Model run by stephane.hess using Apollo 0.2.9 on R 4.0.5 for Darwin. www.ApolloChoiceModelling.com Model name : Hybrid_with_OL Model description : Hybrid choice model on drug choice data, using ordered measurement model for indicators Model run at : 2023-05-11 19:08:55 Estimation method : bfgs Model diagnosis : successful convergence Optimisation diagnosis : Maximum found hessian properties : Negative definitive maximum eigenvalue : -12.931677 Number of individuals : 1000 Number of rows in database : 10000 Number of modelled outcomes : 14000 indic_quality : 1000 indic_ingredients : 1000 indic_patent : 1000 indic_dominance : 1000 choice : 10000 Number of cores used : 4 Number of inter-individual draws : 100 (halton) LL(start) : -19734.47 LL (whole model) at equal shares, LL(0) : -20300.7 LL (whole model) at observed shares, LL(C) : -19050.2 LL(final, whole model) : -16545.03 Rho-squared vs equal shares : 0.185 Adj.Rho-squared vs equal shares : 0.1832 Rho-squared vs observed shares : 0.1315 Adj.Rho-squared vs observed shares : 0.1306 AIC : 33164.07 BIC : 33345.65 LL(0,indic_quality) : -1609.44 LL(final,indic_quality) : -1453.58 LL(0,indic_ingredients) : -1609.44 LL(final,indic_ingredients) : -1486.38 LL(0,indic_patent) : -1609.44 LL(final,indic_patent) : -1484.86 LL(0,indic_dominance) : -1609.44 LL(final,indic_dominance) : -1425.67 LL(0,choice) : -13862.94 LL(final,choice) : -10883.72 Estimated parameters : 37 Time taken (hh:mm:ss) : 00:12:49.75 pre-estimation : 00:00:47.52 estimation : 00:02:14.61 initial estimation : 00:02:8.49 estimation after rescaling : 00:00:6.12 post-estimation : 00:09:47.63 Iterations : 51 initial estimation : 50 estimation after rescaling : 1 Unconstrained optimisation. 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 -0.774733 0.07636 -10.146 0.07461 -10.383 b_brand_Supermarket -0.461088 0.07729 -5.965 0.07745 -5.953 b_brand_PainAway -1.443328 0.07776 -18.561 0.07616 -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 -0.296088 0.05731 -5.167 0.05805 -5.101 b_country_RUS -0.894024 0.06170 -14.490 0.06112 -14.626 b_country_BRA -0.655980 0.06020 -10.897 0.06180 -10.615 b_char_standard 0.000000 NA NA NA NA b_char_fast 0.769140 0.02920 26.342 0.02890 26.617 b_char_double 1.212325 0.03775 32.111 0.03660 33.127 b_risk -0.001574 5.832e-05 -26.983 5.943e-05 -26.477 b_price -0.724024 0.01812 -39.962 0.01728 -41.888 lambda 0.640796 0.03215 19.931 0.03176 20.176 gamma_reg_user -0.959511 0.09090 -10.556 0.09268 -10.353 gamma_university -0.598421 0.08511 -7.031 0.08677 -6.897 gamma_age_50 0.480009 0.08452 5.679 0.08500 5.647 zeta_quality 0.933171 0.08265 11.291 0.08390 11.122 zeta_ingredient -0.847631 0.07785 -10.888 0.07924 -10.697 zeta_patent 1.048249 0.08867 11.822 0.08925 11.746 zeta_dominance -0.658037 0.06996 -9.406 0.06918 -9.511 tau_quality_1 -1.917914 0.12100 -15.850 0.12455 -15.399 tau_quality_2 -1.016011 0.10401 -9.768 0.10457 -9.716 tau_quality_3 1.119695 0.10129 11.054 0.10230 10.945 tau_quality_4 2.246541 0.12886 17.434 0.12938 17.364 tau_ingredients_1 -2.075101 0.11959 -17.352 0.12124 -17.115 tau_ingredients_2 -0.990108 0.09552 -10.365 0.09639 -10.272 tau_ingredients_3 0.910095 0.09799 9.288 0.09923 9.171 tau_ingredients_4 1.856123 0.11527 16.102 0.11520 16.112 tau_patent_1 -2.080314 0.13255 -15.695 0.13107 -15.871 tau_patent_2 -1.017773 0.11089 -9.178 0.11147 -9.130 tau_patent_3 0.938281 0.10457 8.973 0.10705 8.765 tau_patent_4 1.875842 0.12192 15.386 0.12428 15.093 tau_dominance_1 -2.207254 0.11850 -18.627 0.11845 -18.635 tau_dominance_2 -1.109047 0.08940 -12.405 0.09127 -12.151 tau_dominance_3 1.058626 0.09163 11.553 0.09172 11.542 tau_dominance_4 2.111761 0.11344 18.616 0.11246 18.777 Overview of choices for 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 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 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 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_country_CH b_brand_Novum 9.4934e-04 4.7547e-04 5.8521e-04 5.1091e-04 -6.642e-05 b_brand_BestValue 4.7547e-04 0.005831 0.004667 0.004430 7.4051e-04 b_brand_Supermarket 5.8521e-04 0.004667 0.005974 0.004494 7.2789e-04 b_brand_PainAway 5.1091e-04 0.004430 0.004494 0.006047 5.8124e-04 b_country_CH -6.642e-05 7.4051e-04 7.2789e-04 5.8124e-04 0.001588 b_country_DK -5.554e-05 6.6553e-04 7.0126e-04 5.7873e-04 7.5084e-04 b_country_IND -5.866e-05 -0.001547 -0.001621 -0.001417 1.640e-05 b_country_RUS -7.182e-05 -0.001539 -0.001611 -0.001307 -7.853e-05 b_country_BRA -1.221e-05 -0.001413 -0.001697 -0.001385 -7.958e-05 b_char_fast 1.051e-05 -2.312e-05 7.571e-05 -9.615e-05 8.884e-05 b_char_double 7.626e-05 3.8593e-04 4.5937e-04 2.8328e-04 1.3288e-04 b_risk 2.856e-09 -6.808e-07 -7.313e-07 -1.912e-07 -1.506e-07 b_price 3.692e-05 3.5337e-04 3.2474e-04 4.1630e-04 -8.752e-05 lambda -1.220e-05 -3.2255e-04 -2.9912e-04 -3.8171e-04 4.871e-05 gamma_reg_user 4.043e-06 0.001719 0.001748 0.001703 1.770e-06 gamma_university -7.049e-06 0.001787 0.001799 0.001799 2.586e-06 gamma_age_50 -5.124e-07 0.001848 0.001838 0.001853 -7.663e-06 zeta_quality -1.091e-06 2.3382e-04 2.2073e-04 2.2947e-04 2.996e-06 zeta_ingredient -6.235e-06 -1.7387e-04 -1.6949e-04 -1.8418e-04 7.445e-06 zeta_patent 4.645e-06 1.2664e-04 1.6128e-04 1.3073e-04 -6.562e-06 zeta_dominance 1.496e-06 -1.6265e-04 -1.7755e-04 -1.6784e-04 1.144e-06 tau_quality_1 4.028e-07 0.002336 0.002364 0.002338 -3.874e-06 tau_quality_2 4.906e-07 0.002382 0.002406 0.002385 -3.990e-06 tau_quality_3 -2.209e-07 0.002479 0.002486 0.002482 -3.000e-06 tau_quality_4 -8.619e-07 0.002523 0.002523 0.002525 -2.050e-06 tau_ingredients_1 -8.215e-07 -0.002270 -0.002275 -0.002276 5.561e-06 tau_ingredients_2 9.924e-07 -0.002241 -0.002248 -0.002243 2.464e-06 tau_ingredients_3 4.782e-06 -0.002174 -0.002186 -0.002166 -3.548e-06 tau_ingredients_4 6.669e-06 -0.002147 -0.002163 -0.002135 -5.632e-06 tau_patent_1 -5.617e-06 0.002721 0.002701 0.002714 3.926e-06 tau_patent_2 -4.307e-06 0.002734 0.002726 0.002731 8.585e-07 tau_patent_3 -1.697e-06 0.002771 0.002782 0.002776 -4.345e-06 tau_patent_4 -1.394e-07 0.002776 0.002793 0.002782 -6.550e-06 tau_dominance_1 1.071e-06 -0.001763 -0.001771 -0.001766 2.788e-06 tau_dominance_2 1.174e-06 -0.001743 -0.001749 -0.001745 2.535e-06 tau_dominance_3 4.234e-07 -0.001677 -0.001675 -0.001673 4.932e-07 tau_dominance_4 -5.326e-07 -0.001644 -0.001638 -0.001637 -4.575e-07 b_country_DK b_country_IND b_country_RUS b_country_BRA b_char_fast b_brand_Novum -5.554e-05 -5.866e-05 -7.182e-05 -1.221e-05 1.051e-05 b_brand_BestValue 6.6553e-04 -0.001547 -0.001539 -0.001413 -2.312e-05 b_brand_Supermarket 7.0126e-04 -0.001621 -0.001611 -0.001697 7.571e-05 b_brand_PainAway 5.7873e-04 -0.001417 -0.001307 -0.001385 -9.615e-05 b_country_CH 7.5084e-04 1.640e-05 -7.853e-05 -7.958e-05 8.884e-05 b_country_DK 0.001462 9.358e-05 1.283e-05 1.633e-06 3.833e-05 b_country_IND 9.358e-05 0.003284 0.001565 0.001608 -9.382e-05 b_country_RUS 1.283e-05 0.001565 0.003807 0.001576 -1.1371e-04 b_country_BRA 1.633e-06 0.001608 0.001576 0.003624 -1.2037e-04 b_char_fast 3.833e-05 -9.382e-05 -1.1371e-04 -1.2037e-04 8.5257e-04 b_char_double 3.009e-05 -5.729e-05 -7.852e-05 -1.1537e-04 5.0211e-04 b_risk -6.191e-08 1.733e-07 2.181e-07 1.115e-07 -1.400e-07 b_price -3.301e-05 2.531e-05 5.029e-05 7.334e-05 -7.465e-05 lambda 1.488e-05 3.601e-06 -8.725e-05 -4.923e-05 6.153e-05 gamma_reg_user -1.662e-06 4.411e-06 -1.472e-05 -8.719e-06 4.434e-06 gamma_university -8.469e-06 1.568e-05 -5.465e-06 1.002e-06 5.062e-06 gamma_age_50 3.225e-06 -2.548e-05 2.168e-05 8.215e-06 4.099e-06 zeta_quality -8.854e-06 2.341e-05 8.143e-06 2.219e-05 -6.202e-06 zeta_ingredient -1.514e-06 6.437e-06 -5.992e-06 3.314e-06 1.745e-05 zeta_patent -1.306e-05 3.565e-05 -8.258e-06 -1.587e-05 -2.061e-05 zeta_dominance 5.280e-06 -4.894e-06 -6.258e-06 -1.518e-05 -1.817e-06 tau_quality_1 5.754e-06 -2.318e-05 -1.066e-05 -2.525e-05 1.021e-05 tau_quality_2 3.473e-06 -1.654e-05 -6.316e-06 -1.915e-05 6.970e-06 tau_quality_3 -3.159e-06 -1.695e-06 4.552e-06 1.564e-06 7.044e-07 tau_quality_4 -5.300e-06 3.839e-06 8.413e-06 1.039e-05 -3.315e-07 tau_ingredients_1 4.753e-07 7.151e-06 -6.373e-06 2.549e-06 2.441e-06 tau_ingredients_2 8.233e-07 3.747e-06 -2.566e-06 3.090e-06 -3.584e-06 tau_ingredients_3 2.542e-06 -2.288e-06 4.958e-06 8.713e-07 -1.549e-05 tau_ingredients_4 3.800e-06 -5.454e-06 7.612e-06 -8.200e-07 -2.050e-05 tau_patent_1 1.035e-05 -3.600e-05 7.701e-06 1.571e-05 2.602e-05 tau_patent_2 5.507e-06 -2.353e-05 6.680e-06 9.591e-06 1.820e-05 tau_patent_3 -3.736e-06 -4.669e-07 5.061e-06 -1.162e-06 2.404e-06 tau_patent_4 -6.945e-06 7.192e-06 4.444e-06 -4.852e-06 -4.108e-06 tau_dominance_1 2.594e-06 3.601e-06 -5.189e-06 -3.814e-06 -2.669e-06 tau_dominance_2 1.938e-06 3.561e-06 -3.182e-06 3.903e-07 -2.400e-06 tau_dominance_3 -1.711e-06 3.770e-06 3.337e-06 1.073e-05 -2.627e-06 tau_dominance_4 -3.425e-06 5.428e-06 6.250e-06 1.487e-05 -2.127e-06 b_char_double b_risk b_price lambda gamma_reg_user b_brand_Novum 7.626e-05 2.856e-09 3.692e-05 -1.220e-05 4.043e-06 b_brand_BestValue 3.8593e-04 -6.808e-07 3.5337e-04 -3.2255e-04 0.001719 b_brand_Supermarket 4.5937e-04 -7.313e-07 3.2474e-04 -2.9912e-04 0.001748 b_brand_PainAway 2.8328e-04 -1.912e-07 4.1630e-04 -3.8171e-04 0.001703 b_country_CH 1.3288e-04 -1.506e-07 -8.752e-05 4.871e-05 1.770e-06 b_country_DK 3.009e-05 -6.191e-08 -3.301e-05 1.488e-05 -1.662e-06 b_country_IND -5.729e-05 1.733e-07 2.531e-05 3.601e-06 4.411e-06 b_country_RUS -7.852e-05 2.181e-07 5.029e-05 -8.725e-05 -1.472e-05 b_country_BRA -1.1537e-04 1.115e-07 7.334e-05 -4.923e-05 -8.719e-06 b_char_fast 5.0211e-04 -1.400e-07 -7.465e-05 6.153e-05 4.434e-06 b_char_double 0.001425 -1.119e-07 -1.1842e-04 8.199e-05 8.696e-06 b_risk -1.119e-07 3.401e-09 1.254e-07 -1.008e-07 -6.748e-09 b_price -1.1842e-04 1.254e-07 3.2825e-04 -3.893e-05 -1.206e-05 lambda 8.199e-05 -1.008e-07 -3.893e-05 0.001034 8.5191e-04 gamma_reg_user 8.696e-06 -6.748e-09 -1.206e-05 8.5191e-04 0.008262 gamma_university 3.247e-06 2.463e-09 -7.661e-06 4.9507e-04 0.001063 gamma_age_50 -7.304e-06 -1.234e-08 9.522e-06 -3.7633e-04 -1.9459e-04 zeta_quality -3.912e-06 4.224e-08 -6.005e-06 4.0112e-04 0.001478 zeta_ingredient 1.499e-05 -2.198e-08 -3.336e-06 -3.1479e-04 -0.001166 zeta_patent -1.506e-05 3.128e-08 -3.511e-06 3.8283e-04 0.001354 zeta_dominance 5.275e-06 -5.828e-09 2.610e-06 -2.9549e-04 -7.6105e-04 tau_quality_1 6.225e-06 -4.317e-08 6.073e-07 1.8801e-04 0.002257 tau_quality_2 4.017e-06 -2.877e-08 6.682e-08 1.6446e-04 0.002381 tau_quality_3 -1.566e-06 2.896e-09 -1.850e-06 1.3968e-04 0.002693 tau_quality_4 -3.232e-06 1.416e-08 -3.099e-06 1.5124e-04 0.002849 tau_ingredients_1 5.798e-06 -2.706e-09 -2.117e-08 -1.2902e-04 -0.002507 tau_ingredients_2 -6.551e-07 4.797e-09 1.844e-06 -1.3758e-04 -0.002411 tau_ingredients_3 -1.226e-05 1.850e-08 6.196e-06 -1.8784e-04 -0.002257 tau_ingredients_4 -1.656e-05 2.415e-08 8.094e-06 -2.1753e-04 -0.002207 tau_patent_1 1.806e-05 -3.552e-08 -2.167e-06 2.7212e-04 0.002770 tau_patent_2 1.129e-05 -2.390e-08 -1.479e-06 2.1913e-04 0.002796 tau_patent_3 -2.078e-06 -1.053e-09 -1.231e-06 1.4815e-04 0.002932 tau_patent_4 -7.417e-06 7.839e-09 -1.594e-06 1.3504e-04 0.003028 tau_dominance_1 2.090e-06 1.499e-09 1.258e-06 -1.1170e-04 -0.001892 tau_dominance_2 7.695e-07 2.856e-09 8.142e-07 -1.0455e-04 -0.001872 tau_dominance_3 -4.415e-06 7.270e-09 9.039e-07 -1.1053e-04 -0.001850 tau_dominance_4 -6.496e-06 8.960e-09 1.103e-06 -1.2021e-04 -0.001850 gamma_university gamma_age_50 zeta_quality zeta_ingredient zeta_patent b_brand_Novum -7.049e-06 -5.124e-07 -1.091e-06 -6.235e-06 4.645e-06 b_brand_BestValue 0.001787 0.001848 2.3382e-04 -1.7387e-04 1.2664e-04 b_brand_Supermarket 0.001799 0.001838 2.2073e-04 -1.6949e-04 1.6128e-04 b_brand_PainAway 0.001799 0.001853 2.2947e-04 -1.8418e-04 1.3073e-04 b_country_CH 2.586e-06 -7.663e-06 2.996e-06 7.445e-06 -6.562e-06 b_country_DK -8.469e-06 3.225e-06 -8.854e-06 -1.514e-06 -1.306e-05 b_country_IND 1.568e-05 -2.548e-05 2.341e-05 6.437e-06 3.565e-05 b_country_RUS -5.465e-06 2.168e-05 8.143e-06 -5.992e-06 -8.258e-06 b_country_BRA 1.002e-06 8.215e-06 2.219e-05 3.314e-06 -1.587e-05 b_char_fast 5.062e-06 4.099e-06 -6.202e-06 1.745e-05 -2.061e-05 b_char_double 3.247e-06 -7.304e-06 -3.912e-06 1.499e-05 -1.506e-05 b_risk 2.463e-09 -1.234e-08 4.224e-08 -2.198e-08 3.128e-08 b_price -7.661e-06 9.522e-06 -6.005e-06 -3.336e-06 -3.511e-06 lambda 4.9507e-04 -3.7633e-04 4.0112e-04 -3.1479e-04 3.8283e-04 gamma_reg_user 0.001063 -1.9459e-04 0.001478 -0.001166 0.001354 gamma_university 0.007243 -2.1784e-04 8.6069e-04 -7.3987e-04 7.9717e-04 gamma_age_50 -2.1784e-04 0.007144 -6.5058e-04 7.2674e-04 -9.2399e-04 zeta_quality 8.6069e-04 -6.5058e-04 0.006831 -6.8864e-04 5.0867e-04 zeta_ingredient -7.3987e-04 7.2674e-04 -6.8864e-04 0.006061 -6.5167e-04 zeta_patent 7.9717e-04 -9.2399e-04 5.0867e-04 -6.5167e-04 0.007863 zeta_dominance -8.0600e-04 3.0388e-04 -3.7700e-04 4.2492e-04 -2.5438e-04 tau_quality_1 0.002513 0.002779 -0.004930 -8.141e-05 3.4928e-04 tau_quality_2 0.002560 0.002738 -0.003365 -1.1529e-04 3.0631e-04 tau_quality_3 0.002698 0.002648 7.9149e-04 -1.7866e-04 1.2266e-04 tau_quality_4 0.002787 0.002623 0.002358 -1.9680e-04 2.460e-05 tau_ingredients_1 -0.002501 -0.002356 -2.9868e-04 0.001535 -8.615e-05 tau_ingredients_2 -0.002434 -0.002425 -2.6074e-04 1.8087e-04 -7.543e-05 tau_ingredients_3 -0.002340 -0.002554 -2.1661e-04 -0.002909 -9.833e-05 tau_ingredients_4 -0.002310 -0.002630 -2.1155e-04 -0.004297 -1.1796e-04 tau_patent_1 0.002899 0.003312 5.6810e-04 -2.1396e-04 -0.006191 tau_patent_2 0.002929 0.003198 4.7464e-04 -1.8576e-04 -0.003982 tau_patent_3 0.003019 0.003007 3.1034e-04 -1.3624e-04 4.7147e-04 tau_patent_4 0.003037 0.002908 2.3139e-04 -1.3395e-04 0.002185 tau_dominance_1 -0.001974 -0.001906 -1.8833e-04 1.0915e-04 -3.351e-06 tau_dominance_2 -0.001890 -0.001895 -2.0707e-04 1.1783e-04 -7.649e-05 tau_dominance_3 -0.001664 -0.001849 -2.9175e-04 1.1429e-04 -2.5129e-04 tau_dominance_4 -0.001566 -0.001824 -3.2644e-04 1.1109e-04 -3.1040e-04 zeta_dominance tau_quality_1 tau_quality_2 tau_quality_3 tau_quality_4 b_brand_Novum 1.496e-06 4.028e-07 4.906e-07 -2.209e-07 -8.619e-07 b_brand_BestValue -1.6265e-04 0.002336 0.002382 0.002479 0.002523 b_brand_Supermarket -1.7755e-04 0.002364 0.002406 0.002486 0.002523 b_brand_PainAway -1.6784e-04 0.002338 0.002385 0.002482 0.002525 b_country_CH 1.144e-06 -3.874e-06 -3.990e-06 -3.000e-06 -2.050e-06 b_country_DK 5.280e-06 5.754e-06 3.473e-06 -3.159e-06 -5.300e-06 b_country_IND -4.894e-06 -2.318e-05 -1.654e-05 -1.695e-06 3.839e-06 b_country_RUS -6.258e-06 -1.066e-05 -6.316e-06 4.552e-06 8.413e-06 b_country_BRA -1.518e-05 -2.525e-05 -1.915e-05 1.564e-06 1.039e-05 b_char_fast -1.817e-06 1.021e-05 6.970e-06 7.044e-07 -3.315e-07 b_char_double 5.275e-06 6.225e-06 4.017e-06 -1.566e-06 -3.232e-06 b_risk -5.828e-09 -4.317e-08 -2.877e-08 2.896e-09 1.416e-08 b_price 2.610e-06 6.073e-07 6.682e-08 -1.850e-06 -3.099e-06 lambda -2.9549e-04 1.8801e-04 1.6446e-04 1.3968e-04 1.5124e-04 gamma_reg_user -7.6105e-04 0.002257 0.002381 0.002693 0.002849 gamma_university -8.0600e-04 0.002513 0.002560 0.002698 0.002787 gamma_age_50 3.0388e-04 0.002779 0.002738 0.002648 0.002623 zeta_quality -3.7700e-04 -0.004930 -0.003365 7.9149e-04 0.002358 zeta_ingredient 4.2492e-04 -8.141e-05 -1.1529e-04 -1.7866e-04 -1.9680e-04 zeta_patent -2.5438e-04 3.4928e-04 3.0631e-04 1.2266e-04 2.460e-05 zeta_dominance 0.004895 -3.3133e-04 -3.0939e-04 -2.4476e-04 -2.1913e-04 tau_quality_1 -3.3133e-04 0.014642 0.010242 0.004416 0.002840 tau_quality_2 -3.0939e-04 0.010242 0.010818 0.005117 0.003792 tau_quality_3 -2.4476e-04 0.004416 0.005117 0.010260 0.008887 tau_quality_4 -2.1913e-04 0.002840 0.003792 0.008887 0.016604 tau_ingredients_1 2.3403e-04 -0.003219 -0.003248 -0.003338 -0.003400 tau_ingredients_2 2.3943e-04 -0.003209 -0.003237 -0.003313 -0.003365 tau_ingredients_3 2.2161e-04 -0.003190 -0.003212 -0.003280 -0.003335 tau_ingredients_4 2.2011e-04 -0.003186 -0.003206 -0.003284 -0.003350 tau_patent_1 -5.0447e-04 0.003691 0.003795 0.004134 0.004330 tau_patent_2 -4.1078e-04 0.003774 0.003858 0.004104 0.004245 tau_patent_3 -2.4922e-04 0.003967 0.004005 0.004098 0.004151 tau_patent_4 -1.7598e-04 0.004060 0.004069 0.004088 0.004108 tau_dominance_1 8.5930e-04 -0.002557 -0.002569 -0.002614 -0.002654 tau_dominance_2 1.198e-05 -0.002493 -0.002517 -0.002584 -0.002628 tau_dominance_3 -0.002618 -0.002294 -0.002351 -0.002499 -0.002576 tau_dominance_4 -0.003669 -0.002210 -0.002277 -0.002461 -0.002557 tau_ingredients_1 tau_ingredients_2 tau_ingredients_3 tau_ingredients_4 tau_patent_1 b_brand_Novum -8.215e-07 9.924e-07 4.782e-06 6.669e-06 -5.617e-06 b_brand_BestValue -0.002270 -0.002241 -0.002174 -0.002147 0.002721 b_brand_Supermarket -0.002275 -0.002248 -0.002186 -0.002163 0.002701 b_brand_PainAway -0.002276 -0.002243 -0.002166 -0.002135 0.002714 b_country_CH 5.561e-06 2.464e-06 -3.548e-06 -5.632e-06 3.926e-06 b_country_DK 4.753e-07 8.233e-07 2.542e-06 3.800e-06 1.035e-05 b_country_IND 7.151e-06 3.747e-06 -2.288e-06 -5.454e-06 -3.600e-05 b_country_RUS -6.373e-06 -2.566e-06 4.958e-06 7.612e-06 7.701e-06 b_country_BRA 2.549e-06 3.090e-06 8.713e-07 -8.200e-07 1.571e-05 b_char_fast 2.441e-06 -3.584e-06 -1.549e-05 -2.050e-05 2.602e-05 b_char_double 5.798e-06 -6.551e-07 -1.226e-05 -1.656e-05 1.806e-05 b_risk -2.706e-09 4.797e-09 1.850e-08 2.415e-08 -3.552e-08 b_price -2.117e-08 1.844e-06 6.196e-06 8.094e-06 -2.167e-06 lambda -1.2902e-04 -1.3758e-04 -1.8784e-04 -2.1753e-04 2.7212e-04 gamma_reg_user -0.002507 -0.002411 -0.002257 -0.002207 0.002770 gamma_university -0.002501 -0.002434 -0.002340 -0.002310 0.002899 gamma_age_50 -0.002356 -0.002425 -0.002554 -0.002630 0.003312 zeta_quality -2.9868e-04 -2.6074e-04 -2.1661e-04 -2.1155e-04 5.6810e-04 zeta_ingredient 0.001535 1.8087e-04 -0.002909 -0.004297 -2.1396e-04 zeta_patent -8.615e-05 -7.543e-05 -9.833e-05 -1.1796e-04 -0.006191 zeta_dominance 2.3403e-04 2.3943e-04 2.2161e-04 2.2011e-04 -5.0447e-04 tau_quality_1 -0.003219 -0.003209 -0.003190 -0.003186 0.003691 tau_quality_2 -0.003248 -0.003237 -0.003212 -0.003206 0.003795 tau_quality_3 -0.003338 -0.003313 -0.003280 -0.003284 0.004134 tau_quality_4 -0.003400 -0.003365 -0.003335 -0.003350 0.004330 tau_ingredients_1 0.014302 0.007714 0.003756 0.002967 -0.003821 tau_ingredients_2 0.007714 0.009125 0.004976 0.004376 -0.003775 tau_ingredients_3 0.003756 0.004976 0.009602 0.008955 -0.003675 tau_ingredients_4 0.002967 0.004376 0.008955 0.013287 -0.003638 tau_patent_1 -0.003821 -0.003775 -0.003675 -0.003638 0.017569 tau_patent_2 -0.003767 -0.003738 -0.003673 -0.003650 0.011846 tau_patent_3 -0.003719 -0.003710 -0.003701 -0.003716 0.005626 tau_patent_4 -0.003707 -0.003694 -0.003701 -0.003731 0.003765 tau_dominance_1 0.002390 0.002374 0.002358 0.002368 -0.003037 tau_dominance_2 0.002359 0.002338 0.002315 0.002318 -0.002919 tau_dominance_3 0.002277 0.002246 0.002221 0.002218 -0.002634 tau_dominance_4 0.002246 0.002207 0.002179 0.002175 -0.002526 tau_patent_2 tau_patent_3 tau_patent_4 tau_dominance_1 tau_dominance_2 b_brand_Novum -4.307e-06 -1.697e-06 -1.394e-07 1.071e-06 1.174e-06 b_brand_BestValue 0.002734 0.002771 0.002776 -0.001763 -0.001743 b_brand_Supermarket 0.002726 0.002782 0.002793 -0.001771 -0.001749 b_brand_PainAway 0.002731 0.002776 0.002782 -0.001766 -0.001745 b_country_CH 8.585e-07 -4.345e-06 -6.550e-06 2.788e-06 2.535e-06 b_country_DK 5.507e-06 -3.736e-06 -6.945e-06 2.594e-06 1.938e-06 b_country_IND -2.353e-05 -4.669e-07 7.192e-06 3.601e-06 3.561e-06 b_country_RUS 6.680e-06 5.061e-06 4.444e-06 -5.189e-06 -3.182e-06 b_country_BRA 9.591e-06 -1.162e-06 -4.852e-06 -3.814e-06 3.903e-07 b_char_fast 1.820e-05 2.404e-06 -4.108e-06 -2.669e-06 -2.400e-06 b_char_double 1.129e-05 -2.078e-06 -7.417e-06 2.090e-06 7.695e-07 b_risk -2.390e-08 -1.053e-09 7.839e-09 1.499e-09 2.856e-09 b_price -1.479e-06 -1.231e-06 -1.594e-06 1.258e-06 8.142e-07 lambda 2.1913e-04 1.4815e-04 1.3504e-04 -1.1170e-04 -1.0455e-04 gamma_reg_user 0.002796 0.002932 0.003028 -0.001892 -0.001872 gamma_university 0.002929 0.003019 0.003037 -0.001974 -0.001890 gamma_age_50 0.003198 0.003007 0.002908 -0.001906 -0.001895 zeta_quality 4.7464e-04 3.1034e-04 2.3139e-04 -1.8833e-04 -2.0707e-04 zeta_ingredient -1.8576e-04 -1.3624e-04 -1.3395e-04 1.0915e-04 1.1783e-04 zeta_patent -0.003982 4.7147e-04 0.002185 -3.351e-06 -7.649e-05 zeta_dominance -4.1078e-04 -2.4922e-04 -1.7598e-04 8.5930e-04 1.198e-05 tau_quality_1 0.003774 0.003967 0.004060 -0.002557 -0.002493 tau_quality_2 0.003858 0.004005 0.004069 -0.002569 -0.002517 tau_quality_3 0.004104 0.004098 0.004088 -0.002614 -0.002584 tau_quality_4 0.004245 0.004151 0.004108 -0.002654 -0.002628 tau_ingredients_1 -0.003767 -0.003719 -0.003707 0.002390 0.002359 tau_ingredients_2 -0.003738 -0.003710 -0.003694 0.002374 0.002338 tau_ingredients_3 -0.003673 -0.003701 -0.003701 0.002358 0.002315 tau_ingredients_4 -0.003650 -0.003716 -0.003731 0.002368 0.002318 tau_patent_1 0.011846 0.005626 0.003765 -0.003037 -0.002919 tau_patent_2 0.012297 0.006407 0.004897 -0.002982 -0.002897 tau_patent_3 0.006407 0.010935 0.009509 -0.002923 -0.002893 tau_patent_4 0.004897 0.009509 0.014863 -0.002896 -0.002888 tau_dominance_1 -0.002982 -0.002923 -0.002896 0.014042 0.006764 tau_dominance_2 -0.002897 -0.002893 -0.002888 0.006764 0.007993 tau_dominance_3 -0.002684 -0.002804 -0.002857 0.002781 0.003639 tau_dominance_4 -0.002597 -0.002763 -0.002841 0.002212 0.003165 tau_dominance_3 tau_dominance_4 b_brand_Novum 4.234e-07 -5.326e-07 b_brand_BestValue -0.001677 -0.001644 b_brand_Supermarket -0.001675 -0.001638 b_brand_PainAway -0.001673 -0.001637 b_country_CH 4.932e-07 -4.575e-07 b_country_DK -1.711e-06 -3.425e-06 b_country_IND 3.770e-06 5.428e-06 b_country_RUS 3.337e-06 6.250e-06 b_country_BRA 1.073e-05 1.487e-05 b_char_fast -2.627e-06 -2.127e-06 b_char_double -4.415e-06 -6.496e-06 b_risk 7.270e-09 8.960e-09 b_price 9.039e-07 1.103e-06 lambda -1.1053e-04 -1.2021e-04 gamma_reg_user -0.001850 -0.001850 gamma_university -0.001664 -0.001566 gamma_age_50 -0.001849 -0.001824 zeta_quality -2.9175e-04 -3.2644e-04 zeta_ingredient 1.1429e-04 1.1109e-04 zeta_patent -2.5129e-04 -3.1040e-04 zeta_dominance -0.002618 -0.003669 tau_quality_1 -0.002294 -0.002210 tau_quality_2 -0.002351 -0.002277 tau_quality_3 -0.002499 -0.002461 tau_quality_4 -0.002576 -0.002557 tau_ingredients_1 0.002277 0.002246 tau_ingredients_2 0.002246 0.002207 tau_ingredients_3 0.002221 0.002179 tau_ingredients_4 0.002218 0.002175 tau_patent_1 -0.002634 -0.002526 tau_patent_2 -0.002684 -0.002597 tau_patent_3 -0.002804 -0.002763 tau_patent_4 -0.002857 -0.002841 tau_dominance_1 0.002781 0.002212 tau_dominance_2 0.003639 0.003165 tau_dominance_3 0.008396 0.007693 tau_dominance_4 0.007693 0.012869 Robust covariance matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_PainAway b_country_CH b_brand_Novum 0.001020 4.4511e-04 5.3064e-04 4.1935e-04 -1.2588e-04 b_brand_BestValue 4.4511e-04 0.005567 0.004440 0.004183 4.9453e-04 b_brand_Supermarket 5.3064e-04 0.004440 0.005998 0.004450 5.6095e-04 b_brand_PainAway 4.1935e-04 0.004183 0.004450 0.005801 4.1870e-04 b_country_CH -1.2588e-04 4.9453e-04 5.6095e-04 4.1870e-04 0.001504 b_country_DK -4.556e-05 4.1224e-04 5.4771e-04 4.3984e-04 6.8553e-04 b_country_IND -5.945e-05 -0.001672 -0.001700 -0.001454 -5.571e-05 b_country_RUS -5.291e-05 -0.001654 -0.001592 -0.001408 -1.4649e-04 b_country_BRA 3.672e-05 -0.001430 -0.001776 -0.001320 -1.0974e-04 b_char_fast -5.062e-05 -2.174e-05 1.2001e-04 -7.325e-05 1.1580e-04 b_char_double -1.577e-05 3.5303e-04 4.1233e-04 2.0549e-04 1.1278e-04 b_risk 1.365e-07 -4.520e-07 -5.460e-07 -1.845e-07 -1.566e-08 b_price 4.233e-05 3.4062e-04 3.0966e-04 3.8758e-04 -8.106e-05 lambda -4.838e-05 -3.0466e-04 -2.3094e-04 -2.9909e-04 9.344e-05 gamma_reg_user -3.394e-06 0.001723 0.001925 0.001863 -1.638e-05 gamma_university -3.688e-05 0.001725 0.001697 0.001745 -1.7209e-04 gamma_age_50 -6.710e-05 0.002059 0.002182 0.002176 -4.882e-05 zeta_quality 1.370e-05 3.0274e-04 2.8905e-04 3.6470e-04 -2.953e-05 zeta_ingredient -4.128e-05 4.555e-05 2.0656e-04 2.8721e-04 9.539e-05 zeta_patent 9.964e-05 2.1481e-04 3.1225e-04 3.3129e-04 -1.0323e-04 zeta_dominance -7.596e-05 -3.5592e-04 -4.1383e-04 -3.1347e-04 -5.137e-05 tau_quality_1 2.876e-05 0.002311 0.002620 0.002502 -6.536e-05 tau_quality_2 -4.494e-05 0.002337 0.002415 0.002337 -1.6600e-04 tau_quality_3 7.188e-05 0.002472 0.002662 0.002698 -1.9142e-04 tau_quality_4 8.264e-05 0.002564 0.002606 0.002686 -2.1816e-04 tau_ingredients_1 -7.617e-05 -0.002174 -0.002274 -0.002306 1.5835e-04 tau_ingredients_2 -5.793e-05 -0.002340 -0.002446 -0.002238 2.0194e-04 tau_ingredients_3 2.705e-06 -0.002362 -0.002662 -0.002412 7.577e-05 tau_ingredients_4 -2.485e-05 -0.002162 -0.002605 -0.002547 -2.912e-05 tau_patent_1 9.744e-06 0.002487 0.002562 0.002299 -6.742e-05 tau_patent_2 3.583e-05 0.002665 0.002764 0.002655 -6.404e-05 tau_patent_3 -1.2225e-04 0.002711 0.002942 0.002832 8.551e-05 tau_patent_4 -8.309e-05 0.002994 0.003173 0.003013 8.713e-05 tau_dominance_1 -2.436e-05 -0.002202 -0.002612 -0.002157 -1.0732e-04 tau_dominance_2 -2.080e-05 -0.001863 -0.002242 -0.001973 -2.928e-05 tau_dominance_3 -2.181e-05 -0.001872 -0.002005 -0.002055 -2.876e-05 tau_dominance_4 1.4483e-04 -0.001525 -0.001614 -0.001720 -3.718e-07 b_country_DK b_country_IND b_country_RUS b_country_BRA b_char_fast b_brand_Novum -4.556e-05 -5.945e-05 -5.291e-05 3.672e-05 -5.062e-05 b_brand_BestValue 4.1224e-04 -0.001672 -0.001654 -0.001430 -2.174e-05 b_brand_Supermarket 5.4771e-04 -0.001700 -0.001592 -0.001776 1.2001e-04 b_brand_PainAway 4.3984e-04 -0.001454 -0.001408 -0.001320 -7.325e-05 b_country_CH 6.8553e-04 -5.571e-05 -1.4649e-04 -1.0974e-04 1.1580e-04 b_country_DK 0.001411 4.998e-05 -1.654e-05 3.447e-06 7.206e-06 b_country_IND 4.998e-05 0.003370 0.001456 0.001848 -1.4554e-04 b_country_RUS -1.654e-05 0.001456 0.003736 0.001873 -1.4946e-04 b_country_BRA 3.447e-06 0.001848 0.001873 0.003819 -1.8575e-04 b_char_fast 7.206e-06 -1.4554e-04 -1.4946e-04 -1.8575e-04 8.3499e-04 b_char_double -2.144e-05 -8.079e-05 -1.0529e-04 -1.3762e-04 4.6071e-04 b_risk 1.041e-07 2.403e-07 2.630e-07 1.211e-07 -1.580e-07 b_price -3.883e-05 5.686e-05 2.977e-05 5.904e-05 -7.406e-05 lambda 3.322e-05 5.899e-05 -1.7266e-04 -3.572e-05 8.223e-05 gamma_reg_user 5.695e-06 1.4730e-04 -4.875e-05 3.2682e-04 5.959e-05 gamma_university -1.0413e-04 8.552e-05 4.998e-05 3.0284e-04 -1.6225e-04 gamma_age_50 -8.929e-05 -1.7058e-04 -4.816e-05 -7.075e-05 1.8869e-04 zeta_quality -7.520e-05 1.3856e-04 -5.136e-05 9.557e-05 2.749e-05 zeta_ingredient -2.191e-05 -9.967e-05 -1.1298e-04 -1.0452e-04 2.869e-05 zeta_patent -4.913e-05 -7.579e-05 6.832e-05 6.679e-05 -6.817e-05 zeta_dominance -2.422e-05 1.265e-05 3.115e-06 5.246e-05 -3.487e-06 tau_quality_1 -9.151e-05 9.265e-06 -9.955e-05 2.2676e-04 7.623e-05 tau_quality_2 -9.016e-05 -3.155e-05 -9.599e-05 1.3483e-04 3.079e-05 tau_quality_3 -1.0372e-04 6.660e-05 -1.4395e-04 1.7362e-04 1.508e-05 tau_quality_4 -1.0436e-04 -1.0502e-04 -9.234e-05 1.7034e-04 2.649e-05 tau_ingredients_1 -1.081e-05 3.490e-05 -1.6362e-04 -4.1696e-04 9.746e-05 tau_ingredients_2 1.8368e-04 1.0304e-04 -5.668e-05 -9.243e-05 -5.001e-05 tau_ingredients_3 5.993e-05 1.8490e-04 9.357e-05 9.824e-06 -3.933e-05 tau_ingredients_4 2.1907e-04 5.182e-05 -2.585e-05 3.728e-05 -5.892e-05 tau_patent_1 -1.9864e-04 3.8399e-04 -2.894e-06 4.9017e-04 1.5388e-04 tau_patent_2 -1.5089e-04 1.8823e-04 4.011e-06 3.4563e-04 1.5998e-04 tau_patent_3 -8.074e-05 -1.2384e-04 -6.717e-05 3.3654e-04 3.565e-05 tau_patent_4 -1.4837e-04 -2.2854e-04 -9.633e-05 3.1008e-04 1.384e-05 tau_dominance_1 -9.558e-05 2.7225e-04 9.793e-05 5.794e-05 -1.2034e-04 tau_dominance_2 8.227e-05 2.366e-05 -6.770e-05 -1.9694e-04 -5.151e-05 tau_dominance_3 -8.209e-05 5.915e-05 5.376e-05 -2.3525e-04 1.385e-05 tau_dominance_4 4.296e-06 -1.1686e-04 -1.7250e-04 -2.7619e-04 -6.261e-05 b_char_double b_risk b_price lambda gamma_reg_user b_brand_Novum -1.577e-05 1.365e-07 4.233e-05 -4.838e-05 -3.394e-06 b_brand_BestValue 3.5303e-04 -4.520e-07 3.4062e-04 -3.0466e-04 0.001723 b_brand_Supermarket 4.1233e-04 -5.460e-07 3.0966e-04 -2.3094e-04 0.001925 b_brand_PainAway 2.0549e-04 -1.845e-07 3.8758e-04 -2.9909e-04 0.001863 b_country_CH 1.1278e-04 -1.566e-08 -8.106e-05 9.344e-05 -1.638e-05 b_country_DK -2.144e-05 1.041e-07 -3.883e-05 3.322e-05 5.695e-06 b_country_IND -8.079e-05 2.403e-07 5.686e-05 5.899e-05 1.4730e-04 b_country_RUS -1.0529e-04 2.630e-07 2.977e-05 -1.7266e-04 -4.875e-05 b_country_BRA -1.3762e-04 1.211e-07 5.904e-05 -3.572e-05 3.2682e-04 b_char_fast 4.6071e-04 -1.580e-07 -7.406e-05 8.223e-05 5.959e-05 b_char_double 0.001339 -2.268e-08 -1.1610e-04 6.375e-05 4.663e-05 b_risk -2.268e-08 3.532e-09 1.256e-07 -1.036e-07 1.739e-07 b_price -1.1610e-04 1.256e-07 2.9876e-04 -3.828e-05 6.425e-06 lambda 6.375e-05 -1.036e-07 -3.828e-05 0.001009 8.8179e-04 gamma_reg_user 4.663e-05 1.739e-07 6.425e-06 8.8179e-04 0.008590 gamma_university 9.422e-07 1.510e-07 -2.734e-05 4.9252e-04 0.001214 gamma_age_50 8.423e-05 -3.710e-07 4.095e-05 -1.6496e-04 4.8401e-04 zeta_quality -4.950e-05 2.529e-07 1.565e-05 3.1851e-04 0.001899 zeta_ingredient 1.5798e-04 1.039e-07 3.256e-05 -3.4790e-04 -9.0346e-04 zeta_patent 4.752e-05 -1.163e-07 6.354e-05 3.0665e-04 0.001177 zeta_dominance -1.128e-05 -1.503e-08 8.201e-05 -3.3255e-04 -6.9688e-04 tau_quality_1 -7.052e-06 -6.680e-08 5.782e-05 3.6847e-04 0.002637 tau_quality_2 -5.326e-05 9.159e-09 2.643e-05 2.6803e-04 0.002672 tau_quality_3 -1.6161e-04 1.421e-07 4.541e-05 1.6139e-04 0.003056 tau_quality_4 -2.7803e-04 1.954e-07 -2.049e-05 8.510e-05 0.003198 tau_ingredients_1 1.0797e-04 2.320e-07 -2.952e-05 -1.5429e-04 -0.002416 tau_ingredients_2 -1.4578e-04 2.276e-07 -3.549e-05 -1.2527e-04 -0.002462 tau_ingredients_3 -1.5449e-04 7.390e-08 -8.355e-05 -2.5860e-04 -0.002532 tau_ingredients_4 -1.6655e-04 2.115e-07 -3.944e-05 -2.0538e-04 -0.002343 tau_patent_1 9.342e-05 -1.882e-07 2.337e-05 3.9407e-04 0.003152 tau_patent_2 -4.652e-05 -1.199e-07 9.201e-06 3.2228e-04 0.003241 tau_patent_3 -1.2878e-04 -1.021e-08 -5.355e-06 2.5350e-04 0.003250 tau_patent_4 -1.2263e-04 -1.714e-07 -7.913e-06 1.6320e-04 0.003089 tau_dominance_1 -2.1131e-04 -2.303e-07 -6.315e-05 -1.3457e-04 -0.002362 tau_dominance_2 -5.012e-05 -7.600e-08 -6.494e-05 -8.796e-05 -0.001973 tau_dominance_3 -9.299e-05 1.148e-07 -8.597e-05 -1.3733e-04 -0.002214 tau_dominance_4 -1.9386e-04 -1.068e-07 -6.767e-05 -3.730e-05 -0.002292 gamma_university gamma_age_50 zeta_quality zeta_ingredient zeta_patent b_brand_Novum -3.688e-05 -6.710e-05 1.370e-05 -4.128e-05 9.964e-05 b_brand_BestValue 0.001725 0.002059 3.0274e-04 4.555e-05 2.1481e-04 b_brand_Supermarket 0.001697 0.002182 2.8905e-04 2.0656e-04 3.1225e-04 b_brand_PainAway 0.001745 0.002176 3.6470e-04 2.8721e-04 3.3129e-04 b_country_CH -1.7209e-04 -4.882e-05 -2.953e-05 9.539e-05 -1.0323e-04 b_country_DK -1.0413e-04 -8.929e-05 -7.520e-05 -2.191e-05 -4.913e-05 b_country_IND 8.552e-05 -1.7058e-04 1.3856e-04 -9.967e-05 -7.579e-05 b_country_RUS 4.998e-05 -4.816e-05 -5.136e-05 -1.1298e-04 6.832e-05 b_country_BRA 3.0284e-04 -7.075e-05 9.557e-05 -1.0452e-04 6.679e-05 b_char_fast -1.6225e-04 1.8869e-04 2.749e-05 2.869e-05 -6.817e-05 b_char_double 9.422e-07 8.423e-05 -4.950e-05 1.5798e-04 4.752e-05 b_risk 1.510e-07 -3.710e-07 2.529e-07 1.039e-07 -1.163e-07 b_price -2.734e-05 4.095e-05 1.565e-05 3.256e-05 6.354e-05 lambda 4.9252e-04 -1.6496e-04 3.1851e-04 -3.4790e-04 3.0665e-04 gamma_reg_user 0.001214 4.8401e-04 0.001899 -9.0346e-04 0.001177 gamma_university 0.007528 -2.603e-05 9.0124e-04 -9.2364e-04 7.5109e-04 gamma_age_50 -2.603e-05 0.007225 -6.8681e-04 0.001003 -0.001027 zeta_quality 9.0124e-04 -6.8681e-04 0.007039 -0.001160 6.1666e-04 zeta_ingredient -9.2364e-04 0.001003 -0.001160 0.006279 -8.2845e-04 zeta_patent 7.5109e-04 -0.001027 6.1666e-04 -8.2845e-04 0.007965 zeta_dominance -0.001604 1.6498e-04 -3.3053e-04 7.5835e-04 -3.6009e-04 tau_quality_1 0.003020 0.003088 -0.004921 1.2808e-04 5.7195e-04 tau_quality_2 0.002874 0.002851 -0.003260 -2.508e-05 4.2266e-04 tau_quality_3 0.002725 0.002904 9.4978e-04 -3.252e-05 3.7622e-04 tau_quality_4 0.002905 0.002508 0.002679 -1.1981e-04 5.4783e-04 tau_ingredients_1 -0.002801 -0.002703 -4.1379e-04 0.001487 3.3450e-04 tau_ingredients_2 -0.002570 -0.002798 -1.3199e-04 9.652e-05 2.8969e-04 tau_ingredients_3 -0.002359 -0.002869 6.940e-06 -0.003156 2.3374e-04 tau_ingredients_4 -0.002035 -0.003059 -1.3820e-04 -0.004633 -6.093e-05 tau_patent_1 0.002888 0.003491 6.3882e-04 2.034e-05 -0.006252 tau_patent_2 0.003315 0.003443 6.0226e-04 3.847e-05 -0.003895 tau_patent_3 0.003462 0.003279 3.3518e-04 1.9037e-04 5.3855e-04 tau_patent_4 0.003555 0.003343 4.4609e-04 4.4857e-04 0.002060 tau_dominance_1 -0.001950 -0.001969 -5.3514e-04 7.098e-05 -6.3812e-04 tau_dominance_2 -0.002099 -0.002365 -1.4568e-04 7.837e-05 -3.0387e-04 tau_dominance_3 -0.001561 -0.002081 -3.7087e-04 -9.992e-05 -6.4411e-04 tau_dominance_4 -0.001202 -0.001985 -5.8535e-04 -1.7832e-04 -2.0351e-04 zeta_dominance tau_quality_1 tau_quality_2 tau_quality_3 tau_quality_4 b_brand_Novum -7.596e-05 2.876e-05 -4.494e-05 7.188e-05 8.264e-05 b_brand_BestValue -3.5592e-04 0.002311 0.002337 0.002472 0.002564 b_brand_Supermarket -4.1383e-04 0.002620 0.002415 0.002662 0.002606 b_brand_PainAway -3.1347e-04 0.002502 0.002337 0.002698 0.002686 b_country_CH -5.137e-05 -6.536e-05 -1.6600e-04 -1.9142e-04 -2.1816e-04 b_country_DK -2.422e-05 -9.151e-05 -9.016e-05 -1.0372e-04 -1.0436e-04 b_country_IND 1.265e-05 9.265e-06 -3.155e-05 6.660e-05 -1.0502e-04 b_country_RUS 3.115e-06 -9.955e-05 -9.599e-05 -1.4395e-04 -9.234e-05 b_country_BRA 5.246e-05 2.2676e-04 1.3483e-04 1.7362e-04 1.7034e-04 b_char_fast -3.487e-06 7.623e-05 3.079e-05 1.508e-05 2.649e-05 b_char_double -1.128e-05 -7.052e-06 -5.326e-05 -1.6161e-04 -2.7803e-04 b_risk -1.503e-08 -6.680e-08 9.159e-09 1.421e-07 1.954e-07 b_price 8.201e-05 5.782e-05 2.643e-05 4.541e-05 -2.049e-05 lambda -3.3255e-04 3.6847e-04 2.6803e-04 1.6139e-04 8.510e-05 gamma_reg_user -6.9688e-04 0.002637 0.002672 0.003056 0.003198 gamma_university -0.001604 0.003020 0.002874 0.002725 0.002905 gamma_age_50 1.6498e-04 0.003088 0.002851 0.002904 0.002508 zeta_quality -3.3053e-04 -0.004921 -0.003260 9.4978e-04 0.002679 zeta_ingredient 7.5835e-04 1.2808e-04 -2.508e-05 -3.252e-05 -1.1981e-04 zeta_patent -3.6009e-04 5.7195e-04 4.2266e-04 3.7622e-04 5.4783e-04 zeta_dominance 0.004786 -7.0288e-04 -6.7296e-04 -6.4744e-04 -6.4862e-04 tau_quality_1 -7.0288e-04 0.015512 0.010692 0.004738 0.002940 tau_quality_2 -6.7296e-04 0.010692 0.010935 0.005262 0.003785 tau_quality_3 -6.4744e-04 0.004738 0.005262 0.010465 0.009016 tau_quality_4 -6.4862e-04 0.002940 0.003785 0.009016 0.016739 tau_ingredients_1 6.0421e-04 -0.003766 -0.003959 -0.003584 -0.003513 tau_ingredients_2 6.6179e-04 -0.004069 -0.003908 -0.003743 -0.003563 tau_ingredients_3 3.1693e-04 -0.003673 -0.003642 -0.003293 -0.003260 tau_ingredients_4 3.5377e-04 -0.003208 -0.003454 -0.003464 -0.003284 tau_patent_1 -7.4058e-04 0.003906 0.003803 0.003469 0.003322 tau_patent_2 -8.7573e-04 0.004449 0.004211 0.003998 0.003890 tau_patent_3 -7.9225e-04 0.004683 0.004658 0.004186 0.004102 tau_patent_4 -0.001093 0.004611 0.004424 0.004256 0.004179 tau_dominance_1 6.8703e-04 -0.002746 -0.002625 -0.002567 -0.002983 tau_dominance_2 2.7549e-04 -0.002898 -0.002753 -0.002942 -0.002736 tau_dominance_3 -0.002321 -0.002670 -0.002450 -0.002351 -0.002178 tau_dominance_4 -0.003268 -0.002319 -0.002564 -0.002338 -0.002352 tau_ingredients_1 tau_ingredients_2 tau_ingredients_3 tau_ingredients_4 tau_patent_1 b_brand_Novum -7.617e-05 -5.793e-05 2.705e-06 -2.485e-05 9.744e-06 b_brand_BestValue -0.002174 -0.002340 -0.002362 -0.002162 0.002487 b_brand_Supermarket -0.002274 -0.002446 -0.002662 -0.002605 0.002562 b_brand_PainAway -0.002306 -0.002238 -0.002412 -0.002547 0.002299 b_country_CH 1.5835e-04 2.0194e-04 7.577e-05 -2.912e-05 -6.742e-05 b_country_DK -1.081e-05 1.8368e-04 5.993e-05 2.1907e-04 -1.9864e-04 b_country_IND 3.490e-05 1.0304e-04 1.8490e-04 5.182e-05 3.8399e-04 b_country_RUS -1.6362e-04 -5.668e-05 9.357e-05 -2.585e-05 -2.894e-06 b_country_BRA -4.1696e-04 -9.243e-05 9.824e-06 3.728e-05 4.9017e-04 b_char_fast 9.746e-05 -5.001e-05 -3.933e-05 -5.892e-05 1.5388e-04 b_char_double 1.0797e-04 -1.4578e-04 -1.5449e-04 -1.6655e-04 9.342e-05 b_risk 2.320e-07 2.276e-07 7.390e-08 2.115e-07 -1.882e-07 b_price -2.952e-05 -3.549e-05 -8.355e-05 -3.944e-05 2.337e-05 lambda -1.5429e-04 -1.2527e-04 -2.5860e-04 -2.0538e-04 3.9407e-04 gamma_reg_user -0.002416 -0.002462 -0.002532 -0.002343 0.003152 gamma_university -0.002801 -0.002570 -0.002359 -0.002035 0.002888 gamma_age_50 -0.002703 -0.002798 -0.002869 -0.003059 0.003491 zeta_quality -4.1379e-04 -1.3199e-04 6.940e-06 -1.3820e-04 6.3882e-04 zeta_ingredient 0.001487 9.652e-05 -0.003156 -0.004633 2.034e-05 zeta_patent 3.3450e-04 2.8969e-04 2.3374e-04 -6.093e-05 -0.006252 zeta_dominance 6.0421e-04 6.6179e-04 3.1693e-04 3.5377e-04 -7.4058e-04 tau_quality_1 -0.003766 -0.004069 -0.003673 -0.003208 0.003906 tau_quality_2 -0.003959 -0.003908 -0.003642 -0.003454 0.003803 tau_quality_3 -0.003584 -0.003743 -0.003293 -0.003464 0.003469 tau_quality_4 -0.003513 -0.003563 -0.003260 -0.003284 0.003322 tau_ingredients_1 0.014700 0.007966 0.003881 0.002961 -0.004477 tau_ingredients_2 0.007966 0.009290 0.005092 0.004369 -0.003998 tau_ingredients_3 0.003881 0.005092 0.009847 0.009077 -0.003889 tau_ingredients_4 0.002961 0.004369 0.009077 0.013271 -0.003369 tau_patent_1 -0.004477 -0.003998 -0.003889 -0.003369 0.017181 tau_patent_2 -0.004399 -0.004254 -0.004078 -0.003629 0.011693 tau_patent_3 -0.004211 -0.004023 -0.004082 -0.004131 0.005628 tau_patent_4 -0.004552 -0.004263 -0.004246 -0.004582 0.004005 tau_dominance_1 0.001698 0.002341 0.002706 0.002890 -0.002350 tau_dominance_2 0.002424 0.002658 0.002511 0.002658 -0.002509 tau_dominance_3 0.002583 0.002382 0.002533 0.002314 -0.002300 tau_dominance_4 0.002358 0.002256 0.002289 0.002069 -0.002244 tau_patent_2 tau_patent_3 tau_patent_4 tau_dominance_1 tau_dominance_2 b_brand_Novum 3.583e-05 -1.2225e-04 -8.309e-05 -2.436e-05 -2.080e-05 b_brand_BestValue 0.002665 0.002711 0.002994 -0.002202 -0.001863 b_brand_Supermarket 0.002764 0.002942 0.003173 -0.002612 -0.002242 b_brand_PainAway 0.002655 0.002832 0.003013 -0.002157 -0.001973 b_country_CH -6.404e-05 8.551e-05 8.713e-05 -1.0732e-04 -2.928e-05 b_country_DK -1.5089e-04 -8.074e-05 -1.4837e-04 -9.558e-05 8.227e-05 b_country_IND 1.8823e-04 -1.2384e-04 -2.2854e-04 2.7225e-04 2.366e-05 b_country_RUS 4.011e-06 -6.717e-05 -9.633e-05 9.793e-05 -6.770e-05 b_country_BRA 3.4563e-04 3.3654e-04 3.1008e-04 5.794e-05 -1.9694e-04 b_char_fast 1.5998e-04 3.565e-05 1.384e-05 -1.2034e-04 -5.151e-05 b_char_double -4.652e-05 -1.2878e-04 -1.2263e-04 -2.1131e-04 -5.012e-05 b_risk -1.199e-07 -1.021e-08 -1.714e-07 -2.303e-07 -7.600e-08 b_price 9.201e-06 -5.355e-06 -7.913e-06 -6.315e-05 -6.494e-05 lambda 3.2228e-04 2.5350e-04 1.6320e-04 -1.3457e-04 -8.796e-05 gamma_reg_user 0.003241 0.003250 0.003089 -0.002362 -0.001973 gamma_university 0.003315 0.003462 0.003555 -0.001950 -0.002099 gamma_age_50 0.003443 0.003279 0.003343 -0.001969 -0.002365 zeta_quality 6.0226e-04 3.3518e-04 4.4609e-04 -5.3514e-04 -1.4568e-04 zeta_ingredient 3.847e-05 1.9037e-04 4.4857e-04 7.098e-05 7.837e-05 zeta_patent -0.003895 5.3855e-04 0.002060 -6.3812e-04 -3.0387e-04 zeta_dominance -8.7573e-04 -7.9225e-04 -0.001093 6.8703e-04 2.7549e-04 tau_quality_1 0.004449 0.004683 0.004611 -0.002746 -0.002898 tau_quality_2 0.004211 0.004658 0.004424 -0.002625 -0.002753 tau_quality_3 0.003998 0.004186 0.004256 -0.002567 -0.002942 tau_quality_4 0.003890 0.004102 0.004179 -0.002983 -0.002736 tau_ingredients_1 -0.004399 -0.004211 -0.004552 0.001698 0.002424 tau_ingredients_2 -0.004254 -0.004023 -0.004263 0.002341 0.002658 tau_ingredients_3 -0.004078 -0.004082 -0.004246 0.002706 0.002511 tau_ingredients_4 -0.003629 -0.004131 -0.004582 0.002890 0.002658 tau_patent_1 0.011693 0.005628 0.004005 -0.002350 -0.002509 tau_patent_2 0.012426 0.006740 0.005437 -0.002759 -0.002820 tau_patent_3 0.006740 0.011459 0.010105 -0.002869 -0.003102 tau_patent_4 0.005437 0.010105 0.015447 -0.003298 -0.003334 tau_dominance_1 -0.002759 -0.002869 -0.003298 0.014029 0.007024 tau_dominance_2 -0.002820 -0.003102 -0.003334 0.007024 0.008330 tau_dominance_3 -0.002597 -0.002965 -0.002770 0.003143 0.003775 tau_dominance_4 -0.002533 -0.002813 -0.002208 0.002634 0.003225 tau_dominance_3 tau_dominance_4 b_brand_Novum -2.181e-05 1.4483e-04 b_brand_BestValue -0.001872 -0.001525 b_brand_Supermarket -0.002005 -0.001614 b_brand_PainAway -0.002055 -0.001720 b_country_CH -2.876e-05 -3.718e-07 b_country_DK -8.209e-05 4.296e-06 b_country_IND 5.915e-05 -1.1686e-04 b_country_RUS 5.376e-05 -1.7250e-04 b_country_BRA -2.3525e-04 -2.7619e-04 b_char_fast 1.385e-05 -6.261e-05 b_char_double -9.299e-05 -1.9386e-04 b_risk 1.148e-07 -1.068e-07 b_price -8.597e-05 -6.767e-05 lambda -1.3733e-04 -3.730e-05 gamma_reg_user -0.002214 -0.002292 gamma_university -0.001561 -0.001202 gamma_age_50 -0.002081 -0.001985 zeta_quality -3.7087e-04 -5.8535e-04 zeta_ingredient -9.992e-05 -1.7832e-04 zeta_patent -6.4411e-04 -2.0351e-04 zeta_dominance -0.002321 -0.003268 tau_quality_1 -0.002670 -0.002319 tau_quality_2 -0.002450 -0.002564 tau_quality_3 -0.002351 -0.002338 tau_quality_4 -0.002178 -0.002352 tau_ingredients_1 0.002583 0.002358 tau_ingredients_2 0.002382 0.002256 tau_ingredients_3 0.002533 0.002289 tau_ingredients_4 0.002314 0.002069 tau_patent_1 -0.002300 -0.002244 tau_patent_2 -0.002597 -0.002533 tau_patent_3 -0.002965 -0.002813 tau_patent_4 -0.002770 -0.002208 tau_dominance_1 0.003143 0.002634 tau_dominance_2 0.003775 0.003225 tau_dominance_3 0.008412 0.007603 tau_dominance_4 0.007603 0.012648 Classical correlation matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_PainAway b_country_CH b_brand_Novum 1.000000 0.20209 0.24573 0.21324 -0.054105 b_brand_BestValue 0.202091 1.00000 0.79071 0.74605 0.243389 b_brand_Supermarket 0.245726 0.79071 1.00000 0.74775 0.236345 b_brand_PainAway 0.213242 0.74605 0.74775 1.00000 0.187599 b_country_CH -0.054105 0.24339 0.23634 0.18760 1.000000 b_country_DK -0.047151 0.22796 0.23729 0.19466 0.492877 b_country_IND -0.033220 -0.35363 -0.36601 -0.31808 0.007181 b_country_RUS -0.037777 -0.32656 -0.33785 -0.27245 -0.031944 b_country_BRA -0.006582 -0.30749 -0.36479 -0.29585 -0.033181 b_char_fast 0.011677 -0.01037 0.03355 -0.04235 0.076365 b_char_double 0.065561 0.13387 0.15742 0.09649 0.088334 b_risk 0.001590 -0.15289 -0.16223 -0.04216 -0.064832 b_price 0.066139 0.25543 0.23189 0.29550 -0.121244 lambda -0.012315 -0.13138 -0.12036 -0.15268 0.038027 gamma_reg_user 0.001443 0.24764 0.24878 0.24091 4.8860e-04 gamma_university -0.002688 0.27497 0.27344 0.27189 7.6246e-04 gamma_age_50 -1.9676e-04 0.28639 0.28130 0.28196 -0.002275 zeta_quality -4.2825e-04 0.03705 0.03455 0.03570 9.0988e-04 zeta_ingredient -0.002599 -0.02925 -0.02817 -0.03042 0.002400 zeta_patent 0.001700 0.01870 0.02353 0.01896 -0.001857 zeta_dominance 6.9394e-04 -0.03045 -0.03283 -0.03085 4.1033e-04 tau_quality_1 1.0803e-04 0.25280 0.25279 0.24849 -8.0358e-04 tau_quality_2 1.5309e-04 0.29997 0.29925 0.29495 -9.6282e-04 tau_quality_3 -7.080e-05 0.32048 0.31757 0.31515 -7.4336e-04 tau_quality_4 -2.1709e-04 0.25638 0.25335 0.25198 -3.9928e-04 tau_ingredients_1 -2.2296e-04 -0.24853 -0.24610 -0.24477 0.001167 tau_ingredients_2 3.3717e-04 -0.30721 -0.30448 -0.30196 6.4742e-04 tau_ingredients_3 0.001584 -0.29051 -0.28867 -0.28423 -9.0877e-04 tau_ingredients_4 0.001878 -0.24389 -0.24279 -0.23824 -0.001226 tau_patent_1 -0.001375 0.26880 0.26361 0.26335 7.4331e-04 tau_patent_2 -0.001261 0.32288 0.31804 0.31675 1.9431e-04 tau_patent_3 -5.2663e-04 0.34702 0.34417 0.34134 -0.001043 tau_patent_4 -3.712e-05 0.29820 0.29644 0.29349 -0.001348 tau_dominance_1 2.9339e-04 -0.19480 -0.19334 -0.19168 5.9057e-04 tau_dominance_2 4.2630e-04 -0.25535 -0.25303 -0.25107 7.1162e-04 tau_dominance_3 1.4997e-04 -0.23973 -0.23651 -0.23486 1.3510e-04 tau_dominance_4 -1.5239e-04 -0.18973 -0.18684 -0.18563 -1.0122e-04 b_country_DK b_country_IND b_country_RUS b_country_BRA b_char_fast b_brand_Novum -0.047151 -0.033220 -0.037777 -0.006582 0.011677 b_brand_BestValue 0.227962 -0.353632 -0.326557 -0.307494 -0.010371 b_brand_Supermarket 0.237291 -0.366008 -0.337847 -0.364794 0.033546 b_brand_PainAway 0.194660 -0.318078 -0.272451 -0.295855 -0.042349 b_country_CH 0.492877 0.007181 -0.031944 -0.033181 0.076365 b_country_DK 1.000000 0.042713 0.005439 7.0934e-04 0.034334 b_country_IND 0.042713 1.000000 0.442510 0.466264 -0.056072 b_country_RUS 0.005439 0.442510 1.000000 0.424249 -0.063115 b_country_BRA 7.0934e-04 0.466264 0.424249 1.000000 -0.068483 b_char_fast 0.034334 -0.056072 -0.063115 -0.068483 1.000000 b_char_double 0.020844 -0.026480 -0.033710 -0.050764 0.455480 b_risk -0.027768 0.051870 0.060622 0.031766 -0.082236 b_price -0.047657 0.024378 0.044993 0.067245 -0.141114 lambda 0.012104 0.001954 -0.043985 -0.025436 0.065544 gamma_reg_user -4.7823e-04 8.4674e-04 -0.002625 -0.001594 0.001671 gamma_university -0.002603 0.003216 -0.001041 1.9550e-04 0.002037 gamma_age_50 9.9799e-04 -0.005260 0.004157 0.001615 0.001661 zeta_quality -0.002802 0.004943 0.001597 0.004460 -0.002570 zeta_ingredient -5.0852e-04 0.001443 -0.001248 7.0708e-04 0.007675 zeta_patent -0.003853 0.007016 -0.001509 -0.002974 -0.007962 zeta_dominance 0.001974 -0.001221 -0.001450 -0.003605 -8.8925e-04 tau_quality_1 0.001244 -0.003343 -0.001428 -0.003467 0.002890 tau_quality_2 8.7325e-04 -0.002774 -9.8417e-04 -0.003058 0.002295 tau_quality_3 -8.1572e-04 -2.9194e-04 7.2831e-04 2.5650e-04 2.3816e-04 tau_quality_4 -0.001076 5.1993e-04 0.001058 0.001339 -8.810e-05 tau_ingredients_1 1.0395e-04 0.001043 -8.6377e-04 3.5403e-04 6.9914e-04 tau_ingredients_2 2.2542e-04 6.8451e-04 -4.3537e-04 5.3740e-04 -0.001285 tau_ingredients_3 6.7849e-04 -4.0744e-04 8.2005e-04 1.4771e-04 -0.005414 tau_ingredients_4 8.6220e-04 -8.2565e-04 0.001070 -1.1817e-04 -0.006092 tau_patent_1 0.002042 -0.004740 9.4165e-04 0.001969 0.006723 tau_patent_2 0.001299 -0.003703 9.7628e-04 0.001437 0.005621 tau_patent_3 -9.3434e-04 -7.791e-05 7.8449e-04 -1.8462e-04 7.8748e-04 tau_patent_4 -0.001490 0.001029 5.9081e-04 -6.6109e-04 -0.001154 tau_dominance_1 5.7264e-04 5.3025e-04 -7.0972e-04 -5.3466e-04 -7.7131e-04 tau_dominance_2 5.6702e-04 6.9514e-04 -5.7690e-04 7.252e-05 -9.1926e-04 tau_dominance_3 -4.8837e-04 7.1798e-04 5.9017e-04 0.001945 -9.8174e-04 tau_dominance_4 -7.8967e-04 8.3499e-04 8.9296e-04 0.002177 -6.4219e-04 b_char_double b_risk b_price lambda gamma_reg_user b_brand_Novum 0.065561 0.001590 0.066139 -0.012315 0.001443 b_brand_BestValue 0.133869 -0.152894 0.255426 -0.131380 0.247643 b_brand_Supermarket 0.157418 -0.162235 0.231890 -0.120362 0.248783 b_brand_PainAway 0.096493 -0.042159 0.295498 -0.152680 0.240914 b_country_CH 0.088334 -0.064832 -0.121244 0.038027 4.8860e-04 b_country_DK 0.020844 -0.027768 -0.047657 0.012104 -4.7823e-04 b_country_IND -0.026480 0.051870 0.024378 0.001954 8.4674e-04 b_country_RUS -0.033710 0.060622 0.044993 -0.043985 -0.002625 b_country_BRA -0.050764 0.031766 0.067245 -0.025436 -0.001594 b_char_fast 0.455480 -0.082236 -0.141114 0.065544 0.001671 b_char_double 1.000000 -0.050838 -0.173128 0.067546 0.002534 b_risk -0.050838 1.000000 0.118684 -0.053775 -0.001273 b_price -0.173128 0.118684 1.000000 -0.066830 -0.007325 lambda 0.067546 -0.053775 -0.066830 1.000000 0.291508 gamma_reg_user 0.002534 -0.001273 -0.007325 0.291508 1.000000 gamma_university 0.001011 4.9628e-04 -0.004968 0.180924 0.137456 gamma_age_50 -0.002289 -0.002504 0.006218 -0.138479 -0.025328 zeta_quality -0.001254 0.008765 -0.004010 0.150953 0.196757 zeta_ingredient 0.005100 -0.004842 -0.002365 -0.125760 -0.164735 zeta_patent -0.004500 0.006049 -0.002185 0.134285 0.167948 zeta_dominance 0.001997 -0.001429 0.002059 -0.131366 -0.119677 tau_quality_1 0.001363 -0.006118 2.7702e-04 0.048327 0.205199 tau_quality_2 0.001023 -0.004743 3.546e-05 0.049179 0.251828 tau_quality_3 -4.0956e-04 4.9034e-04 -0.001008 0.042890 0.292546 tau_quality_4 -6.6429e-04 0.001885 -0.001327 0.036506 0.243256 tau_ingredients_1 0.001284 -3.8803e-04 -9.771e-06 -0.033556 -0.230635 tau_ingredients_2 -1.8166e-04 8.6109e-04 0.001065 -0.044797 -0.277734 tau_ingredients_3 -0.003313 0.003238 0.003490 -0.059623 -0.253424 tau_ingredients_4 -0.003804 0.003592 0.003876 -0.058695 -0.210660 tau_patent_1 0.003608 -0.004595 -9.0254e-04 0.063855 0.229879 tau_patent_2 0.002696 -0.003696 -7.3612e-04 0.061461 0.277408 tau_patent_3 -5.2643e-04 -1.7276e-04 -6.4998e-04 0.044065 0.308472 tau_patent_4 -0.001611 0.001103 -7.2183e-04 0.034451 0.273272 tau_dominance_1 4.6709e-04 2.1688e-04 5.8580e-04 -0.029318 -0.175651 tau_dominance_2 2.2799e-04 5.4776e-04 5.0263e-04 -0.036373 -0.230389 tau_dominance_3 -0.001276 0.001361 5.4449e-04 -0.037520 -0.222066 tau_dominance_4 -0.001517 0.001354 5.3652e-04 -0.032958 -0.179427 gamma_university gamma_age_50 zeta_quality zeta_ingredient zeta_patent b_brand_Novum -0.002688 -1.9676e-04 -4.2825e-04 -0.002599 0.001700 b_brand_BestValue 0.274974 0.286386 0.037049 -0.029247 0.018704 b_brand_Supermarket 0.273438 0.281304 0.034551 -0.028165 0.023531 b_brand_PainAway 0.271890 0.281964 0.035704 -0.030424 0.018961 b_country_CH 7.6246e-04 -0.002275 9.0988e-04 0.002400 -0.001857 b_country_DK -0.002603 9.9799e-04 -0.002802 -5.0852e-04 -0.003853 b_country_IND 0.003216 -0.005260 0.004943 0.001443 0.007016 b_country_RUS -0.001041 0.004157 0.001597 -0.001248 -0.001509 b_country_BRA 1.9550e-04 0.001615 0.004460 7.0708e-04 -0.002974 b_char_fast 0.002037 0.001661 -0.002570 0.007675 -0.007962 b_char_double 0.001011 -0.002289 -0.001254 0.005100 -0.004500 b_risk 4.9628e-04 -0.002504 0.008765 -0.004842 0.006049 b_price -0.004968 0.006218 -0.004010 -0.002365 -0.002185 lambda 0.180924 -0.138479 0.150953 -0.125760 0.134285 gamma_reg_user 0.137456 -0.025328 0.196757 -0.164735 0.167948 gamma_university 1.000000 -0.030281 0.122359 -0.111662 0.105632 gamma_age_50 -0.030281 1.000000 -0.093127 0.110438 -0.123282 zeta_quality 0.122359 -0.093127 1.000000 -0.107023 0.069409 zeta_ingredient -0.111662 0.110438 -0.107023 1.000000 -0.094399 zeta_patent 0.105632 -0.123282 0.069409 -0.094399 1.000000 zeta_dominance -0.135364 0.051387 -0.065199 0.078013 -0.041005 tau_quality_1 0.244013 0.271749 -0.492916 -0.008642 0.032554 tau_quality_2 0.289229 0.311481 -0.391424 -0.014237 0.033213 tau_quality_3 0.312907 0.309310 0.094543 -0.022656 0.013657 tau_quality_4 0.254156 0.240872 0.221391 -0.019617 0.002153 tau_ingredients_1 -0.245683 -0.233098 -0.030218 0.164820 -0.008124 tau_ingredients_2 -0.299427 -0.300342 -0.033027 0.024321 -0.008905 tau_ingredients_3 -0.280541 -0.308385 -0.026745 -0.381378 -0.011317 tau_ingredients_4 -0.235413 -0.269903 -0.022205 -0.478813 -0.011540 tau_patent_1 0.256977 0.295644 0.051857 -0.020734 -0.526729 tau_patent_2 0.310327 0.341177 0.051787 -0.021517 -0.404929 tau_patent_3 0.339225 0.340223 0.035908 -0.016735 0.050848 tau_patent_4 0.292657 0.282237 0.022964 -0.014113 0.202113 tau_dominance_1 -0.195735 -0.190292 -0.019229 0.011831 -3.1895e-04 tau_dominance_2 -0.248420 -0.250808 -0.028023 0.016929 -0.009649 tau_dominance_3 -0.213422 -0.238731 -0.038524 0.016022 -0.030928 tau_dominance_4 -0.162219 -0.190186 -0.034818 0.012579 -0.030858 zeta_dominance tau_quality_1 tau_quality_2 tau_quality_3 tau_quality_4 b_brand_Novum 6.9394e-04 1.0803e-04 1.5309e-04 -7.080e-05 -2.1709e-04 b_brand_BestValue -0.030445 0.252797 0.299967 0.320483 0.256382 b_brand_Supermarket -0.032833 0.252785 0.299248 0.317573 0.253349 b_brand_PainAway -0.030852 0.248492 0.294951 0.315151 0.251981 b_country_CH 4.1033e-04 -8.0358e-04 -9.6282e-04 -7.4336e-04 -3.9928e-04 b_country_DK 0.001974 0.001244 8.7325e-04 -8.1572e-04 -0.001076 b_country_IND -0.001221 -0.003343 -0.002774 -2.9194e-04 5.1993e-04 b_country_RUS -0.001450 -0.001428 -9.8417e-04 7.2831e-04 0.001058 b_country_BRA -0.003605 -0.003467 -0.003058 2.5650e-04 0.001339 b_char_fast -8.8925e-04 0.002890 0.002295 2.3816e-04 -8.810e-05 b_char_double 0.001997 0.001363 0.001023 -4.0956e-04 -6.6429e-04 b_risk -0.001429 -0.006118 -0.004743 4.9034e-04 0.001885 b_price 0.002059 2.7702e-04 3.546e-05 -0.001008 -0.001327 lambda -0.131366 0.048327 0.049179 0.042890 0.036506 gamma_reg_user -0.119677 0.205199 0.251828 0.292546 0.243256 gamma_university -0.135364 0.244013 0.289229 0.312907 0.254156 gamma_age_50 0.051387 0.271749 0.311481 0.309310 0.240872 zeta_quality -0.065199 -0.492916 -0.391424 0.094543 0.221391 zeta_ingredient 0.078013 -0.008642 -0.014237 -0.022656 -0.019617 zeta_patent -0.041005 0.032554 0.033213 0.013657 0.002153 zeta_dominance 1.000000 -0.039138 -0.042517 -0.034539 -0.024307 tau_quality_1 -0.039138 1.000000 0.813824 0.360304 0.182129 tau_quality_2 -0.042517 0.813824 1.000000 0.485674 0.282938 tau_quality_3 -0.034539 0.360304 0.485674 1.000000 0.680892 tau_quality_4 -0.024307 0.182129 0.282938 0.680892 1.000000 tau_ingredients_1 0.027971 -0.222454 -0.261134 -0.275561 -0.220636 tau_ingredients_2 0.035827 -0.277625 -0.325765 -0.342415 -0.273358 tau_ingredients_3 0.032326 -0.269005 -0.315139 -0.330439 -0.264098 tau_ingredients_4 0.027294 -0.228418 -0.267412 -0.281228 -0.225557 tau_patent_1 -0.054400 0.230159 0.275293 0.307889 0.253487 tau_patent_2 -0.052948 0.281250 0.334517 0.365379 0.297069 tau_patent_3 -0.034066 0.313533 0.368192 0.386868 0.308097 tau_patent_4 -0.020632 0.275236 0.320861 0.331002 0.261503 tau_dominance_1 0.103651 -0.178308 -0.208417 -0.217789 -0.173794 tau_dominance_2 0.001916 -0.230457 -0.270639 -0.285292 -0.228109 tau_dominance_3 -0.408428 -0.206941 -0.246676 -0.269213 -0.218137 tau_dominance_4 -0.462336 -0.161010 -0.192968 -0.214198 -0.174924 tau_ingredients_1 tau_ingredients_2 tau_ingredients_3 tau_ingredients_4 tau_patent_1 b_brand_Novum -2.2296e-04 3.3717e-04 0.001584 0.001878 -0.001375 b_brand_BestValue -0.248531 -0.307211 -0.290510 -0.243889 0.268799 b_brand_Supermarket -0.246098 -0.304485 -0.288674 -0.242789 0.263610 b_brand_PainAway -0.244767 -0.301962 -0.284230 -0.238235 0.263353 b_country_CH 0.001167 6.4742e-04 -9.0877e-04 -0.001226 7.4331e-04 b_country_DK 1.0395e-04 2.2542e-04 6.7849e-04 8.6220e-04 0.002042 b_country_IND 0.001043 6.8451e-04 -4.0744e-04 -8.2565e-04 -0.004740 b_country_RUS -8.6377e-04 -4.3537e-04 8.2005e-04 0.001070 9.4165e-04 b_country_BRA 3.5403e-04 5.3740e-04 1.4771e-04 -1.1817e-04 0.001969 b_char_fast 6.9914e-04 -0.001285 -0.005414 -0.006092 0.006723 b_char_double 0.001284 -1.8166e-04 -0.003313 -0.003804 0.003608 b_risk -3.8803e-04 8.6109e-04 0.003238 0.003592 -0.004595 b_price -9.771e-06 0.001065 0.003490 0.003876 -9.0254e-04 lambda -0.033556 -0.044797 -0.059623 -0.058695 0.063855 gamma_reg_user -0.230635 -0.277734 -0.253424 -0.210660 0.229879 gamma_university -0.245683 -0.299427 -0.280541 -0.235413 0.256977 gamma_age_50 -0.233098 -0.300342 -0.308385 -0.269903 0.295644 zeta_quality -0.030218 -0.033027 -0.026745 -0.022205 0.051857 zeta_ingredient 0.164820 0.024321 -0.381378 -0.478813 -0.020734 zeta_patent -0.008124 -0.008905 -0.011317 -0.011540 -0.526729 zeta_dominance 0.027971 0.035827 0.032326 0.027294 -0.054400 tau_quality_1 -0.222454 -0.277625 -0.269005 -0.228418 0.230159 tau_quality_2 -0.261134 -0.325765 -0.315139 -0.267412 0.275293 tau_quality_3 -0.275561 -0.342415 -0.330439 -0.281228 0.307889 tau_quality_4 -0.220636 -0.273358 -0.264098 -0.225557 0.253487 tau_ingredients_1 1.000000 0.675284 0.320547 0.215234 -0.241041 tau_ingredients_2 0.675284 1.000000 0.531556 0.397380 -0.298185 tau_ingredients_3 0.320547 0.531556 1.000000 0.792773 -0.282978 tau_ingredients_4 0.215234 0.397380 0.792773 1.000000 -0.238103 tau_patent_1 -0.241041 -0.298185 -0.282978 -0.238103 1.000000 tau_patent_2 -0.284033 -0.352901 -0.338044 -0.285581 0.805902 tau_patent_3 -0.297408 -0.371408 -0.361152 -0.308271 0.405914 tau_patent_4 -0.254239 -0.317215 -0.309782 -0.265497 0.232966 tau_dominance_1 0.168668 0.209727 0.203087 0.173338 -0.193343 tau_dominance_2 0.220644 0.273761 0.264270 0.224964 -0.246330 tau_dominance_3 0.207824 0.256622 0.247334 0.209956 -0.216848 tau_dominance_4 0.165534 0.203697 0.196034 0.166329 -0.167985 tau_patent_2 tau_patent_3 tau_patent_4 tau_dominance_1 tau_dominance_2 b_brand_Novum -0.001261 -5.2663e-04 -3.712e-05 2.9339e-04 4.2630e-04 b_brand_BestValue 0.322881 0.347017 0.298197 -0.19480 -0.255351 b_brand_Supermarket 0.318037 0.344170 0.296437 -0.19334 -0.253031 b_brand_PainAway 0.316753 0.341339 0.293491 -0.19168 -0.251067 b_country_CH 1.9431e-04 -0.001043 -0.001348 5.9057e-04 7.1162e-04 b_country_DK 0.001299 -9.3434e-04 -0.001490 5.7264e-04 5.6702e-04 b_country_IND -0.003703 -7.791e-05 0.001029 5.3025e-04 6.9514e-04 b_country_RUS 9.7628e-04 7.8449e-04 5.9081e-04 -7.0972e-04 -5.7690e-04 b_country_BRA 0.001437 -1.8462e-04 -6.6109e-04 -5.3466e-04 7.252e-05 b_char_fast 0.005621 7.8748e-04 -0.001154 -7.7131e-04 -9.1926e-04 b_char_double 0.002696 -5.2643e-04 -0.001611 4.6709e-04 2.2799e-04 b_risk -0.003696 -1.7276e-04 0.001103 2.1688e-04 5.4776e-04 b_price -7.3612e-04 -6.4998e-04 -7.2183e-04 5.8580e-04 5.0263e-04 lambda 0.061461 0.044065 0.034451 -0.02932 -0.036373 gamma_reg_user 0.277408 0.308472 0.273272 -0.17565 -0.230389 gamma_university 0.310327 0.339225 0.292657 -0.19574 -0.248420 gamma_age_50 0.341177 0.340223 0.282237 -0.19029 -0.250808 zeta_quality 0.051787 0.035908 0.022964 -0.01923 -0.028023 zeta_ingredient -0.021517 -0.016735 -0.014113 0.01183 0.016929 zeta_patent -0.404929 0.050848 0.202113 -3.1895e-04 -0.009649 zeta_dominance -0.052948 -0.034066 -0.020632 0.10365 0.001916 tau_quality_1 0.281250 0.313533 0.275236 -0.17831 -0.230457 tau_quality_2 0.334517 0.368192 0.320861 -0.20842 -0.270639 tau_quality_3 0.365379 0.386868 0.331002 -0.21779 -0.285292 tau_quality_4 0.297069 0.308097 0.261503 -0.17379 -0.228109 tau_ingredients_1 -0.284033 -0.297408 -0.254239 0.16867 0.220644 tau_ingredients_2 -0.352901 -0.371408 -0.317215 0.20973 0.273761 tau_ingredients_3 -0.338044 -0.361152 -0.309782 0.20309 0.264270 tau_ingredients_4 -0.285581 -0.308271 -0.265497 0.17334 0.224964 tau_patent_1 0.805902 0.405914 0.232966 -0.19334 -0.246330 tau_patent_2 1.000000 0.552516 0.362193 -0.22694 -0.292256 tau_patent_3 0.552516 1.000000 0.745857 -0.23588 -0.309443 tau_patent_4 0.362193 0.745857 1.000000 -0.20045 -0.264941 tau_dominance_1 -0.226939 -0.235877 -0.200446 1.00000 0.638495 tau_dominance_2 -0.292256 -0.309443 -0.264941 0.63850 1.000000 tau_dominance_3 -0.264109 -0.292688 -0.255769 0.25613 0.444235 tau_dominance_4 -0.206464 -0.232959 -0.205409 0.16458 0.312078 tau_dominance_3 tau_dominance_4 b_brand_Novum 1.4997e-04 -1.5239e-04 b_brand_BestValue -0.239728 -0.189731 b_brand_Supermarket -0.236505 -0.186841 b_brand_PainAway -0.234864 -0.185632 b_country_CH 1.3510e-04 -1.0122e-04 b_country_DK -4.8837e-04 -7.8967e-04 b_country_IND 7.1798e-04 8.3499e-04 b_country_RUS 5.9017e-04 8.9296e-04 b_country_BRA 0.001945 0.002177 b_char_fast -9.8174e-04 -6.4219e-04 b_char_double -0.001276 -0.001517 b_risk 0.001361 0.001354 b_price 5.4449e-04 5.3652e-04 lambda -0.037520 -0.032958 gamma_reg_user -0.222066 -0.179427 gamma_university -0.213422 -0.162219 gamma_age_50 -0.238731 -0.190186 zeta_quality -0.038524 -0.034818 zeta_ingredient 0.016022 0.012579 zeta_patent -0.030928 -0.030858 zeta_dominance -0.408428 -0.462336 tau_quality_1 -0.206941 -0.161010 tau_quality_2 -0.246676 -0.192968 tau_quality_3 -0.269213 -0.214198 tau_quality_4 -0.218137 -0.174924 tau_ingredients_1 0.207824 0.165534 tau_ingredients_2 0.256622 0.203697 tau_ingredients_3 0.247334 0.196034 tau_ingredients_4 0.209956 0.166329 tau_patent_1 -0.216848 -0.167985 tau_patent_2 -0.264109 -0.206464 tau_patent_3 -0.292688 -0.232959 tau_patent_4 -0.255769 -0.205409 tau_dominance_1 0.256125 0.164576 tau_dominance_2 0.444235 0.312078 tau_dominance_3 1.000000 0.740100 tau_dominance_4 0.740100 1.000000 Robust correlation matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_PainAway b_country_CH b_brand_Novum 1.000000 0.186783 0.21452 0.17239 -0.101631 b_brand_BestValue 0.186783 1.000000 0.76840 0.73609 0.170912 b_brand_Supermarket 0.214516 0.768405 1.00000 0.75444 0.186765 b_brand_PainAway 0.172386 0.736088 0.75444 1.00000 0.141759 b_country_CH -0.101631 0.170912 0.18677 0.14176 1.000000 b_country_DK -0.037980 0.147105 0.18829 0.15376 0.470662 b_country_IND -0.032067 -0.386025 -0.37816 -0.32891 -0.024748 b_country_RUS -0.027100 -0.362589 -0.33625 -0.30252 -0.061799 b_country_BRA 0.018605 -0.310145 -0.37103 -0.28053 -0.045791 b_char_fast -0.054847 -0.010081 0.05362 -0.03328 0.103337 b_char_double -0.013495 0.129291 0.14547 0.07372 0.079466 b_risk 0.071913 -0.101937 -0.11861 -0.04075 -0.006794 b_price 0.076683 0.264113 0.23131 0.29440 -0.120931 lambda -0.047692 -0.128565 -0.09388 -0.12364 0.075863 gamma_reg_user -0.001147 0.249211 0.26813 0.26396 -0.004558 gamma_university -0.013307 0.266467 0.25249 0.26400 -0.051145 gamma_age_50 -0.024717 0.324626 0.33144 0.33619 -0.014811 zeta_quality 0.005114 0.048361 0.04448 0.05707 -0.009077 zeta_ingredient -0.016310 0.007704 0.03366 0.04759 0.031040 zeta_patent 0.034957 0.032259 0.04517 0.04874 -0.029828 zeta_dominance -0.034377 -0.068951 -0.07723 -0.05949 -0.019149 tau_quality_1 0.007231 0.248684 0.27159 0.26376 -0.013532 tau_quality_2 -0.013456 0.299577 0.29824 0.29338 -0.040935 tau_quality_3 0.022001 0.323818 0.33603 0.34629 -0.048252 tau_quality_4 0.019999 0.265597 0.26005 0.27260 -0.043481 tau_ingredients_1 -0.019669 -0.240310 -0.24214 -0.24971 0.033678 tau_ingredients_2 -0.018818 -0.325352 -0.32762 -0.30485 0.054025 tau_ingredients_3 8.5361e-04 -0.318968 -0.34634 -0.31918 0.019690 tau_ingredients_4 -0.006755 -0.251572 -0.29198 -0.29024 -0.006518 tau_patent_1 0.002328 0.254253 0.25238 0.23031 -0.013264 tau_patent_2 0.010065 0.320399 0.32010 0.31273 -0.014814 tau_patent_3 -0.035755 0.339419 0.35484 0.34738 0.020597 tau_patent_4 -0.020932 0.322822 0.32961 0.31835 0.018078 tau_dominance_1 -0.006440 -0.249118 -0.28478 -0.23915 -0.023364 tau_dominance_2 -0.007135 -0.273625 -0.31723 -0.28380 -0.008272 tau_dominance_3 -0.007444 -0.273506 -0.28222 -0.29419 -0.008087 tau_dominance_4 0.040321 -0.181790 -0.18532 -0.20082 -8.526e-05 b_country_DK b_country_IND b_country_RUS b_country_BRA b_char_fast b_brand_Novum -0.037980 -0.032067 -0.027100 0.018605 -0.054847 b_brand_BestValue 0.147105 -0.386025 -0.362589 -0.310145 -0.010081 b_brand_Supermarket 0.188286 -0.378163 -0.336247 -0.371027 0.053623 b_brand_PainAway 0.153758 -0.328910 -0.302520 -0.280534 -0.033281 b_country_CH 0.470662 -0.024748 -0.061799 -0.045791 0.103337 b_country_DK 1.000000 0.022924 -0.007205 0.001485 0.006640 b_country_IND 0.022924 1.000000 0.410212 0.515020 -0.086762 b_country_RUS -0.007205 0.410212 1.000000 0.495934 -0.084620 b_country_BRA 0.001485 0.515020 0.495934 1.000000 -0.104016 b_char_fast 0.006640 -0.086762 -0.084620 -0.104016 1.000000 b_char_double -0.015599 -0.038032 -0.047072 -0.060849 0.435667 b_risk 0.046652 0.069663 0.072409 0.032985 -0.092004 b_price -0.059816 0.056664 0.028176 0.055270 -0.148285 lambda 0.027847 0.031998 -0.088940 -0.018196 0.089603 gamma_reg_user 0.001636 0.027379 -0.008605 0.057059 0.022251 gamma_university -0.031954 0.016980 0.009425 0.056478 -0.064713 gamma_age_50 -0.027971 -0.034572 -0.009270 -0.013468 0.076825 zeta_quality -0.023865 0.028450 -0.010015 0.018432 0.011338 zeta_ingredient -0.007362 -0.021667 -0.023326 -0.021342 0.012528 zeta_patent -0.014656 -0.014629 0.012525 0.012110 -0.026434 zeta_dominance -0.009320 0.003149 7.3663e-04 0.012269 -0.001744 tau_quality_1 -0.019563 0.001281 -0.013077 0.029460 0.021180 tau_quality_2 -0.022956 -0.005198 -0.015018 0.020864 0.010191 tau_quality_3 -0.026997 0.011216 -0.023022 0.027464 0.005103 tau_quality_4 -0.021476 -0.013984 -0.011676 0.021305 0.007087 tau_ingredients_1 -0.002373 0.004959 -0.022077 -0.055647 0.027818 tau_ingredients_2 0.050739 0.018416 -0.009621 -0.015518 -0.017957 tau_ingredients_3 0.016079 0.032098 0.015427 0.001602 -0.013715 tau_ingredients_4 0.050633 0.007749 -0.003672 0.005236 -0.017700 tau_patent_1 -0.040349 0.050466 -3.6120e-04 0.060513 0.040627 tau_patent_2 -0.036040 0.029089 5.8862e-04 0.050172 0.049667 tau_patent_3 -0.020083 -0.019929 -0.010266 0.050872 0.011523 tau_patent_4 -0.031784 -0.031677 -0.012680 0.040371 0.003854 tau_dominance_1 -0.021484 0.039596 0.013527 0.007916 -0.035161 tau_dominance_2 0.023999 0.004465 -0.012135 -0.034915 -0.019531 tau_dominance_3 -0.023831 0.011111 0.009591 -0.041505 0.005225 tau_dominance_4 0.001017 -0.017901 -0.025093 -0.039738 -0.019267 b_char_double b_risk b_price lambda gamma_reg_user b_brand_Novum -0.013495 0.071913 0.076683 -0.04769 -0.001147 b_brand_BestValue 0.129291 -0.101937 0.264113 -0.12856 0.249211 b_brand_Supermarket 0.145475 -0.118614 0.231311 -0.09388 0.268129 b_brand_PainAway 0.073724 -0.040751 0.294404 -0.12364 0.263965 b_country_CH 0.079466 -0.006794 -0.120931 0.07586 -0.004558 b_country_DK -0.015599 0.046652 -0.059816 0.02785 0.001636 b_country_IND -0.038032 0.069663 0.056664 0.03200 0.027379 b_country_RUS -0.047072 0.072409 0.028176 -0.08894 -0.008605 b_country_BRA -0.060849 0.032985 0.055270 -0.01820 0.057059 b_char_fast 0.435667 -0.092004 -0.148285 0.08960 0.022251 b_char_double 1.000000 -0.010430 -0.183545 0.05484 0.013747 b_risk -0.010430 1.000000 0.122312 -0.05490 0.031579 b_price -0.183545 0.122312 1.000000 -0.06973 0.004011 lambda 0.054844 -0.054905 -0.069729 1.00000 0.299562 gamma_reg_user 0.013747 0.031579 0.004011 0.29956 1.000000 gamma_university 2.9674e-04 0.029290 -0.018227 0.17873 0.150941 gamma_age_50 0.027078 -0.073440 0.027870 -0.06110 0.061440 zeta_quality -0.016120 0.050711 0.010793 0.11953 0.244152 zeta_ingredient 0.054478 0.022060 0.023769 -0.13823 -0.123014 zeta_patent 0.014548 -0.021921 0.041191 0.10819 0.142347 zeta_dominance -0.004457 -0.003655 0.068580 -0.15135 -0.108682 tau_quality_1 -0.001547 -0.009025 0.026859 0.09315 0.228479 tau_quality_2 -0.013918 0.001474 0.014622 0.08070 0.275657 tau_quality_3 -0.043168 0.023379 0.025682 0.04968 0.322312 tau_quality_4 -0.058721 0.025418 -0.009162 0.02071 0.266685 tau_ingredients_1 0.024333 0.032197 -0.014088 -0.04007 -0.215000 tau_ingredients_2 -0.041329 0.039741 -0.021305 -0.04092 -0.275613 tau_ingredients_3 -0.042541 0.012531 -0.048712 -0.08205 -0.275260 tau_ingredients_4 -0.039506 0.030889 -0.019807 -0.05614 -0.219416 tau_patent_1 0.019476 -0.024163 0.010314 0.09466 0.259462 tau_patent_2 -0.011404 -0.018092 0.004775 0.09103 0.313678 tau_patent_3 -0.032874 -0.001605 -0.002894 0.07456 0.327598 tau_patent_4 -0.026962 -0.023201 -0.003683 0.04135 0.268204 tau_dominance_1 -0.048749 -0.032718 -0.030844 -0.03577 -0.215196 tau_dominance_2 -0.015004 -0.014011 -0.041161 -0.03034 -0.233286 tau_dominance_3 -0.027706 0.021059 -0.054228 -0.04715 -0.260504 tau_dominance_4 -0.047101 -0.015985 -0.034809 -0.01044 -0.219879 gamma_university gamma_age_50 zeta_quality zeta_ingredient zeta_patent b_brand_Novum -0.013307 -0.024717 0.005114 -0.016310 0.034957 b_brand_BestValue 0.266467 0.324626 0.048361 0.007704 0.032259 b_brand_Supermarket 0.252487 0.331437 0.044483 0.033656 0.045174 b_brand_PainAway 0.263999 0.336194 0.057072 0.047587 0.048738 b_country_CH -0.051145 -0.014811 -0.009077 0.031040 -0.029828 b_country_DK -0.031954 -0.027971 -0.023865 -0.007362 -0.014656 b_country_IND 0.016980 -0.034572 0.028450 -0.021667 -0.014629 b_country_RUS 0.009425 -0.009270 -0.010015 -0.023326 0.012525 b_country_BRA 0.056478 -0.013468 0.018432 -0.021342 0.012110 b_char_fast -0.064713 0.076825 0.011338 0.012528 -0.026434 b_char_double 2.9674e-04 0.027078 -0.016120 0.054478 0.014548 b_risk 0.029290 -0.073440 0.050711 0.022060 -0.021921 b_price -0.018227 0.027870 0.010793 0.023769 0.041191 lambda 0.178726 -0.061105 0.119529 -0.138230 0.108187 gamma_reg_user 0.150941 0.061440 0.244152 -0.123014 0.142347 gamma_university 1.000000 -0.003529 0.123803 -0.134336 0.096997 gamma_age_50 -0.003529 1.000000 -0.096309 0.148953 -0.135424 zeta_quality 0.123803 -0.096309 1.000000 -0.174514 0.082357 zeta_ingredient -0.134336 0.148953 -0.174514 1.000000 -0.117143 zeta_patent 0.096997 -0.135424 0.082357 -0.117143 1.000000 zeta_dominance -0.267282 0.028055 -0.056943 0.138327 -0.058321 tau_quality_1 0.279470 0.291729 -0.470928 0.012977 0.051456 tau_quality_2 0.316782 0.320754 -0.371533 -0.003027 0.045289 tau_quality_3 0.306992 0.334015 0.110662 -0.004012 0.041209 tau_quality_4 0.258748 0.228058 0.246776 -0.011686 0.047445 tau_ingredients_1 -0.266241 -0.262286 -0.040678 0.154773 0.030913 tau_ingredients_2 -0.307250 -0.341514 -0.016322 0.012638 0.033678 tau_ingredients_3 -0.273961 -0.340085 8.3354e-04 -0.401388 0.026393 tau_ingredients_4 -0.203558 -0.312448 -0.014299 -0.507537 -0.005927 tau_patent_1 0.253949 0.313349 0.058089 0.001958 -0.534496 tau_patent_2 0.342728 0.363404 0.064395 0.004356 -0.391535 tau_patent_3 0.372755 0.360333 0.037319 0.022442 0.056371 tau_patent_4 0.329699 0.316490 0.042780 0.045546 0.185751 tau_dominance_1 -0.189729 -0.195549 -0.053850 0.007562 -0.060367 tau_dominance_2 -0.265072 -0.304909 -0.019024 0.010836 -0.037305 tau_dominance_3 -0.196124 -0.266957 -0.048197 -0.013748 -0.078692 tau_dominance_4 -0.123131 -0.207614 -0.062034 -0.020008 -0.020276 zeta_dominance tau_quality_1 tau_quality_2 tau_quality_3 tau_quality_4 b_brand_Novum -0.034377 0.007231 -0.013456 0.022001 0.019999 b_brand_BestValue -0.068951 0.248684 0.299577 0.323818 0.265597 b_brand_Supermarket -0.077233 0.271587 0.298237 0.336033 0.260052 b_brand_PainAway -0.059490 0.263755 0.293376 0.346290 0.272605 b_country_CH -0.019149 -0.013532 -0.040935 -0.048252 -0.043481 b_country_DK -0.009320 -0.019563 -0.022956 -0.026997 -0.021476 b_country_IND 0.003149 0.001281 -0.005198 0.011216 -0.013984 b_country_RUS 7.3663e-04 -0.013077 -0.015018 -0.023022 -0.011676 b_country_BRA 0.012269 0.029460 0.020864 0.027464 0.021305 b_char_fast -0.001744 0.021180 0.010191 0.005103 0.007087 b_char_double -0.004457 -0.001547 -0.013918 -0.043168 -0.058721 b_risk -0.003655 -0.009025 0.001474 0.023379 0.025418 b_price 0.068580 0.026859 0.014622 0.025682 -0.009162 lambda -0.151346 0.093150 0.080703 0.049675 0.020710 gamma_reg_user -0.108682 0.228479 0.275657 0.322312 0.266685 gamma_university -0.267282 0.279470 0.316782 0.306992 0.258748 gamma_age_50 0.028055 0.291729 0.320754 0.334015 0.228058 zeta_quality -0.056943 -0.470928 -0.371533 0.110662 0.246776 zeta_ingredient 0.138327 0.012977 -0.003027 -0.004012 -0.011686 zeta_patent -0.058321 0.051456 0.045289 0.041209 0.047445 zeta_dominance 1.000000 -0.081573 -0.093021 -0.091481 -0.072464 tau_quality_1 -0.081573 1.000000 0.820949 0.371850 0.182479 tau_quality_2 -0.093021 0.820949 1.000000 0.491940 0.279767 tau_quality_3 -0.091481 0.371850 0.491940 1.000000 0.681182 tau_quality_4 -0.072464 0.182479 0.279767 0.681182 1.000000 tau_ingredients_1 0.072031 -0.249380 -0.312279 -0.288996 -0.223962 tau_ingredients_2 0.099244 -0.338953 -0.387783 -0.379626 -0.285732 tau_ingredients_3 0.046164 -0.297224 -0.350962 -0.324423 -0.253899 tau_ingredients_4 0.044388 -0.223557 -0.286760 -0.293954 -0.220359 tau_patent_1 -0.081668 0.239281 0.277425 0.258683 0.195872 tau_patent_2 -0.113554 0.320473 0.361283 0.350564 0.269724 tau_patent_3 -0.106974 0.351221 0.416137 0.382284 0.296200 tau_patent_4 -0.127137 0.297907 0.340389 0.334724 0.259863 tau_dominance_1 0.083840 -0.186147 -0.211903 -0.211854 -0.194676 tau_dominance_2 0.043628 -0.254899 -0.288477 -0.315102 -0.231662 tau_dominance_3 -0.365863 -0.233707 -0.255478 -0.250591 -0.183577 tau_dominance_4 -0.420054 -0.165543 -0.217978 -0.203179 -0.161651 tau_ingredients_1 tau_ingredients_2 tau_ingredients_3 tau_ingredients_4 tau_patent_1 b_brand_Novum -0.019669 -0.018818 8.5361e-04 -0.006755 0.002328 b_brand_BestValue -0.240310 -0.325352 -0.318968 -0.251572 0.254253 b_brand_Supermarket -0.242137 -0.327618 -0.346341 -0.291982 0.252382 b_brand_PainAway -0.249705 -0.304852 -0.319184 -0.290243 0.230311 b_country_CH 0.033678 0.054025 0.019690 -0.006518 -0.013264 b_country_DK -0.002373 0.050739 0.016079 0.050633 -0.040349 b_country_IND 0.004959 0.018416 0.032098 0.007749 0.050466 b_country_RUS -0.022077 -0.009621 0.015427 -0.003672 -3.6120e-04 b_country_BRA -0.055647 -0.015518 0.001602 0.005236 0.060513 b_char_fast 0.027818 -0.017957 -0.013715 -0.017700 0.040627 b_char_double 0.024333 -0.041329 -0.042541 -0.039506 0.019476 b_risk 0.032197 0.039741 0.012531 0.030889 -0.024163 b_price -0.014088 -0.021305 -0.048712 -0.019807 0.010314 lambda -0.040066 -0.040922 -0.082050 -0.056135 0.094662 gamma_reg_user -0.215000 -0.275613 -0.275260 -0.219416 0.259462 gamma_university -0.266241 -0.307250 -0.273961 -0.203558 0.253949 gamma_age_50 -0.262286 -0.341514 -0.340085 -0.312448 0.313349 zeta_quality -0.040678 -0.016322 8.3354e-04 -0.014299 0.058089 zeta_ingredient 0.154773 0.012638 -0.401388 -0.507537 0.001958 zeta_patent 0.030913 0.033678 0.026393 -0.005927 -0.534496 zeta_dominance 0.072031 0.099244 0.046164 0.044388 -0.081668 tau_quality_1 -0.249380 -0.338953 -0.297224 -0.223557 0.239281 tau_quality_2 -0.312279 -0.387783 -0.350962 -0.286760 0.277425 tau_quality_3 -0.288996 -0.379626 -0.324423 -0.293954 0.258683 tau_quality_4 -0.223962 -0.285732 -0.253899 -0.220359 0.195872 tau_ingredients_1 1.000000 0.681662 0.322606 0.212009 -0.281695 tau_ingredients_2 0.681662 1.000000 0.532373 0.393446 -0.316456 tau_ingredients_3 0.322606 0.532373 1.000000 0.794052 -0.298996 tau_ingredients_4 0.212009 0.393446 0.794052 1.000000 -0.223093 tau_patent_1 -0.281695 -0.316456 -0.298996 -0.223093 1.000000 tau_patent_2 -0.325471 -0.395972 -0.368615 -0.282585 0.800278 tau_patent_3 -0.324435 -0.389864 -0.384302 -0.334956 0.401104 tau_patent_4 -0.302104 -0.355862 -0.344289 -0.320050 0.245865 tau_dominance_1 0.118253 0.205037 0.230209 0.211809 -0.151359 tau_dominance_2 0.219009 0.302177 0.277234 0.252763 -0.209735 tau_dominance_3 0.232255 0.269483 0.278260 0.218982 -0.191321 tau_dominance_4 0.172940 0.208076 0.205120 0.159709 -0.152233 tau_patent_2 tau_patent_3 tau_patent_4 tau_dominance_1 tau_dominance_2 b_brand_Novum 0.010065 -0.035755 -0.020932 -0.006440 -0.007135 b_brand_BestValue 0.320399 0.339419 0.322822 -0.249118 -0.273625 b_brand_Supermarket 0.320099 0.354838 0.329606 -0.284780 -0.317231 b_brand_PainAway 0.312729 0.347376 0.318348 -0.239151 -0.283803 b_country_CH -0.014814 0.020597 0.018078 -0.023364 -0.008272 b_country_DK -0.036040 -0.020083 -0.031784 -0.021484 0.023999 b_country_IND 0.029089 -0.019929 -0.031677 0.039596 0.004465 b_country_RUS 5.8862e-04 -0.010266 -0.012680 0.013527 -0.012135 b_country_BRA 0.050172 0.050872 0.040371 0.007916 -0.034915 b_char_fast 0.049667 0.011523 0.003854 -0.035161 -0.019531 b_char_double -0.011404 -0.032874 -0.026962 -0.048749 -0.015004 b_risk -0.018092 -0.001605 -0.023201 -0.032718 -0.014011 b_price 0.004775 -0.002894 -0.003683 -0.030844 -0.041161 lambda 0.091029 0.074561 0.041345 -0.035773 -0.030343 gamma_reg_user 0.313678 0.327598 0.268204 -0.215196 -0.233286 gamma_university 0.342728 0.372755 0.329699 -0.189729 -0.265072 gamma_age_50 0.363404 0.360333 0.316490 -0.195549 -0.304909 zeta_quality 0.064395 0.037319 0.042780 -0.053850 -0.019024 zeta_ingredient 0.004356 0.022442 0.045546 0.007562 0.010836 zeta_patent -0.391535 0.056371 0.185751 -0.060367 -0.037305 zeta_dominance -0.113554 -0.106974 -0.127137 0.083840 0.043628 tau_quality_1 0.320473 0.351221 0.297907 -0.186147 -0.254899 tau_quality_2 0.361283 0.416137 0.340389 -0.211903 -0.288477 tau_quality_3 0.350564 0.382284 0.334724 -0.211854 -0.315102 tau_quality_4 0.269724 0.296200 0.259863 -0.194676 -0.231662 tau_ingredients_1 -0.325471 -0.324435 -0.302104 0.118253 0.219009 tau_ingredients_2 -0.395972 -0.389864 -0.355862 0.205037 0.302177 tau_ingredients_3 -0.368615 -0.384302 -0.344289 0.230209 0.277234 tau_ingredients_4 -0.282585 -0.334956 -0.320050 0.211809 0.252763 tau_patent_1 0.800278 0.401104 0.245865 -0.151359 -0.209735 tau_patent_2 1.000000 0.564823 0.392410 -0.208989 -0.277189 tau_patent_3 0.564823 1.000000 0.759510 -0.226308 -0.317447 tau_patent_4 0.392410 0.759510 1.000000 -0.224042 -0.293927 tau_dominance_1 -0.208989 -0.226308 -0.224042 1.000000 0.649775 tau_dominance_2 -0.277189 -0.317447 -0.293927 0.649775 1.000000 tau_dominance_3 -0.254042 -0.301963 -0.242995 0.289340 0.451024 tau_dominance_4 -0.202039 -0.233639 -0.157937 0.197751 0.314185 tau_dominance_3 tau_dominance_4 b_brand_Novum -0.007444 0.040321 b_brand_BestValue -0.273506 -0.181790 b_brand_Supermarket -0.282221 -0.185316 b_brand_PainAway -0.294186 -0.200815 b_country_CH -0.008087 -8.526e-05 b_country_DK -0.023831 0.001017 b_country_IND 0.011111 -0.017901 b_country_RUS 0.009591 -0.025093 b_country_BRA -0.041505 -0.039738 b_char_fast 0.005225 -0.019267 b_char_double -0.027706 -0.047101 b_risk 0.021059 -0.015985 b_price -0.054228 -0.034809 lambda -0.047147 -0.010442 gamma_reg_user -0.260504 -0.219879 gamma_university -0.196124 -0.123131 gamma_age_50 -0.266957 -0.207614 zeta_quality -0.048197 -0.062034 zeta_ingredient -0.013748 -0.020008 zeta_patent -0.078692 -0.020276 zeta_dominance -0.365863 -0.420054 tau_quality_1 -0.233707 -0.165543 tau_quality_2 -0.255478 -0.217978 tau_quality_3 -0.250591 -0.203179 tau_quality_4 -0.183577 -0.161651 tau_ingredients_1 0.232255 0.172940 tau_ingredients_2 0.269483 0.208076 tau_ingredients_3 0.278260 0.205120 tau_ingredients_4 0.218982 0.159709 tau_patent_1 -0.191321 -0.152233 tau_patent_2 -0.254042 -0.202039 tau_patent_3 -0.301963 -0.233639 tau_patent_4 -0.242995 -0.157937 tau_dominance_1 0.289340 0.197751 tau_dominance_2 0.451024 0.314185 tau_dominance_3 1.000000 0.737093 tau_dominance_4 0.737093 1.000000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 695 0.08090184 288 0.08362370 480 0.08475095 875 0.08840977 611 0.08929512 593 0.09197733 92 0.09526744 509 0.09606606 326 0.10043545 51 0.10083285 163 0.10288481 8 0.10368773 204 0.10728358 412 0.10860959 867 0.10896516 544 0.10945418 473 0.10971967 450 0.11062065 508 0.11203306 126 0.11224055 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 -0.774733 -0.774733 b_brand_Supermarket 0.000 -0.461088 -0.461088 b_brand_PainAway 0.000 -1.443328 -1.443328 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 -0.296088 -0.296088 b_country_RUS 0.000 -0.894024 -0.894024 b_country_BRA 0.000 -0.655980 -0.655980 b_char_standard 0.000 0.000000 0.000000 b_char_fast 0.000 0.769140 0.769140 b_char_double 0.000 1.212325 1.212325 b_risk 0.000 -0.001574 -0.001574 b_price 0.000 -0.724024 -0.724024 lambda 1.000 0.640796 -0.359204 gamma_reg_user 0.000 -0.959511 -0.959511 gamma_university 0.000 -0.598421 -0.598421 gamma_age_50 0.000 0.480009 0.480009 zeta_quality 1.000 0.933171 -0.066829 zeta_ingredient 1.000 -0.847631 -1.847631 zeta_patent 1.000 1.048249 0.048249 zeta_dominance 1.000 -0.658037 -1.658037 tau_quality_1 -2.000 -1.917914 0.082086 tau_quality_2 -1.000 -1.016011 -0.016011 tau_quality_3 1.000 1.119695 0.119695 tau_quality_4 2.000 2.246541 0.246541 tau_ingredients_1 -2.000 -2.075101 -0.075101 tau_ingredients_2 -1.000 -0.990108 0.009892 tau_ingredients_3 1.000 0.910095 -0.089905 tau_ingredients_4 2.000 1.856123 -0.143877 tau_patent_1 -2.000 -2.080314 -0.080314 tau_patent_2 -1.000 -1.017773 -0.017773 tau_patent_3 1.000 0.938281 -0.061719 tau_patent_4 2.000 1.875842 -0.124158 tau_dominance_1 -2.000 -2.207254 -0.207254 tau_dominance_2 -1.000 -1.109047 -0.109047 tau_dominance_3 1.000 1.058626 0.058626 tau_dominance_4 2.000 2.111761 0.111761 Settings and functions used in model definition: apollo_control -------------- Value modelName "Hybrid_with_OL" modelDescr "Hybrid choice model on drug choice data, using ordered measurement model for indicators" indivID "ID" nCores "4" outputDirectory "output/" mixing "TRUE" debug "FALSE" workInLogs "FALSE" seed "13" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" calculateLLC "TRUE" panelData "TRUE" analyticGrad "TRUE" analyticGrad_manualSet "FALSE" overridePanel "FALSE" preventOverridePanel "FALSE" noModification "FALSE" Hessian routines attempted -------------------------- numerical jacobian of LL analytical gradient Scaling in estimation --------------------- 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 Scaling used in computing Hessian --------------------------------- Value b_brand_Novum 0.27638665 b_brand_BestValue 0.77473269 b_brand_Supermarket 0.46108845 b_brand_PainAway 1.44332836 b_country_CH 0.66982864 b_country_DK 0.33773886 b_country_IND 0.29608842 b_country_RUS 0.89402448 b_country_BRA 0.65598015 b_char_fast 0.76914024 b_char_double 1.21232536 b_risk 0.00157351 b_price 0.72402368 lambda 0.64079602 gamma_reg_user 0.95951062 gamma_university 0.59842081 gamma_age_50 0.48000943 zeta_quality 0.93317099 zeta_ingredient 0.84763090 zeta_patent 1.04824902 zeta_dominance 0.65803736 tau_quality_1 1.91791414 tau_quality_2 1.01601093 tau_quality_3 1.11969482 tau_quality_4 2.24654079 tau_ingredients_1 2.07510073 tau_ingredients_2 0.99010788 tau_ingredients_3 0.91009489 tau_ingredients_4 1.85612300 tau_patent_1 2.08031351 tau_patent_2 1.01777268 tau_patent_3 0.93828138 tau_patent_4 1.87584199 tau_dominance_1 2.20725438 tau_dominance_2 1.10904675 tau_dominance_3 1.05862605 tau_dominance_4 2.11176116 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, utilities = 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) }