Model run by stephane.hess using Apollo 0.3.6 on R 4.5.1 for Darwin. Please acknowledge the use of Apollo by citing Hess & Palma (2019) DOI 10.1016/j.jocm.2019.100170 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 : 2025-09-19 14:38:56.161415 Estimation method : bgw Estimation diagnosis : Relative function convergence Optimisation diagnosis : Maximum found hessian properties : Negative definite maximum eigenvalue : -12.931624 reciprocal of condition number : 3.69647e-08 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) : -1486.37 LL(0,indic_patent) : -1609.44 LL(final,indic_patent) : -1484.86 LL(0,indic_dominance) : -1609.44 LL(final,indic_dominance) : -1425.68 LL(0,choice) : -13862.94 LL(final,choice) : -10883.72 Estimated parameters : 37 Time taken (hh:mm:ss) : 00:04:45.76 pre-estimation : 00:00:6.98 estimation : 00:00:12.16 post-estimation : 00:04:26.62 Iterations : 12 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 -0.276339 0.03081 -8.969 0.03192 -8.657 b_brand_BestValue -0.774817 0.07636 -10.147 0.07458 -10.390 b_brand_Supermarket -0.461158 0.07730 -5.966 0.07741 -5.957 b_brand_PainAway -1.443384 0.07776 -18.562 0.07613 -18.961 b_country_CH 0.669866 0.03984 16.812 0.03876 17.282 b_country_DK 0.337771 0.03823 8.834 0.03754 8.998 b_country_USA 0.000000 NA NA NA NA b_country_IND -0.296065 0.05731 -5.166 0.05802 -5.103 b_country_RUS -0.893976 0.06170 -14.489 0.06109 -14.633 b_country_BRA -0.655941 0.06020 -10.897 0.06177 -10.619 b_char_standard 0.000000 NA NA NA NA b_char_fast 0.769132 0.02920 26.341 0.02888 26.631 b_char_double 1.212322 0.03775 32.111 0.03658 33.144 b_risk -0.001573 5.832e-05 -26.983 5.940e-05 -26.490 b_price -0.724004 0.01812 -39.962 0.01728 -41.908 lambda 0.640792 0.03215 19.931 0.03174 20.186 gamma_reg_user -0.959593 0.09090 -10.557 0.09264 -10.359 gamma_university -0.598549 0.08511 -7.033 0.08672 -6.902 gamma_age_50 0.479808 0.08452 5.677 0.08495 5.648 zeta_quality 0.933177 0.08265 11.291 0.08386 11.128 zeta_ingredient -0.847612 0.07785 -10.888 0.07920 -10.702 zeta_patent 1.048299 0.08867 11.822 0.08921 11.751 zeta_dominance -0.657902 0.06995 -9.405 0.06914 -9.516 tau_quality_1 -1.918217 0.12102 -15.851 0.12451 -15.407 tau_quality_2 -1.016297 0.10402 -9.770 0.10453 -9.722 tau_quality_3 1.119435 0.10129 11.052 0.10224 10.949 tau_quality_4 2.246267 0.12885 17.433 0.12930 17.372 tau_ingredients_1 -2.074840 0.11958 -17.351 0.12117 -17.123 tau_ingredients_2 -0.989974 0.09552 -10.364 0.09633 -10.276 tau_ingredients_3 0.910158 0.09799 9.288 0.09918 9.177 tau_ingredients_4 1.856192 0.11527 16.103 0.11514 16.121 tau_patent_1 -2.080643 0.13257 -15.695 0.13103 -15.879 tau_patent_2 -1.018095 0.11091 -9.180 0.11143 -9.136 tau_patent_3 0.938054 0.10457 8.971 0.10700 8.767 tau_patent_4 1.875668 0.12192 15.385 0.12422 15.099 tau_dominance_1 -2.207007 0.11849 -18.626 0.11837 -18.645 tau_dominance_2 -1.108867 0.08940 -12.404 0.09122 -12.157 tau_dominance_3 1.058644 0.09163 11.554 0.09166 11.549 tau_dominance_4 2.111749 0.11344 18.616 0.11240 18.787 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_Novum 9.4934e-04 4.7547e-04 5.8521e-04 b_brand_BestValue 4.7547e-04 0.005831 0.004667 b_brand_Supermarket 5.8521e-04 0.004667 0.005975 b_brand_PainAway 5.1090e-04 0.004430 0.004494 b_country_CH -6.642e-05 7.4051e-04 7.2789e-04 b_country_DK -5.554e-05 6.6554e-04 7.0126e-04 b_country_IND -5.865e-05 -0.001547 -0.001621 b_country_RUS -7.181e-05 -0.001539 -0.001611 b_country_BRA -1.221e-05 -0.001413 -0.001697 b_char_fast 1.051e-05 -2.313e-05 7.571e-05 b_char_double 7.627e-05 3.8593e-04 4.5937e-04 b_risk 2.853e-09 -6.808e-07 -7.313e-07 b_price 3.692e-05 3.5337e-04 3.2474e-04 lambda -1.220e-05 -3.2270e-04 -2.9926e-04 gamma_reg_user 4.043e-06 0.001719 0.001748 gamma_university -7.050e-06 0.001787 0.001799 gamma_age_50 -5.132e-07 0.001848 0.001838 zeta_quality -1.091e-06 2.3333e-04 2.2024e-04 zeta_ingredient -6.234e-06 -1.7405e-04 -1.6967e-04 zeta_patent 4.645e-06 1.2637e-04 1.6100e-04 zeta_dominance 1.497e-06 -1.6253e-04 -1.7742e-04 tau_quality_1 4.033e-07 0.002336 0.002364 tau_quality_2 4.909e-07 0.002383 0.002406 tau_quality_3 -2.213e-07 0.002479 0.002486 tau_quality_4 -8.625e-07 0.002522 0.002523 tau_ingredients_1 -8.193e-07 -0.002269 -0.002275 tau_ingredients_2 9.939e-07 -0.002241 -0.002248 tau_ingredients_3 4.782e-06 -0.002173 -0.002186 tau_ingredients_4 6.669e-06 -0.002146 -0.002163 tau_patent_1 -5.619e-06 0.002721 0.002701 tau_patent_2 -4.309e-06 0.002734 0.002726 tau_patent_3 -1.698e-06 0.002771 0.002782 tau_patent_4 -1.406e-07 0.002776 0.002793 tau_dominance_1 1.071e-06 -0.001762 -0.001770 tau_dominance_2 1.174e-06 -0.001743 -0.001748 tau_dominance_3 4.228e-07 -0.001677 -0.001675 tau_dominance_4 -5.332e-07 -0.001643 -0.001638 b_brand_PainAway b_country_CH b_country_DK b_brand_Novum 5.1090e-04 -6.642e-05 -5.554e-05 b_brand_BestValue 0.004430 7.4051e-04 6.6554e-04 b_brand_Supermarket 0.004494 7.2789e-04 7.0126e-04 b_brand_PainAway 0.006047 5.8124e-04 5.7874e-04 b_country_CH 5.8124e-04 0.001588 7.5085e-04 b_country_DK 5.7874e-04 7.5085e-04 0.001462 b_country_IND -0.001417 1.640e-05 9.358e-05 b_country_RUS -0.001307 -7.853e-05 1.283e-05 b_country_BRA -0.001385 -7.958e-05 1.634e-06 b_char_fast -9.616e-05 8.885e-05 3.834e-05 b_char_double 2.8328e-04 1.3289e-04 3.010e-05 b_risk -1.912e-07 -1.506e-07 -6.192e-08 b_price 4.1630e-04 -8.753e-05 -3.301e-05 lambda -3.8186e-04 4.872e-05 1.488e-05 gamma_reg_user 0.001703 1.772e-06 -1.660e-06 gamma_university 0.001799 2.588e-06 -8.467e-06 gamma_age_50 0.001853 -7.660e-06 3.227e-06 zeta_quality 2.2898e-04 2.996e-06 -8.854e-06 zeta_ingredient -1.8436e-04 7.444e-06 -1.513e-06 zeta_patent 1.3046e-04 -6.565e-06 -1.307e-05 zeta_dominance -1.6772e-04 1.142e-06 5.278e-06 tau_quality_1 0.002338 -3.871e-06 5.759e-06 tau_quality_2 0.002386 -3.987e-06 3.477e-06 tau_quality_3 0.002482 -2.998e-06 -3.155e-06 tau_quality_4 0.002525 -2.048e-06 -5.296e-06 tau_ingredients_1 -0.002276 5.556e-06 4.733e-07 tau_ingredients_2 -0.002243 2.460e-06 8.210e-07 tau_ingredients_3 -0.002165 -3.552e-06 2.539e-06 tau_ingredients_4 -0.002135 -5.635e-06 3.797e-06 tau_patent_1 0.002715 3.933e-06 1.035e-05 tau_patent_2 0.002731 8.651e-07 5.514e-06 tau_patent_3 0.002776 -4.341e-06 -3.731e-06 tau_patent_4 0.002782 -6.547e-06 -6.941e-06 tau_dominance_1 -0.001766 2.785e-06 2.590e-06 tau_dominance_2 -0.001745 2.532e-06 1.935e-06 tau_dominance_3 -0.001673 4.920e-07 -1.713e-06 tau_dominance_4 -0.001637 -4.580e-07 -3.426e-06 b_country_IND b_country_RUS b_country_BRA b_brand_Novum -5.865e-05 -7.181e-05 -1.221e-05 b_brand_BestValue -0.001547 -0.001539 -0.001413 b_brand_Supermarket -0.001621 -0.001611 -0.001697 b_brand_PainAway -0.001417 -0.001307 -0.001385 b_country_CH 1.640e-05 -7.853e-05 -7.958e-05 b_country_DK 9.358e-05 1.283e-05 1.634e-06 b_country_IND 0.003284 0.001565 0.001608 b_country_RUS 0.001565 0.003807 0.001576 b_country_BRA 0.001608 0.001576 0.003623 b_char_fast -9.382e-05 -1.1370e-04 -1.2036e-04 b_char_double -5.728e-05 -7.852e-05 -1.1536e-04 b_risk 1.733e-07 2.181e-07 1.115e-07 b_price 2.531e-05 5.029e-05 7.333e-05 lambda 3.601e-06 -8.725e-05 -4.922e-05 gamma_reg_user 4.406e-06 -1.473e-05 -8.724e-06 gamma_university 1.568e-05 -5.472e-06 9.971e-07 gamma_age_50 -2.548e-05 2.167e-05 8.210e-06 zeta_quality 2.341e-05 8.143e-06 2.219e-05 zeta_ingredient 6.438e-06 -5.990e-06 3.315e-06 zeta_patent 3.565e-05 -8.257e-06 -1.587e-05 zeta_dominance -4.893e-06 -6.253e-06 -1.518e-05 tau_quality_1 -2.319e-05 -1.067e-05 -2.526e-05 tau_quality_2 -1.654e-05 -6.325e-06 -1.916e-05 tau_quality_3 -1.703e-06 4.543e-06 1.555e-06 tau_quality_4 3.830e-06 8.405e-06 1.038e-05 tau_ingredients_1 7.153e-06 -6.364e-06 2.553e-06 tau_ingredients_2 3.750e-06 -2.558e-06 3.094e-06 tau_ingredients_3 -2.285e-06 4.964e-06 8.751e-07 tau_ingredients_4 -5.451e-06 7.617e-06 -8.164e-07 tau_patent_1 -3.602e-05 7.693e-06 1.571e-05 tau_patent_2 -2.355e-05 6.673e-06 9.589e-06 tau_patent_3 -4.776e-07 5.055e-06 -1.165e-06 tau_patent_4 7.182e-06 4.439e-06 -4.855e-06 tau_dominance_1 3.604e-06 -5.180e-06 -3.804e-06 tau_dominance_2 3.565e-06 -3.175e-06 3.981e-07 tau_dominance_3 3.773e-06 3.340e-06 1.073e-05 tau_dominance_4 5.431e-06 6.251e-06 1.487e-05 b_char_fast b_char_double b_risk b_brand_Novum 1.051e-05 7.627e-05 2.853e-09 b_brand_BestValue -2.313e-05 3.8593e-04 -6.808e-07 b_brand_Supermarket 7.571e-05 4.5937e-04 -7.313e-07 b_brand_PainAway -9.616e-05 2.8328e-04 -1.912e-07 b_country_CH 8.885e-05 1.3289e-04 -1.506e-07 b_country_DK 3.834e-05 3.010e-05 -6.192e-08 b_country_IND -9.382e-05 -5.728e-05 1.733e-07 b_country_RUS -1.1370e-04 -7.852e-05 2.181e-07 b_country_BRA -1.2036e-04 -1.1536e-04 1.115e-07 b_char_fast 8.5256e-04 5.0210e-04 -1.400e-07 b_char_double 5.0210e-04 0.001425 -1.119e-07 b_risk -1.400e-07 -1.119e-07 3.401e-09 b_price -7.465e-05 -1.1842e-04 1.254e-07 lambda 6.153e-05 8.199e-05 -1.008e-07 gamma_reg_user 4.437e-06 8.700e-06 -6.758e-09 gamma_university 5.066e-06 3.253e-06 2.453e-09 gamma_age_50 4.103e-06 -7.297e-06 -1.235e-08 zeta_quality -6.201e-06 -3.912e-06 4.224e-08 zeta_ingredient 1.744e-05 1.499e-05 -2.198e-08 zeta_patent -2.062e-05 -1.507e-05 3.128e-08 zeta_dominance -1.819e-06 5.270e-06 -5.821e-09 tau_quality_1 1.022e-05 6.233e-06 -4.319e-08 tau_quality_2 6.976e-06 4.025e-06 -2.879e-08 tau_quality_3 7.103e-07 -1.559e-06 2.876e-09 tau_quality_4 -3.255e-07 -3.225e-06 1.414e-08 tau_ingredients_1 2.432e-06 5.787e-06 -2.689e-09 tau_ingredients_2 -3.592e-06 -6.635e-07 4.812e-09 tau_ingredients_3 -1.550e-05 -1.226e-05 1.852e-08 tau_ingredients_4 -2.051e-05 -1.656e-05 2.416e-08 tau_patent_1 2.603e-05 1.807e-05 -3.555e-08 tau_patent_2 1.821e-05 1.130e-05 -2.393e-08 tau_patent_3 2.413e-06 -2.069e-06 -1.072e-09 tau_patent_4 -4.101e-06 -7.410e-06 7.823e-09 tau_dominance_1 -2.672e-06 2.082e-06 1.510e-09 tau_dominance_2 -2.402e-06 7.634e-07 2.865e-09 tau_dominance_3 -2.627e-06 -4.417e-06 7.275e-09 tau_dominance_4 -2.127e-06 -6.496e-06 8.963e-09 b_price lambda gamma_reg_user b_brand_Novum 3.692e-05 -1.220e-05 4.043e-06 b_brand_BestValue 3.5337e-04 -3.2270e-04 0.001719 b_brand_Supermarket 3.2474e-04 -2.9926e-04 0.001748 b_brand_PainAway 4.1630e-04 -3.8186e-04 0.001703 b_country_CH -8.753e-05 4.872e-05 1.772e-06 b_country_DK -3.301e-05 1.488e-05 -1.660e-06 b_country_IND 2.531e-05 3.601e-06 4.406e-06 b_country_RUS 5.029e-05 -8.725e-05 -1.473e-05 b_country_BRA 7.333e-05 -4.922e-05 -8.724e-06 b_char_fast -7.465e-05 6.153e-05 4.437e-06 b_char_double -1.1842e-04 8.199e-05 8.700e-06 b_risk 1.254e-07 -1.008e-07 -6.758e-09 b_price 3.2824e-04 -3.893e-05 -1.206e-05 lambda -3.893e-05 0.001034 8.5194e-04 gamma_reg_user -1.206e-05 8.5194e-04 0.008262 gamma_university -7.662e-06 4.9513e-04 0.001063 gamma_age_50 9.520e-06 -3.7621e-04 -1.9449e-04 zeta_quality -6.004e-06 4.0107e-04 0.001478 zeta_ingredient -3.335e-06 -3.1483e-04 -0.001166 zeta_patent -3.509e-06 3.8279e-04 0.001353 zeta_dominance 2.610e-06 -2.9541e-04 -7.6072e-04 tau_quality_1 6.062e-07 1.8804e-04 0.002257 tau_quality_2 6.590e-08 1.6448e-04 0.002381 tau_quality_3 -1.850e-06 1.3966e-04 0.002693 tau_quality_4 -3.099e-06 1.5121e-04 0.002849 tau_ingredients_1 -1.826e-08 -1.2903e-04 -0.002507 tau_ingredients_2 1.846e-06 -1.3758e-04 -0.002411 tau_ingredients_3 6.197e-06 -1.8780e-04 -0.002257 tau_ingredients_4 8.095e-06 -2.1748e-04 -0.002207 tau_patent_1 -2.170e-06 2.7219e-04 0.002770 tau_patent_2 -1.481e-06 2.1918e-04 0.002796 tau_patent_3 -1.233e-06 1.4815e-04 0.002932 tau_patent_4 -1.595e-06 1.3503e-04 0.003028 tau_dominance_1 1.258e-06 -1.1166e-04 -0.001891 tau_dominance_2 8.148e-07 -1.0452e-04 -0.001872 tau_dominance_3 9.036e-07 -1.1051e-04 -0.001849 tau_dominance_4 1.102e-06 -1.2018e-04 -0.001850 gamma_university gamma_age_50 zeta_quality b_brand_Novum -7.050e-06 -5.132e-07 -1.091e-06 b_brand_BestValue 0.001787 0.001848 2.3333e-04 b_brand_Supermarket 0.001799 0.001838 2.2024e-04 b_brand_PainAway 0.001799 0.001853 2.2898e-04 b_country_CH 2.588e-06 -7.660e-06 2.996e-06 b_country_DK -8.467e-06 3.227e-06 -8.854e-06 b_country_IND 1.568e-05 -2.548e-05 2.341e-05 b_country_RUS -5.472e-06 2.167e-05 8.143e-06 b_country_BRA 9.971e-07 8.210e-06 2.219e-05 b_char_fast 5.066e-06 4.103e-06 -6.201e-06 b_char_double 3.253e-06 -7.297e-06 -3.912e-06 b_risk 2.453e-09 -1.235e-08 4.224e-08 b_price -7.662e-06 9.520e-06 -6.004e-06 lambda 4.9513e-04 -3.7621e-04 4.0107e-04 gamma_reg_user 0.001063 -1.9449e-04 0.001478 gamma_university 0.007243 -2.1778e-04 8.6025e-04 gamma_age_50 -2.1778e-04 0.007144 -6.5086e-04 zeta_quality 8.6025e-04 -6.5086e-04 0.006831 zeta_ingredient -7.4018e-04 7.2636e-04 -6.8863e-04 zeta_patent 7.9699e-04 -9.2415e-04 5.0847e-04 zeta_dominance -8.0578e-04 3.0366e-04 -3.7683e-04 tau_quality_1 0.002513 0.002780 -0.004932 tau_quality_2 0.002560 0.002739 -0.003367 tau_quality_3 0.002697 0.002648 7.8959e-04 tau_quality_4 0.002787 0.002624 0.002356 tau_ingredients_1 -0.002500 -0.002356 -2.9801e-04 tau_ingredients_2 -0.002434 -0.002425 -2.6007e-04 tau_ingredients_3 -0.002339 -0.002554 -2.1590e-04 tau_ingredients_4 -0.002309 -0.002630 -2.1082e-04 tau_patent_1 0.002899 0.003313 5.6751e-04 tau_patent_2 0.002929 0.003198 4.7399e-04 tau_patent_3 0.003019 0.003007 3.0957e-04 tau_patent_4 0.003037 0.002909 2.3058e-04 tau_dominance_1 -0.001973 -0.001906 -1.8781e-04 tau_dominance_2 -0.001890 -0.001895 -2.0654e-04 tau_dominance_3 -0.001664 -0.001849 -2.9121e-04 tau_dominance_4 -0.001566 -0.001823 -3.2591e-04 zeta_ingredient zeta_patent zeta_dominance b_brand_Novum -6.234e-06 4.645e-06 1.497e-06 b_brand_BestValue -1.7405e-04 1.2637e-04 -1.6253e-04 b_brand_Supermarket -1.6967e-04 1.6100e-04 -1.7742e-04 b_brand_PainAway -1.8436e-04 1.3046e-04 -1.6772e-04 b_country_CH 7.444e-06 -6.565e-06 1.142e-06 b_country_DK -1.513e-06 -1.307e-05 5.278e-06 b_country_IND 6.438e-06 3.565e-05 -4.893e-06 b_country_RUS -5.990e-06 -8.257e-06 -6.253e-06 b_country_BRA 3.315e-06 -1.587e-05 -1.518e-05 b_char_fast 1.744e-05 -2.062e-05 -1.819e-06 b_char_double 1.499e-05 -1.507e-05 5.270e-06 b_risk -2.198e-08 3.128e-08 -5.821e-09 b_price -3.335e-06 -3.509e-06 2.610e-06 lambda -3.1483e-04 3.8279e-04 -2.9541e-04 gamma_reg_user -0.001166 0.001353 -7.6072e-04 gamma_university -7.4018e-04 7.9699e-04 -8.0578e-04 gamma_age_50 7.2636e-04 -9.2415e-04 3.0366e-04 zeta_quality -6.8863e-04 5.0847e-04 -3.7683e-04 zeta_ingredient 0.006061 -6.5165e-04 4.2487e-04 zeta_patent -6.5165e-04 0.007863 -2.5425e-04 zeta_dominance 4.2487e-04 -2.5425e-04 0.004894 tau_quality_1 -8.169e-05 3.4905e-04 -3.3119e-04 tau_quality_2 -1.1555e-04 3.0602e-04 -3.0925e-04 tau_quality_3 -1.7890e-04 1.2222e-04 -2.4463e-04 tau_quality_4 -1.9703e-04 2.410e-05 -2.1900e-04 tau_ingredients_1 0.001533 -8.572e-05 2.3392e-04 tau_ingredients_2 1.8007e-04 -7.500e-05 2.3929e-04 tau_ingredients_3 -0.002910 -9.791e-05 2.2140e-04 tau_ingredients_4 -0.004297 -1.1754e-04 2.1987e-04 tau_patent_1 -2.1434e-04 -0.006193 -5.0433e-04 tau_patent_2 -1.8612e-04 -0.003984 -4.1066e-04 tau_patent_3 -1.3654e-04 4.6977e-04 -2.4911e-04 tau_patent_4 -1.3423e-04 0.002184 -1.7588e-04 tau_dominance_1 1.0932e-04 -3.094e-06 8.5771e-04 tau_dominance_2 1.1799e-04 -7.622e-05 1.070e-05 tau_dominance_3 1.1444e-04 -2.5099e-04 -0.002619 tau_dominance_4 1.1123e-04 -3.1010e-04 -0.003669 tau_quality_1 tau_quality_2 tau_quality_3 b_brand_Novum 4.033e-07 4.909e-07 -2.213e-07 b_brand_BestValue 0.002336 0.002383 0.002479 b_brand_Supermarket 0.002364 0.002406 0.002486 b_brand_PainAway 0.002338 0.002386 0.002482 b_country_CH -3.871e-06 -3.987e-06 -2.998e-06 b_country_DK 5.759e-06 3.477e-06 -3.155e-06 b_country_IND -2.319e-05 -1.654e-05 -1.703e-06 b_country_RUS -1.067e-05 -6.325e-06 4.543e-06 b_country_BRA -2.526e-05 -1.916e-05 1.555e-06 b_char_fast 1.022e-05 6.976e-06 7.103e-07 b_char_double 6.233e-06 4.025e-06 -1.559e-06 b_risk -4.319e-08 -2.879e-08 2.876e-09 b_price 6.062e-07 6.590e-08 -1.850e-06 lambda 1.8804e-04 1.6448e-04 1.3966e-04 gamma_reg_user 0.002257 0.002381 0.002693 gamma_university 0.002513 0.002560 0.002697 gamma_age_50 0.002780 0.002739 0.002648 zeta_quality -0.004932 -0.003367 7.8959e-04 zeta_ingredient -8.169e-05 -1.1555e-04 -1.7890e-04 zeta_patent 3.4905e-04 3.0602e-04 1.2222e-04 zeta_dominance -3.3119e-04 -3.0925e-04 -2.4463e-04 tau_quality_1 0.014645 0.010245 0.004417 tau_quality_2 0.010245 0.010820 0.005118 tau_quality_3 0.004417 0.005118 0.010260 tau_quality_4 0.002840 0.003792 0.008886 tau_ingredients_1 -0.003219 -0.003248 -0.003338 tau_ingredients_2 -0.003209 -0.003237 -0.003313 tau_ingredients_3 -0.003190 -0.003212 -0.003279 tau_ingredients_4 -0.003186 -0.003206 -0.003283 tau_patent_1 0.003692 0.003796 0.004134 tau_patent_2 0.003775 0.003859 0.004104 tau_patent_3 0.003968 0.004005 0.004098 tau_patent_4 0.004061 0.004069 0.004088 tau_dominance_1 -0.002556 -0.002568 -0.002613 tau_dominance_2 -0.002493 -0.002516 -0.002583 tau_dominance_3 -0.002294 -0.002351 -0.002498 tau_dominance_4 -0.002210 -0.002277 -0.002461 tau_quality_4 tau_ingredients_1 tau_ingredients_2 b_brand_Novum -8.625e-07 -8.193e-07 9.939e-07 b_brand_BestValue 0.002522 -0.002269 -0.002241 b_brand_Supermarket 0.002523 -0.002275 -0.002248 b_brand_PainAway 0.002525 -0.002276 -0.002243 b_country_CH -2.048e-06 5.556e-06 2.460e-06 b_country_DK -5.296e-06 4.733e-07 8.210e-07 b_country_IND 3.830e-06 7.153e-06 3.750e-06 b_country_RUS 8.405e-06 -6.364e-06 -2.558e-06 b_country_BRA 1.038e-05 2.553e-06 3.094e-06 b_char_fast -3.255e-07 2.432e-06 -3.592e-06 b_char_double -3.225e-06 5.787e-06 -6.635e-07 b_risk 1.414e-08 -2.689e-09 4.812e-09 b_price -3.099e-06 -1.826e-08 1.846e-06 lambda 1.5121e-04 -1.2903e-04 -1.3758e-04 gamma_reg_user 0.002849 -0.002507 -0.002411 gamma_university 0.002787 -0.002500 -0.002434 gamma_age_50 0.002624 -0.002356 -0.002425 zeta_quality 0.002356 -2.9801e-04 -2.6007e-04 zeta_ingredient -1.9703e-04 0.001533 1.8007e-04 zeta_patent 2.410e-05 -8.572e-05 -7.500e-05 zeta_dominance -2.1900e-04 2.3392e-04 2.3929e-04 tau_quality_1 0.002840 -0.003219 -0.003209 tau_quality_2 0.003792 -0.003248 -0.003237 tau_quality_3 0.008886 -0.003338 -0.003313 tau_quality_4 0.016603 -0.003400 -0.003364 tau_ingredients_1 -0.003400 0.014300 0.007714 tau_ingredients_2 -0.003364 0.007714 0.009124 tau_ingredients_3 -0.003334 0.003757 0.004976 tau_ingredients_4 -0.003350 0.002968 0.004376 tau_patent_1 0.004330 -0.003821 -0.003776 tau_patent_2 0.004245 -0.003767 -0.003738 tau_patent_3 0.004151 -0.003719 -0.003710 tau_patent_4 0.004108 -0.003707 -0.003694 tau_dominance_1 -0.002653 0.002390 0.002373 tau_dominance_2 -0.002627 0.002359 0.002337 tau_dominance_3 -0.002575 0.002277 0.002246 tau_dominance_4 -0.002556 0.002245 0.002207 tau_ingredients_3 tau_ingredients_4 tau_patent_1 b_brand_Novum 4.782e-06 6.669e-06 -5.619e-06 b_brand_BestValue -0.002173 -0.002146 0.002721 b_brand_Supermarket -0.002186 -0.002163 0.002701 b_brand_PainAway -0.002165 -0.002135 0.002715 b_country_CH -3.552e-06 -5.635e-06 3.933e-06 b_country_DK 2.539e-06 3.797e-06 1.035e-05 b_country_IND -2.285e-06 -5.451e-06 -3.602e-05 b_country_RUS 4.964e-06 7.617e-06 7.693e-06 b_country_BRA 8.751e-07 -8.164e-07 1.571e-05 b_char_fast -1.550e-05 -2.051e-05 2.603e-05 b_char_double -1.226e-05 -1.656e-05 1.807e-05 b_risk 1.852e-08 2.416e-08 -3.555e-08 b_price 6.197e-06 8.095e-06 -2.170e-06 lambda -1.8780e-04 -2.1748e-04 2.7219e-04 gamma_reg_user -0.002257 -0.002207 0.002770 gamma_university -0.002339 -0.002309 0.002899 gamma_age_50 -0.002554 -0.002630 0.003313 zeta_quality -2.1590e-04 -2.1082e-04 5.6751e-04 zeta_ingredient -0.002910 -0.004297 -2.1434e-04 zeta_patent -9.791e-05 -1.1754e-04 -0.006193 zeta_dominance 2.2140e-04 2.1987e-04 -5.0433e-04 tau_quality_1 -0.003190 -0.003186 0.003692 tau_quality_2 -0.003212 -0.003206 0.003796 tau_quality_3 -0.003279 -0.003283 0.004134 tau_quality_4 -0.003334 -0.003350 0.004330 tau_ingredients_1 0.003757 0.002968 -0.003821 tau_ingredients_2 0.004976 0.004376 -0.003776 tau_ingredients_3 0.009602 0.008955 -0.003675 tau_ingredients_4 0.008955 0.013288 -0.003638 tau_patent_1 -0.003675 -0.003638 0.017574 tau_patent_2 -0.003673 -0.003650 0.011849 tau_patent_3 -0.003700 -0.003715 0.005628 tau_patent_4 -0.003701 -0.003731 0.003765 tau_dominance_1 0.002357 0.002367 -0.003036 tau_dominance_2 0.002314 0.002318 -0.002919 tau_dominance_3 0.002220 0.002217 -0.002633 tau_dominance_4 0.002178 0.002174 -0.002526 tau_patent_2 tau_patent_3 tau_patent_4 b_brand_Novum -4.309e-06 -1.698e-06 -1.406e-07 b_brand_BestValue 0.002734 0.002771 0.002776 b_brand_Supermarket 0.002726 0.002782 0.002793 b_brand_PainAway 0.002731 0.002776 0.002782 b_country_CH 8.651e-07 -4.341e-06 -6.547e-06 b_country_DK 5.514e-06 -3.731e-06 -6.941e-06 b_country_IND -2.355e-05 -4.776e-07 7.182e-06 b_country_RUS 6.673e-06 5.055e-06 4.439e-06 b_country_BRA 9.589e-06 -1.165e-06 -4.855e-06 b_char_fast 1.821e-05 2.413e-06 -4.101e-06 b_char_double 1.130e-05 -2.069e-06 -7.410e-06 b_risk -2.393e-08 -1.072e-09 7.823e-09 b_price -1.481e-06 -1.233e-06 -1.595e-06 lambda 2.1918e-04 1.4815e-04 1.3503e-04 gamma_reg_user 0.002796 0.002932 0.003028 gamma_university 0.002929 0.003019 0.003037 gamma_age_50 0.003198 0.003007 0.002909 zeta_quality 4.7399e-04 3.0957e-04 2.3058e-04 zeta_ingredient -1.8612e-04 -1.3654e-04 -1.3423e-04 zeta_patent -0.003984 4.6977e-04 0.002184 zeta_dominance -4.1066e-04 -2.4911e-04 -1.7588e-04 tau_quality_1 0.003775 0.003968 0.004061 tau_quality_2 0.003859 0.004005 0.004069 tau_quality_3 0.004104 0.004098 0.004088 tau_quality_4 0.004245 0.004151 0.004108 tau_ingredients_1 -0.003767 -0.003719 -0.003707 tau_ingredients_2 -0.003738 -0.003710 -0.003694 tau_ingredients_3 -0.003673 -0.003700 -0.003701 tau_ingredients_4 -0.003650 -0.003715 -0.003731 tau_patent_1 0.011849 0.005628 0.003765 tau_patent_2 0.012300 0.006408 0.004897 tau_patent_3 0.006408 0.010935 0.009508 tau_patent_4 0.004897 0.009508 0.014864 tau_dominance_1 -0.002982 -0.002922 -0.002895 tau_dominance_2 -0.002897 -0.002892 -0.002887 tau_dominance_3 -0.002683 -0.002804 -0.002857 tau_dominance_4 -0.002597 -0.002763 -0.002840 tau_dominance_1 tau_dominance_2 tau_dominance_3 b_brand_Novum 1.071e-06 1.174e-06 4.228e-07 b_brand_BestValue -0.001762 -0.001743 -0.001677 b_brand_Supermarket -0.001770 -0.001748 -0.001675 b_brand_PainAway -0.001766 -0.001745 -0.001673 b_country_CH 2.785e-06 2.532e-06 4.920e-07 b_country_DK 2.590e-06 1.935e-06 -1.713e-06 b_country_IND 3.604e-06 3.565e-06 3.773e-06 b_country_RUS -5.180e-06 -3.175e-06 3.340e-06 b_country_BRA -3.804e-06 3.981e-07 1.073e-05 b_char_fast -2.672e-06 -2.402e-06 -2.627e-06 b_char_double 2.082e-06 7.634e-07 -4.417e-06 b_risk 1.510e-09 2.865e-09 7.275e-09 b_price 1.258e-06 8.148e-07 9.036e-07 lambda -1.1166e-04 -1.0452e-04 -1.1051e-04 gamma_reg_user -0.001891 -0.001872 -0.001849 gamma_university -0.001973 -0.001890 -0.001664 gamma_age_50 -0.001906 -0.001895 -0.001849 zeta_quality -1.8781e-04 -2.0654e-04 -2.9121e-04 zeta_ingredient 1.0932e-04 1.1799e-04 1.1444e-04 zeta_patent -3.094e-06 -7.622e-05 -2.5099e-04 zeta_dominance 8.5771e-04 1.070e-05 -0.002619 tau_quality_1 -0.002556 -0.002493 -0.002294 tau_quality_2 -0.002568 -0.002516 -0.002351 tau_quality_3 -0.002613 -0.002583 -0.002498 tau_quality_4 -0.002653 -0.002627 -0.002575 tau_ingredients_1 0.002390 0.002359 0.002277 tau_ingredients_2 0.002373 0.002337 0.002246 tau_ingredients_3 0.002357 0.002314 0.002220 tau_ingredients_4 0.002367 0.002318 0.002217 tau_patent_1 -0.003036 -0.002919 -0.002633 tau_patent_2 -0.002982 -0.002897 -0.002683 tau_patent_3 -0.002922 -0.002892 -0.002804 tau_patent_4 -0.002895 -0.002887 -0.002857 tau_dominance_1 0.014040 0.006763 0.002781 tau_dominance_2 0.006763 0.007992 0.003639 tau_dominance_3 0.002781 0.003639 0.008395 tau_dominance_4 0.002213 0.003165 0.007693 tau_dominance_4 b_brand_Novum -5.332e-07 b_brand_BestValue -0.001643 b_brand_Supermarket -0.001638 b_brand_PainAway -0.001637 b_country_CH -4.580e-07 b_country_DK -3.426e-06 b_country_IND 5.431e-06 b_country_RUS 6.251e-06 b_country_BRA 1.487e-05 b_char_fast -2.127e-06 b_char_double -6.496e-06 b_risk 8.963e-09 b_price 1.102e-06 lambda -1.2018e-04 gamma_reg_user -0.001850 gamma_university -0.001566 gamma_age_50 -0.001823 zeta_quality -3.2591e-04 zeta_ingredient 1.1123e-04 zeta_patent -3.1010e-04 zeta_dominance -0.003669 tau_quality_1 -0.002210 tau_quality_2 -0.002277 tau_quality_3 -0.002461 tau_quality_4 -0.002556 tau_ingredients_1 0.002245 tau_ingredients_2 0.002207 tau_ingredients_3 0.002178 tau_ingredients_4 0.002174 tau_patent_1 -0.002526 tau_patent_2 -0.002597 tau_patent_3 -0.002763 tau_patent_4 -0.002840 tau_dominance_1 0.002213 tau_dominance_2 0.003165 tau_dominance_3 0.007693 tau_dominance_4 0.012868 Robust covariance matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_Novum 0.001019 4.4467e-04 5.3010e-04 b_brand_BestValue 4.4467e-04 0.005562 0.004436 b_brand_Supermarket 5.3010e-04 0.004436 0.005992 b_brand_PainAway 4.1892e-04 0.004179 0.004446 b_country_CH -1.2574e-04 4.9404e-04 5.6040e-04 b_country_DK -4.551e-05 4.1185e-04 5.4718e-04 b_country_IND -5.939e-05 -0.001670 -0.001699 b_country_RUS -5.285e-05 -0.001652 -0.001590 b_country_BRA 3.668e-05 -0.001429 -0.001774 b_char_fast -5.056e-05 -2.172e-05 1.1989e-04 b_char_double -1.574e-05 3.5268e-04 4.1192e-04 b_risk 1.364e-07 -4.516e-07 -5.454e-07 b_price 4.228e-05 3.4027e-04 3.0934e-04 lambda -4.833e-05 -3.0443e-04 -2.3077e-04 gamma_reg_user -3.416e-06 0.001721 0.001922 gamma_university -3.685e-05 0.001723 0.001695 gamma_age_50 -6.704e-05 0.002057 0.002180 zeta_quality 1.368e-05 3.0169e-04 2.8800e-04 zeta_ingredient -4.122e-05 4.508e-05 2.0591e-04 zeta_patent 9.955e-05 2.1423e-04 3.1155e-04 zeta_dominance -7.586e-05 -3.5538e-04 -4.1321e-04 tau_quality_1 2.872e-05 0.002309 0.002618 tau_quality_2 -4.491e-05 0.002335 0.002413 tau_quality_3 7.179e-05 0.002469 0.002659 tau_quality_4 8.253e-05 0.002561 0.002603 tau_ingredients_1 -7.605e-05 -0.002172 -0.002271 tau_ingredients_2 -5.785e-05 -0.002337 -0.002443 tau_ingredients_3 2.716e-06 -0.002359 -0.002659 tau_ingredients_4 -2.482e-05 -0.002160 -0.002602 tau_patent_1 9.691e-06 0.002484 0.002560 tau_patent_2 3.576e-05 0.002662 0.002761 tau_patent_3 -1.2216e-04 0.002708 0.002939 tau_patent_4 -8.304e-05 0.002990 0.003169 tau_dominance_1 -2.430e-05 -0.002199 -0.002609 tau_dominance_2 -2.075e-05 -0.001861 -0.002240 tau_dominance_3 -2.178e-05 -0.001869 -0.002002 tau_dominance_4 1.4468e-04 -0.001524 -0.001612 b_brand_PainAway b_country_CH b_country_DK b_brand_Novum 4.1892e-04 -1.2574e-04 -4.551e-05 b_brand_BestValue 0.004179 4.9404e-04 4.1185e-04 b_brand_Supermarket 0.004446 5.6040e-04 5.4718e-04 b_brand_PainAway 0.005795 4.1830e-04 4.3942e-04 b_country_CH 4.1830e-04 0.001502 6.8485e-04 b_country_DK 4.3942e-04 6.8485e-04 0.001409 b_country_IND -0.001453 -5.565e-05 4.992e-05 b_country_RUS -0.001407 -1.4633e-04 -1.653e-05 b_country_BRA -0.001319 -1.0962e-04 3.447e-06 b_char_fast -7.317e-05 1.1569e-04 7.211e-06 b_char_double 2.0529e-04 1.1267e-04 -2.140e-05 b_risk -1.843e-07 -1.565e-08 1.040e-07 b_price 3.8717e-04 -8.098e-05 -3.880e-05 lambda -2.9885e-04 9.334e-05 3.319e-05 gamma_reg_user 0.001861 -1.637e-05 5.696e-06 gamma_university 0.001743 -1.7191e-04 -1.0403e-04 gamma_age_50 0.002174 -4.875e-05 -8.918e-05 zeta_quality 3.6356e-04 -2.950e-05 -7.512e-05 zeta_ingredient 2.8649e-04 9.530e-05 -2.187e-05 zeta_patent 3.3059e-04 -1.0314e-04 -4.909e-05 zeta_dominance -3.1297e-04 -5.132e-05 -2.419e-05 tau_quality_1 0.002500 -6.527e-05 -9.140e-05 tau_quality_2 0.002334 -1.6581e-04 -9.004e-05 tau_quality_3 0.002695 -1.9119e-04 -1.0358e-04 tau_quality_4 0.002683 -2.1789e-04 -1.0422e-04 tau_ingredients_1 -0.002304 1.5814e-04 -1.079e-05 tau_ingredients_2 -0.002236 2.0169e-04 1.8348e-04 tau_ingredients_3 -0.002410 7.564e-05 5.985e-05 tau_ingredients_4 -0.002543 -2.914e-05 2.1882e-04 tau_patent_1 0.002297 -6.729e-05 -1.9840e-04 tau_patent_2 0.002653 -6.392e-05 -1.5070e-04 tau_patent_3 0.002829 8.547e-05 -8.063e-05 tau_patent_4 0.003010 8.709e-05 -1.4819e-04 tau_dominance_1 -0.002155 -1.0721e-04 -9.549e-05 tau_dominance_2 -0.001970 -2.926e-05 8.217e-05 tau_dominance_3 -0.002053 -2.875e-05 -8.201e-05 tau_dominance_4 -0.001718 -3.879e-07 4.284e-06 b_country_IND b_country_RUS b_country_BRA b_brand_Novum -5.939e-05 -5.285e-05 3.668e-05 b_brand_BestValue -0.001670 -0.001652 -0.001429 b_brand_Supermarket -0.001699 -0.001590 -0.001774 b_brand_PainAway -0.001453 -0.001407 -0.001319 b_country_CH -5.565e-05 -1.4633e-04 -1.0962e-04 b_country_DK 4.992e-05 -1.653e-05 3.447e-06 b_country_IND 0.003366 0.001454 0.001846 b_country_RUS 0.001454 0.003732 0.001871 b_country_BRA 0.001846 0.001871 0.003815 b_char_fast -1.4538e-04 -1.4930e-04 -1.8554e-04 b_char_double -8.071e-05 -1.0518e-04 -1.3746e-04 b_risk 2.401e-07 2.628e-07 1.210e-07 b_price 5.679e-05 2.973e-05 5.897e-05 lambda 5.894e-05 -1.7247e-04 -3.566e-05 gamma_reg_user 1.4715e-04 -4.868e-05 3.2650e-04 gamma_university 8.542e-05 4.995e-05 3.0252e-04 gamma_age_50 -1.7041e-04 -4.813e-05 -7.069e-05 zeta_quality 1.3839e-04 -5.132e-05 9.544e-05 zeta_ingredient -9.955e-05 -1.1287e-04 -1.0441e-04 zeta_patent -7.575e-05 6.827e-05 6.671e-05 zeta_dominance 1.264e-05 3.139e-06 5.242e-05 tau_quality_1 9.239e-06 -9.944e-05 2.2653e-04 tau_quality_2 -3.155e-05 -9.589e-05 1.3468e-04 tau_quality_3 6.649e-05 -1.4380e-04 1.7341e-04 tau_quality_4 -1.0497e-04 -9.224e-05 1.7012e-04 tau_ingredients_1 3.490e-05 -1.6340e-04 -4.1646e-04 tau_ingredients_2 1.0296e-04 -5.660e-05 -9.231e-05 tau_ingredients_3 1.8473e-04 9.350e-05 9.838e-06 tau_ingredients_4 5.178e-05 -2.581e-05 3.727e-05 tau_patent_1 3.8366e-04 -2.922e-06 4.8969e-04 tau_patent_2 1.8807e-04 3.981e-06 3.4528e-04 tau_patent_3 -1.2373e-04 -6.713e-05 3.3618e-04 tau_patent_4 -2.2834e-04 -9.625e-05 3.0974e-04 tau_dominance_1 2.7196e-04 9.785e-05 5.788e-05 tau_dominance_2 2.364e-05 -6.762e-05 -1.9672e-04 tau_dominance_3 5.911e-05 5.370e-05 -2.3499e-04 tau_dominance_4 -1.1672e-04 -1.7233e-04 -2.7589e-04 b_char_fast b_char_double b_risk b_brand_Novum -5.056e-05 -1.574e-05 1.364e-07 b_brand_BestValue -2.172e-05 3.5268e-04 -4.516e-07 b_brand_Supermarket 1.1989e-04 4.1192e-04 -5.454e-07 b_brand_PainAway -7.317e-05 2.0529e-04 -1.843e-07 b_country_CH 1.1569e-04 1.1267e-04 -1.565e-08 b_country_DK 7.211e-06 -2.140e-05 1.040e-07 b_country_IND -1.4538e-04 -8.071e-05 2.401e-07 b_country_RUS -1.4930e-04 -1.0518e-04 2.628e-07 b_country_BRA -1.8554e-04 -1.3746e-04 1.210e-07 b_char_fast 8.3415e-04 4.6024e-04 -1.578e-07 b_char_double 4.6024e-04 0.001338 -2.266e-08 b_risk -1.578e-07 -2.266e-08 3.528e-09 b_price -7.398e-05 -1.1598e-04 1.255e-07 lambda 8.215e-05 6.368e-05 -1.035e-07 gamma_reg_user 5.954e-05 4.659e-05 1.737e-07 gamma_university -1.6207e-04 9.371e-07 1.508e-07 gamma_age_50 1.8851e-04 8.414e-05 -3.706e-07 zeta_quality 2.746e-05 -4.944e-05 2.526e-07 zeta_ingredient 2.865e-05 1.5781e-04 1.038e-07 zeta_patent -6.813e-05 4.746e-05 -1.161e-07 zeta_dominance -3.497e-06 -1.127e-05 -1.495e-08 tau_quality_1 7.616e-05 -7.046e-06 -6.681e-08 tau_quality_2 3.077e-05 -5.321e-05 9.068e-09 tau_quality_3 1.508e-05 -1.6143e-04 1.419e-07 tau_quality_4 2.648e-05 -2.7773e-04 1.951e-07 tau_ingredients_1 9.733e-05 1.0781e-04 2.318e-07 tau_ingredients_2 -4.997e-05 -1.4565e-04 2.274e-07 tau_ingredients_3 -3.930e-05 -1.5435e-04 7.386e-08 tau_ingredients_4 -5.887e-05 -1.6639e-04 2.113e-07 tau_patent_1 1.5379e-04 9.333e-05 -1.881e-07 tau_patent_2 1.5988e-04 -4.648e-05 -1.198e-07 tau_patent_3 3.563e-05 -1.2867e-04 -1.023e-08 tau_patent_4 1.384e-05 -1.2253e-04 -1.712e-07 tau_dominance_1 -1.2022e-04 -2.1108e-04 -2.300e-07 tau_dominance_2 -5.146e-05 -5.005e-05 -7.588e-08 tau_dominance_3 1.383e-05 -9.289e-05 1.147e-07 tau_dominance_4 -6.255e-05 -1.9365e-04 -1.067e-07 b_price lambda gamma_reg_user b_brand_Novum 4.228e-05 -4.833e-05 -3.416e-06 b_brand_BestValue 3.4027e-04 -3.0443e-04 0.001721 b_brand_Supermarket 3.0934e-04 -2.3077e-04 0.001922 b_brand_PainAway 3.8717e-04 -2.9885e-04 0.001861 b_country_CH -8.098e-05 9.334e-05 -1.637e-05 b_country_DK -3.880e-05 3.319e-05 5.696e-06 b_country_IND 5.679e-05 5.894e-05 1.4715e-04 b_country_RUS 2.973e-05 -1.7247e-04 -4.868e-05 b_country_BRA 5.897e-05 -3.566e-05 3.2650e-04 b_char_fast -7.398e-05 8.215e-05 5.954e-05 b_char_double -1.1598e-04 6.368e-05 4.659e-05 b_risk 1.255e-07 -1.035e-07 1.737e-07 b_price 2.9845e-04 -3.824e-05 6.417e-06 lambda -3.824e-05 0.001008 8.8100e-04 gamma_reg_user 6.417e-06 8.8100e-04 0.008581 gamma_university -2.731e-05 4.9219e-04 0.001212 gamma_age_50 4.089e-05 -1.6450e-04 4.8381e-04 zeta_quality 1.563e-05 3.1808e-04 0.001896 zeta_ingredient 3.252e-05 -3.4762e-04 -9.0311e-04 zeta_patent 6.349e-05 3.0620e-04 0.001176 zeta_dominance 8.191e-05 -3.3220e-04 -6.9565e-04 tau_quality_1 5.776e-05 3.6834e-04 0.002635 tau_quality_2 2.639e-05 2.6796e-04 0.002669 tau_quality_3 4.535e-05 1.6135e-04 0.003052 tau_quality_4 -2.048e-05 8.510e-05 0.003194 tau_ingredients_1 -2.950e-05 -1.5427e-04 -0.002414 tau_ingredients_2 -3.546e-05 -1.2526e-04 -0.002459 tau_ingredients_3 -8.346e-05 -2.5839e-04 -0.002529 tau_ingredients_4 -3.939e-05 -2.0520e-04 -0.002340 tau_patent_1 2.332e-05 3.9398e-04 0.003149 tau_patent_2 9.165e-06 3.2222e-04 0.003238 tau_patent_3 -5.367e-06 2.5341e-04 0.003247 tau_patent_4 -7.917e-06 1.6316e-04 0.003086 tau_dominance_1 -6.309e-05 -1.3446e-04 -0.002359 tau_dominance_2 -6.488e-05 -8.791e-05 -0.001971 tau_dominance_3 -8.588e-05 -1.3722e-04 -0.002212 tau_dominance_4 -6.759e-05 -3.729e-05 -0.002289 gamma_university gamma_age_50 zeta_quality b_brand_Novum -3.685e-05 -6.704e-05 1.368e-05 b_brand_BestValue 0.001723 0.002057 3.0169e-04 b_brand_Supermarket 0.001695 0.002180 2.8800e-04 b_brand_PainAway 0.001743 0.002174 3.6356e-04 b_country_CH -1.7191e-04 -4.875e-05 -2.950e-05 b_country_DK -1.0403e-04 -8.918e-05 -7.512e-05 b_country_IND 8.542e-05 -1.7041e-04 1.3839e-04 b_country_RUS 4.995e-05 -4.813e-05 -5.132e-05 b_country_BRA 3.0252e-04 -7.069e-05 9.544e-05 b_char_fast -1.6207e-04 1.8851e-04 2.746e-05 b_char_double 9.371e-07 8.414e-05 -4.944e-05 b_risk 1.508e-07 -3.706e-07 2.526e-07 b_price -2.731e-05 4.089e-05 1.563e-05 lambda 4.9219e-04 -1.6450e-04 3.1808e-04 gamma_reg_user 0.001212 4.8381e-04 0.001896 gamma_university 0.007521 -2.582e-05 8.9940e-04 gamma_age_50 -2.582e-05 0.007217 -6.8664e-04 zeta_quality 8.9940e-04 -6.8664e-04 0.007032 zeta_ingredient -9.2335e-04 0.001001 -0.001159 zeta_patent 7.4994e-04 -0.001027 6.1560e-04 zeta_dominance -0.001602 1.6440e-04 -3.2996e-04 tau_quality_1 0.003018 0.003086 -0.004919 tau_quality_2 0.002872 0.002849 -0.003259 tau_quality_3 0.002722 0.002902 9.4634e-04 tau_quality_4 0.002901 0.002505 0.002674 tau_ingredients_1 -0.002798 -0.002701 -4.1218e-04 tau_ingredients_2 -0.002567 -0.002795 -1.3068e-04 tau_ingredients_3 -0.002356 -0.002865 8.134e-06 tau_ingredients_4 -0.002032 -0.003056 -1.3683e-04 tau_patent_1 0.002886 0.003488 6.3724e-04 tau_patent_2 0.003312 0.003441 6.0055e-04 tau_patent_3 0.003459 0.003276 3.3352e-04 tau_patent_4 0.003552 0.003340 4.4425e-04 tau_dominance_1 -0.001947 -0.001966 -5.3371e-04 tau_dominance_2 -0.002096 -0.002363 -1.4466e-04 tau_dominance_3 -0.001559 -0.002079 -3.6963e-04 tau_dominance_4 -0.001200 -0.001982 -5.8387e-04 zeta_ingredient zeta_patent zeta_dominance b_brand_Novum -4.122e-05 9.955e-05 -7.586e-05 b_brand_BestValue 4.508e-05 2.1423e-04 -3.5538e-04 b_brand_Supermarket 2.0591e-04 3.1155e-04 -4.1321e-04 b_brand_PainAway 2.8649e-04 3.3059e-04 -3.1297e-04 b_country_CH 9.530e-05 -1.0314e-04 -5.132e-05 b_country_DK -2.187e-05 -4.909e-05 -2.419e-05 b_country_IND -9.955e-05 -7.575e-05 1.264e-05 b_country_RUS -1.1287e-04 6.827e-05 3.139e-06 b_country_BRA -1.0441e-04 6.671e-05 5.242e-05 b_char_fast 2.865e-05 -6.813e-05 -3.497e-06 b_char_double 1.5781e-04 4.746e-05 -1.127e-05 b_risk 1.038e-07 -1.161e-07 -1.495e-08 b_price 3.252e-05 6.349e-05 8.191e-05 lambda -3.4762e-04 3.0620e-04 -3.3220e-04 gamma_reg_user -9.0311e-04 0.001176 -6.9565e-04 gamma_university -9.2335e-04 7.4994e-04 -0.001602 gamma_age_50 0.001001 -0.001027 1.6440e-04 zeta_quality -0.001159 6.1560e-04 -3.2996e-04 zeta_ingredient 0.006272 -8.2747e-04 7.5763e-04 zeta_patent -8.2747e-04 0.007958 -3.5958e-04 zeta_dominance 7.5763e-04 -3.5958e-04 0.004780 tau_quality_1 1.2733e-04 5.7102e-04 -7.0204e-04 tau_quality_2 -2.560e-05 4.2180e-04 -6.7212e-04 tau_quality_3 -3.299e-05 3.7520e-04 -6.4655e-04 tau_quality_4 -1.2018e-04 5.4657e-04 -6.4771e-04 tau_ingredients_1 0.001485 3.3482e-04 6.0338e-04 tau_ingredients_2 9.600e-05 2.9009e-04 6.6082e-04 tau_ingredients_3 -0.003153 2.3415e-04 3.1624e-04 tau_ingredients_4 -0.004628 -6.028e-05 3.5298e-04 tau_patent_1 1.950e-05 -0.006250 -7.3967e-04 tau_patent_2 3.766e-05 -0.003895 -8.7465e-04 tau_patent_3 1.8948e-04 5.3604e-04 -7.9123e-04 tau_patent_4 4.4746e-04 0.002057 -0.001092 tau_dominance_1 7.123e-05 -6.3701e-04 6.8451e-04 tau_dominance_2 7.864e-05 -3.0310e-04 2.7374e-04 tau_dominance_3 -9.945e-05 -6.4303e-04 -0.002319 tau_dominance_4 -1.7779e-04 -2.0286e-04 -0.003265 tau_quality_1 tau_quality_2 tau_quality_3 b_brand_Novum 2.872e-05 -4.491e-05 7.179e-05 b_brand_BestValue 0.002309 0.002335 0.002469 b_brand_Supermarket 0.002618 0.002413 0.002659 b_brand_PainAway 0.002500 0.002334 0.002695 b_country_CH -6.527e-05 -1.6581e-04 -1.9119e-04 b_country_DK -9.140e-05 -9.004e-05 -1.0358e-04 b_country_IND 9.239e-06 -3.155e-05 6.649e-05 b_country_RUS -9.944e-05 -9.589e-05 -1.4380e-04 b_country_BRA 2.2653e-04 1.3468e-04 1.7341e-04 b_char_fast 7.616e-05 3.077e-05 1.508e-05 b_char_double -7.046e-06 -5.321e-05 -1.6143e-04 b_risk -6.681e-08 9.068e-09 1.419e-07 b_price 5.776e-05 2.639e-05 4.535e-05 lambda 3.6834e-04 2.6796e-04 1.6135e-04 gamma_reg_user 0.002635 0.002669 0.003052 gamma_university 0.003018 0.002872 0.002722 gamma_age_50 0.003086 0.002849 0.002902 zeta_quality -0.004919 -0.003259 9.4634e-04 zeta_ingredient 1.2733e-04 -2.560e-05 -3.299e-05 zeta_patent 5.7102e-04 4.2180e-04 3.7520e-04 zeta_dominance -7.0204e-04 -6.7212e-04 -6.4655e-04 tau_quality_1 0.015502 0.010685 0.004735 tau_quality_2 0.010685 0.010927 0.005258 tau_quality_3 0.004735 0.005258 0.010453 tau_quality_4 0.002938 0.003781 0.009005 tau_ingredients_1 -0.003763 -0.003956 -0.003581 tau_ingredients_2 -0.004066 -0.003905 -0.003739 tau_ingredients_3 -0.003670 -0.003638 -0.003290 tau_ingredients_4 -0.003205 -0.003451 -0.003460 tau_patent_1 0.003904 0.003800 0.003466 tau_patent_2 0.004446 0.004208 0.003994 tau_patent_3 0.004679 0.004654 0.004182 tau_patent_4 0.004608 0.004420 0.004251 tau_dominance_1 -0.002743 -0.002622 -0.002564 tau_dominance_2 -0.002895 -0.002750 -0.002938 tau_dominance_3 -0.002667 -0.002448 -0.002348 tau_dominance_4 -0.002317 -0.002561 -0.002335 tau_quality_4 tau_ingredients_1 tau_ingredients_2 b_brand_Novum 8.253e-05 -7.605e-05 -5.785e-05 b_brand_BestValue 0.002561 -0.002172 -0.002337 b_brand_Supermarket 0.002603 -0.002271 -0.002443 b_brand_PainAway 0.002683 -0.002304 -0.002236 b_country_CH -2.1789e-04 1.5814e-04 2.0169e-04 b_country_DK -1.0422e-04 -1.079e-05 1.8348e-04 b_country_IND -1.0497e-04 3.490e-05 1.0296e-04 b_country_RUS -9.224e-05 -1.6340e-04 -5.660e-05 b_country_BRA 1.7012e-04 -4.1646e-04 -9.231e-05 b_char_fast 2.648e-05 9.733e-05 -4.997e-05 b_char_double -2.7773e-04 1.0781e-04 -1.4565e-04 b_risk 1.951e-07 2.318e-07 2.274e-07 b_price -2.048e-05 -2.950e-05 -3.546e-05 lambda 8.510e-05 -1.5427e-04 -1.2526e-04 gamma_reg_user 0.003194 -0.002414 -0.002459 gamma_university 0.002901 -0.002798 -0.002567 gamma_age_50 0.002505 -0.002701 -0.002795 zeta_quality 0.002674 -4.1218e-04 -1.3068e-04 zeta_ingredient -1.2018e-04 0.001485 9.600e-05 zeta_patent 5.4657e-04 3.3482e-04 2.9009e-04 zeta_dominance -6.4771e-04 6.0338e-04 6.6082e-04 tau_quality_1 0.002938 -0.003763 -0.004066 tau_quality_2 0.003781 -0.003956 -0.003905 tau_quality_3 0.009005 -0.003581 -0.003739 tau_quality_4 0.016720 -0.003509 -0.003559 tau_ingredients_1 -0.003509 0.014682 0.007957 tau_ingredients_2 -0.003559 0.007957 0.009280 tau_ingredients_3 -0.003256 0.003878 0.005087 tau_ingredients_4 -0.003280 0.002959 0.004364 tau_patent_1 0.003318 -0.004473 -0.003995 tau_patent_2 0.003886 -0.004395 -0.004251 tau_patent_3 0.004098 -0.004207 -0.004019 tau_patent_4 0.004174 -0.004548 -0.004259 tau_dominance_1 -0.002979 0.001696 0.002338 tau_dominance_2 -0.002732 0.002421 0.002655 tau_dominance_3 -0.002175 0.002580 0.002379 tau_dominance_4 -0.002349 0.002355 0.002253 tau_ingredients_3 tau_ingredients_4 tau_patent_1 b_brand_Novum 2.716e-06 -2.482e-05 9.691e-06 b_brand_BestValue -0.002359 -0.002160 0.002484 b_brand_Supermarket -0.002659 -0.002602 0.002560 b_brand_PainAway -0.002410 -0.002543 0.002297 b_country_CH 7.564e-05 -2.914e-05 -6.729e-05 b_country_DK 5.985e-05 2.1882e-04 -1.9840e-04 b_country_IND 1.8473e-04 5.178e-05 3.8366e-04 b_country_RUS 9.350e-05 -2.581e-05 -2.922e-06 b_country_BRA 9.838e-06 3.727e-05 4.8969e-04 b_char_fast -3.930e-05 -5.887e-05 1.5379e-04 b_char_double -1.5435e-04 -1.6639e-04 9.333e-05 b_risk 7.386e-08 2.113e-07 -1.881e-07 b_price -8.346e-05 -3.939e-05 2.332e-05 lambda -2.5839e-04 -2.0520e-04 3.9398e-04 gamma_reg_user -0.002529 -0.002340 0.003149 gamma_university -0.002356 -0.002032 0.002886 gamma_age_50 -0.002865 -0.003056 0.003488 zeta_quality 8.134e-06 -1.3683e-04 6.3724e-04 zeta_ingredient -0.003153 -0.004628 1.950e-05 zeta_patent 2.3415e-04 -6.028e-05 -0.006250 zeta_dominance 3.1624e-04 3.5298e-04 -7.3967e-04 tau_quality_1 -0.003670 -0.003205 0.003904 tau_quality_2 -0.003638 -0.003451 0.003800 tau_quality_3 -0.003290 -0.003460 0.003466 tau_quality_4 -0.003256 -0.003280 0.003318 tau_ingredients_1 0.003878 0.002959 -0.004473 tau_ingredients_2 0.005087 0.004364 -0.003995 tau_ingredients_3 0.009837 0.009068 -0.003885 tau_ingredients_4 0.009068 0.013257 -0.003365 tau_patent_1 -0.003885 -0.003365 0.017170 tau_patent_2 -0.004074 -0.003625 0.011686 tau_patent_3 -0.004078 -0.004126 0.005624 tau_patent_4 -0.004241 -0.004577 0.004002 tau_dominance_1 0.002702 0.002886 -0.002347 tau_dominance_2 0.002508 0.002654 -0.002506 tau_dominance_3 0.002529 0.002311 -0.002298 tau_dominance_4 0.002286 0.002066 -0.002242 tau_patent_2 tau_patent_3 tau_patent_4 b_brand_Novum 3.576e-05 -1.2216e-04 -8.304e-05 b_brand_BestValue 0.002662 0.002708 0.002990 b_brand_Supermarket 0.002761 0.002939 0.003169 b_brand_PainAway 0.002653 0.002829 0.003010 b_country_CH -6.392e-05 8.547e-05 8.709e-05 b_country_DK -1.5070e-04 -8.063e-05 -1.4819e-04 b_country_IND 1.8807e-04 -1.2373e-04 -2.2834e-04 b_country_RUS 3.981e-06 -6.713e-05 -9.625e-05 b_country_BRA 3.4528e-04 3.3618e-04 3.0974e-04 b_char_fast 1.5988e-04 3.563e-05 1.384e-05 b_char_double -4.648e-05 -1.2867e-04 -1.2253e-04 b_risk -1.198e-07 -1.023e-08 -1.712e-07 b_price 9.165e-06 -5.367e-06 -7.917e-06 lambda 3.2222e-04 2.5341e-04 1.6316e-04 gamma_reg_user 0.003238 0.003247 0.003086 gamma_university 0.003312 0.003459 0.003552 gamma_age_50 0.003441 0.003276 0.003340 zeta_quality 6.0055e-04 3.3352e-04 4.4425e-04 zeta_ingredient 3.766e-05 1.8948e-04 4.4746e-04 zeta_patent -0.003895 5.3604e-04 0.002057 zeta_dominance -8.7465e-04 -7.9123e-04 -0.001092 tau_quality_1 0.004446 0.004679 0.004608 tau_quality_2 0.004208 0.004654 0.004420 tau_quality_3 0.003994 0.004182 0.004251 tau_quality_4 0.003886 0.004098 0.004174 tau_ingredients_1 -0.004395 -0.004207 -0.004548 tau_ingredients_2 -0.004251 -0.004019 -0.004259 tau_ingredients_3 -0.004074 -0.004078 -0.004241 tau_ingredients_4 -0.003625 -0.004126 -0.004577 tau_patent_1 0.011686 0.005624 0.004002 tau_patent_2 0.012418 0.006735 0.005431 tau_patent_3 0.006735 0.011448 0.010095 tau_patent_4 0.005431 0.010095 0.015431 tau_dominance_1 -0.002756 -0.002866 -0.003294 tau_dominance_2 -0.002817 -0.003098 -0.003330 tau_dominance_3 -0.002594 -0.002961 -0.002766 tau_dominance_4 -0.002530 -0.002809 -0.002205 tau_dominance_1 tau_dominance_2 tau_dominance_3 b_brand_Novum -2.430e-05 -2.075e-05 -2.178e-05 b_brand_BestValue -0.002199 -0.001861 -0.001869 b_brand_Supermarket -0.002609 -0.002240 -0.002002 b_brand_PainAway -0.002155 -0.001970 -0.002053 b_country_CH -1.0721e-04 -2.926e-05 -2.875e-05 b_country_DK -9.549e-05 8.217e-05 -8.201e-05 b_country_IND 2.7196e-04 2.364e-05 5.911e-05 b_country_RUS 9.785e-05 -6.762e-05 5.370e-05 b_country_BRA 5.788e-05 -1.9672e-04 -2.3499e-04 b_char_fast -1.2022e-04 -5.146e-05 1.383e-05 b_char_double -2.1108e-04 -5.005e-05 -9.289e-05 b_risk -2.300e-07 -7.588e-08 1.147e-07 b_price -6.309e-05 -6.488e-05 -8.588e-05 lambda -1.3446e-04 -8.791e-05 -1.3722e-04 gamma_reg_user -0.002359 -0.001971 -0.002212 gamma_university -0.001947 -0.002096 -0.001559 gamma_age_50 -0.001966 -0.002363 -0.002079 zeta_quality -5.3371e-04 -1.4466e-04 -3.6963e-04 zeta_ingredient 7.123e-05 7.864e-05 -9.945e-05 zeta_patent -6.3701e-04 -3.0310e-04 -6.4303e-04 zeta_dominance 6.8451e-04 2.7374e-04 -0.002319 tau_quality_1 -0.002743 -0.002895 -0.002667 tau_quality_2 -0.002622 -0.002750 -0.002448 tau_quality_3 -0.002564 -0.002938 -0.002348 tau_quality_4 -0.002979 -0.002732 -0.002175 tau_ingredients_1 0.001696 0.002421 0.002580 tau_ingredients_2 0.002338 0.002655 0.002379 tau_ingredients_3 0.002702 0.002508 0.002529 tau_ingredients_4 0.002886 0.002654 0.002311 tau_patent_1 -0.002347 -0.002506 -0.002298 tau_patent_2 -0.002756 -0.002817 -0.002594 tau_patent_3 -0.002866 -0.003098 -0.002961 tau_patent_4 -0.003294 -0.003330 -0.002766 tau_dominance_1 0.014012 0.007016 0.003140 tau_dominance_2 0.007016 0.008320 0.003772 tau_dominance_3 0.003140 0.003772 0.008402 tau_dominance_4 0.002632 0.003222 0.007594 tau_dominance_4 b_brand_Novum 1.4468e-04 b_brand_BestValue -0.001524 b_brand_Supermarket -0.001612 b_brand_PainAway -0.001718 b_country_CH -3.879e-07 b_country_DK 4.284e-06 b_country_IND -1.1672e-04 b_country_RUS -1.7233e-04 b_country_BRA -2.7589e-04 b_char_fast -6.255e-05 b_char_double -1.9365e-04 b_risk -1.067e-07 b_price -6.759e-05 lambda -3.729e-05 gamma_reg_user -0.002289 gamma_university -0.001200 gamma_age_50 -0.001982 zeta_quality -5.8387e-04 zeta_ingredient -1.7779e-04 zeta_patent -2.0286e-04 zeta_dominance -0.003265 tau_quality_1 -0.002317 tau_quality_2 -0.002561 tau_quality_3 -0.002335 tau_quality_4 -0.002349 tau_ingredients_1 0.002355 tau_ingredients_2 0.002253 tau_ingredients_3 0.002286 tau_ingredients_4 0.002066 tau_patent_1 -0.002242 tau_patent_2 -0.002530 tau_patent_3 -0.002809 tau_patent_4 -0.002205 tau_dominance_1 0.002632 tau_dominance_2 0.003222 tau_dominance_3 0.007594 tau_dominance_4 0.012634 Classical correlation matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_Novum 1.000000 0.20209 0.24573 b_brand_BestValue 0.202092 1.00000 0.79071 b_brand_Supermarket 0.245726 0.79071 1.00000 b_brand_PainAway 0.213241 0.74605 0.74776 b_country_CH -0.054101 0.24339 0.23634 b_country_DK -0.047148 0.22796 0.23729 b_country_IND -0.033220 -0.35363 -0.36601 b_country_RUS -0.037777 -0.32656 -0.33785 b_country_BRA -0.006583 -0.30749 -0.36479 b_char_fast 0.011683 -0.01037 0.03354 b_char_double 0.065568 0.13387 0.15742 b_risk 0.001588 -0.15289 -0.16223 b_price 0.066131 0.25543 0.23189 lambda -0.012312 -0.13144 -0.12042 gamma_reg_user 0.001444 0.24761 0.24875 gamma_university -0.002688 0.27495 0.27341 gamma_age_50 -1.9707e-04 0.28639 0.28131 zeta_quality -4.2856e-04 0.03697 0.03448 zeta_ingredient -0.002599 -0.02928 -0.02820 zeta_patent 0.001700 0.01866 0.02349 zeta_dominance 6.9433e-04 -0.03043 -0.03281 tau_quality_1 1.0816e-04 0.25279 0.25278 tau_quality_2 1.5316e-04 0.29995 0.29923 tau_quality_3 -7.091e-05 0.32047 0.31756 tau_quality_4 -2.1725e-04 0.25637 0.25334 tau_ingredients_1 -2.2236e-04 -0.24854 -0.24610 tau_ingredients_2 3.3771e-04 -0.30719 -0.30447 tau_ingredients_3 0.001584 -0.29047 -0.28863 tau_ingredients_4 0.001878 -0.24384 -0.24274 tau_patent_1 -0.001376 0.26878 0.26359 tau_patent_2 -0.001261 0.32285 0.31801 tau_patent_3 -5.2707e-04 0.34701 0.34416 tau_patent_4 -3.742e-05 0.29819 0.29643 tau_dominance_1 2.9342e-04 -0.19477 -0.19330 tau_dominance_2 4.2626e-04 -0.25530 -0.25298 tau_dominance_3 1.4978e-04 -0.23967 -0.23645 tau_dominance_4 -1.5256e-04 -0.18969 -0.18680 b_brand_PainAway b_country_CH b_country_DK b_brand_Novum 0.21324 -0.054101 -0.047148 b_brand_BestValue 0.74605 0.243387 0.227963 b_brand_Supermarket 0.74776 0.236344 0.237293 b_brand_PainAway 1.00000 0.187598 0.194662 b_country_CH 0.18760 1.000000 0.492881 b_country_DK 0.19466 0.492881 1.000000 b_country_IND -0.31808 0.007181 0.042712 b_country_RUS -0.27245 -0.031943 0.005438 b_country_BRA -0.29586 -0.033179 7.1017e-04 b_char_fast -0.04235 0.076369 0.034339 b_char_double 0.09649 0.088340 0.020850 b_risk -0.04216 -0.064833 -0.027770 b_price 0.29550 -0.121247 -0.047659 lambda -0.15274 0.038029 0.012105 gamma_reg_user 0.24088 4.8929e-04 -4.7758e-04 gamma_university 0.27187 7.6328e-04 -0.002602 gamma_age_50 0.28197 -0.002275 9.9858e-04 zeta_quality 0.03563 9.0975e-04 -0.002802 zeta_ingredient -0.03045 0.002400 -5.0848e-04 zeta_patent 0.01892 -0.001858 -0.003854 zeta_dominance -0.03083 4.0955e-04 0.001973 tau_quality_1 0.24848 -8.0279e-04 0.001245 tau_quality_2 0.29493 -9.6200e-04 8.7438e-04 tau_quality_3 0.31514 -7.4279e-04 -8.1463e-04 tau_quality_4 0.25197 -3.9887e-04 -0.001075 tau_ingredients_1 -0.24477 0.001166 1.0352e-04 tau_ingredients_2 -0.30195 6.4632e-04 2.2481e-04 tau_ingredients_3 -0.28419 -9.0965e-04 6.7779e-04 tau_ingredients_4 -0.23819 -0.001227 8.6157e-04 tau_patent_1 0.26333 7.4467e-04 0.002043 tau_patent_2 0.31672 1.9577e-04 0.001300 tau_patent_3 0.34133 -0.001042 -9.3309e-04 tau_patent_4 0.29348 -0.001348 -0.001489 tau_dominance_1 -0.19164 5.8984e-04 5.7179e-04 tau_dominance_2 -0.25102 7.1080e-04 5.6600e-04 tau_dominance_3 -0.23481 1.3477e-04 -4.8892e-04 tau_dominance_4 -0.18559 -1.0133e-04 -7.8997e-04 b_country_IND b_country_RUS b_country_BRA b_brand_Novum -0.033220 -0.037777 -0.006583 b_brand_BestValue -0.353633 -0.326557 -0.307494 b_brand_Supermarket -0.366009 -0.337848 -0.364794 b_brand_PainAway -0.318080 -0.272453 -0.295857 b_country_CH 0.007181 -0.031943 -0.033179 b_country_DK 0.042712 0.005438 7.1017e-04 b_country_IND 1.000000 0.442516 0.466267 b_country_RUS 0.442516 1.000000 0.424254 b_country_BRA 0.466267 0.424254 1.000000 b_char_fast -0.056069 -0.063113 -0.068479 b_char_double -0.026478 -0.033708 -0.050761 b_risk 0.051866 0.060620 0.031763 b_price 0.024376 0.044990 0.067242 lambda 0.001955 -0.043983 -0.025434 gamma_reg_user 8.4589e-04 -0.002626 -0.001594 gamma_university 0.003215 -0.001042 1.9462e-04 gamma_age_50 -0.005260 0.004156 0.001614 zeta_quality 0.004943 0.001597 0.004460 zeta_ingredient 0.001443 -0.001247 7.0733e-04 zeta_patent 0.007016 -0.001509 -0.002974 zeta_dominance -0.001220 -0.001449 -0.003604 tau_quality_1 -0.003344 -0.001430 -0.003468 tau_quality_2 -0.002776 -9.8557e-04 -0.003059 tau_quality_3 -2.9345e-04 7.2696e-04 2.5495e-04 tau_quality_4 5.1872e-04 0.001057 0.001338 tau_ingredients_1 0.001044 -8.6260e-04 3.5467e-04 tau_ingredients_2 6.8501e-04 -4.3409e-04 5.3813e-04 tau_ingredients_3 -4.0690e-04 8.2099e-04 1.4836e-04 tau_ingredients_4 -8.2521e-04 0.001071 -1.1765e-04 tau_patent_1 -0.004741 9.4054e-04 0.001968 tau_patent_2 -0.003705 9.7511e-04 0.001436 tau_patent_3 -7.971e-05 7.8356e-04 -1.8513e-04 tau_patent_4 0.001028 5.9010e-04 -6.6160e-04 tau_dominance_1 5.3075e-04 -7.0853e-04 -5.3334e-04 tau_dominance_2 6.9579e-04 -5.7556e-04 7.397e-05 tau_dominance_3 7.1859e-04 5.9072e-04 0.001945 tau_dominance_4 8.3540e-04 8.9315e-04 0.002177 b_char_fast b_char_double b_risk b_brand_Novum 0.011683 0.065568 0.001588 b_brand_BestValue -0.010373 0.133868 -0.152890 b_brand_Supermarket 0.033544 0.157417 -0.162233 b_brand_PainAway -0.042350 0.096492 -0.042158 b_country_CH 0.076369 0.088340 -0.064833 b_country_DK 0.034339 0.020850 -0.027770 b_country_IND -0.056069 -0.026478 0.051866 b_country_RUS -0.063113 -0.033708 0.060620 b_country_BRA -0.068479 -0.050761 0.031763 b_char_fast 1.000000 0.455479 -0.082234 b_char_double 0.455479 1.000000 -0.050837 b_risk -0.082234 -0.050837 1.000000 b_price -0.141111 -0.173125 0.118681 lambda 0.065544 0.067546 -0.053774 gamma_reg_user 0.001672 0.002535 -0.001275 gamma_university 0.002039 0.001012 4.9418e-04 gamma_age_50 0.001663 -0.002287 -0.002506 zeta_quality -0.002570 -0.001254 0.008765 zeta_ingredient 0.007674 0.005099 -0.004841 zeta_patent -0.007963 -0.004501 0.006050 zeta_dominance -8.9071e-04 0.001995 -0.001427 tau_quality_1 0.002891 0.001364 -0.006120 tau_quality_2 0.002297 0.001025 -0.004746 tau_quality_3 2.4017e-04 -4.0777e-04 4.8697e-04 tau_quality_4 -8.651e-05 -6.6294e-04 0.001882 tau_ingredients_1 6.9644e-04 0.001282 -3.8554e-04 tau_ingredients_2 -0.001288 -1.8399e-04 8.6381e-04 tau_ingredients_3 -0.005416 -0.003314 0.003240 tau_ingredients_4 -0.006093 -0.003805 0.003594 tau_patent_1 0.006726 0.003611 -0.004598 tau_patent_2 0.005625 0.002699 -0.003700 tau_patent_3 7.9032e-04 -5.2415e-04 -1.7579e-04 tau_patent_4 -0.001152 -0.001610 0.001100 tau_dominance_1 -7.7226e-04 4.6548e-04 2.1849e-04 tau_dominance_2 -9.2033e-04 2.2618e-04 5.4963e-04 tau_dominance_3 -9.8206e-04 -0.001277 0.001362 tau_dominance_4 -6.4225e-04 -0.001517 0.001355 b_price lambda gamma_reg_user b_brand_Novum 0.066131 -0.012312 0.001444 b_brand_BestValue 0.255427 -0.131441 0.247610 b_brand_Supermarket 0.231890 -0.120422 0.248751 b_brand_PainAway 0.295496 -0.152738 0.240881 b_country_CH -0.121247 0.038029 4.8929e-04 b_country_DK -0.047659 0.012105 -4.7758e-04 b_country_IND 0.024376 0.001955 8.4589e-04 b_country_RUS 0.044990 -0.043983 -0.002626 b_country_BRA 0.067242 -0.025434 -0.001594 b_char_fast -0.141111 0.065544 0.001672 b_char_double -0.173125 0.067546 0.002535 b_risk 0.118681 -0.053774 -0.001275 b_price 1.000000 -0.066828 -0.007325 lambda -0.066828 1.000000 0.291519 gamma_reg_user -0.007325 0.291519 1.000000 gamma_university -0.004969 0.180947 0.137449 gamma_age_50 0.006216 -0.138438 -0.025315 zeta_quality -0.004010 0.150936 0.196689 zeta_ingredient -0.002364 -0.125781 -0.164775 zeta_patent -0.002184 0.134264 0.167915 zeta_dominance 0.002060 -0.131345 -0.119638 tau_quality_1 2.7650e-04 0.048330 0.205186 tau_quality_2 3.497e-05 0.049180 0.251800 tau_quality_3 -0.001008 0.042886 0.292516 tau_quality_4 -0.001328 0.036501 0.243229 tau_ingredients_1 -8.429e-06 -0.033562 -0.230629 tau_ingredients_2 0.001067 -0.044797 -0.277706 tau_ingredients_3 0.003491 -0.059611 -0.253372 tau_ingredients_4 0.003876 -0.058680 -0.210606 tau_patent_1 -9.0350e-04 0.063862 0.229853 tau_patent_2 -7.3707e-04 0.061467 0.277370 tau_patent_3 -6.5060e-04 0.044064 0.308448 tau_patent_4 -7.2222e-04 0.034448 0.273252 tau_dominance_1 5.8622e-04 -0.029311 -0.175612 tau_dominance_2 5.0307e-04 -0.036366 -0.230339 tau_dominance_3 5.4434e-04 -0.037513 -0.222018 tau_dominance_4 5.3619e-04 -0.032952 -0.179391 gamma_university gamma_age_50 zeta_quality b_brand_Novum -0.002688 -1.9707e-04 -4.2856e-04 b_brand_BestValue 0.274950 0.286393 0.036972 b_brand_Supermarket 0.273414 0.281311 0.034475 b_brand_PainAway 0.271865 0.281971 0.035629 b_country_CH 7.6328e-04 -0.002275 9.0975e-04 b_country_DK -0.002602 9.9858e-04 -0.002802 b_country_IND 0.003215 -0.005260 0.004943 b_country_RUS -0.001042 0.004156 0.001597 b_country_BRA 1.9462e-04 0.001614 0.004460 b_char_fast 0.002039 0.001663 -0.002570 b_char_double 0.001012 -0.002287 -0.001254 b_risk 4.9418e-04 -0.002506 0.008765 b_price -0.004969 0.006216 -0.004010 lambda 0.180947 -0.138438 0.150936 gamma_reg_user 0.137449 -0.025315 0.196689 gamma_university 1.000000 -0.030273 0.122298 gamma_age_50 -0.030273 1.000000 -0.093168 zeta_quality 0.122298 -0.093168 1.000000 zeta_ingredient -0.111712 0.110383 -0.107025 zeta_patent 0.105604 -0.123299 0.069380 zeta_dominance -0.135340 0.051356 -0.065177 tau_quality_1 0.244004 0.271764 -0.493065 tau_quality_2 0.289208 0.311492 -0.391619 tau_quality_3 0.312891 0.309335 0.094319 tau_quality_4 0.254140 0.240890 0.221225 tau_ingredients_1 -0.245687 -0.233136 -0.030153 tau_ingredients_2 -0.299408 -0.300365 -0.032942 tau_ingredients_3 -0.280493 -0.308377 -0.026658 tau_ingredients_4 -0.235363 -0.269886 -0.022129 tau_patent_1 0.256956 0.295656 0.051797 tau_patent_2 0.310296 0.341188 0.051710 tau_patent_3 0.339214 0.340256 0.035820 tau_patent_4 0.292648 0.282264 0.022883 tau_dominance_1 -0.195690 -0.190279 -0.019178 tau_dominance_2 -0.248363 -0.250786 -0.027954 tau_dominance_3 -0.213371 -0.238692 -0.038455 tau_dominance_4 -0.162180 -0.190152 -0.034762 zeta_ingredient zeta_patent zeta_dominance b_brand_Novum -0.002599 0.001700 6.9433e-04 b_brand_BestValue -0.029278 0.018662 -0.030426 b_brand_Supermarket -0.028196 0.023490 -0.032813 b_brand_PainAway -0.030454 0.018920 -0.030832 b_country_CH 0.002400 -0.001858 4.0955e-04 b_country_DK -5.0848e-04 -0.003854 0.001973 b_country_IND 0.001443 0.007016 -0.001220 b_country_RUS -0.001247 -0.001509 -0.001449 b_country_BRA 7.0733e-04 -0.002974 -0.003604 b_char_fast 0.007674 -0.007963 -8.9071e-04 b_char_double 0.005099 -0.004501 0.001995 b_risk -0.004841 0.006050 -0.001427 b_price -0.002364 -0.002184 0.002060 lambda -0.125781 0.134264 -0.131345 gamma_reg_user -0.164775 0.167915 -0.119638 gamma_university -0.111712 0.105604 -0.135340 gamma_age_50 0.110383 -0.123299 0.051356 zeta_quality -0.107025 0.069380 -0.065177 zeta_ingredient 1.000000 -0.094395 0.078014 zeta_patent -0.094395 1.000000 -0.040987 zeta_dominance 0.078014 -0.040987 1.000000 tau_quality_1 -0.008671 0.032527 -0.039121 tau_quality_2 -0.014269 0.033177 -0.042498 tau_quality_3 -0.022688 0.013608 -0.034525 tau_quality_4 -0.019642 0.002110 -0.024296 tau_ingredients_1 0.164713 -0.008084 0.027963 tau_ingredients_2 0.024214 -0.008855 0.035810 tau_ingredients_3 -0.381444 -0.011267 0.032299 tau_ingredients_4 -0.478866 -0.011499 0.027267 tau_patent_1 -0.020768 -0.526865 -0.054384 tau_patent_2 -0.021556 -0.405115 -0.052931 tau_patent_3 -0.016772 0.050661 -0.034054 tau_patent_4 -0.014142 0.201980 -0.020622 tau_dominance_1 0.011851 -2.9448e-04 0.103479 tau_dominance_2 0.016954 -0.009615 0.001711 tau_dominance_3 0.016043 -0.030891 -0.408530 tau_dominance_4 0.012595 -0.030828 -0.462396 tau_quality_1 tau_quality_2 tau_quality_3 b_brand_Novum 1.0816e-04 1.5316e-04 -7.091e-05 b_brand_BestValue 0.252789 0.299949 0.320469 b_brand_Supermarket 0.252778 0.299230 0.317561 b_brand_PainAway 0.248484 0.294932 0.315138 b_country_CH -8.0279e-04 -9.6200e-04 -7.4279e-04 b_country_DK 0.001245 8.7438e-04 -8.1463e-04 b_country_IND -0.003344 -0.002776 -2.9345e-04 b_country_RUS -0.001430 -9.8557e-04 7.2696e-04 b_country_BRA -0.003468 -0.003059 2.5495e-04 b_char_fast 0.002891 0.002297 2.4017e-04 b_char_double 0.001364 0.001025 -4.0777e-04 b_risk -0.006120 -0.004746 4.8697e-04 b_price 2.7650e-04 3.497e-05 -0.001008 lambda 0.048330 0.049180 0.042886 gamma_reg_user 0.205186 0.251800 0.292516 gamma_university 0.244004 0.289208 0.312891 gamma_age_50 0.271764 0.311492 0.309335 zeta_quality -0.493065 -0.391619 0.094319 zeta_ingredient -0.008671 -0.014269 -0.022688 zeta_patent 0.032527 0.033177 0.013608 zeta_dominance -0.039121 -0.042498 -0.034525 tau_quality_1 1.000000 0.813862 0.360371 tau_quality_2 0.813862 1.000000 0.485707 tau_quality_3 0.360371 0.485707 1.000000 tau_quality_4 0.182163 0.282943 0.680871 tau_ingredients_1 -0.222472 -0.261146 -0.275577 tau_ingredients_2 -0.277628 -0.325756 -0.342411 tau_ingredients_3 -0.268984 -0.315102 -0.330406 tau_ingredients_4 -0.228392 -0.267371 -0.281188 tau_patent_1 0.230149 0.275273 0.307880 tau_patent_2 0.281233 0.334489 0.365362 tau_patent_3 0.313540 0.368188 0.386874 tau_patent_4 0.275246 0.320861 0.331008 tau_dominance_1 -0.178281 -0.208380 -0.217757 tau_dominance_2 -0.230423 -0.270590 -0.285249 tau_dominance_3 -0.206906 -0.246624 -0.269160 tau_dominance_4 -0.160983 -0.192928 -0.214154 tau_quality_4 tau_ingredients_1 tau_ingredients_2 b_brand_Novum -2.1725e-04 -2.2236e-04 3.3771e-04 b_brand_BestValue 0.256368 -0.248536 -0.307195 b_brand_Supermarket 0.253336 -0.246103 -0.304469 b_brand_PainAway 0.251968 -0.244771 -0.301946 b_country_CH -3.9887e-04 0.001166 6.4632e-04 b_country_DK -0.001075 1.0352e-04 2.2481e-04 b_country_IND 5.1872e-04 0.001044 6.8501e-04 b_country_RUS 0.001057 -8.6260e-04 -4.3409e-04 b_country_BRA 0.001338 3.5467e-04 5.3813e-04 b_char_fast -8.651e-05 6.9644e-04 -0.001288 b_char_double -6.6294e-04 0.001282 -1.8399e-04 b_risk 0.001882 -3.8554e-04 8.6381e-04 b_price -0.001328 -8.429e-06 0.001067 lambda 0.036501 -0.033562 -0.044797 gamma_reg_user 0.243229 -0.230629 -0.277706 gamma_university 0.254140 -0.245687 -0.299408 gamma_age_50 0.240890 -0.233136 -0.300365 zeta_quality 0.221225 -0.030153 -0.032942 zeta_ingredient -0.019642 0.164713 0.024214 zeta_patent 0.002110 -0.008084 -0.008855 zeta_dominance -0.024296 0.027963 0.035810 tau_quality_1 0.182163 -0.222472 -0.277628 tau_quality_2 0.282943 -0.261146 -0.325756 tau_quality_3 0.680871 -0.275577 -0.342411 tau_quality_4 1.000000 -0.220646 -0.273352 tau_ingredients_1 -0.220646 1.000000 0.675319 tau_ingredients_2 -0.273352 0.675319 1.000000 tau_ingredients_3 -0.264067 0.320598 0.531588 tau_ingredients_4 -0.225522 0.215286 0.397417 tau_patent_1 0.253479 -0.241052 -0.298177 tau_patent_2 0.297055 -0.284041 -0.352885 tau_patent_3 0.308099 -0.297433 -0.371412 tau_patent_4 0.261504 -0.254260 -0.317218 tau_dominance_1 -0.173767 0.168654 0.209694 tau_dominance_2 -0.228072 0.220624 0.273716 tau_dominance_3 -0.218090 0.207796 0.256571 tau_dominance_4 -0.174885 0.165511 0.203655 tau_ingredients_3 tau_ingredients_4 tau_patent_1 b_brand_Novum 0.001584 0.001878 -0.001376 b_brand_BestValue -0.290466 -0.243842 0.268779 b_brand_Supermarket -0.288632 -0.242743 0.263590 b_brand_PainAway -0.284187 -0.238189 0.263332 b_country_CH -9.0965e-04 -0.001227 7.4467e-04 b_country_DK 6.7779e-04 8.6157e-04 0.002043 b_country_IND -4.0690e-04 -8.2521e-04 -0.004741 b_country_RUS 8.2099e-04 0.001071 9.4054e-04 b_country_BRA 1.4836e-04 -1.1765e-04 0.001968 b_char_fast -0.005416 -0.006093 0.006726 b_char_double -0.003314 -0.003805 0.003611 b_risk 0.003240 0.003594 -0.004598 b_price 0.003491 0.003876 -9.0350e-04 lambda -0.059611 -0.058680 0.063862 gamma_reg_user -0.253372 -0.210606 0.229853 gamma_university -0.280493 -0.235363 0.256956 gamma_age_50 -0.308377 -0.269886 0.295656 zeta_quality -0.026658 -0.022129 0.051797 zeta_ingredient -0.381444 -0.478866 -0.020768 zeta_patent -0.011267 -0.011499 -0.526865 zeta_dominance 0.032299 0.027267 -0.054384 tau_quality_1 -0.268984 -0.228392 0.230149 tau_quality_2 -0.315102 -0.267371 0.275273 tau_quality_3 -0.330406 -0.281188 0.307880 tau_quality_4 -0.264067 -0.225522 0.253479 tau_ingredients_1 0.320598 0.215286 -0.241052 tau_ingredients_2 0.531588 0.397417 -0.298177 tau_ingredients_3 1.000000 0.792778 -0.282941 tau_ingredients_4 0.792778 1.000000 -0.238062 tau_patent_1 -0.282941 -0.238062 1.000000 tau_patent_2 -0.337995 -0.285527 0.805952 tau_patent_3 -0.361122 -0.308234 0.405970 tau_patent_4 -0.309757 -0.265465 0.232984 tau_dominance_1 0.203036 0.173287 -0.193306 tau_dominance_2 0.264202 0.224898 -0.246283 tau_dominance_3 0.247265 0.209891 -0.216799 tau_dominance_4 0.195979 0.166278 -0.167946 tau_patent_2 tau_patent_3 tau_patent_4 b_brand_Novum -0.001261 -5.2707e-04 -3.742e-05 b_brand_BestValue 0.322852 0.347009 0.298190 b_brand_Supermarket 0.318008 0.344162 0.296431 b_brand_PainAway 0.316724 0.341331 0.293484 b_country_CH 1.9577e-04 -0.001042 -0.001348 b_country_DK 0.001300 -9.3309e-04 -0.001489 b_country_IND -0.003705 -7.971e-05 0.001028 b_country_RUS 9.7511e-04 7.8356e-04 5.9010e-04 b_country_BRA 0.001436 -1.8513e-04 -6.6160e-04 b_char_fast 0.005625 7.9032e-04 -0.001152 b_char_double 0.002699 -5.2415e-04 -0.001610 b_risk -0.003700 -1.7579e-04 0.001100 b_price -7.3707e-04 -6.5060e-04 -7.2222e-04 lambda 0.061467 0.044064 0.034448 gamma_reg_user 0.277370 0.308448 0.273252 gamma_university 0.310296 0.339214 0.292648 gamma_age_50 0.341188 0.340256 0.282264 zeta_quality 0.051710 0.035820 0.022883 zeta_ingredient -0.021556 -0.016772 -0.014142 zeta_patent -0.405115 0.050661 0.201980 zeta_dominance -0.052931 -0.034054 -0.020622 tau_quality_1 0.281233 0.313540 0.275246 tau_quality_2 0.334489 0.368188 0.320861 tau_quality_3 0.365362 0.386874 0.331008 tau_quality_4 0.297055 0.308099 0.261504 tau_ingredients_1 -0.284041 -0.297433 -0.254260 tau_ingredients_2 -0.352885 -0.371412 -0.317218 tau_ingredients_3 -0.337995 -0.361122 -0.309757 tau_ingredients_4 -0.285527 -0.308234 -0.265465 tau_patent_1 0.805952 0.405970 0.232984 tau_patent_2 1.000000 0.552531 0.362175 tau_patent_3 0.552531 1.000000 0.745830 tau_patent_4 0.362175 0.745830 1.000000 tau_dominance_1 -0.226894 -0.235847 -0.200422 tau_dominance_2 -0.292197 -0.309401 -0.264907 tau_dominance_3 -0.264045 -0.292635 -0.255723 tau_dominance_4 -0.206412 -0.232915 -0.205370 tau_dominance_1 tau_dominance_2 tau_dominance_3 b_brand_Novum 2.9342e-04 4.2626e-04 1.4978e-04 b_brand_BestValue -0.19477 -0.255303 -0.239674 b_brand_Supermarket -0.19330 -0.252983 -0.236452 b_brand_PainAway -0.19164 -0.251019 -0.234812 b_country_CH 5.8984e-04 7.1080e-04 1.3477e-04 b_country_DK 5.7179e-04 5.6600e-04 -4.8892e-04 b_country_IND 5.3075e-04 6.9579e-04 7.1859e-04 b_country_RUS -7.0853e-04 -5.7556e-04 5.9072e-04 b_country_BRA -5.3334e-04 7.397e-05 0.001945 b_char_fast -7.7226e-04 -9.2033e-04 -9.8206e-04 b_char_double 4.6548e-04 2.2618e-04 -0.001277 b_risk 2.1849e-04 5.4963e-04 0.001362 b_price 5.8622e-04 5.0307e-04 5.4434e-04 lambda -0.02931 -0.036366 -0.037513 gamma_reg_user -0.17561 -0.230339 -0.222018 gamma_university -0.19569 -0.248363 -0.213371 gamma_age_50 -0.19028 -0.250786 -0.238692 zeta_quality -0.01918 -0.027954 -0.038455 zeta_ingredient 0.01185 0.016954 0.016043 zeta_patent -2.9448e-04 -0.009615 -0.030891 zeta_dominance 0.10348 0.001711 -0.408530 tau_quality_1 -0.17828 -0.230423 -0.206906 tau_quality_2 -0.20838 -0.270590 -0.246624 tau_quality_3 -0.21776 -0.285249 -0.269160 tau_quality_4 -0.17377 -0.228072 -0.218090 tau_ingredients_1 0.16865 0.220624 0.207796 tau_ingredients_2 0.20969 0.273716 0.256571 tau_ingredients_3 0.20304 0.264202 0.247265 tau_ingredients_4 0.17329 0.224898 0.209891 tau_patent_1 -0.19331 -0.246283 -0.216799 tau_patent_2 -0.22689 -0.292197 -0.264045 tau_patent_3 -0.23585 -0.309401 -0.292635 tau_patent_4 -0.20042 -0.264907 -0.255723 tau_dominance_1 1.00000 0.638479 0.256161 tau_dominance_2 0.63848 1.000000 0.444284 tau_dominance_3 0.25616 0.444284 1.000000 tau_dominance_4 0.16463 0.312138 0.740104 tau_dominance_4 b_brand_Novum -1.5256e-04 b_brand_BestValue -0.189688 b_brand_Supermarket -0.186799 b_brand_PainAway -0.185590 b_country_CH -1.0133e-04 b_country_DK -7.8997e-04 b_country_IND 8.3540e-04 b_country_RUS 8.9315e-04 b_country_BRA 0.002177 b_char_fast -6.4225e-04 b_char_double -0.001517 b_risk 0.001355 b_price 5.3619e-04 lambda -0.032952 gamma_reg_user -0.179391 gamma_university -0.162180 gamma_age_50 -0.190152 zeta_quality -0.034762 zeta_ingredient 0.012595 zeta_patent -0.030828 zeta_dominance -0.462396 tau_quality_1 -0.160983 tau_quality_2 -0.192928 tau_quality_3 -0.214154 tau_quality_4 -0.174885 tau_ingredients_1 0.165511 tau_ingredients_2 0.203655 tau_ingredients_3 0.195979 tau_ingredients_4 0.166278 tau_patent_1 -0.167946 tau_patent_2 -0.206412 tau_patent_3 -0.232915 tau_patent_4 -0.205370 tau_dominance_1 0.164626 tau_dominance_2 0.312138 tau_dominance_3 0.740104 tau_dominance_4 1.000000 Robust correlation matrix: b_brand_Novum b_brand_BestValue b_brand_Supermarket b_brand_Novum 1.000000 0.186783 0.21452 b_brand_BestValue 0.186783 1.000000 0.76841 b_brand_Supermarket 0.214516 0.768406 1.00000 b_brand_PainAway 0.172385 0.736093 0.75444 b_country_CH -0.101624 0.170915 0.18677 b_country_DK -0.037976 0.147112 0.18829 b_country_IND -0.032067 -0.386035 -0.37817 b_country_RUS -0.027101 -0.362592 -0.33625 b_country_BRA 0.018604 -0.310152 -0.37103 b_char_fast -0.054837 -0.010082 0.05362 b_char_double -0.013480 0.129290 0.14548 b_risk 0.071911 -0.101938 -0.11862 b_price 0.076667 0.264110 0.23131 lambda -0.047690 -0.128593 -0.09391 gamma_reg_user -0.001155 0.249175 0.26809 gamma_university -0.013312 0.266440 0.25246 gamma_age_50 -0.024721 0.324623 0.33144 zeta_quality 0.005112 0.048243 0.04437 zeta_ingredient -0.016305 0.007632 0.03359 zeta_patent 0.034956 0.032202 0.04512 zeta_dominance -0.034374 -0.068927 -0.07721 tau_quality_1 0.007226 0.248688 0.27159 tau_quality_2 -0.013459 0.299562 0.29822 tau_quality_3 0.021996 0.323797 0.33601 tau_quality_4 0.019995 0.265572 0.26003 tau_ingredients_1 -0.019661 -0.240331 -0.24216 tau_ingredients_2 -0.018811 -0.325343 -0.32761 tau_ingredients_3 8.5788e-04 -0.318919 -0.34630 tau_ingredients_4 -0.006752 -0.251511 -0.29192 tau_patent_1 0.002317 0.254229 0.25236 tau_patent_2 0.010052 0.320360 0.32006 tau_patent_3 -0.035766 0.339396 0.35481 tau_patent_4 -0.020940 0.322798 0.32958 tau_dominance_1 -0.006432 -0.249082 -0.28474 tau_dominance_2 -0.007126 -0.273587 -0.31719 tau_dominance_3 -0.007443 -0.273468 -0.28218 tau_dominance_4 0.040321 -0.181761 -0.18529 b_brand_PainAway b_country_CH b_country_DK b_brand_Novum 0.17239 -0.101624 -0.037976 b_brand_BestValue 0.73609 0.170915 0.147112 b_brand_Supermarket 0.75444 0.186771 0.188294 b_brand_PainAway 1.00000 0.141765 0.153766 b_country_CH 0.14176 1.000000 0.470671 b_country_DK 0.15377 0.470671 1.000000 b_country_IND -0.32892 -0.024747 0.022921 b_country_RUS -0.30253 -0.061796 -0.007207 b_country_BRA -0.28055 -0.045787 0.001486 b_char_fast -0.03328 0.103343 0.006651 b_char_double 0.07373 0.079473 -0.015588 b_risk -0.04076 -0.006796 0.046648 b_price 0.29440 -0.120938 -0.059821 lambda -0.12367 0.075863 0.027849 gamma_reg_user 0.26393 -0.004558 0.001638 gamma_university 0.26397 -0.051141 -0.031954 gamma_age_50 0.33619 -0.014804 -0.027964 zeta_quality 0.05695 -0.009076 -0.023864 zeta_ingredient 0.04752 0.031046 -0.007356 zeta_patent 0.04868 -0.029830 -0.014660 zeta_dominance -0.05946 -0.019152 -0.009322 tau_quality_1 0.26376 -0.013524 -0.019555 tau_quality_2 0.29336 -0.040922 -0.022946 tau_quality_3 0.34627 -0.048244 -0.026988 tau_quality_4 0.27258 -0.043475 -0.021470 tau_ingredients_1 -0.24973 0.033670 -0.002372 tau_ingredients_2 -0.30485 0.054014 0.050735 tau_ingredients_3 -0.31914 0.019677 0.016074 tau_ingredients_4 -0.29019 -0.006531 0.050627 tau_patent_1 0.23029 -0.013250 -0.040334 tau_patent_2 0.31269 -0.014798 -0.036026 tau_patent_3 0.34735 0.020610 -0.020075 tau_patent_4 0.31832 0.018088 -0.031779 tau_dominance_1 -0.23911 -0.023367 -0.021489 tau_dominance_2 -0.28376 -0.008276 0.023996 tau_dominance_3 -0.29415 -0.008092 -0.023834 tau_dominance_4 -0.20079 -8.904e-05 0.001015 b_country_IND b_country_RUS b_country_BRA b_brand_Novum -0.032067 -0.027101 0.018604 b_brand_BestValue -0.386035 -0.362592 -0.310152 b_brand_Supermarket -0.378174 -0.336253 -0.371034 b_brand_PainAway -0.328923 -0.302529 -0.280546 b_country_CH -0.024747 -0.061796 -0.045787 b_country_DK 0.022921 -0.007207 0.001486 b_country_IND 1.000000 0.410225 0.515027 b_country_RUS 0.410225 1.000000 0.495945 b_country_BRA 0.515027 0.495945 1.000000 b_char_fast -0.086758 -0.084614 -0.104007 b_char_double -0.038029 -0.047067 -0.060841 b_risk 0.069655 0.072408 0.032980 b_price 0.056661 0.028169 0.055265 lambda 0.032002 -0.088931 -0.018189 gamma_reg_user 0.027378 -0.008602 0.057062 gamma_university 0.016976 0.009428 0.056474 gamma_age_50 -0.034571 -0.009273 -0.013471 zeta_quality 0.028445 -0.010017 0.018426 zeta_ingredient -0.021665 -0.023328 -0.021343 zeta_patent -0.014636 0.012527 0.012107 zeta_dominance 0.003150 7.4326e-04 0.012276 tau_quality_1 0.001279 -0.013073 0.029456 tau_quality_2 -0.005202 -0.015015 0.020859 tau_quality_3 0.011208 -0.023022 0.027458 tau_quality_4 -0.013991 -0.011677 0.021300 tau_ingredients_1 0.004964 -0.022074 -0.055643 tau_ingredients_2 0.018421 -0.009616 -0.015513 tau_ingredients_3 0.032101 0.015431 0.001606 tau_ingredients_4 0.007751 -0.003669 0.005240 tau_patent_1 0.050464 -3.6497e-04 0.060503 tau_patent_2 0.029088 5.8479e-04 0.050163 tau_patent_3 -0.019931 -0.010270 0.050867 tau_patent_4 -0.031681 -0.012683 0.040368 tau_dominance_1 0.039598 0.013530 0.007916 tau_dominance_2 0.004466 -0.012134 -0.034916 tau_dominance_3 0.011114 0.009590 -0.041503 tau_dominance_4 -0.017898 -0.025096 -0.039736 b_char_fast b_char_double b_risk b_brand_Novum -0.054837 -0.013480 0.071911 b_brand_BestValue -0.010082 0.129290 -0.101938 b_brand_Supermarket 0.053623 0.145476 -0.118620 b_brand_PainAway -0.033282 0.073725 -0.040758 b_country_CH 0.103343 0.079473 -0.006796 b_country_DK 0.006651 -0.015588 0.046648 b_country_IND -0.086758 -0.038029 0.069655 b_country_RUS -0.084614 -0.047067 0.072408 b_country_BRA -0.104007 -0.060841 0.032980 b_char_fast 1.000000 0.435665 -0.092001 b_char_double 0.435665 1.000000 -0.010428 b_risk -0.092001 -0.010428 1.000000 b_price -0.148276 -0.183538 0.122306 lambda 0.089607 0.054845 -0.054907 gamma_reg_user 0.022254 0.013749 0.031571 gamma_university -0.064707 2.9543e-04 0.029281 gamma_age_50 0.076830 0.027076 -0.073446 zeta_quality 0.011338 -0.016118 0.050705 zeta_ingredient 0.012524 0.054474 0.022058 zeta_patent -0.026442 0.014545 -0.021920 zeta_dominance -0.001751 -0.004458 -0.003640 tau_quality_1 0.021181 -0.001547 -0.009033 tau_quality_2 0.010192 -0.013915 0.001460 tau_quality_3 0.005105 -0.043165 0.023363 tau_quality_4 0.007090 -0.058720 0.025406 tau_ingredients_1 0.027812 0.024324 0.032200 tau_ingredients_2 -0.017962 -0.041336 0.039745 tau_ingredients_3 -0.013719 -0.042545 0.012538 tau_ingredients_4 -0.017703 -0.039509 0.030896 tau_patent_1 0.040637 0.019473 -0.024164 tau_patent_2 0.049676 -0.011404 -0.018094 tau_patent_3 0.011531 -0.032877 -0.001610 tau_patent_4 0.003858 -0.026966 -0.023206 tau_dominance_1 -0.035165 -0.048751 -0.032712 tau_dominance_2 -0.019532 -0.015002 -0.014005 tau_dominance_3 0.005225 -0.027706 0.021063 tau_dominance_4 -0.019266 -0.047101 -0.015984 b_price lambda gamma_reg_user b_brand_Novum 0.076667 -0.04769 -0.001155 b_brand_BestValue 0.264110 -0.12859 0.249175 b_brand_Supermarket 0.231307 -0.09391 0.268093 b_brand_PainAway 0.294400 -0.12367 0.263927 b_country_CH -0.120938 0.07586 -0.004558 b_country_DK -0.059821 0.02785 0.001638 b_country_IND 0.056661 0.03200 0.027378 b_country_RUS 0.028169 -0.08893 -0.008602 b_country_BRA 0.055265 -0.01819 0.057062 b_char_fast -0.148276 0.08961 0.022254 b_char_double -0.183538 0.05484 0.013749 b_risk 0.122306 -0.05491 0.031571 b_price 1.000000 -0.06973 0.004009 lambda -0.069726 1.00000 0.299596 gamma_reg_user 0.004009 0.29960 1.000000 gamma_university -0.018229 0.17878 0.150928 gamma_age_50 0.027864 -0.06100 0.061477 zeta_quality 0.010792 0.11949 0.244020 zeta_ingredient 0.023765 -0.13827 -0.123096 zeta_patent 0.041195 0.10813 0.142270 zeta_dominance 0.068582 -0.15137 -0.108619 tau_quality_1 0.026852 0.09320 0.228491 tau_quality_2 0.014615 0.08075 0.275644 tau_quality_3 0.025676 0.04971 0.322278 tau_quality_4 -0.009169 0.02073 0.266646 tau_ingredients_1 -0.014090 -0.04011 -0.215022 tau_ingredients_2 -0.021306 -0.04096 -0.275603 tau_ingredients_3 -0.048710 -0.08207 -0.275209 tau_ingredients_4 -0.019804 -0.05614 -0.219352 tau_patent_1 0.010300 0.09472 0.259454 tau_patent_2 0.004761 0.09109 0.313652 tau_patent_3 -0.002903 0.07461 0.327577 tau_patent_4 -0.003689 0.04138 0.268174 tau_dominance_1 -0.030853 -0.03578 -0.215163 tau_dominance_2 -0.041172 -0.03036 -0.233253 tau_dominance_3 -0.054229 -0.04716 -0.260474 tau_dominance_4 -0.034807 -0.01045 -0.219860 gamma_university gamma_age_50 zeta_quality b_brand_Novum -0.013312 -0.024721 0.005112 b_brand_BestValue 0.266440 0.324623 0.048243 b_brand_Supermarket 0.252458 0.331438 0.044366 b_brand_PainAway 0.263971 0.336193 0.056953 b_country_CH -0.051141 -0.014804 -0.009076 b_country_DK -0.031954 -0.027964 -0.023864 b_country_IND 0.016976 -0.034571 0.028445 b_country_RUS 0.009428 -0.009273 -0.010017 b_country_BRA 0.056474 -0.013471 0.018426 b_char_fast -0.064707 0.076830 0.011338 b_char_double 2.9543e-04 0.027076 -0.016118 b_risk 0.029281 -0.073446 0.050705 b_price -0.018229 0.027864 0.010792 lambda 0.178784 -0.060997 0.119490 gamma_reg_user 0.150928 0.061477 0.244020 gamma_university 1.000000 -0.003505 0.123676 gamma_age_50 -0.003505 1.000000 -0.096384 zeta_quality 0.123676 -0.096384 1.000000 zeta_ingredient -0.134435 0.148837 -0.174521 zeta_patent 0.096937 -0.135448 0.082293 zeta_dominance -0.267249 0.027991 -0.056914 tau_quality_1 0.279485 0.291765 -0.471117 tau_quality_2 0.316778 0.320781 -0.371786 tau_quality_3 0.306977 0.334045 0.110378 tau_quality_4 0.258725 0.228074 0.246569 tau_ingredients_1 -0.266260 -0.262351 -0.040565 tau_ingredients_2 -0.307233 -0.341550 -0.016177 tau_ingredients_3 -0.273905 -0.340075 9.7803e-04 tau_ingredients_4 -0.203489 -0.312422 -0.014171 tau_patent_1 0.253939 0.313374 0.057994 tau_patent_2 0.342699 0.363423 0.064268 tau_patent_3 0.372743 0.360370 0.037172 tau_patent_4 0.329680 0.316511 0.042648 tau_dominance_1 -0.189665 -0.195535 -0.053768 tau_dominance_2 -0.265004 -0.304893 -0.018913 tau_dominance_3 -0.196079 -0.266916 -0.048087 tau_dominance_4 -0.123103 -0.207574 -0.061945 zeta_ingredient zeta_patent zeta_dominance b_brand_Novum -0.016305 0.034956 -0.034374 b_brand_BestValue 0.007632 0.032202 -0.068927 b_brand_Supermarket 0.033585 0.045115 -0.077207 b_brand_PainAway 0.047518 0.048681 -0.059465 b_country_CH 0.031046 -0.029830 -0.019152 b_country_DK -0.007356 -0.014660 -0.009322 b_country_IND -0.021665 -0.014636 0.003150 b_country_RUS -0.023328 0.012527 7.4326e-04 b_country_BRA -0.021343 0.012107 0.012276 b_char_fast 0.012524 -0.026442 -0.001751 b_char_double 0.054474 0.014545 -0.004458 b_risk 0.022058 -0.021920 -0.003640 b_price 0.023765 0.041195 0.068582 lambda -0.138269 0.108127 -0.151365 gamma_reg_user -0.123096 0.142270 -0.108619 gamma_university -0.134435 0.096937 -0.267249 gamma_age_50 0.148837 -0.135448 0.027991 zeta_quality -0.174521 0.082293 -0.056914 zeta_ingredient 1.000000 -0.117120 0.138366 zeta_patent -0.117120 1.000000 -0.058302 zeta_dominance 0.138366 -0.058302 1.000000 tau_quality_1 0.012913 0.051412 -0.081558 tau_quality_2 -0.003092 0.045233 -0.093001 tau_quality_3 -0.004074 0.041137 -0.091467 tau_quality_4 -0.011735 0.047383 -0.072453 tau_ingredients_1 0.154694 0.030975 0.072025 tau_ingredients_2 0.012583 0.033755 0.099218 tau_ingredients_3 -0.401390 0.026465 0.046119 tau_ingredients_4 -0.507543 -0.005869 0.044343 tau_patent_1 0.001879 -0.534671 -0.081649 tau_patent_2 0.004267 -0.391774 -0.113528 tau_patent_3 0.022360 0.056159 -0.106961 tau_patent_4 0.045481 0.185607 -0.127126 tau_dominance_1 0.007598 -0.060325 0.083642 tau_dominance_2 0.010885 -0.037250 0.043408 tau_dominance_3 -0.013699 -0.078638 -0.365933 tau_dominance_4 -0.019971 -0.020232 -0.420081 tau_quality_1 tau_quality_2 tau_quality_3 b_brand_Novum 0.007226 -0.013459 0.021996 b_brand_BestValue 0.248688 0.299562 0.323797 b_brand_Supermarket 0.271588 0.298223 0.336014 b_brand_PainAway 0.263755 0.293358 0.346267 b_country_CH -0.013524 -0.040922 -0.048244 b_country_DK -0.019555 -0.022946 -0.026988 b_country_IND 0.001279 -0.005202 0.011208 b_country_RUS -0.013073 -0.015015 -0.023022 b_country_BRA 0.029456 0.020859 0.027458 b_char_fast 0.021181 0.010192 0.005105 b_char_double -0.001547 -0.013915 -0.043165 b_risk -0.009033 0.001460 0.023363 b_price 0.026852 0.014615 0.025676 lambda 0.093196 0.080752 0.049714 gamma_reg_user 0.228491 0.275644 0.322278 gamma_university 0.279485 0.316778 0.306977 gamma_age_50 0.291765 0.320781 0.334045 zeta_quality -0.471117 -0.371786 0.110378 zeta_ingredient 0.012913 -0.003092 -0.004074 zeta_patent 0.051412 0.045233 0.041137 zeta_dominance -0.081558 -0.093001 -0.091467 tau_quality_1 1.000000 0.821002 0.371937 tau_quality_2 0.821002 1.000000 0.491981 tau_quality_3 0.371937 0.491981 1.000000 tau_quality_4 0.182520 0.279766 0.681145 tau_ingredients_1 -0.249430 -0.312311 -0.289027 tau_ingredients_2 -0.338982 -0.387792 -0.379631 tau_ingredients_3 -0.297223 -0.350937 -0.324390 tau_ingredients_4 -0.223540 -0.286718 -0.293903 tau_patent_1 0.239288 0.277416 0.258675 tau_patent_2 0.320467 0.361257 0.350537 tau_patent_3 0.351240 0.416135 0.382276 tau_patent_4 0.297916 0.340379 0.334706 tau_dominance_1 -0.186129 -0.211869 -0.211813 tau_dominance_2 -0.254891 -0.288450 -0.315070 tau_dominance_3 -0.233699 -0.255451 -0.250549 tau_dominance_4 -0.165539 -0.217955 -0.203144 tau_quality_4 tau_ingredients_1 tau_ingredients_2 b_brand_Novum 0.019995 -0.019661 -0.018811 b_brand_BestValue 0.265572 -0.240331 -0.325343 b_brand_Supermarket 0.260028 -0.242162 -0.327614 b_brand_PainAway 0.272578 -0.249729 -0.304848 b_country_CH -0.043475 0.033670 0.054014 b_country_DK -0.021470 -0.002372 0.050735 b_country_IND -0.013991 0.004964 0.018421 b_country_RUS -0.011677 -0.022074 -0.009616 b_country_BRA 0.021300 -0.055643 -0.015513 b_char_fast 0.007090 0.027812 -0.017962 b_char_double -0.058720 0.024324 -0.041336 b_risk 0.025406 0.032200 0.039745 b_price -0.009169 -0.014090 -0.021306 lambda 0.020733 -0.040107 -0.040961 gamma_reg_user 0.266646 -0.215022 -0.275603 gamma_university 0.258725 -0.266260 -0.307233 gamma_age_50 0.228074 -0.262351 -0.341550 zeta_quality 0.246569 -0.040565 -0.016177 zeta_ingredient -0.011735 0.154694 0.012583 zeta_patent 0.047383 0.030975 0.033755 zeta_dominance -0.072453 0.072025 0.099218 tau_quality_1 0.182520 -0.249430 -0.338982 tau_quality_2 0.279766 -0.312311 -0.387792 tau_quality_3 0.681145 -0.289027 -0.379631 tau_quality_4 1.000000 -0.223975 -0.285722 tau_ingredients_1 -0.223975 1.000000 0.681694 tau_ingredients_2 -0.285722 0.681694 1.000000 tau_ingredients_3 -0.253859 0.322670 0.532405 tau_ingredients_4 -0.220306 0.212067 0.393473 tau_patent_1 0.195856 -0.281727 -0.316469 tau_patent_2 0.269690 -0.325502 -0.395970 tau_patent_3 0.296177 -0.324482 -0.389879 tau_patent_4 0.259836 -0.302140 -0.355868 tau_dominance_1 -0.194641 0.118247 0.205005 tau_dominance_2 -0.231626 0.219012 0.302147 tau_dominance_3 -0.183532 0.232254 0.269457 tau_dominance_4 -0.161613 0.172938 0.208058 tau_ingredients_3 tau_ingredients_4 tau_patent_1 b_brand_Novum 8.5788e-04 -0.006752 0.002317 b_brand_BestValue -0.318919 -0.251511 0.254229 b_brand_Supermarket -0.346295 -0.291924 0.252358 b_brand_PainAway -0.319139 -0.290187 0.230286 b_country_CH 0.019677 -0.006531 -0.013250 b_country_DK 0.016074 0.050627 -0.040334 b_country_IND 0.032101 0.007751 0.050464 b_country_RUS 0.015431 -0.003669 -3.6497e-04 b_country_BRA 0.001606 0.005240 0.060503 b_char_fast -0.013719 -0.017703 0.040637 b_char_double -0.042545 -0.039509 0.019473 b_risk 0.012538 0.030896 -0.024164 b_price -0.048710 -0.019804 0.010300 lambda -0.082070 -0.056143 0.094717 gamma_reg_user -0.275209 -0.219352 0.259454 gamma_university -0.273905 -0.203489 0.253939 gamma_age_50 -0.340075 -0.312422 0.313374 zeta_quality 9.7803e-04 -0.014171 0.057994 zeta_ingredient -0.401390 -0.507543 0.001879 zeta_patent 0.026465 -0.005869 -0.534671 zeta_dominance 0.046119 0.044343 -0.081649 tau_quality_1 -0.297223 -0.223540 0.239288 tau_quality_2 -0.350937 -0.286718 0.277416 tau_quality_3 -0.324390 -0.293903 0.258675 tau_quality_4 -0.253859 -0.220306 0.195856 tau_ingredients_1 0.322670 0.212067 -0.281727 tau_ingredients_2 0.532405 0.393473 -0.316469 tau_ingredients_3 1.000000 0.794041 -0.298968 tau_ingredients_4 0.794041 1.000000 -0.223046 tau_patent_1 -0.298968 -0.223046 1.000000 tau_patent_2 -0.368568 -0.282516 0.800346 tau_patent_3 -0.384270 -0.334902 0.401163 tau_patent_4 -0.344255 -0.320001 0.245871 tau_dominance_1 0.230163 0.211755 -0.151325 tau_dominance_2 0.277182 0.252701 -0.209705 tau_dominance_3 0.278211 0.218925 -0.191286 tau_dominance_4 0.205084 0.159668 -0.152215 tau_patent_2 tau_patent_3 tau_patent_4 b_brand_Novum 0.010052 -0.035766 -0.020940 b_brand_BestValue 0.320360 0.339396 0.322798 b_brand_Supermarket 0.320059 0.354814 0.329580 b_brand_PainAway 0.312685 0.347349 0.318321 b_country_CH -0.014798 0.020610 0.018088 b_country_DK -0.036026 -0.020075 -0.031779 b_country_IND 0.029088 -0.019931 -0.031681 b_country_RUS 5.8479e-04 -0.010270 -0.012683 b_country_BRA 0.050163 0.050867 0.040368 b_char_fast 0.049676 0.011531 0.003858 b_char_double -0.011404 -0.032877 -0.026966 b_risk -0.018094 -0.001610 -0.023206 b_price 0.004761 -0.002903 -0.003689 lambda 0.091088 0.074607 0.041376 gamma_reg_user 0.313652 0.327577 0.268174 gamma_university 0.342699 0.372743 0.329680 gamma_age_50 0.363423 0.360370 0.316511 zeta_quality 0.064268 0.037172 0.042648 zeta_ingredient 0.004267 0.022360 0.045481 zeta_patent -0.391774 0.056159 0.185607 zeta_dominance -0.113528 -0.106961 -0.127126 tau_quality_1 0.320467 0.351240 0.297916 tau_quality_2 0.361257 0.416135 0.340379 tau_quality_3 0.350537 0.382276 0.334706 tau_quality_4 0.269690 0.296177 0.259836 tau_ingredients_1 -0.325502 -0.324482 -0.302140 tau_ingredients_2 -0.395970 -0.389879 -0.355868 tau_ingredients_3 -0.368568 -0.384270 -0.344255 tau_ingredients_4 -0.282516 -0.334902 -0.320001 tau_patent_1 0.800346 0.401163 0.245871 tau_patent_2 1.000000 0.564830 0.392370 tau_patent_3 0.564830 1.000000 0.759480 tau_patent_4 0.392370 0.759480 1.000000 tau_dominance_1 -0.208934 -0.226261 -0.223991 tau_dominance_2 -0.277136 -0.317404 -0.293876 tau_dominance_3 -0.253983 -0.301913 -0.242943 tau_dominance_4 -0.202003 -0.233606 -0.157899 tau_dominance_1 tau_dominance_2 tau_dominance_3 b_brand_Novum -0.006432 -0.007126 -0.007443 b_brand_BestValue -0.249082 -0.273587 -0.273468 b_brand_Supermarket -0.284743 -0.317193 -0.282184 b_brand_PainAway -0.239114 -0.283764 -0.294146 b_country_CH -0.023367 -0.008276 -0.008092 b_country_DK -0.021489 0.023996 -0.023834 b_country_IND 0.039598 0.004466 0.011114 b_country_RUS 0.013530 -0.012134 0.009590 b_country_BRA 0.007916 -0.034916 -0.041503 b_char_fast -0.035165 -0.019532 0.005225 b_char_double -0.048751 -0.015002 -0.027706 b_risk -0.032712 -0.014005 0.021063 b_price -0.030853 -0.041172 -0.054229 lambda -0.035783 -0.030359 -0.047158 gamma_reg_user -0.215163 -0.233253 -0.260474 gamma_university -0.189665 -0.265004 -0.196079 gamma_age_50 -0.195535 -0.304893 -0.266916 zeta_quality -0.053768 -0.018913 -0.048087 zeta_ingredient 0.007598 0.010885 -0.013699 zeta_patent -0.060325 -0.037250 -0.078638 zeta_dominance 0.083642 0.043408 -0.365933 tau_quality_1 -0.186129 -0.254891 -0.233699 tau_quality_2 -0.211869 -0.288450 -0.255451 tau_quality_3 -0.211813 -0.315070 -0.250549 tau_quality_4 -0.194641 -0.231626 -0.183532 tau_ingredients_1 0.118247 0.219012 0.232254 tau_ingredients_2 0.205005 0.302147 0.269457 tau_ingredients_3 0.230163 0.277182 0.278211 tau_ingredients_4 0.211755 0.252701 0.218925 tau_patent_1 -0.151325 -0.209705 -0.191286 tau_patent_2 -0.208934 -0.277136 -0.253983 tau_patent_3 -0.226261 -0.317404 -0.301913 tau_patent_4 -0.223991 -0.293876 -0.242943 tau_dominance_1 1.000000 0.649747 0.289384 tau_dominance_2 0.649747 1.000000 0.451082 tau_dominance_3 0.289384 0.451082 1.000000 tau_dominance_4 0.197810 0.314254 0.737083 tau_dominance_4 b_brand_Novum 0.040321 b_brand_BestValue -0.181761 b_brand_Supermarket -0.185289 b_brand_PainAway -0.200786 b_country_CH -8.904e-05 b_country_DK 0.001015 b_country_IND -0.017898 b_country_RUS -0.025096 b_country_BRA -0.039736 b_char_fast -0.019266 b_char_double -0.047101 b_risk -0.015984 b_price -0.034807 lambda -0.010450 gamma_reg_user -0.219860 gamma_university -0.123103 gamma_age_50 -0.207574 zeta_quality -0.061945 zeta_ingredient -0.019971 zeta_patent -0.020232 zeta_dominance -0.420081 tau_quality_1 -0.165539 tau_quality_2 -0.217955 tau_quality_3 -0.203144 tau_quality_4 -0.161613 tau_ingredients_1 0.172938 tau_ingredients_2 0.208058 tau_ingredients_3 0.205084 tau_ingredients_4 0.159668 tau_patent_1 -0.152215 tau_patent_2 -0.202003 tau_patent_3 -0.233606 tau_patent_4 -0.157899 tau_dominance_1 0.197810 tau_dominance_2 0.314254 tau_dominance_3 0.737083 tau_dominance_4 1.000000 20 most extreme outliers in terms of lowest average per choice prediction: ID Avg prob per choice 695 0.08090260 288 0.08362728 480 0.08475309 875 0.08840875 611 0.08929635 593 0.09197519 92 0.09526949 509 0.09606667 326 0.10043916 51 0.10083321 163 0.10288599 8 0.10369069 204 0.10728444 412 0.10861343 867 0.10896522 544 0.10945563 473 0.10971879 450 0.11062212 508 0.11203270 126 0.11224165 Settings and functions used in model definition: apollo_control -------------- Value modelDescr "Hybrid choice model on drug choice data, using ordered measurement model for indicators" indivID "ID" nCores "4" outputDirectory "output/" mixing "TRUE" debug "FALSE" modelName "Hybrid_with_OL" workInLogs "FALSE" seed "13" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" calculateLLC "TRUE" analyticHessian "FALSE" memorySaver "FALSE" panelData "TRUE" analyticGrad "TRUE" analyticGrad_manualSet "FALSE" overridePanel "FALSE" preventOverridePanel "FALSE" noModification "FALSE" Hessian routines attempted -------------------------- numerical jacobian of LL analytical gradient Scaling used in computing Hessian --------------------------------- Value b_brand_Novum 0.276338798 b_brand_BestValue 0.774817187 b_brand_Supermarket 0.461157625 b_brand_PainAway 1.443384141 b_country_CH 0.669865526 b_country_DK 0.337770971 b_country_IND 0.296064848 b_country_RUS 0.893976348 b_country_BRA 0.655941492 b_char_fast 0.769131878 b_char_double 1.212322491 b_risk 0.001573491 b_price 0.724003624 lambda 0.640791577 gamma_reg_user 0.959592900 gamma_university 0.598548632 gamma_age_50 0.479807631 zeta_quality 0.933177012 zeta_ingredient 0.847612075 zeta_patent 1.048298968 zeta_dominance 0.657902072 tau_quality_1 1.918216891 tau_quality_2 1.016297084 tau_quality_3 1.119435218 tau_quality_4 2.246267240 tau_ingredients_1 2.074840226 tau_ingredients_2 0.989973681 tau_ingredients_3 0.910157753 tau_ingredients_4 1.856192012 tau_patent_1 2.080643167 tau_patent_2 1.018095049 tau_patent_3 0.938054328 tau_patent_4 1.875668467 tau_dominance_1 2.207007211 tau_dominance_2 1.108866782 tau_dominance_3 1.058643937 tau_dominance_4 2.111749059 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, utility = zeta_quality*LV, tau = list(tau_quality_1, tau_quality_2, tau_quality_3, tau_quality_4), rows = (task==1)) ol_settings2 = list(outcomeOrdered = attitude_ingredients, utility = zeta_ingredient*LV, tau = list(tau_ingredients_1, tau_ingredients_2, tau_ingredients_3, tau_ingredients_4), rows = (task==1)) ol_settings3 = list(outcomeOrdered = attitude_patent, utility = zeta_patent*LV, tau = list(tau_patent_1, tau_patent_2, tau_patent_3, tau_patent_4), rows = (task==1)) ol_settings4 = list(outcomeOrdered = attitude_dominance, utility = zeta_dominance*LV, tau = list(tau_dominance_1, tau_dominance_2, tau_dominance_3, tau_dominance_4), rows = (task==1)) P[["indic_quality"]] = apollo_ol(ol_settings1, functionality) P[["indic_quality"]] = apollo_panelProd(P[["indic_quality"]] , apollo_inputs, functionality) P[["indic_ingredients"]] = apollo_ol(ol_settings2, functionality) P[["indic_ingredients"]] = apollo_panelProd(P[["indic_ingredients"]], apollo_inputs, functionality) P[["indic_patent"]] = apollo_ol(ol_settings3, functionality) P[["indic_patent"]] = apollo_panelProd(P[["indic_patent"]] , apollo_inputs, functionality) P[["indic_dominance"]] = apollo_ol(ol_settings4, functionality) P[["indic_dominance"]] = apollo_panelProd(P[["indic_dominance"]] , apollo_inputs, 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 ) ### Compute probabilities for MNL model component P[["choice"]] = apollo_mnl(mnl_settings, functionality) P[["choice"]] = apollo_panelProd(P[["choice"]] , apollo_inputs, functionality) ### Likelihood of the whole model P = apollo_combineModels(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) }