Model run by stephane.hess using Apollo 0.2.9 on R 4.0.5 for Darwin. www.ApolloChoiceModelling.com Model name : BW_joint_model_diff_params Model description : Best-worst model on drug choice data, using different parameters for best and worst choices Model run at : 2023-05-10 22:06:07 Estimation method : bfgs Model diagnosis : successful convergence Optimisation diagnosis : Maximum found hessian properties : Negative definitive maximum eigenvalue : -70.384787 Number of individuals : 1000 Number of rows in database : 10000 Number of modelled outcomes : 20000 best : 10000 choice_worst : 10000 Number of cores used : 1 Model without mixing LL(start) : -24849.07 LL (whole model) at equal shares, LL(0) : -24849.07 LL (whole model) at observed shares, LL(C) : -26184.18 LL(final, whole model) : -20780.24 Rho-squared vs equal shares : 0.1637 Adj.Rho-squared vs equal shares : 0.1627 Rho-squared vs observed shares : 0.2064 Adj.Rho-squared vs observed shares : 0.2056 AIC : 41612.47 BIC : 41799.94 LL(0,choice_best) : -13862.94 LL(final,choice_best) : -11088.61 LL(0,choice_worst) : -10986.12 LL(final,choice_worst) : -9691.63 Estimated parameters : 26 Time taken (hh:mm:ss) : 00:00:38.38 pre-estimation : 00:00:7.17 estimation : 00:00:8.49 initial estimation : 00:00:7.98 estimation after rescaling : 00:00:0.51 post-estimation : 00:00:22.72 Iterations : 37 initial estimation : 36 estimation after rescaling : 1 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) b_brand_Artemis_best 0.000000 NA NA NA NA b_brand_Artemis_worst 0.000000 NA NA NA NA b_brand_Novum_best -0.269845 0.03034 -8.894 0.03123 -8.642 b_brand_Novum_worst -0.285958 0.04287 -6.670 0.04158 -6.877 b_brand_BestValue_best -0.461958 0.06098 -7.576 0.06298 -7.335 b_brand_worstValue_worst -0.586496 0.06595 -8.893 0.06897 -8.504 b_brand_Supermarket_best -0.154948 0.06200 -2.499 0.06607 -2.345 b_brand_Supermarket_worst -0.418153 0.06735 -6.209 0.07295 -5.732 b_brand_PainAway_best -1.099511 0.06221 -17.673 0.06410 -17.152 b_brand_PainAway_worst -0.977427 0.06616 -14.775 0.07095 -13.776 b_country_CH_best 0.642628 0.03914 16.420 0.03803 16.897 b_country_CH_worst 0.319061 0.05339 5.976 0.05426 5.880 b_country_DK_best 0.330881 0.03767 8.783 0.03670 9.016 b_country_DK_worst 0.098949 0.05096 1.942 0.05221 1.895 b_country_USA_best 0.000000 NA NA NA NA b_country_USA_worst 0.000000 NA NA NA NA b_country_IND_best -0.305593 0.05553 -5.503 0.05635 -5.424 b_country_IND_worst -0.091529 0.04803 -1.906 0.04920 -1.860 b_country_RUS_best -0.849500 0.06022 -14.106 0.05890 -14.422 b_country_RUS_worst -0.540555 0.04536 -11.918 0.04481 -12.062 b_country_BRA_best -0.632849 0.05819 -10.875 0.05964 -10.611 b_country_BRA_worst -0.342112 0.04730 -7.233 0.04854 -7.047 b_char_standard_best 0.000000 NA NA NA NA b_char_standard_worst 0.000000 NA NA NA NA b_char_fast_best 0.739500 0.02845 25.989 0.02786 26.547 b_char_fast_worst 0.462352 0.02860 16.167 0.02846 16.246 b_char_double_best 1.171755 0.03685 31.799 0.03570 32.823 b_char_double_worst 0.715409 0.05205 13.744 0.05170 13.838 b_risk_best -0.001528 5.701e-05 -26.806 5.748e-05 -26.586 b_risk_worst -0.001038 3.594e-05 -28.872 3.557e-05 -29.170 b_price_best -0.704449 0.01773 -39.727 0.01697 -41.511 b_price_worst -0.512136 0.01954 -26.204 0.01928 -26.562 Overview of choices for MNL model component best: 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 Overview of choices for MNL model component choice_worst: alt1 alt2 alt3 alt4 Times available 6597.00 6454.00 8483.00 8466.00 Times chosen 1531.00 1545.00 3482.00 3442.00 Percentage chosen overall 15.31 15.45 34.82 34.42 Percentage chosen when available 23.21 23.94 41.05 40.66 Classical covariance matrix: b_brand_Novum_best b_brand_Novum_worst b_brand_BestValue_best b_brand_Novum_best 9.2055e-04 -1.240e-15 4.5082e-04 b_brand_Novum_worst -1.240e-15 0.001838 -1.695e-14 b_brand_BestValue_best 4.5082e-04 -1.695e-14 0.003719 b_brand_worstValue_worst 5.590e-16 0.001129 -3.139e-14 b_brand_Supermarket_best 5.5919e-04 -1.653e-14 0.002624 b_brand_Supermarket_worst 3.748e-15 0.001160 -2.760e-14 b_brand_PainAway_best 4.8530e-04 -1.574e-14 0.002352 b_brand_PainAway_worst 2.591e-15 0.001139 -2.651e-14 b_country_CH_best -6.381e-05 -6.695e-15 7.4305e-04 b_country_CH_worst -1.945e-15 -1.7206e-04 -2.387e-14 b_country_DK_best -5.339e-05 -2.434e-15 6.5831e-04 b_country_DK_worst -1.102e-15 -1.3917e-04 -2.475e-14 b_country_IND_best -5.128e-05 1.359e-14 -0.001447 b_country_IND_worst -7.193e-15 -4.938e-05 -1.728e-14 b_country_RUS_best -6.791e-05 5.894e-15 -0.001508 b_country_RUS_worst -4.830e-15 3.606e-05 -1.799e-14 b_country_BRA_best -6.784e-06 1.150e-14 -0.001337 b_country_BRA_worst -5.989e-15 3.116e-05 -1.287e-14 b_char_fast_best 1.300e-05 -1.844e-16 1.165e-06 b_char_fast_worst -1.573e-15 -4.256e-05 -4.796e-15 b_char_double_best 7.274e-05 -5.231e-15 4.0128e-04 b_char_double_worst -2.103e-16 1.5515e-04 -3.183e-15 b_risk_best 1.967e-09 5.710e-18 -6.878e-07 b_risk_worst -7.841e-19 5.078e-08 -1.770e-18 b_price_best 3.442e-05 4.535e-17 3.2726e-04 b_price_worst -5.258e-16 1.2193e-04 -8.300e-15 b_brand_worstValue_worst b_brand_Supermarket_best b_brand_Supermarket_worst b_brand_Novum_best 5.590e-16 5.5919e-04 3.748e-15 b_brand_Novum_worst 0.001129 -1.653e-14 0.001160 b_brand_BestValue_best -3.139e-14 0.002624 -2.760e-14 b_brand_worstValue_worst 0.004349 -3.949e-14 0.003623 b_brand_Supermarket_best -3.949e-14 0.003844 -3.399e-14 b_brand_Supermarket_worst 0.003623 -3.399e-14 0.004536 b_brand_PainAway_best -2.321e-14 0.002432 -2.029e-14 b_brand_PainAway_worst 0.003598 -3.321e-14 0.003642 b_country_CH_best -9.706e-15 7.3672e-04 -8.597e-15 b_country_CH_worst 0.001086 -2.911e-14 0.001128 b_country_DK_best -7.502e-15 6.9918e-04 -6.445e-15 b_country_DK_worst 0.001232 -2.711e-14 0.001239 b_country_IND_best 2.373e-14 -0.001509 2.347e-14 b_country_IND_worst -0.001185 -1.099e-14 -0.001157 b_country_RUS_best 2.077e-14 -0.001558 1.982e-14 b_country_RUS_worst -0.001077 -1.407e-14 -0.001067 b_country_BRA_best 1.980e-14 -0.001593 1.929e-14 b_country_BRA_worst -0.001076 -9.246e-15 -0.001137 b_char_fast_best -5.190e-15 1.0880e-04 -4.777e-15 b_char_fast_worst 1.992e-05 -7.625e-15 1.575e-05 b_char_double_best -6.833e-15 4.8316e-04 -5.310e-15 b_char_double_worst 5.7001e-04 -4.432e-15 6.3895e-04 b_risk_best 1.379e-17 -7.317e-07 1.274e-17 b_risk_worst -3.255e-07 -3.279e-18 -4.096e-07 b_price_best -2.091e-15 2.9919e-04 -1.813e-15 b_price_worst 4.8866e-04 -9.107e-15 4.7511e-04 b_brand_PainAway_best b_brand_PainAway_worst b_country_CH_best b_brand_Novum_best 4.8530e-04 2.591e-15 -6.381e-05 b_brand_Novum_worst -1.574e-14 0.001139 -6.695e-15 b_brand_BestValue_best 0.002352 -2.651e-14 7.4305e-04 b_brand_worstValue_worst -2.321e-14 0.003598 -9.706e-15 b_brand_Supermarket_best 0.002432 -3.321e-14 7.3672e-04 b_brand_Supermarket_worst -2.029e-14 0.003642 -8.597e-15 b_brand_PainAway_best 0.003871 -1.796e-14 5.9704e-04 b_brand_PainAway_worst -1.796e-14 0.004377 -9.011e-15 b_country_CH_best 5.9704e-04 -9.011e-15 0.001532 b_country_CH_worst -1.607e-14 0.001144 7.409e-16 b_country_DK_best 5.7575e-04 -6.900e-15 7.3241e-04 b_country_DK_worst -1.172e-14 0.001301 8.443e-15 b_country_IND_best -0.001312 2.279e-14 8.997e-06 b_country_IND_worst -1.640e-14 -0.001209 1.316e-14 b_country_RUS_best -0.001297 1.840e-14 -6.668e-05 b_country_RUS_worst -1.690e-14 -0.001091 4.484e-15 b_country_BRA_best -0.001313 1.792e-14 -8.328e-05 b_country_BRA_worst -1.300e-14 -0.001129 5.902e-15 b_char_fast_best -5.615e-05 -5.733e-15 7.601e-05 b_char_fast_worst -3.864e-15 -1.1180e-04 -1.036e-15 b_char_double_best 3.1340e-04 -5.892e-15 1.2045e-04 b_char_double_worst -4.659e-15 5.4450e-04 -9.840e-16 b_risk_best -2.471e-07 1.233e-17 -1.367e-07 b_risk_worst -1.573e-18 -1.974e-07 -1.353e-18 b_price_best 3.8506e-04 -1.327e-15 -7.871e-05 b_price_worst -7.289e-15 4.8892e-04 -1.347e-15 b_country_CH_worst b_country_DK_best b_country_DK_worst b_brand_Novum_best -1.945e-15 -5.339e-05 -1.102e-15 b_brand_Novum_worst -1.7206e-04 -2.434e-15 -1.3917e-04 b_brand_BestValue_best -2.387e-14 6.5831e-04 -2.475e-14 b_brand_worstValue_worst 0.001086 -7.502e-15 0.001232 b_brand_Supermarket_best -2.911e-14 6.9918e-04 -2.711e-14 b_brand_Supermarket_worst 0.001128 -6.445e-15 0.001239 b_brand_PainAway_best -1.607e-14 5.7575e-04 -1.172e-14 b_brand_PainAway_worst 0.001144 -6.900e-15 0.001301 b_country_CH_best 7.409e-16 7.3241e-04 8.443e-15 b_country_CH_worst 0.002851 -3.075e-15 0.001289 b_country_DK_best -3.075e-15 0.001419 2.676e-15 b_country_DK_worst 0.001289 2.676e-15 0.002597 b_country_IND_best 1.702e-14 9.072e-05 3.053e-14 b_country_IND_worst -2.0949e-04 7.985e-15 -5.405e-05 b_country_RUS_best 1.672e-14 1.083e-05 2.657e-14 b_country_RUS_worst -1.6850e-04 3.452e-15 -7.780e-05 b_country_BRA_best 1.634e-14 4.094e-06 2.022e-14 b_country_BRA_worst -2.4176e-04 4.184e-15 -2.0976e-04 b_char_fast_best -8.740e-16 3.244e-05 -5.545e-15 b_char_fast_worst 2.1594e-04 -4.722e-16 1.7559e-04 b_char_double_best -1.409e-15 2.975e-05 -3.594e-15 b_char_double_worst 8.705e-05 -8.526e-17 2.054e-05 b_risk_best 9.484e-18 -5.300e-08 1.364e-17 b_risk_worst -6.450e-08 4.067e-19 -4.484e-08 b_price_best -2.963e-15 -2.947e-05 -1.364e-15 b_price_worst -1.7710e-04 -5.455e-16 -1.116e-05 b_country_IND_best b_country_IND_worst b_country_RUS_best b_brand_Novum_best -5.128e-05 -7.193e-15 -6.791e-05 b_brand_Novum_worst 1.359e-14 -4.938e-05 5.894e-15 b_brand_BestValue_best -0.001447 -1.728e-14 -0.001508 b_brand_worstValue_worst 2.373e-14 -0.001185 2.077e-14 b_brand_Supermarket_best -0.001509 -1.099e-14 -0.001558 b_brand_Supermarket_worst 2.347e-14 -0.001157 1.982e-14 b_brand_PainAway_best -0.001312 -1.640e-14 -0.001297 b_brand_PainAway_worst 2.279e-14 -0.001209 1.840e-14 b_country_CH_best 8.997e-06 1.316e-14 -6.668e-05 b_country_CH_worst 1.702e-14 -2.0949e-04 1.672e-14 b_country_DK_best 9.072e-05 7.985e-15 1.083e-05 b_country_DK_worst 3.053e-14 -5.405e-05 2.657e-14 b_country_IND_best 0.003084 2.459e-14 0.001490 b_country_IND_worst 2.459e-14 0.002307 1.041e-14 b_country_RUS_best 0.001490 1.041e-14 0.003627 b_country_RUS_worst 1.772e-14 0.001159 1.073e-14 b_country_BRA_best 0.001507 1.706e-14 0.001472 b_country_BRA_worst 1.420e-14 0.001235 5.361e-15 b_char_fast_best -9.933e-05 5.407e-15 -1.0729e-04 b_char_fast_worst 1.082e-15 -7.246e-05 3.304e-15 b_char_double_best -6.575e-05 -7.664e-16 -6.241e-05 b_char_double_worst 2.105e-15 -3.261e-05 1.755e-15 b_risk_best 1.661e-07 5.396e-18 1.745e-07 b_risk_worst 2.238e-18 -5.460e-08 2.176e-18 b_price_best 3.306e-05 -8.807e-16 4.210e-05 b_price_worst 7.976e-15 6.013e-05 5.414e-15 b_country_RUS_worst b_country_BRA_best b_country_BRA_worst b_brand_Novum_best -4.830e-15 -6.784e-06 -5.989e-15 b_brand_Novum_worst 3.606e-05 1.150e-14 3.116e-05 b_brand_BestValue_best -1.799e-14 -0.001337 -1.287e-14 b_brand_worstValue_worst -0.001077 1.980e-14 -0.001076 b_brand_Supermarket_best -1.407e-14 -0.001593 -9.246e-15 b_brand_Supermarket_worst -0.001067 1.929e-14 -0.001137 b_brand_PainAway_best -1.690e-14 -0.001313 -1.300e-14 b_brand_PainAway_worst -0.001091 1.792e-14 -0.001129 b_country_CH_best 4.484e-15 -8.328e-05 5.902e-15 b_country_CH_worst -1.6850e-04 1.634e-14 -2.4176e-04 b_country_DK_best 3.452e-15 4.094e-06 4.184e-15 b_country_DK_worst -7.780e-05 2.022e-14 -2.0976e-04 b_country_IND_best 1.772e-14 0.001507 1.420e-14 b_country_IND_worst 0.001159 1.706e-14 0.001235 b_country_RUS_best 1.073e-14 0.001472 5.361e-15 b_country_RUS_worst 0.002057 1.512e-14 0.001195 b_country_BRA_best 1.512e-14 0.003386 1.020e-14 b_country_BRA_worst 0.001195 1.020e-14 0.002237 b_char_fast_best 3.177e-15 -1.1996e-04 3.955e-15 b_char_fast_worst -1.4121e-04 3.026e-15 -9.320e-05 b_char_double_best -1.384e-15 -9.636e-05 -8.136e-16 b_char_double_worst -7.515e-05 3.712e-15 -1.1070e-04 b_risk_best 4.982e-18 9.617e-08 5.567e-18 b_risk_worst 1.399e-07 2.279e-18 4.996e-09 b_price_best -1.366e-15 7.202e-05 -9.951e-16 b_price_worst 1.1422e-04 6.111e-15 1.3300e-04 b_char_fast_best b_char_fast_worst b_char_double_best b_brand_Novum_best 1.300e-05 -1.573e-15 7.274e-05 b_brand_Novum_worst -1.844e-16 -4.256e-05 -5.231e-15 b_brand_BestValue_best 1.165e-06 -4.796e-15 4.0128e-04 b_brand_worstValue_worst -5.190e-15 1.992e-05 -6.833e-15 b_brand_Supermarket_best 1.0880e-04 -7.625e-15 4.8316e-04 b_brand_Supermarket_worst -4.777e-15 1.575e-05 -5.310e-15 b_brand_PainAway_best -5.615e-05 -3.864e-15 3.1340e-04 b_brand_PainAway_worst -5.733e-15 -1.1180e-04 -5.892e-15 b_country_CH_best 7.601e-05 -1.036e-15 1.2045e-04 b_country_CH_worst -8.740e-16 2.1594e-04 -1.409e-15 b_country_DK_best 3.244e-05 -4.722e-16 2.975e-05 b_country_DK_worst -5.545e-15 1.7559e-04 -3.594e-15 b_country_IND_best -9.933e-05 1.082e-15 -6.575e-05 b_country_IND_worst 5.407e-15 -7.246e-05 -7.664e-16 b_country_RUS_best -1.0729e-04 3.304e-15 -6.241e-05 b_country_RUS_worst 3.177e-15 -1.4121e-04 -1.384e-15 b_country_BRA_best -1.1996e-04 3.026e-15 -9.636e-05 b_country_BRA_worst 3.955e-15 -9.320e-05 -8.136e-16 b_char_fast_best 8.0963e-04 -8.785e-16 4.7482e-04 b_char_fast_worst -8.785e-16 8.1785e-04 -1.767e-15 b_char_double_best 4.7482e-04 -1.767e-15 0.001358 b_char_double_worst -1.429e-15 3.6276e-04 -2.761e-15 b_risk_best -1.217e-07 1.201e-18 -9.387e-08 b_risk_worst 2.304e-19 -8.793e-08 1.042e-19 b_price_best -6.687e-05 -6.771e-16 -1.0604e-04 b_price_worst 7.901e-17 -1.1795e-04 -1.099e-15 b_char_double_worst b_risk_best b_risk_worst b_brand_Novum_best -2.103e-16 1.967e-09 -7.841e-19 b_brand_Novum_worst 1.5515e-04 5.710e-18 5.078e-08 b_brand_BestValue_best -3.183e-15 -6.878e-07 -1.770e-18 b_brand_worstValue_worst 5.7001e-04 1.379e-17 -3.255e-07 b_brand_Supermarket_best -4.432e-15 -7.317e-07 -3.279e-18 b_brand_Supermarket_worst 6.3895e-04 1.274e-17 -4.096e-07 b_brand_PainAway_best -4.659e-15 -2.471e-07 -1.573e-18 b_brand_PainAway_worst 5.4450e-04 1.233e-17 -1.974e-07 b_country_CH_best -9.840e-16 -1.367e-07 -1.353e-18 b_country_CH_worst 8.705e-05 9.484e-18 -6.450e-08 b_country_DK_best -8.526e-17 -5.300e-08 4.067e-19 b_country_DK_worst 2.054e-05 1.364e-17 -4.484e-08 b_country_IND_best 2.105e-15 1.661e-07 2.238e-18 b_country_IND_worst -3.261e-05 5.396e-18 -5.460e-08 b_country_RUS_best 1.755e-15 1.745e-07 2.176e-18 b_country_RUS_worst -7.515e-05 4.982e-18 1.399e-07 b_country_BRA_best 3.712e-15 9.617e-08 2.279e-18 b_country_BRA_worst -1.1070e-04 5.567e-18 4.996e-09 b_char_fast_best -1.429e-15 -1.217e-07 2.304e-19 b_char_fast_worst 3.6276e-04 1.201e-18 -8.793e-08 b_char_double_best -2.761e-15 -9.387e-08 1.042e-19 b_char_double_worst 0.002710 7.196e-19 -6.690e-08 b_risk_best 7.196e-19 3.250e-09 -5.241e-22 b_risk_worst -6.690e-08 -5.241e-22 1.291e-09 b_price_best -2.660e-16 1.172e-07 -2.218e-19 b_price_worst -1.1134e-04 3.138e-18 1.533e-07 b_price_best b_price_worst b_brand_Novum_best 3.442e-05 -5.258e-16 b_brand_Novum_worst 4.535e-17 1.2193e-04 b_brand_BestValue_best 3.2726e-04 -8.300e-15 b_brand_worstValue_worst -2.091e-15 4.8866e-04 b_brand_Supermarket_best 2.9919e-04 -9.107e-15 b_brand_Supermarket_worst -1.813e-15 4.7511e-04 b_brand_PainAway_best 3.8506e-04 -7.289e-15 b_brand_PainAway_worst -1.327e-15 4.8892e-04 b_country_CH_best -7.871e-05 -1.347e-15 b_country_CH_worst -2.963e-15 -1.7710e-04 b_country_DK_best -2.947e-05 -5.455e-16 b_country_DK_worst -1.364e-15 -1.116e-05 b_country_IND_best 3.306e-05 7.976e-15 b_country_IND_worst -8.807e-16 6.013e-05 b_country_RUS_best 4.210e-05 5.414e-15 b_country_RUS_worst -1.366e-15 1.1422e-04 b_country_BRA_best 7.202e-05 6.111e-15 b_country_BRA_worst -9.951e-16 1.3300e-04 b_char_fast_best -6.687e-05 7.901e-17 b_char_fast_worst -6.771e-16 -1.1795e-04 b_char_double_best -1.0604e-04 -1.099e-15 b_char_double_worst -2.660e-16 -1.1134e-04 b_risk_best 1.172e-07 3.138e-18 b_risk_worst -2.218e-19 1.533e-07 b_price_best 3.1443e-04 -6.118e-16 b_price_worst -6.118e-16 3.8197e-04 Robust covariance matrix: b_brand_Novum_best b_brand_Novum_worst b_brand_BestValue_best b_brand_Novum_best 9.7504e-04 -4.798e-05 4.5007e-04 b_brand_Novum_worst -4.798e-05 0.001729 -1.8460e-04 b_brand_BestValue_best 4.5007e-04 -1.8460e-04 0.003966 b_brand_worstValue_worst -6.125e-05 0.001149 4.737e-05 b_brand_Supermarket_best 5.6058e-04 -5.652e-05 0.002895 b_brand_Supermarket_worst -3.950e-05 0.001229 1.0843e-04 b_brand_PainAway_best 4.1297e-04 1.255e-05 0.002630 b_brand_PainAway_worst -4.673e-05 0.001156 1.2906e-04 b_country_CH_best -1.1109e-04 -7.892e-05 5.7082e-04 b_country_CH_worst -8.874e-06 -1.2268e-04 1.088e-05 b_country_DK_best -4.496e-05 -9.779e-05 4.5966e-04 b_country_DK_worst 1.917e-05 -1.3249e-04 5.090e-05 b_country_IND_best -7.218e-05 1.0514e-04 -0.001551 b_country_IND_worst 2.055e-06 3.764e-05 2.237e-05 b_country_RUS_best -6.120e-05 1.1634e-04 -0.001664 b_country_RUS_worst -4.519e-06 1.834e-05 1.729e-05 b_country_BRA_best 2.379e-05 7.697e-05 -0.001461 b_country_BRA_worst 4.648e-05 1.616e-05 -3.908e-05 b_char_fast_best -5.244e-05 -1.170e-05 -1.207e-05 b_char_fast_worst 1.456e-05 -6.370e-05 -2.858e-06 b_char_double_best -9.394e-06 -4.222e-05 3.1122e-04 b_char_double_worst 2.534e-05 1.7183e-04 -1.9517e-04 b_risk_best 1.190e-07 -1.344e-07 -5.209e-07 b_risk_worst -4.144e-08 -6.143e-08 -7.486e-09 b_price_best 3.764e-05 5.816e-06 3.2054e-04 b_price_worst -1.348e-05 1.4085e-04 -6.296e-05 b_brand_worstValue_worst b_brand_Supermarket_best b_brand_Supermarket_worst b_brand_Novum_best -6.125e-05 5.6058e-04 -3.950e-05 b_brand_Novum_worst 0.001149 -5.652e-05 0.001229 b_brand_BestValue_best 4.737e-05 0.002895 1.0843e-04 b_brand_worstValue_worst 0.004757 1.7813e-04 0.004219 b_brand_Supermarket_best 1.7813e-04 0.004365 2.5305e-04 b_brand_Supermarket_worst 0.004219 2.5305e-04 0.005321 b_brand_PainAway_best 8.117e-05 0.002849 3.953e-05 b_brand_PainAway_worst 0.004125 2.6008e-04 0.004274 b_country_CH_best -7.850e-05 6.0842e-04 -9.511e-05 b_country_CH_worst 0.001260 -1.927e-05 0.001367 b_country_DK_best -1.4400e-04 5.7064e-04 -1.8287e-04 b_country_DK_worst 0.001408 8.246e-05 0.001434 b_country_IND_best 2.1846e-04 -0.001603 1.7731e-04 b_country_IND_worst -0.001240 2.791e-05 -0.001230 b_country_RUS_best 1.1461e-04 -0.001605 3.218e-05 b_country_RUS_worst -0.001137 -4.491e-06 -0.001164 b_country_BRA_best 1.1620e-04 -0.001835 5.519e-05 b_country_BRA_worst -0.001172 5.611e-05 -0.001231 b_char_fast_best 9.990e-06 1.1876e-04 1.051e-05 b_char_fast_worst -7.863e-05 -1.445e-07 -3.042e-05 b_char_double_best 8.876e-06 3.6971e-04 5.688e-05 b_char_double_worst 4.3048e-04 -2.0374e-04 6.1894e-04 b_risk_best 6.260e-08 -6.423e-07 5.221e-08 b_risk_worst -4.812e-07 -3.825e-08 -5.740e-07 b_price_best -2.858e-05 2.9534e-04 -2.394e-05 b_price_worst 5.3286e-04 -7.943e-05 5.1815e-04 b_brand_PainAway_best b_brand_PainAway_worst b_country_CH_best b_brand_Novum_best 4.1297e-04 -4.673e-05 -1.1109e-04 b_brand_Novum_worst 1.255e-05 0.001156 -7.892e-05 b_brand_BestValue_best 0.002630 1.2906e-04 5.7082e-04 b_brand_worstValue_worst 8.117e-05 0.004125 -7.850e-05 b_brand_Supermarket_best 0.002849 2.6008e-04 6.0842e-04 b_brand_Supermarket_worst 3.953e-05 0.004274 -9.511e-05 b_brand_PainAway_best 0.004109 1.2458e-04 4.6797e-04 b_brand_PainAway_worst 1.2458e-04 0.005034 -1.836e-05 b_country_CH_best 4.6797e-04 -1.836e-05 0.001447 b_country_CH_worst 7.853e-06 0.001383 4.184e-07 b_country_DK_best 4.7548e-04 -7.895e-05 6.5935e-04 b_country_DK_worst -3.909e-05 0.001548 4.426e-05 b_country_IND_best -0.001317 2.8009e-04 -2.231e-05 b_country_IND_worst 1.1316e-04 -0.001324 4.335e-05 b_country_RUS_best -0.001435 7.520e-05 -1.4534e-04 b_country_RUS_worst 1.0692e-04 -0.001214 1.104e-05 b_country_BRA_best -0.001357 1.2898e-04 -8.616e-05 b_country_BRA_worst 5.858e-05 -0.001265 -5.562e-06 b_char_fast_best -4.831e-05 -1.110e-05 1.0154e-04 b_char_fast_worst 1.0058e-04 -1.7527e-04 1.307e-06 b_char_double_best 1.5740e-04 4.447e-05 1.0687e-04 b_char_double_worst -1.0926e-04 4.4332e-04 -4.817e-06 b_risk_best -3.210e-07 3.838e-08 1.979e-08 b_risk_worst -2.246e-08 -3.798e-07 5.059e-08 b_price_best 3.7437e-04 -1.595e-05 -7.239e-05 b_price_worst -9.635e-05 5.0679e-04 1.088e-05 b_country_CH_worst b_country_DK_best b_country_DK_worst b_brand_Novum_best -8.874e-06 -4.496e-05 1.917e-05 b_brand_Novum_worst -1.2268e-04 -9.779e-05 -1.3249e-04 b_brand_BestValue_best 1.088e-05 4.5966e-04 5.090e-05 b_brand_worstValue_worst 0.001260 -1.4400e-04 0.001408 b_brand_Supermarket_best -1.927e-05 5.7064e-04 8.246e-05 b_brand_Supermarket_worst 0.001367 -1.8287e-04 0.001434 b_brand_PainAway_best 7.853e-06 4.7548e-04 -3.909e-05 b_brand_PainAway_worst 0.001383 -7.895e-05 0.001548 b_country_CH_best 4.184e-07 6.5935e-04 4.426e-05 b_country_CH_worst 0.002944 -6.010e-05 0.001411 b_country_DK_best -6.010e-05 0.001347 5.924e-06 b_country_DK_worst 0.001411 5.924e-06 0.002726 b_country_IND_best 9.035e-05 6.341e-05 3.696e-05 b_country_IND_worst -3.2097e-04 2.240e-05 -6.441e-05 b_country_RUS_best -7.674e-05 -1.285e-05 -1.3353e-04 b_country_RUS_worst -1.7459e-04 8.255e-05 -1.4555e-04 b_country_BRA_best 2.295e-05 -2.901e-06 7.396e-06 b_country_BRA_worst -2.3129e-04 1.082e-06 -2.3713e-04 b_char_fast_best -6.376e-05 1.094e-05 -5.421e-06 b_char_fast_worst 1.4356e-04 -7.057e-06 1.1551e-04 b_char_double_best -1.641e-05 4.426e-06 6.046e-06 b_char_double_worst 4.232e-05 8.225e-06 -6.346e-05 b_risk_best 1.061e-07 1.125e-07 1.249e-07 b_risk_worst -7.433e-08 4.689e-08 -1.795e-08 b_price_best 2.642e-05 -3.426e-05 1.234e-05 b_price_worst -1.4705e-04 5.731e-07 5.400e-05 b_country_IND_best b_country_IND_worst b_country_RUS_best b_brand_Novum_best -7.218e-05 2.055e-06 -6.120e-05 b_brand_Novum_worst 1.0514e-04 3.764e-05 1.1634e-04 b_brand_BestValue_best -0.001551 2.237e-05 -0.001664 b_brand_worstValue_worst 2.1846e-04 -0.001240 1.1461e-04 b_brand_Supermarket_best -0.001603 2.791e-05 -0.001605 b_brand_Supermarket_worst 1.7731e-04 -0.001230 3.218e-05 b_brand_PainAway_best -0.001317 1.1316e-04 -0.001435 b_brand_PainAway_worst 2.8009e-04 -0.001324 7.520e-05 b_country_CH_best -2.231e-05 4.335e-05 -1.4534e-04 b_country_CH_worst 9.035e-05 -3.2097e-04 -7.674e-05 b_country_DK_best 6.341e-05 2.240e-05 -1.285e-05 b_country_DK_worst 3.696e-05 -6.441e-05 -1.3353e-04 b_country_IND_best 0.003175 2.724e-05 0.001317 b_country_IND_worst 2.724e-05 0.002421 -4.796e-05 b_country_RUS_best 0.001317 -4.796e-05 0.003470 b_country_RUS_worst 7.591e-05 0.001157 1.564e-05 b_country_BRA_best 0.001665 -7.489e-05 0.001713 b_country_BRA_worst -1.344e-06 0.001276 3.590e-05 b_char_fast_best -1.2561e-04 1.618e-05 -1.4588e-04 b_char_fast_worst -3.252e-05 -8.813e-05 -3.716e-05 b_char_double_best -5.715e-05 -1.6543e-04 -8.701e-05 b_char_double_worst 1.8013e-04 -1.7280e-04 8.539e-05 b_risk_best 3.047e-07 9.297e-09 2.187e-07 b_risk_worst 4.116e-08 -7.258e-08 5.977e-09 b_price_best 4.109e-05 2.022e-05 1.037e-05 b_price_worst 4.327e-05 7.710e-05 2.716e-05 b_country_RUS_worst b_country_BRA_best b_country_BRA_worst b_brand_Novum_best -4.519e-06 2.379e-05 4.648e-05 b_brand_Novum_worst 1.834e-05 7.697e-05 1.616e-05 b_brand_BestValue_best 1.729e-05 -0.001461 -3.908e-05 b_brand_worstValue_worst -0.001137 1.1620e-04 -0.001172 b_brand_Supermarket_best -4.491e-06 -0.001835 5.611e-05 b_brand_Supermarket_worst -0.001164 5.519e-05 -0.001231 b_brand_PainAway_best 1.0692e-04 -0.001357 5.858e-05 b_brand_PainAway_worst -0.001214 1.2898e-04 -0.001265 b_country_CH_best 1.104e-05 -8.616e-05 -5.562e-06 b_country_CH_worst -1.7459e-04 2.295e-05 -2.3129e-04 b_country_DK_best 8.255e-05 -2.901e-06 1.082e-06 b_country_DK_worst -1.4555e-04 7.396e-06 -2.3713e-04 b_country_IND_best 7.591e-05 0.001665 -1.344e-06 b_country_IND_worst 0.001157 -7.489e-05 0.001276 b_country_RUS_best 1.564e-05 0.001713 3.590e-05 b_country_RUS_worst 0.002008 -3.815e-05 0.001236 b_country_BRA_best -3.815e-05 0.003557 -6.371e-05 b_country_BRA_worst 0.001236 -6.371e-05 0.002357 b_char_fast_best -4.165e-05 -1.8791e-04 -2.044e-07 b_char_fast_worst -1.4564e-04 -2.426e-05 -8.939e-05 b_char_double_best -1.3585e-04 -1.3930e-04 -1.4328e-04 b_char_double_worst -6.043e-05 9.911e-05 -1.1520e-04 b_risk_best -2.083e-08 1.329e-07 -2.702e-08 b_risk_worst 1.898e-07 4.132e-08 2.803e-08 b_price_best 4.671e-05 5.608e-05 2.198e-05 b_price_worst 1.0411e-04 2.475e-05 1.2563e-04 b_char_fast_best b_char_fast_worst b_char_double_best b_brand_Novum_best -5.244e-05 1.456e-05 -9.394e-06 b_brand_Novum_worst -1.170e-05 -6.370e-05 -4.222e-05 b_brand_BestValue_best -1.207e-05 -2.858e-06 3.1122e-04 b_brand_worstValue_worst 9.990e-06 -7.863e-05 8.876e-06 b_brand_Supermarket_best 1.1876e-04 -1.445e-07 3.6971e-04 b_brand_Supermarket_worst 1.051e-05 -3.042e-05 5.688e-05 b_brand_PainAway_best -4.831e-05 1.0058e-04 1.5740e-04 b_brand_PainAway_worst -1.110e-05 -1.7527e-04 4.447e-05 b_country_CH_best 1.0154e-04 1.307e-06 1.0687e-04 b_country_CH_worst -6.376e-05 1.4356e-04 -1.641e-05 b_country_DK_best 1.094e-05 -7.057e-06 4.426e-06 b_country_DK_worst -5.421e-06 1.1551e-04 6.046e-06 b_country_IND_best -1.2561e-04 -3.252e-05 -5.715e-05 b_country_IND_worst 1.618e-05 -8.813e-05 -1.6543e-04 b_country_RUS_best -1.4588e-04 -3.716e-05 -8.701e-05 b_country_RUS_worst -4.165e-05 -1.4564e-04 -1.3585e-04 b_country_BRA_best -1.8791e-04 -2.426e-05 -1.3930e-04 b_country_BRA_worst -2.044e-07 -8.939e-05 -1.4328e-04 b_char_fast_best 7.7595e-04 -2.288e-05 4.3529e-04 b_char_fast_worst -2.288e-05 8.0991e-04 1.659e-05 b_char_double_best 4.3529e-04 1.659e-05 0.001274 b_char_double_worst -3.896e-05 3.8148e-04 -8.458e-05 b_risk_best -1.318e-07 9.795e-09 6.845e-10 b_risk_worst 6.877e-08 -4.048e-08 2.622e-08 b_price_best -6.635e-05 -1.254e-06 -1.0974e-04 b_price_worst 2.400e-05 -1.2086e-04 1.712e-06 b_char_double_worst b_risk_best b_risk_worst b_brand_Novum_best 2.534e-05 1.190e-07 -4.144e-08 b_brand_Novum_worst 1.7183e-04 -1.344e-07 -6.143e-08 b_brand_BestValue_best -1.9517e-04 -5.209e-07 -7.486e-09 b_brand_worstValue_worst 4.3048e-04 6.260e-08 -4.812e-07 b_brand_Supermarket_best -2.0374e-04 -6.423e-07 -3.825e-08 b_brand_Supermarket_worst 6.1894e-04 5.221e-08 -5.740e-07 b_brand_PainAway_best -1.0926e-04 -3.210e-07 -2.246e-08 b_brand_PainAway_worst 4.4332e-04 3.838e-08 -3.798e-07 b_country_CH_best -4.817e-06 1.979e-08 5.059e-08 b_country_CH_worst 4.232e-05 1.061e-07 -7.433e-08 b_country_DK_best 8.225e-06 1.125e-07 4.689e-08 b_country_DK_worst -6.346e-05 1.249e-07 -1.795e-08 b_country_IND_best 1.8013e-04 3.047e-07 4.116e-08 b_country_IND_worst -1.7280e-04 9.297e-09 -7.258e-08 b_country_RUS_best 8.539e-05 2.187e-07 5.977e-09 b_country_RUS_worst -6.043e-05 -2.083e-08 1.898e-07 b_country_BRA_best 9.911e-05 1.329e-07 4.132e-08 b_country_BRA_worst -1.1520e-04 -2.702e-08 2.803e-08 b_char_fast_best -3.896e-05 -1.318e-07 6.877e-08 b_char_fast_worst 3.8148e-04 9.795e-09 -4.048e-08 b_char_double_best -8.458e-05 6.845e-10 2.622e-08 b_char_double_worst 0.002673 1.071e-07 -4.153e-08 b_risk_best 1.071e-07 3.304e-09 -1.019e-10 b_risk_worst -4.153e-08 -1.019e-10 1.265e-09 b_price_best 2.028e-05 9.904e-08 -3.108e-09 b_price_worst -1.0729e-04 -2.634e-08 8.875e-08 b_price_best b_price_worst b_brand_Novum_best 3.764e-05 -1.348e-05 b_brand_Novum_worst 5.816e-06 1.4085e-04 b_brand_BestValue_best 3.2054e-04 -6.296e-05 b_brand_worstValue_worst -2.858e-05 5.3286e-04 b_brand_Supermarket_best 2.9534e-04 -7.943e-05 b_brand_Supermarket_worst -2.394e-05 5.1815e-04 b_brand_PainAway_best 3.7437e-04 -9.635e-05 b_brand_PainAway_worst -1.595e-05 5.0679e-04 b_country_CH_best -7.239e-05 1.088e-05 b_country_CH_worst 2.642e-05 -1.4705e-04 b_country_DK_best -3.426e-05 5.731e-07 b_country_DK_worst 1.234e-05 5.400e-05 b_country_IND_best 4.109e-05 4.327e-05 b_country_IND_worst 2.022e-05 7.710e-05 b_country_RUS_best 1.037e-05 2.716e-05 b_country_RUS_worst 4.671e-05 1.0411e-04 b_country_BRA_best 5.608e-05 2.475e-05 b_country_BRA_worst 2.198e-05 1.2563e-04 b_char_fast_best -6.635e-05 2.400e-05 b_char_fast_worst -1.254e-06 -1.2086e-04 b_char_double_best -1.0974e-04 1.712e-06 b_char_double_worst 2.028e-05 -1.0729e-04 b_risk_best 9.904e-08 -2.634e-08 b_risk_worst -3.108e-09 8.875e-08 b_price_best 2.8798e-04 -2.243e-05 b_price_worst -2.243e-05 3.7175e-04 Classical correlation matrix: b_brand_Novum_best b_brand_Novum_worst b_brand_BestValue_best b_brand_Novum_best 1.000000 -9.535e-13 0.2437 b_brand_Novum_worst -9.535e-13 1.00000 -6.482e-12 b_brand_BestValue_best 0.243663 -6.482e-12 1.0000 b_brand_worstValue_worst 2.793e-13 0.39943 -7.806e-12 b_brand_Supermarket_best 0.297272 -6.220e-12 0.6941 b_brand_Supermarket_worst 1.834e-12 0.40178 -6.719e-12 b_brand_PainAway_best 0.257101 -5.900e-12 0.6200 b_brand_PainAway_worst 1.291e-12 0.40145 -6.571e-12 b_country_CH_best -0.053734 -3.990e-12 0.3113 b_country_CH_worst -1.201e-12 -0.07517 -7.331e-12 b_country_DK_best -0.046709 -1.507e-12 0.2866 b_country_DK_worst -7.129e-13 -0.06370 -7.963e-12 b_country_IND_best -0.030435 5.709e-12 -0.4272 b_country_IND_worst -4.936e-12 -0.02398 -5.899e-12 b_country_RUS_best -0.037164 2.283e-12 -0.4107 b_country_RUS_worst -3.509e-12 0.01854 -6.506e-12 b_country_BRA_best -0.003843 4.609e-12 -0.3767 b_country_BRA_worst -4.173e-12 0.01537 -4.461e-12 b_char_fast_best 0.015054 -1.512e-13 6.7143e-04 b_char_fast_worst -1.813e-12 -0.03471 -2.750e-12 b_char_double_best 0.065062 -3.311e-12 0.1786 b_char_double_worst -1.331e-13 0.06952 -1.003e-12 b_risk_best 0.001137 2.336e-12 -0.1979 b_risk_worst -7.191e-13 0.03296 -8.077e-13 b_price_best 0.063981 5.965e-14 0.3027 b_price_worst -8.867e-13 0.14552 -6.964e-12 b_brand_worstValue_worst b_brand_Supermarket_best b_brand_Supermarket_worst b_brand_Novum_best 2.793e-13 0.29727 1.834e-12 b_brand_Novum_worst 0.39943 -6.220e-12 0.401776 b_brand_BestValue_best -7.806e-12 0.69411 -6.719e-12 b_brand_worstValue_worst 1.00000 -9.659e-12 0.815673 b_brand_Supermarket_best -9.659e-12 1.00000 -8.141e-12 b_brand_Supermarket_worst 0.81567 -8.141e-12 1.000000 b_brand_PainAway_best -5.657e-12 0.63045 -4.843e-12 b_brand_PainAway_worst 0.82465 -8.097e-12 0.817417 b_country_CH_best -3.760e-12 0.30362 -3.262e-12 b_country_CH_worst 0.30850 -8.794e-12 0.313620 b_country_DK_best -3.020e-12 0.29936 -2.540e-12 b_country_DK_worst 0.36653 -8.582e-12 0.361110 b_country_IND_best 6.480e-12 -0.43843 6.275e-12 b_country_IND_worst -0.37424 -3.691e-12 -0.357643 b_country_RUS_best 5.229e-12 -0.41723 4.887e-12 b_country_RUS_worst -0.35989 -5.004e-12 -0.349371 b_country_BRA_best 5.159e-12 -0.44164 4.923e-12 b_country_BRA_worst -0.34499 -3.153e-12 -0.356891 b_char_fast_best -2.766e-12 0.06167 -2.493e-12 b_char_fast_worst 0.01056 -4.301e-12 0.008179 b_char_double_best -2.812e-12 0.21148 -2.140e-12 b_char_double_worst 0.16604 -1.373e-12 0.182255 b_risk_best 3.667e-12 -0.20703 3.317e-12 b_risk_worst -0.13735 -1.472e-12 -0.169228 b_price_best -1.788e-12 0.27214 -1.518e-12 b_price_worst 0.37912 -7.515e-12 0.360949 b_brand_PainAway_best b_brand_PainAway_worst b_country_CH_best b_brand_Novum_best 0.25710 1.291e-12 -0.053734 b_brand_Novum_worst -5.900e-12 0.40145 -3.990e-12 b_brand_BestValue_best 0.61996 -6.571e-12 0.311346 b_brand_worstValue_worst -5.657e-12 0.82465 -3.760e-12 b_brand_Supermarket_best 0.63045 -8.097e-12 0.303618 b_brand_Supermarket_worst -4.843e-12 0.81742 -3.262e-12 b_brand_PainAway_best 1.00000 -4.364e-12 0.245203 b_brand_PainAway_worst -4.364e-12 1.00000 -3.480e-12 b_country_CH_best 0.24520 -3.480e-12 1.000000 b_country_CH_worst -4.838e-12 0.32393 3.546e-13 b_country_DK_best 0.24566 -2.769e-12 0.496771 b_country_DK_worst -3.698e-12 0.38581 4.233e-12 b_country_IND_best -0.37968 6.203e-12 0.004140 b_country_IND_worst -5.487e-12 -0.38040 7.003e-12 b_country_RUS_best -0.34614 4.619e-12 -0.028291 b_country_RUS_worst -5.988e-12 -0.36353 2.526e-12 b_country_BRA_best -0.36259 4.655e-12 -0.036568 b_country_BRA_worst -4.418e-12 -0.36085 3.188e-12 b_char_fast_best -0.03172 -3.045e-12 0.068252 b_char_fast_worst -2.172e-12 -0.05909 -9.255e-13 b_char_double_best 0.13670 -2.417e-12 0.083520 b_char_double_worst -1.439e-12 0.15812 -4.830e-13 b_risk_best -0.06966 3.268e-12 -0.061254 b_risk_worst -7.038e-13 -0.08301 -9.617e-13 b_price_best 0.34904 -1.131e-12 -0.113415 b_price_worst -5.995e-12 0.37815 -1.762e-12 b_country_CH_worst b_country_DK_best b_country_DK_worst b_brand_Novum_best -1.201e-12 -0.046709 -7.129e-13 b_brand_Novum_worst -0.07517 -1.507e-12 -0.063700 b_brand_BestValue_best -7.331e-12 0.286576 -7.963e-12 b_brand_worstValue_worst 0.30850 -3.020e-12 0.366533 b_brand_Supermarket_best -8.794e-12 0.299363 -8.582e-12 b_brand_Supermarket_worst 0.31362 -2.540e-12 0.361110 b_brand_PainAway_best -4.838e-12 0.245665 -3.698e-12 b_brand_PainAway_worst 0.32393 -2.769e-12 0.385806 b_country_CH_best 3.546e-13 0.496771 4.233e-12 b_country_CH_worst 1.00000 -1.529e-12 0.473693 b_country_DK_best -1.529e-12 1.000000 1.394e-12 b_country_DK_worst 0.47369 1.394e-12 1.000000 b_country_IND_best 5.740e-12 0.043369 1.079e-11 b_country_IND_worst -0.08169 4.413e-12 -0.022083 b_country_RUS_best 5.201e-12 0.004773 8.658e-12 b_country_RUS_worst -0.06958 2.020e-12 -0.033660 b_country_BRA_best 5.260e-12 0.001868 6.817e-12 b_country_BRA_worst -0.09573 2.348e-12 -0.087023 b_char_fast_best -5.753e-13 0.030266 -3.824e-12 b_char_fast_worst 0.14143 -4.383e-13 0.120480 b_char_double_best -7.162e-13 0.021428 -1.914e-12 b_char_double_worst 0.03132 -4.348e-14 0.007745 b_risk_best 3.116e-12 -0.024680 4.697e-12 b_risk_worst -0.03362 3.004e-13 -0.024486 b_price_best -3.130e-12 -0.044112 -1.509e-12 b_price_worst -0.16973 -7.410e-13 -0.011201 b_country_IND_best b_country_IND_worst b_country_RUS_best b_brand_Novum_best -0.030435 -4.936e-12 -0.037164 b_brand_Novum_worst 5.709e-12 -0.02398 2.283e-12 b_brand_BestValue_best -0.427242 -5.899e-12 -0.410699 b_brand_worstValue_worst 6.480e-12 -0.37424 5.229e-12 b_brand_Supermarket_best -0.438429 -3.691e-12 -0.417234 b_brand_Supermarket_worst 6.275e-12 -0.35764 4.887e-12 b_brand_PainAway_best -0.379681 -5.487e-12 -0.346142 b_brand_PainAway_worst 6.203e-12 -0.38040 4.619e-12 b_country_CH_best 0.004140 7.003e-12 -0.028291 b_country_CH_worst 5.740e-12 -0.08169 5.201e-12 b_country_DK_best 0.043369 4.413e-12 0.004773 b_country_DK_worst 1.079e-11 -0.02208 8.658e-12 b_country_IND_best 1.000000 9.219e-12 0.445415 b_country_IND_worst 9.219e-12 1.00000 3.598e-12 b_country_RUS_best 0.445415 3.598e-12 1.000000 b_country_RUS_worst 7.036e-12 0.53202 3.929e-12 b_country_BRA_best 0.466380 6.103e-12 0.420094 b_country_BRA_worst 5.405e-12 0.54339 1.882e-12 b_char_fast_best -0.062865 3.956e-12 -0.062613 b_char_fast_worst 6.816e-13 -0.05275 1.918e-12 b_char_double_best -0.032130 -4.330e-13 -0.028124 b_char_double_worst 7.282e-13 -0.01304 5.597e-13 b_risk_best 0.052468 1.971e-12 0.050832 b_risk_worst 1.121e-12 -0.03163 1.005e-12 b_price_best 0.033578 -1.034e-12 0.039427 b_price_worst 7.349e-12 0.06406 4.599e-12 b_country_RUS_worst b_country_BRA_best b_country_BRA_worst b_brand_Novum_best -3.509e-12 -0.003843 -4.173e-12 b_brand_Novum_worst 0.01854 4.609e-12 0.015366 b_brand_BestValue_best -6.506e-12 -0.376743 -4.461e-12 b_brand_worstValue_worst -0.35989 5.159e-12 -0.344988 b_brand_Supermarket_best -5.004e-12 -0.441639 -3.153e-12 b_brand_Supermarket_worst -0.34937 4.923e-12 -0.356891 b_brand_PainAway_best -5.988e-12 -0.362593 -4.418e-12 b_brand_PainAway_worst -0.36353 4.655e-12 -0.360852 b_country_CH_best 2.526e-12 -0.036568 3.188e-12 b_country_CH_worst -0.06958 5.260e-12 -0.095734 b_country_DK_best 2.020e-12 0.001868 2.348e-12 b_country_DK_worst -0.03366 6.817e-12 -0.087023 b_country_IND_best 7.036e-12 0.466380 5.405e-12 b_country_IND_worst 0.53202 6.103e-12 0.543391 b_country_RUS_best 3.929e-12 0.420094 1.882e-12 b_country_RUS_worst 1.00000 5.728e-12 0.556774 b_country_BRA_best 5.728e-12 1.000000 3.707e-12 b_country_BRA_worst 0.55677 3.707e-12 1.000000 b_char_fast_best 2.462e-12 -0.072451 2.939e-12 b_char_fast_worst -0.10886 1.818e-12 -0.068898 b_char_double_best -8.282e-13 -0.044937 -4.668e-13 b_char_double_worst -0.03183 1.225e-12 -0.044963 b_risk_best 1.927e-12 0.028991 2.065e-12 b_risk_worst 0.08583 1.090e-12 0.002939 b_price_best -1.699e-12 0.069799 -1.186e-12 b_price_worst 0.12884 5.373e-12 0.143872 b_char_fast_best b_char_fast_worst b_char_double_best b_brand_Novum_best 0.01505 -1.813e-12 0.06506 b_brand_Novum_worst -1.512e-13 -0.034712 -3.311e-12 b_brand_BestValue_best 6.7143e-04 -2.750e-12 0.17858 b_brand_worstValue_worst -2.766e-12 0.010562 -2.812e-12 b_brand_Supermarket_best 0.06167 -4.301e-12 0.21148 b_brand_Supermarket_worst -2.493e-12 0.008179 -2.140e-12 b_brand_PainAway_best -0.03172 -2.172e-12 0.13670 b_brand_PainAway_worst -3.045e-12 -0.059092 -2.417e-12 b_country_CH_best 0.06825 -9.255e-13 0.08352 b_country_CH_worst -5.753e-13 0.141427 -7.162e-13 b_country_DK_best 0.03027 -4.383e-13 0.02143 b_country_DK_worst -3.824e-12 0.120480 -1.914e-12 b_country_IND_best -0.06287 6.816e-13 -0.03213 b_country_IND_worst 3.956e-12 -0.052753 -4.330e-13 b_country_RUS_best -0.06261 1.918e-12 -0.02812 b_country_RUS_worst 2.462e-12 -0.108860 -8.282e-13 b_country_BRA_best -0.07245 1.818e-12 -0.04494 b_country_BRA_worst 2.939e-12 -0.068898 -4.668e-13 b_char_fast_best 1.00000 -1.080e-12 0.45285 b_char_fast_worst -1.080e-12 1.000000 -1.676e-12 b_char_double_best 0.45285 -1.676e-12 1.00000 b_char_double_worst -9.646e-13 0.243685 -1.439e-12 b_risk_best -0.07500 7.370e-13 -0.04468 b_risk_worst 2.253e-13 -0.085564 7.870e-14 b_price_best -0.13253 -1.335e-12 -0.16229 b_price_worst 1.421e-13 -0.211039 -1.526e-12 b_char_double_worst b_risk_best b_risk_worst b_brand_Novum_best -1.331e-13 0.001137 -7.191e-13 b_brand_Novum_worst 0.069523 2.336e-12 0.032959 b_brand_BestValue_best -1.003e-12 -0.197856 -8.077e-13 b_brand_worstValue_worst 0.166042 3.667e-12 -0.137354 b_brand_Supermarket_best -1.373e-12 -0.207031 -1.472e-12 b_brand_Supermarket_worst 0.182255 3.317e-12 -0.169228 b_brand_PainAway_best -1.439e-12 -0.069659 -7.038e-13 b_brand_PainAway_worst 0.158119 3.268e-12 -0.083014 b_country_CH_best -4.830e-13 -0.061254 -9.617e-13 b_country_CH_worst 0.031323 3.116e-12 -0.033617 b_country_DK_best -4.348e-14 -0.024680 3.004e-13 b_country_DK_worst 0.007745 4.697e-12 -0.024486 b_country_IND_best 7.282e-13 0.052468 1.121e-12 b_country_IND_worst -0.013045 1.971e-12 -0.031632 b_country_RUS_best 5.597e-13 0.050832 1.005e-12 b_country_RUS_worst -0.031828 1.927e-12 0.085827 b_country_BRA_best 1.225e-12 0.028991 1.090e-12 b_country_BRA_worst -0.044963 2.065e-12 0.002939 b_char_fast_best -9.646e-13 -0.074998 2.253e-13 b_char_fast_worst 0.243685 7.370e-13 -0.085564 b_char_double_best -1.439e-12 -0.044685 7.870e-14 b_char_double_worst 1.000000 2.425e-13 -0.035762 b_risk_best 2.425e-13 1.000000 -2.558e-13 b_risk_worst -0.035762 -2.558e-13 1.000000 b_price_best -2.882e-13 0.115956 -3.481e-13 b_price_worst -0.109441 2.817e-12 0.218279 b_price_best b_price_worst b_brand_Novum_best 0.06398 -8.867e-13 b_brand_Novum_worst 5.965e-14 0.14552 b_brand_BestValue_best 0.30266 -6.964e-12 b_brand_worstValue_worst -1.788e-12 0.37912 b_brand_Supermarket_best 0.27214 -7.515e-12 b_brand_Supermarket_worst -1.518e-12 0.36095 b_brand_PainAway_best 0.34904 -5.995e-12 b_brand_PainAway_worst -1.131e-12 0.37815 b_country_CH_best -0.11341 -1.762e-12 b_country_CH_worst -3.130e-12 -0.16973 b_country_DK_best -0.04411 -7.410e-13 b_country_DK_worst -1.509e-12 -0.01120 b_country_IND_best 0.03358 7.349e-12 b_country_IND_worst -1.034e-12 0.06406 b_country_RUS_best 0.03943 4.599e-12 b_country_RUS_worst -1.699e-12 0.12884 b_country_BRA_best 0.06980 5.373e-12 b_country_BRA_worst -1.186e-12 0.14387 b_char_fast_best -0.13253 1.421e-13 b_char_fast_worst -1.335e-12 -0.21104 b_char_double_best -0.16229 -1.526e-12 b_char_double_worst -2.882e-13 -0.10944 b_risk_best 0.11596 2.817e-12 b_risk_worst -3.481e-13 0.21828 b_price_best 1.00000 -1.765e-12 b_price_worst -1.765e-12 1.00000 Robust correlation matrix: b_brand_Novum_best b_brand_Novum_worst b_brand_BestValue_best b_brand_Novum_best 1.000000 -0.036952 0.228872 b_brand_Novum_worst -0.036952 1.000000 -0.070491 b_brand_BestValue_best 0.228872 -0.070491 1.000000 b_brand_worstValue_worst -0.028438 0.400539 0.010907 b_brand_Supermarket_best 0.271717 -0.020570 0.695656 b_brand_Supermarket_worst -0.017342 0.405257 0.023602 b_brand_PainAway_best 0.206313 0.004708 0.651440 b_brand_PainAway_worst -0.021091 0.391643 0.028884 b_country_CH_best -0.093544 -0.049901 0.238323 b_country_CH_worst -0.005237 -0.054371 0.003183 b_country_DK_best -0.039232 -0.064079 0.198888 b_country_DK_worst 0.011759 -0.061023 0.015479 b_country_IND_best -0.041025 0.044871 -0.437146 b_country_IND_worst 0.001337 0.018398 0.007219 b_country_RUS_best -0.033271 0.047493 -0.448478 b_country_RUS_worst -0.003229 0.009842 0.006125 b_country_BRA_best 0.012772 0.031033 -0.389085 b_country_BRA_worst 0.030662 0.008004 -0.012782 b_char_fast_best -0.060289 -0.010099 -0.006880 b_char_fast_worst 0.016385 -0.053828 -0.001595 b_char_double_best -0.008427 -0.028442 0.138431 b_char_double_worst 0.015699 0.079927 -0.059945 b_risk_best 0.066328 -0.056244 -0.143917 b_risk_worst -0.037312 -0.041531 -0.003342 b_price_best 0.071027 0.008241 0.299929 b_price_worst -0.022390 0.175678 -0.051848 b_brand_worstValue_worst b_brand_Supermarket_best b_brand_Supermarket_worst b_brand_Novum_best -0.028438 0.271717 -0.017342 b_brand_Novum_worst 0.400539 -0.020570 0.405257 b_brand_BestValue_best 0.010907 0.695656 0.023602 b_brand_worstValue_worst 1.000000 0.039090 0.838591 b_brand_Supermarket_best 0.039090 1.000000 0.052503 b_brand_Supermarket_worst 0.838591 0.052503 1.000000 b_brand_PainAway_best 0.018360 0.672676 0.008453 b_brand_PainAway_worst 0.842958 0.055480 0.825784 b_country_CH_best -0.029926 0.242119 -0.034282 b_country_CH_worst 0.336703 -0.005374 0.345384 b_country_DK_best -0.056892 0.235340 -0.068310 b_country_DK_worst 0.391065 0.023903 0.376519 b_country_IND_best 0.056214 -0.430710 0.043138 b_country_IND_worst -0.365489 0.008585 -0.342574 b_country_RUS_best 0.028209 -0.412476 0.007489 b_country_RUS_worst -0.367844 -0.001517 -0.355951 b_country_BRA_best 0.028247 -0.465527 0.012686 b_country_BRA_worst -0.349998 0.017494 -0.347486 b_char_fast_best 0.005200 0.064526 0.005171 b_char_fast_worst -0.040060 -7.687e-05 -0.014653 b_char_double_best 0.003605 0.156746 0.021842 b_char_double_worst 0.120726 -0.059645 0.164116 b_risk_best 0.015790 -0.169137 0.012453 b_risk_worst -0.196133 -0.016275 -0.221239 b_price_best -0.024419 0.263406 -0.019338 b_price_worst 0.400703 -0.062351 0.368395 b_brand_PainAway_best b_brand_PainAway_worst b_country_CH_best b_brand_Novum_best 0.206313 -0.021091 -0.093544 b_brand_Novum_worst 0.004708 0.391643 -0.049901 b_brand_BestValue_best 0.651440 0.028884 0.238323 b_brand_worstValue_worst 0.018360 0.842958 -0.029926 b_brand_Supermarket_best 0.672676 0.055480 0.242119 b_brand_Supermarket_worst 0.008453 0.825784 -0.034282 b_brand_PainAway_best 1.000000 0.027391 0.191948 b_brand_PainAway_worst 0.027391 1.000000 -0.006803 b_country_CH_best 0.191948 -0.006803 1.000000 b_country_CH_worst 0.002258 0.359146 2.0274e-04 b_country_DK_best 0.202118 -0.030319 0.472393 b_country_DK_worst -0.011680 0.417846 0.022289 b_country_IND_best -0.364753 0.070062 -0.010412 b_country_IND_worst 0.035876 -0.379357 0.023168 b_country_RUS_best -0.380016 0.017992 -0.064875 b_country_RUS_worst 0.037220 -0.381724 0.006479 b_country_BRA_best -0.354939 0.030478 -0.037983 b_country_BRA_worst 0.018826 -0.367303 -0.003013 b_char_fast_best -0.027055 -0.005615 0.095846 b_char_fast_worst 0.055136 -0.086802 0.001208 b_char_double_best 0.068782 0.017556 0.078711 b_char_double_worst -0.032968 0.120859 -0.002450 b_risk_best -0.087115 0.009411 0.009052 b_risk_worst -0.009849 -0.150479 0.037399 b_price_best 0.344144 -0.013245 -0.112153 b_price_worst -0.077955 0.370466 0.014840 b_country_CH_worst b_country_DK_best b_country_DK_worst b_brand_Novum_best -0.005237 -0.039232 0.011759 b_brand_Novum_worst -0.054371 -0.064079 -0.061023 b_brand_BestValue_best 0.003183 0.198888 0.015479 b_brand_worstValue_worst 0.336703 -0.056892 0.391065 b_brand_Supermarket_best -0.005374 0.235340 0.023903 b_brand_Supermarket_worst 0.345384 -0.068310 0.376519 b_brand_PainAway_best 0.002258 0.202118 -0.011680 b_brand_PainAway_worst 0.359146 -0.030319 0.417846 b_country_CH_best 2.0274e-04 0.472393 0.022289 b_country_CH_worst 1.000000 -0.030180 0.498102 b_country_DK_best -0.030180 1.000000 0.003091 b_country_DK_worst 0.498102 0.003091 1.000000 b_country_IND_best 0.029553 0.030663 0.012563 b_country_IND_worst -0.120220 0.012403 -0.025073 b_country_RUS_best -0.024011 -0.005943 -0.043416 b_country_RUS_worst -0.071800 0.050197 -0.062208 b_country_BRA_best 0.007092 -0.001325 0.002375 b_country_BRA_worst -0.087808 6.0744e-04 -0.093559 b_char_fast_best -0.042185 0.010702 -0.003727 b_char_fast_worst 0.092967 -0.006757 0.077736 b_char_double_best -0.008472 0.003378 0.003244 b_char_double_worst 0.015087 0.004335 -0.023508 b_risk_best 0.034025 0.053325 0.041610 b_risk_worst -0.038512 0.035921 -0.009666 b_price_best 0.028691 -0.055017 0.013928 b_price_worst -0.140553 8.0989e-04 0.053638 b_country_IND_best b_country_IND_worst b_country_RUS_best b_brand_Novum_best -0.041025 0.001337 -0.033271 b_brand_Novum_worst 0.044871 0.018398 0.047493 b_brand_BestValue_best -0.437146 0.007219 -0.448478 b_brand_worstValue_worst 0.056214 -0.365489 0.028209 b_brand_Supermarket_best -0.430710 0.008585 -0.412476 b_brand_Supermarket_worst 0.043138 -0.342574 0.007489 b_brand_PainAway_best -0.364753 0.035876 -0.380016 b_brand_PainAway_worst 0.070062 -0.379357 0.017992 b_country_CH_best -0.010412 0.023168 -0.064875 b_country_CH_worst 0.029553 -0.120220 -0.024011 b_country_DK_best 0.030663 0.012403 -0.005943 b_country_DK_worst 0.012563 -0.025073 -0.043416 b_country_IND_best 1.000000 0.009825 0.396894 b_country_IND_worst 0.009825 1.000000 -0.016547 b_country_RUS_best 0.396894 -0.016547 1.000000 b_country_RUS_worst 0.030063 0.524925 0.005925 b_country_BRA_best 0.495537 -0.025517 0.487502 b_country_BRA_worst -4.9132e-04 0.534269 0.012555 b_char_fast_best -0.080027 0.011802 -0.088905 b_char_fast_worst -0.020279 -0.062939 -0.022168 b_char_double_best -0.028413 -0.094183 -0.041380 b_char_double_worst 0.061834 -0.067931 0.028040 b_risk_best 0.094066 0.003287 0.064597 b_risk_worst 0.020538 -0.041472 0.002853 b_price_best 0.042972 0.024221 0.010375 b_price_worst 0.039833 0.081268 0.023911 b_country_RUS_worst b_country_BRA_best b_country_BRA_worst b_brand_Novum_best -0.003229 0.012772 0.030662 b_brand_Novum_worst 0.009842 0.031033 0.008004 b_brand_BestValue_best 0.006125 -0.389085 -0.012782 b_brand_worstValue_worst -0.367844 0.028247 -0.349998 b_brand_Supermarket_best -0.001517 -0.465527 0.017494 b_brand_Supermarket_worst -0.355951 0.012686 -0.347486 b_brand_PainAway_best 0.037220 -0.354939 0.018826 b_brand_PainAway_worst -0.381724 0.030478 -0.367303 b_country_CH_best 0.006479 -0.037983 -0.003013 b_country_CH_worst -0.071800 0.007092 -0.087808 b_country_DK_best 0.050197 -0.001325 6.0744e-04 b_country_DK_worst -0.062208 0.002375 -0.093559 b_country_IND_best 0.030063 0.495537 -4.9132e-04 b_country_IND_worst 0.524925 -0.025517 0.534269 b_country_RUS_best 0.005925 0.487502 0.012555 b_country_RUS_worst 1.000000 -0.014273 0.568176 b_country_BRA_best -0.014273 1.000000 -0.022004 b_country_BRA_worst 0.568176 -0.022004 1.000000 b_char_fast_best -0.033369 -0.113104 -1.5112e-04 b_char_fast_worst -0.114197 -0.014290 -0.064701 b_char_double_best -0.084921 -0.065422 -0.082679 b_char_double_worst -0.026084 0.032141 -0.045900 b_risk_best -0.008088 0.038761 -0.009685 b_risk_worst 0.119066 0.019477 0.016234 b_price_best 0.061418 0.055405 0.026686 b_price_worst 0.120498 0.021523 0.134219 b_char_fast_best b_char_fast_worst b_char_double_best b_brand_Novum_best -0.060289 0.016385 -0.008427 b_brand_Novum_worst -0.010099 -0.053828 -0.028442 b_brand_BestValue_best -0.006880 -0.001595 0.138431 b_brand_worstValue_worst 0.005200 -0.040060 0.003605 b_brand_Supermarket_best 0.064526 -7.687e-05 0.156746 b_brand_Supermarket_worst 0.005171 -0.014653 0.021842 b_brand_PainAway_best -0.027055 0.055136 0.068782 b_brand_PainAway_worst -0.005615 -0.086802 0.017556 b_country_CH_best 0.095846 0.001208 0.078711 b_country_CH_worst -0.042185 0.092967 -0.008472 b_country_DK_best 0.010702 -0.006757 0.003378 b_country_DK_worst -0.003727 0.077736 0.003244 b_country_IND_best -0.080027 -0.020279 -0.028413 b_country_IND_worst 0.011802 -0.062939 -0.094183 b_country_RUS_best -0.088905 -0.022168 -0.041380 b_country_RUS_worst -0.033369 -0.114197 -0.084921 b_country_BRA_best -0.113104 -0.014290 -0.065422 b_country_BRA_worst -1.5112e-04 -0.064701 -0.082679 b_char_fast_best 1.000000 -0.028867 0.437731 b_char_fast_worst -0.028867 1.000000 0.016334 b_char_double_best 0.437731 0.016334 1.000000 b_char_double_worst -0.027052 0.259279 -0.045827 b_risk_best -0.082319 0.005988 3.3358e-04 b_risk_worst 0.069404 -0.039994 0.020646 b_price_best -0.140365 -0.002597 -0.181147 b_price_worst 0.044690 -0.220259 0.002487 b_char_double_worst b_risk_best b_risk_worst b_brand_Novum_best 0.015699 0.066328 -0.037312 b_brand_Novum_worst 0.079927 -0.056244 -0.041531 b_brand_BestValue_best -0.059945 -0.143917 -0.003342 b_brand_worstValue_worst 0.120726 0.015790 -0.196133 b_brand_Supermarket_best -0.059645 -0.169137 -0.016275 b_brand_Supermarket_worst 0.164116 0.012453 -0.221239 b_brand_PainAway_best -0.032968 -0.087115 -0.009849 b_brand_PainAway_worst 0.120859 0.009411 -0.150479 b_country_CH_best -0.002450 0.009052 0.037399 b_country_CH_worst 0.015087 0.034025 -0.038512 b_country_DK_best 0.004335 0.053325 0.035921 b_country_DK_worst -0.023508 0.041610 -0.009666 b_country_IND_best 0.061834 0.094066 0.020538 b_country_IND_worst -0.067931 0.003287 -0.041472 b_country_RUS_best 0.028040 0.064597 0.002853 b_country_RUS_worst -0.026084 -0.008088 0.119066 b_country_BRA_best 0.032141 0.038761 0.019477 b_country_BRA_worst -0.045900 -0.009685 0.016234 b_char_fast_best -0.027052 -0.082319 0.069404 b_char_fast_worst 0.259279 0.005988 -0.039994 b_char_double_best -0.045827 3.3358e-04 0.020646 b_char_double_worst 1.000000 0.036029 -0.022586 b_risk_best 0.036029 1.000000 -0.049860 b_risk_worst -0.022586 -0.049860 1.000000 b_price_best 0.023120 0.101534 -0.005149 b_price_worst -0.107632 -0.023765 0.129416 b_price_best b_price_worst b_brand_Novum_best 0.071027 -0.022390 b_brand_Novum_worst 0.008241 0.175678 b_brand_BestValue_best 0.299929 -0.051848 b_brand_worstValue_worst -0.024419 0.400703 b_brand_Supermarket_best 0.263406 -0.062351 b_brand_Supermarket_worst -0.019338 0.368395 b_brand_PainAway_best 0.344144 -0.077955 b_brand_PainAway_worst -0.013245 0.370466 b_country_CH_best -0.112153 0.014840 b_country_CH_worst 0.028691 -0.140553 b_country_DK_best -0.055017 8.0989e-04 b_country_DK_worst 0.013928 0.053638 b_country_IND_best 0.042972 0.039833 b_country_IND_worst 0.024221 0.081268 b_country_RUS_best 0.010375 0.023911 b_country_RUS_worst 0.061418 0.120498 b_country_BRA_best 0.055405 0.021523 b_country_BRA_worst 0.026686 0.134219 b_char_fast_best -0.140365 0.044690 b_char_fast_worst -0.002597 -0.220259 b_char_double_best -0.181147 0.002487 b_char_double_worst 0.023120 -0.107632 b_risk_best 0.101534 -0.023765 b_risk_worst -0.005149 0.129416 b_price_best 1.000000 -0.068561 b_price_worst -0.068561 1.000000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 593 0.04419134 875 0.04709929 367 0.04763642 859 0.05609243 947 0.05645293 499 0.05874678 476 0.05891322 933 0.06078198 678 0.06128949 70 0.06129419 8 0.06333909 288 0.06372332 240 0.06375578 565 0.06376934 163 0.06410280 1000 0.06416984 524 0.06418126 118 0.06421159 127 0.06493513 287 0.06515666 Changes in parameter estimates from starting values: Initial Estimate Difference b_brand_Artemis_best 0.000 0.000000 0.000000 b_brand_Artemis_worst 0.000 0.000000 0.000000 b_brand_Novum_best 0.000 -0.269845 -0.269845 b_brand_Novum_worst 0.000 -0.285958 -0.285958 b_brand_BestValue_best 0.000 -0.461958 -0.461958 b_brand_worstValue_worst 0.000 -0.586496 -0.586496 b_brand_Supermarket_best 0.000 -0.154948 -0.154948 b_brand_Supermarket_worst 0.000 -0.418153 -0.418153 b_brand_PainAway_best 0.000 -1.099511 -1.099511 b_brand_PainAway_worst 0.000 -0.977427 -0.977427 b_country_CH_best 0.000 0.642628 0.642628 b_country_CH_worst 0.000 0.319061 0.319061 b_country_DK_best 0.000 0.330881 0.330881 b_country_DK_worst 0.000 0.098949 0.098949 b_country_USA_best 0.000 0.000000 0.000000 b_country_USA_worst 0.000 0.000000 0.000000 b_country_IND_best 0.000 -0.305593 -0.305593 b_country_IND_worst 0.000 -0.091529 -0.091529 b_country_RUS_best 0.000 -0.849500 -0.849500 b_country_RUS_worst 0.000 -0.540555 -0.540555 b_country_BRA_best 0.000 -0.632849 -0.632849 b_country_BRA_worst 0.000 -0.342112 -0.342112 b_char_standard_best 0.000 0.000000 0.000000 b_char_standard_worst 0.000 0.000000 0.000000 b_char_fast_best 0.000 0.739500 0.739500 b_char_fast_worst 0.000 0.462352 0.462352 b_char_double_best 0.000 1.171755 1.171755 b_char_double_worst 0.000 0.715409 0.715409 b_risk_best 0.000 -0.001528 -0.001528 b_risk_worst 0.000 -0.001038 -0.001038 b_price_best 0.000 -0.704449 -0.704449 b_price_worst 0.000 -0.512136 -0.512136 Settings and functions used in model definition: apollo_control -------------- Value modelName "BW_joint_model_diff_params" modelDescr "Best-worst model on drug choice data, using different parameters for best and worst choices" indivID "ID" outputDirectory "output/" debug "FALSE" nCores "1" workInLogs "FALSE" seed "13" mixing "FALSE" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" calculateLLC "TRUE" panelData "TRUE" analyticGrad "TRUE" analyticGrad_manualSet "FALSE" overridePanel "FALSE" preventOverridePanel "FALSE" noModification "FALSE" Hessian routines attempted -------------------------- numerical jacobian of LL analytical gradient Scaling in estimation --------------------- Value b_brand_Novum_best 0.269845974 b_brand_Novum_worst 0.285958017 b_brand_BestValue_best 0.461957704 b_brand_worstValue_worst 0.586495225 b_brand_Supermarket_best 0.154947894 b_brand_Supermarket_worst 0.418152736 b_brand_PainAway_best 1.099507448 b_brand_PainAway_worst 0.977422430 b_country_CH_best 0.642626640 b_country_CH_worst 0.319060719 b_country_DK_best 0.330880451 b_country_DK_worst 0.098948735 b_country_IND_best 0.305592636 b_country_IND_worst 0.091528648 b_country_RUS_best 0.849492961 b_country_RUS_worst 0.540554602 b_country_BRA_best 0.632847847 b_country_BRA_worst 0.342111454 b_char_fast_best 0.739499158 b_char_fast_worst 0.462352028 b_char_double_best 1.171743455 b_char_double_worst 0.715407605 b_risk_best 0.001528101 b_risk_worst 0.001037533 b_price_best 0.704450251 b_price_worst 0.512135903 Scaling used in computing Hessian --------------------------------- Value b_brand_Novum_best 0.269845444 b_brand_Novum_worst 0.285957793 b_brand_BestValue_best 0.461958113 b_brand_worstValue_worst 0.586495530 b_brand_Supermarket_best 0.154948053 b_brand_Supermarket_worst 0.418152689 b_brand_PainAway_best 1.099510954 b_brand_PainAway_worst 0.977426668 b_country_CH_best 0.642627623 b_country_CH_worst 0.319060892 b_country_DK_best 0.330880778 b_country_DK_worst 0.098948749 b_country_IND_best 0.305592789 b_country_IND_worst 0.091528663 b_country_RUS_best 0.849499891 b_country_RUS_worst 0.540555081 b_country_BRA_best 0.632848908 b_country_BRA_worst 0.342111637 b_char_fast_best 0.739499618 b_char_fast_worst 0.462352251 b_char_double_best 1.171755171 b_char_double_worst 0.715408886 b_risk_best 0.001528098 b_risk_worst 0.001037534 b_price_best 0.704448533 b_price_worst 0.512136165 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() ### List of utilities for the "best" choice V_best = list() V_best[["alt1"]] = ( b_brand_Artemis_best*(brand_1=="Artemis") + b_brand_Novum_best*(brand_1=="Novum") + b_country_CH_best*(country_1=="Switzerland") + b_country_DK_best*(country_1=="Denmark") + b_country_USA_best*(country_1=="USA") + b_char_standard_best*(char_1=="standard") + b_char_fast_best*(char_1=="fast acting") + b_char_double_best*(char_1=="double strength") + b_risk_best*side_effects_1 + b_price_best*price_1) V_best[["alt2"]] = ( b_brand_Artemis_best*(brand_2=="Artemis") + b_brand_Novum_best*(brand_2=="Novum") + b_country_CH_best*(country_2=="Switzerland") + b_country_DK_best*(country_2=="Denmark") + b_country_USA_best*(country_2=="USA") + b_char_standard_best*(char_2=="standard") + b_char_fast_best*(char_2=="fast acting") + b_char_double_best*(char_2=="double strength") + b_risk_best*side_effects_2 + b_price_best*price_2) V_best[["alt3"]] = ( b_brand_BestValue_best*(brand_3=="BestValue") + b_brand_Supermarket_best*(brand_3=="Supermarket") + b_brand_PainAway_best*(brand_3=="PainAway") + b_country_USA_best*(country_3=="USA") + b_country_IND_best*(country_3=="India") + b_country_RUS_best*(country_3=="Russia") + b_country_BRA_best*(country_3=="Brazil") + b_char_standard_best*(char_3=="standard") + b_char_fast_best*(char_3=="fast acting") + b_risk_best*side_effects_3 + b_price_best*price_3 ) V_best[["alt4"]] = ( b_brand_BestValue_best*(brand_4=="BestValue") + b_brand_Supermarket_best*(brand_4=="Supermarket") + b_brand_PainAway_best*(brand_4=="PainAway") + b_country_USA_best*(country_4=="USA") + b_country_IND_best*(country_4=="India") + b_country_RUS_best*(country_4=="Russia") + b_country_BRA_best*(country_4=="Brazil") + b_char_standard_best*(char_4=="standard") + b_char_fast_best*(char_4=="fast acting") + b_risk_best*side_effects_4 + b_price_best*price_4 ) ### Compute probabilities for "best" choice using MNL model mnl_settings_best = 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_best, componentName = "best" ) P[["choice_best"]] = apollo_mnl(mnl_settings_best, functionality) ### List of utilities for the "worse" choice V_worst = list() V_worst[["alt1"]] = ( b_brand_Artemis_worst*(brand_1=="Artemis") + b_brand_Novum_worst*(brand_1=="Novum") + b_country_CH_worst*(country_1=="Switzerland") + b_country_DK_worst*(country_1=="Denmark") + b_country_USA_worst*(country_1=="USA") + b_char_standard_worst*(char_1=="standard") + b_char_fast_worst*(char_1=="fast acting") + b_char_double_worst*(char_1=="double strength") + b_risk_worst*side_effects_1 + b_price_worst*price_1) V_worst[["alt2"]] = ( b_brand_Artemis_worst*(brand_2=="Artemis") + b_brand_Novum_worst*(brand_2=="Novum") + b_country_CH_worst*(country_2=="Switzerland") + b_country_DK_worst*(country_2=="Denmark") + b_country_USA_worst*(country_2=="USA") + b_char_standard_worst*(char_2=="standard") + b_char_fast_worst*(char_2=="fast acting") + b_char_double_worst*(char_2=="double strength") + b_risk_worst*side_effects_2 + b_price_worst*price_2) V_worst[["alt3"]] = ( b_brand_worstValue_worst*(brand_3=="BestValue") + b_brand_Supermarket_worst*(brand_3=="Supermarket") + b_brand_PainAway_worst*(brand_3=="PainAway") + b_country_USA_worst*(country_3=="USA") + b_country_IND_worst*(country_3=="India") + b_country_RUS_worst*(country_3=="Russia") + b_country_BRA_worst*(country_3=="Brazil") + b_char_standard_worst*(char_3=="standard") + b_char_fast_worst*(char_3=="fast acting") + b_risk_worst*side_effects_3 + b_price_worst*price_3 ) V_worst[["alt4"]] = ( b_brand_worstValue_worst*(brand_4=="BestValue") + b_brand_Supermarket_worst*(brand_4=="Supermarket") + b_brand_PainAway_worst*(brand_4=="PainAway") + b_country_USA_worst*(country_4=="USA") + b_country_IND_worst*(country_4=="India") + b_country_RUS_worst*(country_4=="Russia") + b_country_BRA_worst*(country_4=="Brazil") + b_char_standard_worst*(char_4=="standard") + b_char_fast_worst*(char_4=="fast acting") + b_risk_worst*side_effects_4 + b_price_worst*price_4 ) ### Compute probabilities for "worst" choice using MNL model mnl_settings_worst = list( alternatives = c(alt1=1, alt2=2, alt3=3, alt4=4), avail = list(alt1=(best!=1), alt2=(best!=2), alt3=(best!=3), alt4=(best!=4)), choiceVar = worst, utilities = list(alt1 = -V_worst[["alt1"]], alt2 = -V_worst[["alt2"]], alt3 = -V_worst[["alt3"]], alt4 = -V_worst[["alt4"]]) ) P[["choice_worst"]] = apollo_mnl(mnl_settings_worst, functionality) ### Combined model P = apollo_combineModels(P, apollo_inputs, functionality) ### Take product across observation for same individual P = apollo_panelProd(P, apollo_inputs, functionality) ### Prepare and return outputs of function P = apollo_prepareProb(P, apollo_inputs, functionality) return(P) }