-04 0.001583 b_brand_BestValue 0.256389 -0.248533 -0.307214 -0.290507 b_brand_Supermarket 0.253356 -0.246099 -0.304487 -0.288671 b_brand_PainAway 0.251989 -0.244769 -0.301966 -0.284228 b_country_CH -4.0191e-04 0.001169 6.5047e-04 -9.0585e-04 b_country_DK -0.001077 1.0489e-04 2.2656e-04 6.7955e-04 b_country_IND 5.1996e-04 0.001043 6.8437e-04 -4.0752e-04 b_country_RUS 0.001061 -8.6663e-04 -4.3890e-04 8.1668e-04 b_country_BRA 0.001341 3.5232e-04 5.3532e-04 1.4577e-04 b_char_fast -9.275e-05 7.0361e-04 -0.001280 -0.005409 b_char_double -6.6903e-04 0.001289 -1.7613e-04 -0.003307 b_risk 0.001888 -3.9182e-04 8.5646e-04 0.003234 b_price -0.001323 -1.399e-05 0.001060 0.003485 lambda 0.036448 -0.033498 -0.044725 -0.059554 gamma_reg_user 0.243251 -0.230625 -0.277722 -0.253406 gamma_university 0.254155 -0.245676 -0.299419 -0.280527 gamma_age_50 0.240877 -0.233099 -0.300345 -0.308383 zeta_quality 0.221395 -0.030229 -0.033040 -0.026757 zeta_ingredient -0.019623 0.164819 0.024313 -0.381387 zeta_patent 0.002167 -0.008136 -0.008921 -0.011331 zeta_dominance -0.024311 0.027974 0.035830 0.032328 tau_quality_1 0.182125 -0.222443 -0.277613 -0.268989 tau_quality_2 0.282934 -0.261124 -0.325754 -0.315123 tau_quality_3 0.680892 -0.275558 -0.342413 -0.330432 tau_quality_4 1.000000 -0.220635 -0.273359 -0.264094 tau_ingredients_1 -0.220635 1.000000 0.675271 0.320536 tau_ingredients_2 -0.273359 0.675271 1.000000 0.531554 tau_ingredients_3 -0.264094 0.320536 0.531554 1.000000 tau_ingredients_4 -0.225551 0.215223 0.397377 0.792772 tau_patent_1 0.253480 -0.241029 -0.298172 -0.282959 tau_patent_2 0.297065 -0.284023 -0.352891 -0.338027 tau_patent_3 0.308101 -0.297405 -0.371406 -0.361143 tau_patent_4 0.261510 -0.254240 -0.317218 -0.309779 tau_dominance_1 -0.173795 0.168665 0.209724 0.203082 tau_dominance_2 -0.228110 0.220640 0.273757 0.264262 tau_dominance_3 -0.218134 0.207817 0.256615 0.247322 tau_dominance_4 -0.174921 0.165528 0.203690 0.196024 tau_ingredients_4 tau_patent_1 tau_patent_2 tau_patent_3 b_brand_Novum 0.001877 -0.001374 -0.001259 -5.2546e-04 b_brand_BestValue -0.243884 0.268793 0.322879 0.347024 b_brand_Supermarket -0.242784 0.263604 0.318035 0.344176 b_brand_PainAway -0.238231 0.263347 0.316752 0.341347 b_country_CH -0.001224 7.4069e-04 1.9114e-04 -0.001046 b_country_DK 8.6308e-04 0.002041 0.001298 -9.3557e-04 b_country_IND -8.2570e-04 -0.004740 -0.003703 -7.790e-05 b_country_RUS 0.001067 9.4476e-04 9.8002e-04 7.8852e-04 b_country_BRA -1.1979e-04 0.001971 0.001439 -1.8225e-04 b_char_fast -0.006087 0.006718 0.005615 7.8125e-04 b_char_double -0.003800 0.003603 0.002691 -5.3272e-04 b_risk 0.003588 -0.004591 -0.003691 -1.6754e-04 b_price 0.003871 -8.9759e-04 -7.3033e-04 -6.4402e-04 lambda -0.058635 0.063786 0.061382 0.043985 gamma_reg_user -0.210642 0.229856 0.277388 0.308461 gamma_university -0.235399 0.256959 0.310312 0.339219 gamma_age_50 -0.269900 0.295642 0.341178 0.340229 zeta_quality -0.022215 0.051867 0.051799 0.035925 zeta_ingredient -0.478822 -0.020737 -0.021522 -0.016743 zeta_patent -0.011552 -0.526728 -0.404926 0.050855 zeta_dominance 0.027296 -0.054402 -0.052950 -0.034070 tau_quality_1 -0.228402 0.230140 0.281232 0.313522 tau_quality_2 -0.267396 0.275274 0.334500 0.368183 tau_quality_3 -0.281218 0.307878 0.365372 0.386870 tau_quality_4 -0.225551 0.253480 0.297065 0.308101 tau_ingredients_1 0.215223 -0.241029 -0.284023 -0.297405 tau_ingredients_2 0.397377 -0.298172 -0.352891 -0.371406 tau_ingredients_3 0.792772 -0.282959 -0.338027 -0.361143 tau_ingredients_4 1.000000 -0.238085 -0.285564 -0.308261 tau_patent_1 -0.238085 1.000000 0.805900 0.405909 tau_patent_2 -0.285564 0.805900 1.000000 0.552513 tau_patent_3 -0.308261 0.405909 0.552513 1.000000 tau_patent_4 -0.265491 0.232964 0.362194 0.745862 tau_dominance_1 0.173332 -0.193336 -0.226933 -0.235876 tau_dominance_2 0.224955 -0.246319 -0.292248 -0.309442 tau_dominance_3 0.209944 -0.216833 -0.264097 -0.292683 tau_dominance_4 0.166318 -0.167972 -0.206453 -0.232953 tau_patent_4 tau_dominance_1 tau_dominance_2 tau_dominance_3 b_brand_Novum -3.615e-05 2.9272e-04 4.2541e-04 1.4912e-04 b_brand_BestValue 0.298207 -0.19481 -0.255355 -0.239727 b_brand_Supermarket 0.296446 -0.19334 -0.253034 -0.236504 b_brand_PainAway 0.293501 -0.19168 -0.251071 -0.234864 b_country_CH -0.001351 5.9254e-04 7.1420e-04 1.3749e-04 b_country_DK -0.001491 5.7334e-04 5.6793e-04 -4.8751e-04 b_country_IND 0.001029 5.3021e-04 6.9507e-04 7.1789e-04 b_country_RUS 5.9431e-04 -7.1198e-04 -5.7984e-04 5.8746e-04 b_country_BRA -6.5902e-04 -5.3595e-04 7.084e-05 0.001943 b_char_fast -0.001159 -7.6774e-04 -9.1459e-04 -9.7732e-04 b_char_double -0.001617 4.7065e-04 2.3264e-04 -0.001272 b_risk 0.001107 2.1389e-04 5.4387e-04 0.001357 b_price -7.1678e-04 5.8241e-04 4.9821e-04 5.4034e-04 lambda 0.034384 -0.02927 -0.036313 -0.037463 gamma_reg_user 0.273267 -0.17564 -0.230380 -0.222053 gamma_university 0.292656 -0.19573 -0.248414 -0.213412 gamma_age_50 0.282245 -0.19029 -0.250811 -0.238730 zeta_quality 0.022979 -0.01924 -0.028035 -0.038534 zeta_ingredient -0.014120 0.01184 0.016934 0.016026 zeta_patent 0.202118 -3.2904e-04 -0.009662 -0.030940 zeta_dominance -0.020637 0.10365 0.001908 -0.408438 tau_quality_1 0.275231 -0.17830 -0.230448 -0.206929 tau_quality_2 0.320857 -0.20841 -0.270631 -0.246664 tau_quality_3 0.331008 -0.21779 -0.285292 -0.269208 tau_quality_4 0.261510 -0.17379 -0.228110 -0.218134 tau_ingredients_1 -0.254240 0.16867 0.220640 0.207817 tau_ingredients_2 -0.317218 0.20972 0.273757 0.256615 tau_ingredients_3 -0.309779 0.20308 0.264262 0.247322 tau_ingredients_4 -0.265491 0.17333 0.224955 0.209944 tau_patent_1 0.232964 -0.19334 -0.246319 -0.216833 tau_patent_2 0.362194 -0.22693 -0.292248 -0.264097 tau_patent_3 0.745862 -0.23588 -0.309442 -0.292683 tau_patent_4 1.000000 -0.20045 -0.264943 -0.255767 tau_dominance_1 -0.200448 1.00000 0.638492 0.256122 tau_dominance_2 -0.264943 0.63849 1.000000 0.444233 tau_dominance_3 -0.255767 0.25612 0.444233 1.000000 tau_dominance_4 -0.205406 0.16457 0.312078 0.740102 tau_dominance_4 b_brand_Novum -1.5307e-04 b_brand_BestValue -0.189729 b_brand_Supermarket -0.186839 b_brand_PainAway -0.185631 b_country_CH -9.933e-05 b_country_DK -7.8899e-04 b_country_IND 8.3491e-04 b_country_RUS 8.9082e-04 b_country_BRA 0.002176 b_char_fast -6.3868e-04 b_char_double -0.001513 b_risk 0.001352 b_price 5.3321e-04 lambda -0.032913 gamma_reg_user -0.179416 gamma_university -0.162209 gamma_age_50 -0.190185 zeta_quality -0.034826 zeta_ingredient 0.012582 zeta_patent -0.030868 zeta_dominance -0.462346 tau_quality_1 -0.160999 tau_quality_2 -0.192957 tau_quality_3 -0.214193 tau_quality_4 -0.174921 tau_ingredients_1 0.165528 tau_ingredients_2 0.203690 tau_ingredients_3 0.196024 tau_ingredients_4 0.166318 tau_patent_1 -0.167972 tau_patent_2 -0.206453 tau_patent_3 -0.232953 tau_patent_4 -0.205406 tau_dominance_1 0.164574 tau_dominance_2 0.312078 tau_dominance_3 0.740102 tau_dominance_4 1.000000 Robust correlation matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_PainAway b_brand_Novum 1.000000 0.186781 0.21451 0.17238 b_brand_BestValue 0.186781 1.000000 0.76841 0.73609 b_brand_Supermarket 0.214514 0.768411 1.00000 0.75444 b_brand_PainAway 0.172382 0.736094 0.75444 1.00000 b_country_CH -0.101632 0.170897 0.18675 0.14174 b_country_DK -0.037979 0.147097 0.18828 0.15375 b_country_IND -0.032066 -0.386021 -0.37816 -0.32890 b_country_RUS -0.027100 -0.362572 -0.33623 -0.30250 b_country_BRA 0.018605 -0.310135 -0.37102 -0.28052 b_char_fast -0.054846 -0.010091 0.05361 -0.03329 b_char_double -0.013496 0.129277 0.14546 0.07371 b_risk 0.071912 -0.101926 -0.11860 -0.04074 b_price 0.076683 0.264116 0.23131 0.29441 lambda -0.047687 -0.128695 -0.09401 -0.12377 gamma_reg_user -0.001141 0.249216 0.26813 0.26397 gamma_university -0.013301 0.266479 0.25250 0.26401 gamma_age_50 -0.024712 0.324635 0.33145 0.33620 zeta_quality 0.005114 0.048397 0.04452 0.05711 zeta_ingredient -0.016311 0.007685 0.03364 0.04757 zeta_patent 0.034957 0.032297 0.04521 0.04877 zeta_dominance -0.034377 -0.068963 -0.07724 -0.05950 tau_quality_1 0.007236 0.248677 0.27158 0.26375 tau_quality_2 -0.013450 0.299577 0.29824 0.29338 tau_quality_3 0.022006 0.323835 0.33605 0.34631 tau_quality_4 0.020003 0.265617 0.26007 0.27263 tau_ingredients_1 -0.019673 -0.240318 -0.24214 -0.24971 tau_ingredients_2 -0.018824 -0.325364 -0.32763 -0.30486 tau_ingredients_3 8.4829e-04 -0.318969 -0.34634 -0.31919 tau_ingredients_4 -0.006760 -0.251569 -0.29198 -0.29024 tau_patent_1 0.002333 0.254244 0.25237 0.23030 tau_patent_2 0.010071 0.320401 0.32010 0.31273 tau_patent_3 -0.035750 0.339436 0.35485 0.34739 tau_patent_4 -0.020927 0.322843 0.32962 0.31837 tau_dominance_1 -0.006445 -0.249127 -0.28479 -0.23916 tau_dominance_2 -0.007139 -0.273636 -0.31724 -0.28381 tau_dominance_3 -0.007449 -0.273510 -0.28222 -0.29419 tau_dominance_4 0.040317 -0.181792 -0.18532 -0.20082 b_country_CH b_country_DK b_country_IND b_country_RUS b_brand_Novum -0.101632 -0.037979 -0.032066 -0.027100 b_brand_BestValue 0.170897 0.147097 -0.386021 -0.362572 b_brand_Supermarket 0.186750 0.188277 -0.378161 -0.336230 b_brand_PainAway 0.141741 0.153747 -0.328903 -0.302499 b_country_CH 1.000000 0.470661 -0.024747 -0.061799 b_country_DK 0.470661 1.000000 0.022922 -0.007206 b_country_IND -0.024747 0.022922 1.000000 0.410209 b_country_RUS -0.061799 -0.007206 0.410209 1.000000 b_country_BRA -0.045791 0.001486 0.515017 0.495931 b_char_fast 0.103340 0.006642 -0.086762 -0.084620 b_char_double 0.079474 -0.015595 -0.038034 -0.047072 b_risk -0.006795 0.046649 0.069665 0.072412 b_price -0.120935 -0.059818 0.056663 0.028171 lambda 0.075865 0.027849 0.031998 -0.088941 gamma_reg_user -0.004567 0.001633 0.027379 -0.008593 gamma_university -0.051155 -0.031957 0.016979 0.009438 gamma_age_50 -0.014817 -0.027974 -0.034573 -0.009262 zeta_quality -0.009081 -0.023867 0.028450 -0.010012 zeta_ingredient 0.031044 -0.007361 -0.021667 -0.023329 zeta_patent -0.029831 -0.014657 -0.014629 0.012528 zeta_dominance -0.019147 -0.009320 0.003150 7.3281e-04 tau_quality_1 -0.013538 -0.019565 0.001279 -0.013067 tau_quality_2 -0.040943 -0.022959 -0.005200 -0.015006 tau_quality_3 -0.048261 -0.026999 0.011214 -0.023009 tau_quality_4 -0.043488 -0.021478 -0.013985 -0.011666 tau_ingredients_1 0.033684 -0.002371 0.004960 -0.022086 tau_ingredients_2 0.054033 0.050742 0.018418 -0.009632 tau_ingredients_3 0.019697 0.016082 0.032100 0.015417 tau_ingredients_4 -0.006513 0.050636 0.007750 -0.003681 tau_patent_1 -0.013270 -0.040352 0.050466 -3.5168e-04 tau_patent_2 -0.014822 -0.036044 0.029087 6.0069e-04 tau_patent_3 0.020588 -0.020086 -0.019931 -0.010253 tau_patent_4 0.018069 -0.031787 -0.031677 -0.012668 tau_dominance_1 -0.023357 -0.021482 0.039598 0.013519 tau_dominance_2 -0.008264 0.024002 0.004466 -0.012145 tau_dominance_3 -0.008080 -0.023828 0.011112 0.009581 tau_dominance_4 -7.927e-05 0.001019 -0.017900 -0.025100 b_country_BRA b_char_fast b_char_double b_risk b_brand_Novum 0.018605 -0.054846 -0.013496 0.071912 b_brand_BestValue -0.310135 -0.010091 0.129277 -0.101926 b_brand_Supermarket -0.371018 0.053612 0.145461 -0.118604 b_brand_PainAway -0.280519 -0.033291 0.073709 -0.040741 b_country_CH -0.045791 0.103340 0.079474 -0.006795 b_country_DK 0.001486 0.006642 -0.015595 0.046649 b_country_IND 0.515017 -0.086762 -0.038034 0.069665 b_country_RUS 0.495931 -0.084620 -0.047072 0.072412 b_country_BRA 1.000000 -0.104016 -0.060849 0.032990 b_char_fast -0.104016 1.000000 0.435671 -0.092001 b_char_double -0.060849 0.435671 1.000000 -0.010430 b_risk 0.032990 -0.092001 -0.010430 1.000000 b_price 0.055268 -0.148280 -0.183550 0.122307 lambda -0.018204 0.089597 0.054842 -0.054906 gamma_reg_user 0.057064 0.022237 0.013735 0.031592 gamma_university 0.056484 -0.064726 2.8484e-04 0.029302 gamma_age_50 -0.013464 0.076814 0.027069 -0.073433 zeta_quality 0.018435 0.011335 -0.016124 0.050716 zeta_ingredient -0.021344 0.012530 0.054480 0.022058 zeta_patent 0.012113 -0.026435 0.014547 -0.021919 zeta_dominance 0.012266 -0.001741 -0.004454 -0.003659 tau_quality_1 0.029464 0.021170 -0.001555 -0.009018 tau_quality_2 0.020868 0.010178 -0.013928 0.001482 tau_quality_3 0.027469 0.005089 -0.043178 0.023390 tau_quality_4 0.021309 0.007076 -0.058729 0.025428 tau_ingredients_1 -0.055651 0.027829 0.024342 0.032188 tau_ingredients_2 -0.015522 -0.017945 -0.041320 0.039731 tau_ingredients_3 0.001598 -0.013703 -0.042532 0.012521 tau_ingredients_4 0.005233 -0.017690 -0.039498 0.030880 tau_patent_1 0.060516 0.040616 0.019467 -0.024153 tau_patent_2 0.050177 0.049654 -0.011416 -0.018080 tau_patent_3 0.050878 0.011509 -0.032885 -0.001593 tau_patent_4 0.040377 0.003842 -0.026972 -0.023189 tau_dominance_1 0.007913 -0.035153 -0.048743 -0.032725 tau_dominance_2 -0.034920 -0.019520 -0.014995 -0.014020 tau_dominance_3 -0.041508 0.005235 -0.027698 0.021051 tau_dominance_4 -0.039740 -0.019258 -0.047094 -0.015991 b_price lambda gamma_reg_user gamma_university b_brand_Novum 0.076683 -0.04769 -0.001141 -0.013301 b_brand_BestValue 0.264116 -0.12870 0.249216 0.266479 b_brand_Supermarket 0.231314 -0.09401 0.268132 0.252496 b_brand_PainAway 0.294407 -0.12377 0.263971 0.264011 b_country_CH -0.120935 0.07586 -0.004567 -0.051155 b_country_DK -0.059818 0.02785 0.001633 -0.031957 b_country_IND 0.056663 0.03200 0.027379 0.016979 b_country_RUS 0.028171 -0.08894 -0.008593 0.009438 b_country_BRA 0.055268 -0.01820 0.057064 0.056484 b_char_fast -0.148280 0.08960 0.022237 -0.064726 b_char_double -0.183550 0.05484 0.013735 2.8484e-04 b_risk 0.122307 -0.05491 0.031592 0.029302 b_price 1.000000 -0.06972 0.004024 -0.018215 lambda -0.069723 1.00000 0.299416 0.178578 gamma_reg_user 0.004024 0.29942 1.000000 0.150914 gamma_university -0.018215 0.17858 0.150914 1.000000 gamma_age_50 0.027880 -0.06122 0.061424 -0.003538 zeta_quality 0.010797 0.11951 0.244192 0.123841 zeta_ingredient 0.023767 -0.13822 -0.123028 -0.134352 zeta_patent 0.041193 0.10818 0.142392 0.097039 zeta_dominance 0.068576 -0.15131 -0.108688 -0.267293 tau_quality_1 0.026870 0.09303 0.228441 0.279443 tau_quality_2 0.014635 0.08057 0.275622 0.316758 tau_quality_3 0.025696 0.04954 0.322299 0.306988 tau_quality_4 -0.009151 0.02060 0.266683 0.258752 tau_ingredients_1 -0.014097 -0.03996 -0.214983 -0.266231 tau_ingredients_2 -0.021316 -0.04079 -0.275595 -0.307239 tau_ingredients_3 -0.048724 -0.08192 -0.275231 -0.273938 tau_ingredients_4 -0.019817 -0.05602 -0.219387 -0.203535 tau_patent_1 0.010325 0.09454 0.259419 0.253915 tau_patent_2 0.004788 0.09088 0.313642 0.342704 tau_patent_3 -0.002880 0.07441 0.327582 0.372748 tau_patent_4 -0.003671 0.04122 0.268200 0.329701 tau_dominance_1 -0.030853 -0.03569 -0.215187 -0.189725 tau_dominance_2 -0.041172 -0.03023 -0.233273 -0.265065 tau_dominance_3 -0.054239 -0.04704 -0.260484 -0.196107 tau_dominance_4 -0.034817 -0.01036 -0.219864 -0.123116 gamma_age_50 zeta_quality zeta_ingredient zeta_patent b_brand_Novum -0.024712 0.005114 -0.016311 0.034957 b_brand_BestValue 0.324635 0.048397 0.007685 0.032297 b_brand_Supermarket 0.331446 0.044519 0.033638 0.045210 b_brand_PainAway 0.336204 0.057109 0.047568 0.048774 b_country_CH -0.014817 -0.009081 0.031044 -0.029831 b_country_DK -0.027974 -0.023867 -0.007361 -0.014657 b_country_IND -0.034573 0.028450 -0.021667 -0.014629 b_country_RUS -0.009262 -0.010012 -0.023329 0.012528 b_country_BRA -0.013464 0.018435 -0.021344 0.012113 b_char_fast 0.076814 0.011335 0.012530 -0.026435 b_char_double 0.027069 -0.016124 0.054480 0.014547 b_risk -0.073433 0.050716 0.022058 -0.021919 b_price 0.027880 0.010797 0.023767 0.041193 lambda -0.061219 0.119509 -0.138218 0.108183 gamma_reg_user 0.061424 0.244192 -0.123028 0.142392 gamma_university -0.003538 0.123841 -0.134352 0.097039 gamma_age_50 1.000000 -0.096284 0.148937 -0.135399 zeta_quality -0.096284 1.000000 -0.174521 0.082375 zeta_ingredient 0.148937 -0.174521 1.000000 -0.117150 zeta_patent -0.135399 0.082375 -0.117150 1.000000 zeta_dominance 0.028049 -0.056955 0.138329 -0.058331 tau_quality_1 0.291718 -0.470916 0.012970 0.051481 tau_quality_2 0.320747 -0.371517 -0.003037 0.045321 tau_quality_3 0.334018 0.110689 -0.004027 0.041245 tau_quality_4 0.228065 0.246798 -0.011700 0.047476 tau_ingredients_1 -0.262281 -0.040702 0.154779 0.030885 tau_ingredients_2 -0.341513 -0.016354 0.012638 0.033643 tau_ingredients_3 -0.340075 8.0644e-04 -0.401393 0.026362 tau_ingredients_4 -0.312436 -0.014321 -0.507543 -0.005953 tau_patent_1 0.313337 0.058110 0.001950 -0.534485 tau_patent_2 0.363399 0.064425 0.004344 -0.391512 tau_patent_3 0.360335 0.037356 0.022426 0.056406 tau_patent_4 0.316497 0.042815 0.045530 0.185777 tau_dominance_1 -0.195550 -0.053872 0.007571 -0.060389 tau_dominance_2 -0.304909 -0.019052 0.010848 -0.037334 tau_dominance_3 -0.266953 -0.048221 -0.013738 -0.078718 tau_dominance_4 -0.207610 -0.062053 -0.020001 -0.020297 zeta_dominance tau_quality_1 tau_quality_2 tau_quality_3 b_brand_Novum -0.034377 0.007236 -0.013450 0.022006 b_brand_BestValue -0.068963 0.248677 0.299577 0.323835 b_brand_Supermarket -0.077244 0.271579 0.298236 0.336048 b_brand_PainAway -0.059503 0.263749 0.293377 0.346307 b_country_CH -0.019147 -0.013538 -0.040943 -0.048261 b_country_DK -0.009320 -0.019565 -0.022959 -0.026999 b_country_IND 0.003150 0.001279 -0.005200 0.011214 b_country_RUS 7.3281e-04 -0.013067 -0.015006 -0.023009 b_country_BRA 0.012266 0.029464 0.020868 0.027469 b_char_fast -0.001741 0.021170 0.010178 0.005089 b_char_double -0.004454 -0.001555 -0.013928 -0.043178 b_risk -0.003659 -0.009018 0.001482 0.023390 b_price 0.068576 0.026870 0.014635 0.025696 lambda -0.151314 0.093033 0.080568 0.049537 gamma_reg_user -0.108688 0.228441 0.275622 0.322299 gamma_university -0.267293 0.279443 0.316758 0.306988 gamma_age_50 0.028049 0.291718 0.320747 0.334018 zeta_quality -0.056955 -0.470916 -0.371517 0.110689 zeta_ingredient 0.138329 0.012970 -0.003037 -0.004027 zeta_patent -0.058331 0.051481 0.045321 0.041245 zeta_dominance 1.000000 -0.081574 -0.093024 -0.091489 tau_quality_1 -0.081574 1.000000 0.820946 0.371837 tau_quality_2 -0.093024 0.820946 1.000000 0.491931 tau_quality_3 -0.091489 0.371837 0.491931 1.000000 tau_quality_4 -0.072473 0.182471 0.279763 0.681187 tau_ingredients_1 0.072034 -0.249361 -0.312264 -0.288994 tau_ingredients_2 0.099250 -0.338933 -0.387767 -0.379626 tau_ingredients_3 0.046166 -0.297196 -0.350935 -0.324411 tau_ingredients_4 0.044390 -0.223529 -0.286734 -0.293940 tau_patent_1 -0.081667 0.239244 0.277388 0.258660 tau_patent_2 -0.113558 0.320441 0.361253 0.350551 tau_patent_3 -0.106983 0.351200 0.416122 0.382286 tau_patent_4 -0.127146 0.297895 0.340383 0.334733 tau_dominance_1 0.083840 -0.186134 -0.211893 -0.211855 tau_dominance_2 0.043627 -0.254883 -0.288464 -0.315103 tau_dominance_3 -0.365873 -0.233686 -0.255459 -0.250584 tau_dominance_4 -0.420064 -0.165524 -0.217961 -0.203172 tau_quality_4 tau_ingredients_1 tau_ingredients_2 tau_ingredients_3 b_brand_Novum 0.020003 -0.019673 -0.018824 8.4829e-04 b_brand_BestValue 0.265617 -0.240318 -0.325364 -0.318969 b_brand_Supermarket 0.260071 -0.242143 -0.327628 -0.346340 b_brand_PainAway 0.272625 -0.249714 -0.304865 -0.319185 b_country_CH -0.043488 0.033684 0.054033 0.019697 b_country_DK -0.021478 -0.002371 0.050742 0.016082 b_country_IND -0.013985 0.004960 0.018418 0.032100 b_country_RUS -0.011666 -0.022086 -0.009632 0.015417 b_country_BRA 0.021309 -0.055651 -0.015522 0.001598 b_char_fast 0.007076 0.027829 -0.017945 -0.013703 b_char_double -0.058729 0.024342 -0.041320 -0.042532 b_risk 0.025428 0.032188 0.039731 0.012521 b_price -0.009151 -0.014097 -0.021316 -0.048724 lambda 0.020601 -0.039957 -0.040788 -0.081919 gamma_reg_user 0.266683 -0.214983 -0.275595 -0.275231 gamma_university 0.258752 -0.266231 -0.307239 -0.273938 gamma_age_50 0.228065 -0.262281 -0.341513 -0.340075 zeta_quality 0.246798 -0.040702 -0.016354 8.0644e-04 zeta_ingredient -0.011700 0.154779 0.012638 -0.401393 zeta_patent 0.047476 0.030885 0.033643 0.026362 zeta_dominance -0.072473 0.072034 0.099250 0.046166 tau_quality_1 0.182471 -0.249361 -0.338933 -0.297196 tau_quality_2 0.279763 -0.312264 -0.387767 -0.350935 tau_quality_3 0.681187 -0.288994 -0.379626 -0.324411 tau_quality_4 1.000000 -0.223966 -0.285739 -0.253896 tau_ingredients_1 -0.223966 1.000000 0.681652 0.322591 tau_ingredients_2 -0.285739 0.681652 1.000000 0.532367 tau_ingredients_3 -0.253896 0.322591 0.532367 1.000000 tau_ingredients_4 -0.220354 0.211993 0.393438 0.794048 tau_patent_1 0.195860 -0.281675 -0.316432 -0.298963 tau_patent_2 0.269721 -0.325457 -0.395957 -0.368589 tau_patent_3 0.296208 -0.324432 -0.389862 -0.384288 tau_patent_4 0.259877 -0.302107 -0.355867 -0.344284 tau_dominance_1 -0.194682 0.118251 0.205036 0.230201 tau_dominance_2 -0.231668 0.219005 0.302174 0.277222 tau_dominance_3 -0.183577 0.232246 0.269472 0.278242 tau_dominance_4 -0.161650 0.172932 0.208067 0.205105 tau_ingredients_4 tau_patent_1 tau_patent_2 tau_patent_3 b_brand_Novum -0.006760 0.002333 0.010071 -0.035750 b_brand_BestValue -0.251569 0.254244 0.320401 0.339436 b_brand_Supermarket -0.291978 0.252371 0.320099 0.354851 b_brand_PainAway -0.290241 0.230303 0.312732 0.347393 b_country_CH -0.006513 -0.013270 -0.014822 0.020588 b_country_DK 0.050636 -0.040352 -0.036044 -0.020086 b_country_IND 0.007750 0.050466 0.029087 -0.019931 b_country_RUS -0.003681 -3.5168e-04 6.0069e-04 -0.010253 b_country_BRA 0.005233 0.060516 0.050177 0.050878 b_char_fast -0.017690 0.040616 0.049654 0.011509 b_char_double -0.039498 0.019467 -0.011416 -0.032885 b_risk 0.030880 -0.024153 -0.018080 -0.001593 b_price -0.019817 0.010325 0.004788 -0.002880 lambda -0.056024 0.094537 0.090882 0.074412 gamma_reg_user -0.219387 0.259419 0.313642 0.327582 gamma_university -0.203535 0.253915 0.342704 0.372748 gamma_age_50 -0.312436 0.313337 0.363399 0.360335 zeta_quality -0.014321 0.058110 0.064425 0.037356 zeta_ingredient -0.507543 0.001950 0.004344 0.022426 zeta_patent -0.005953 -0.534485 -0.391512 0.056406 zeta_dominance 0.044390 -0.081667 -0.113558 -0.106983 tau_quality_1 -0.223529 0.239244 0.320441 0.351200 tau_quality_2 -0.286734 0.277388 0.361253 0.416122 tau_quality_3 -0.293940 0.258660 0.350551 0.382286 tau_quality_4 -0.220354 0.195860 0.269721 0.296208 tau_ingredients_1 0.211993 -0.281675 -0.325457 -0.324432 tau_ingredients_2 0.393438 -0.316432 -0.395957 -0.389862 tau_ingredients_3 0.794048 -0.298963 -0.368589 -0.384288 tau_ingredients_4 1.000000 -0.223061 -0.282557 -0.334940 tau_patent_1 -0.223061 1.000000 0.800268 0.401083 tau_patent_2 -0.282557 0.800268 1.000000 0.564813 tau_patent_3 -0.334940 0.401083 0.564813 1.000000 tau_patent_4 -0.320043 0.245853 0.392409 0.759517 tau_dominance_1 0.211800 -0.151344 -0.208979 -0.226307 tau_dominance_2 0.252750 -0.209714 -0.277176 -0.317445 tau_dominance_3 0.218963 -0.191294 -0.254020 -0.301953 tau_dominance_4 0.159694 -0.152211 -0.202021 -0.233630 tau_patent_4 tau_dominance_1 tau_dominance_2 tau_dominance_3 b_brand_Novum -0.020927 -0.006445 -0.007139 -0.007449 b_brand_BestValue 0.322843 -0.249127 -0.273636 -0.273510 b_brand_Supermarket 0.329624 -0.284787 -0.317240 -0.282223 b_brand_PainAway 0.318370 -0.239160 -0.283814 -0.294189 b_country_CH 0.018069 -0.023357 -0.008264 -0.008080 b_country_DK -0.031787 -0.021482 0.024002 -0.023828 b_country_IND -0.031677 0.039598 0.004466 0.011112 b_country_RUS -0.012668 0.013519 -0.012145 0.009581 b_country_BRA 0.040377 0.007913 -0.034920 -0.041508 b_char_fast 0.003842 -0.035153 -0.019520 0.005235 b_char_double -0.026972 -0.048743 -0.014995 -0.027698 b_risk -0.023189 -0.032725 -0.014020 0.021051 b_price -0.003671 -0.030853 -0.041172 -0.054239 lambda 0.041219 -0.035687 -0.030230 -0.047040 gamma_reg_user 0.268200 -0.215187 -0.233273 -0.260484 gamma_university 0.329701 -0.189725 -0.265065 -0.196107 gamma_age_50 0.316497 -0.195550 -0.304909 -0.266953 zeta_quality 0.042815 -0.053872 -0.019052 -0.048221 zeta_ingredient 0.045530 0.007571 0.010848 -0.013738 zeta_patent 0.185777 -0.060389 -0.037334 -0.078718 zeta_dominance -0.127146 0.083840 0.043627 -0.365873 tau_quality_1 0.297895 -0.186134 -0.254883 -0.233686 tau_quality_2 0.340383 -0.211893 -0.288464 -0.255459 tau_quality_3 0.334733 -0.211855 -0.315103 -0.250584 tau_quality_4 0.259877 -0.194682 -0.231668 -0.183577 tau_ingredients_1 -0.302107 0.118251 0.219005 0.232246 tau_ingredients_2 -0.355867 0.205036 0.302174 0.269472 tau_ingredients_3 -0.344284 0.230201 0.277222 0.278242 tau_ingredients_4 -0.320043 0.211800 0.252750 0.218963 tau_patent_1 0.245853 -0.151344 -0.209714 -0.191294 tau_patent_2 0.392409 -0.208979 -0.277176 -0.254020 tau_patent_3 0.759517 -0.226307 -0.317445 -0.301953 tau_patent_4 1.000000 -0.224046 -0.293931 -0.242992 tau_dominance_1 -0.224046 1.000000 0.649775 0.289336 tau_dominance_2 -0.293931 0.649775 1.000000 0.451020 tau_dominance_3 -0.242992 0.289336 0.451020 1.000000 tau_dominance_4 -0.157934 0.197748 0.314182 0.737095 tau_dominance_4 b_brand_Novum 0.040317 b_brand_BestValue -0.181792 b_brand_Supermarket -0.185317 b_brand_PainAway -0.200818 b_country_CH -7.927e-05 b_country_DK 0.001019 b_country_IND -0.017900 b_country_RUS -0.025100 b_country_BRA -0.039740 b_char_fast -0.019258 b_char_double -0.047094 b_risk -0.015991 b_price -0.034817 lambda -0.010356 gamma_reg_user -0.219864 gamma_university -0.123116 gamma_age_50 -0.207610 zeta_quality -0.062053 zeta_ingredient -0.020001 zeta_patent -0.020297 zeta_dominance -0.420064 tau_quality_1 -0.165524 tau_quality_2 -0.217961 tau_quality_3 -0.203172 tau_quality_4 -0.161650 tau_ingredients_1 0.172932 tau_ingredients_2 0.208067 tau_ingredients_3 0.205105 tau_ingredients_4 0.159694 tau_patent_1 -0.152211 tau_patent_2 -0.202021 tau_patent_3 -0.233630 tau_patent_4 -0.157934 tau_dominance_1 0.197748 tau_dominance_2 0.314182 tau_dominance_3 0.737095 tau_dominance_4 1.000000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 695 0.08090201 288 0.08362291 480 0.08475193 875 0.08840937 611 0.08929496 593 0.09197612 92 0.09526718 509 0.09606398 326 0.10043419 51 0.10083217 163 0.10288438 8 0.10368604 204 0.10728312 412 0.10860893 867 0.10896523 544 0.10945500 473 0.10971876 450 0.11062079 508 0.11203406 126 0.11224248 Changes in parameter estimates from starting values: Initial Estimate Difference b_brand_Artemis 0.000 0.000000 0.000000 b_brand_Novum 0.000 -0.276387 -0.276387 b_brand_BestValue 0.000 -0.774735 -0.774735 b_brand_Supermarket 0.000 -0.461090 -0.461090 b_brand_PainAway 0.000 -1.443350 -1.443350 b_country_CH 0.000 0.669829 0.669829 b_country_DK 0.000 0.337739 0.337739 b_country_USA 0.000 0.000000 0.000000 b_country_IND 0.000 -0.296089 -0.296089 b_country_RUS 0.000 -0.894031 -0.894031 b_country_BRA 0.000 -0.655983 -0.655983 b_char_standard 0.000 0.000000 0.000000 b_char_fast 0.000 0.769134 0.769134 b_char_double 0.000 1.212353 1.212353 b_risk 0.000 -0.001574 -0.001574 b_price 0.000 -0.724008 -0.724008 lambda 1.000 0.640789 -0.359211 gamma_reg_user 0.000 -0.959509 -0.959509 gamma_university 0.000 -0.598419 -0.598419 gamma_age_50 0.000 0.480011 0.480011 zeta_quality 1.000 0.933175 -0.066825 zeta_ingredient 1.000 -0.847628 -1.847628 zeta_patent 1.000 1.048254 0.048254 zeta_dominance 1.000 -0.658040 -1.658040 tau_quality_1 -2.000 -1.917895 0.082105 tau_quality_2 -1.000 -1.016008 -0.016008 tau_quality_3 1.000 1.119697 0.119697 tau_quality_4 2.000 2.246550 0.246550 tau_ingredients_1 -2.000 -2.075129 -0.075129 tau_ingredients_2 -1.000 -0.990104 0.009896 tau_ingredients_3 1.000 0.910099 -0.089901 tau_ingredients_4 2.000 1.856127 -0.143873 tau_patent_1 -2.000 -2.080303 -0.080303 tau_patent_2 -1.000 -1.017767 -0.017767 tau_patent_3 1.000 0.938283 -0.061717 tau_patent_4 2.000 1.875835 -0.124165 tau_dominance_1 -2.000 -2.207267 -0.207267 tau_dominance_2 -1.000 -1.109050 -0.109050 tau_dominance_3 1.000 1.058629 0.058629 tau_dominance_4 2.000 2.111761 0.111761 Settings and functions used in model definition: apollo_control -------------- Value modelName "Apollo_example_24" modelDescr "ICLV model on drug choice data, using ordered measurement model for indicators" indivID "ID" mixing "TRUE" nCores "4" debug "FALSE" workInLogs "FALSE" seed "13" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" panelData "TRUE" analyticGrad "TRUE" Hessian routines attempted -------------- numerical jacobian of LL analytical gradient Scaling used in computing Hessian -------------- Value b_brand_Novum 0.276387193 b_brand_BestValue 0.774734991 b_brand_Supermarket 0.461090154 b_brand_PainAway 1.443349993 b_country_CH 0.669828606 b_country_DK 0.337739263 b_country_IND 0.296088831 b_country_RUS 0.894031197 b_country_BRA 0.655983461 b_char_fast 0.769133762 b_char_double 1.212352757 b_risk 0.001573526 b_price 0.724007852 lambda 0.640788697 gamma_reg_user 0.959508951 gamma_university 0.598419452 gamma_age_50 0.480011169 zeta_quality 0.933175419 zeta_ingredient 0.847627909 zeta_patent 1.048253886 zeta_dominance 0.658040423 tau_quality_1 1.917894884 tau_quality_2 1.016007958 tau_quality_3 1.119697137 tau_quality_4 2.246549774 tau_ingredients_1 2.075128922 tau_ingredients_2 0.990103902 tau_ingredients_3 0.910098701 tau_ingredients_4 1.856126890 tau_patent_1 2.080302885 tau_patent_2 1.017766852 tau_patent_3 0.938282927 tau_patent_4 1.875835241 tau_dominance_1 2.207267040 tau_dominance_2 1.109049759 tau_dominance_3 1.058628914 tau_dominance_4 2.111760799 apollo_randCoeff ---------------- function(apollo_beta, apollo_inputs){ randcoeff = list() randcoeff[["LV"]] = gamma_reg_user*regular_user + gamma_university*university_educated + gamma_age_50*over_50 + eta return(randcoeff) apollo_probabilities -------------------- function(apollo_beta, apollo_inputs, functionality="estimate"){ ### Attach inputs and detach after function exit apollo_attach(apollo_beta, apollo_inputs) on.exit(apollo_detach(apollo_beta, apollo_inputs)) ### Create list of probabilities P P = list() ### Likelihood of indicators ol_settings1 = list(outcomeOrdered = attitude_quality, V = zeta_quality*LV, tau = list(tau_quality_1, tau_quality_2, tau_quality_3, tau_quality_4), rows = (task==1), componentName = "indic_quality") ol_settings2 = list(outcomeOrdered = attitude_ingredients, V = zeta_ingredient*LV, tau = list(tau_ingredients_1, tau_ingredients_2, tau_ingredients_3, tau_ingredients_4), rows = (task==1), componentName = "indic_ingredients") ol_settings3 = list(outcomeOrdered = attitude_patent, V = zeta_patent*LV, tau = list(tau_patent_1, tau_patent_2, tau_patent_3, tau_patent_4), rows = (task==1), componentName = "indic_patent") ol_settings4 = list(outcomeOrdered = attitude_dominance, V = zeta_dominance*LV, tau = list(tau_dominance_1, tau_dominance_2, tau_dominance_3, tau_dominance_4), rows = (task==1), componentName = "indic_dominance") P[["indic_quality"]] = apollo_ol(ol_settings1, functionality) P[["indic_ingredients"]] = apollo_ol(ol_settings2, functionality) P[["indic_patent"]] = apollo_ol(ol_settings3, functionality) P[["indic_dominance"]] = apollo_ol(ol_settings4, functionality) ### Likelihood of choices ### List of utilities: these must use the same names as in mnl_settings, order is irrelevant V = list() V[['alt1']] = ( b_brand_Artemis*(brand_1=="Artemis") + b_brand_Novum*(brand_1=="Novum") + b_country_CH*(country_1=="Switzerland") + b_country_DK*(country_1=="Denmark") + b_country_USA*(country_1=="USA") + b_char_standard*(char_1=="standard") + b_char_fast*(char_1=="fast acting") + b_char_double*(char_1=="double strength") + b_risk*side_effects_1 + b_price*price_1 + lambda*LV ) V[['alt2']] = ( b_brand_Artemis*(brand_2=="Artemis") + b_brand_Novum*(brand_2=="Novum") + b_country_CH*(country_2=="Switzerland") + b_country_DK*(country_2=="Denmark") + b_country_USA*(country_2=="USA") + b_char_standard*(char_2=="standard") + b_char_fast*(char_2=="fast acting") + b_char_double*(char_2=="double strength") + b_risk*side_effects_2 + b_price*price_2 + lambda*LV ) V[['alt3']] = ( b_brand_BestValue*(brand_3=="BestValue") + b_brand_Supermarket*(brand_3=="Supermarket") + b_brand_PainAway*(brand_3=="PainAway") + b_country_USA*(country_3=="USA") + b_country_IND*(country_3=="India") + b_country_RUS*(country_3=="Russia") + b_country_BRA*(country_3=="Brazil") + b_char_standard*(char_3=="standard") + b_char_fast*(char_3=="fast acting") + b_risk*side_effects_3 + b_price*price_3 ) V[['alt4']] = ( b_brand_BestValue*(brand_4=="BestValue") + b_brand_Supermarket*(brand_4=="Supermarket") + b_brand_PainAway*(brand_4=="PainAway") + b_country_USA*(country_4=="USA") + b_country_IND*(country_4=="India") + b_country_RUS*(country_4=="Russia") + b_country_BRA*(country_4=="Brazil") + b_char_standard*(char_4=="standard") + b_char_fast*(char_4=="fast acting") + b_risk*side_effects_4 + b_price*price_4 ) ### Define settings for MNL model component mnl_settings = list( alternatives = c(alt1=1, alt2=2, alt3=3, alt4=4), avail = list(alt1=1, alt2=1, alt3=1, alt4=1), choiceVar = best, V = V, componentName= "choice" ) ### Compute probabilities for MNL model component P[["choice"]] = apollo_mnl(mnl_settings, functionality) ### Likelihood of the whole model P = apollo_combineModels(P, apollo_inputs, functionality) ### Take product across observation for same individual P = apollo_panelProd(P, apollo_inputs, functionality) ### Average across inter-individual draws P = apollo_avgInterDraws(P, apollo_inputs, functionality) ### Prepare and return outputs of function P = apollo_prepareProb(P, apollo_inputs, functionality) return(P)