Model run by stephane.hess using Apollo 0.3.5 on R 4.4.0 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 : MDCEV_with_outside_good Model description : MDCEV model on time use data, alpha-gamma profile with outside good and socio-demographics Model run at : 2025-03-10 17:23:24.119761 Estimation method : bgw Model diagnosis : Relative function convergence Optimisation diagnosis : Maximum found hessian properties : Negative definite maximum eigenvalue : -2e-06 reciprocal of condition number : 1.54841e-09 Number of individuals : 447 Number of rows in database : 2826 Number of modelled outcomes : 2826 Number of cores used : 1 Model without mixing LL(start) : -21594.92 LL at equal shares, LL(0) : NA LL at observed shares, LL(C) : NA LL(final) : -15007.36 Rho-squared vs equal shares : Not applicable Adj.Rho-squared vs equal shares : Not applicable Rho-squared vs observed shares : Not applicable Adj.Rho-squared vs observed shares : Not applicable AIC : 30044.72 BIC : 30133.92 Estimated parameters : 15 Time taken (hh:mm:ss) : 00:00:2.28 pre-estimation : 00:00:0.11 estimation : 00:00:0.97 post-estimation : 00:00:1.2 Iterations : 34 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) alpha_base -19.1941 659.47611 -0.02911 0.12263 -156.516 gamma_work 4.8989 0.29745 16.46932 0.28121 17.421 gamma_school 3.0986 0.58593 5.28836 0.54815 5.653 gamma_shopping 0.4264 0.02697 15.81276 0.03088 13.808 gamma_private 0.6200 0.05038 12.30746 0.06763 9.168 gamma_leisure 2.0958 0.11402 18.38107 0.12634 16.589 delta_work -3.7172 0.07070 -52.57775 0.11544 -32.201 delta_school -7.4183 0.22459 -33.03008 0.34573 -21.457 delta_shopping -3.8044 0.04154 -91.58299 0.05212 -72.999 delta_private -4.2786 0.04785 -89.41655 0.06188 -69.148 delta_leisure -3.4001 0.04423 -76.87341 0.05645 -60.227 delta_work_FT 1.3248 0.08157 16.24190 0.13484 9.825 delta_work_wknd -2.8609 0.14288 -20.02289 0.19540 -14.641 delta_school_young 2.3442 0.25751 9.10328 0.40178 5.834 delta_leisure_wknd 0.2949 0.07139 4.13025 0.07397 3.987 sig 1.0000 NA NA NA NA Overview of choices for MDCEV model component : outside work school shopping private leisure Times available 2826.00 2826.00 2826.00 2826.0 2826.00 2826.00 Observations in which chosen 2826.00 1139.00 85.00 783.0 535.00 1174.00 Average consumption when available 18.21 2.89 0.11 0.5 0.44 1.85 Average consumption when chosen 18.21 7.17 3.52 1.8 2.34 4.45 Classical covariance matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private gamma_leisure delta_work alpha_base 4.349e+05 -0.014850 -0.008217 -0.001351 -0.002202 -0.006823 0.005650 gamma_work -0.014850 0.088479 -4.7926e-04 -3.032e-05 -5.857e-05 -5.8253e-04 -0.002152 gamma_school -0.008217 -4.7926e-04 0.343309 -4.528e-06 -1.888e-05 -1.7298e-04 1.2333e-04 gamma_shopping -0.001351 -3.032e-05 -4.528e-06 7.2722e-04 3.073e-07 -2.712e-06 4.550e-06 gamma_private -0.002202 -5.857e-05 -1.888e-05 3.073e-07 0.002538 -1.060e-05 6.644e-06 gamma_leisure -0.006823 -5.8253e-04 -1.7298e-04 -2.712e-06 -1.060e-05 0.013000 4.639e-05 delta_work 0.005650 -0.002152 1.2333e-04 4.550e-06 6.644e-06 4.639e-05 0.004998 delta_school 0.005515 -1.0683e-04 -2.2873e-04 2.068e-06 7.242e-07 -1.805e-05 3.8083e-04 delta_shopping 0.005597 -6.179e-05 3.825e-06 -1.6228e-04 -6.348e-07 -2.059e-05 3.9197e-04 delta_private 0.005615 -5.703e-05 1.861e-06 3.029e-07 -2.1534e-04 -1.487e-05 3.8867e-04 delta_leisure 0.005592 -4.347e-05 3.478e-05 -2.691e-06 -8.952e-07 -8.8798e-04 5.1000e-04 delta_work_FT -1.7215e-04 -0.004915 -1.0583e-04 -6.964e-06 -7.118e-06 -2.780e-05 -0.004564 delta_work_wknd 2.0563e-04 0.006178 -7.760e-05 1.055e-05 6.501e-06 -2.842e-05 -8.7597e-04 delta_school_young 5.853e-05 7.567e-05 -0.003041 -4.637e-06 -4.827e-07 1.455e-07 2.841e-05 delta_leisure_wknd 2.4505e-04 8.532e-05 -6.774e-05 1.083e-05 7.624e-06 -5.3947e-04 -3.6577e-04 delta_school delta_shopping delta_private delta_leisure delta_work_FT delta_work_wknd delta_school_young alpha_base 0.005515 0.005597 0.005615 0.005592 -1.7215e-04 2.0563e-04 5.853e-05 gamma_work -1.0683e-04 -6.179e-05 -5.703e-05 -4.347e-05 -0.004915 0.006178 7.567e-05 gamma_school -2.2873e-04 3.825e-06 1.861e-06 3.478e-05 -1.0583e-04 -7.760e-05 -0.003041 gamma_shopping 2.068e-06 -1.6228e-04 3.029e-07 -2.691e-06 -6.964e-06 1.055e-05 -4.637e-06 gamma_private 7.242e-07 -6.348e-07 -2.1534e-04 -8.952e-07 -7.118e-06 6.501e-06 -4.827e-07 gamma_leisure -1.805e-05 -2.059e-05 -1.487e-05 -8.8798e-04 -2.780e-05 -2.842e-05 1.455e-07 delta_work 3.8083e-04 3.9197e-04 3.8867e-04 5.1000e-04 -0.004564 -8.7597e-04 2.841e-05 delta_school 0.050441 3.8366e-04 3.8732e-04 3.7852e-04 2.160e-06 3.903e-05 -0.050221 delta_shopping 3.8366e-04 0.001726 3.8697e-04 3.8833e-04 -7.659e-06 3.423e-06 4.725e-06 delta_private 3.8732e-04 3.8697e-04 0.002290 3.8100e-04 -1.094e-05 2.608e-05 -6.547e-06 delta_leisure 3.7852e-04 3.8833e-04 3.8100e-04 0.001956 -3.144e-06 -3.6992e-04 -7.159e-06 delta_work_FT 2.160e-06 -7.659e-06 -1.094e-05 -3.144e-06 0.006653 -0.001224 -5.774e-05 delta_work_wknd 3.903e-05 3.423e-06 2.608e-05 -3.6992e-04 -0.001224 0.020415 -1.384e-05 delta_school_young -0.050221 4.725e-06 -6.547e-06 -7.159e-06 -5.774e-05 -1.384e-05 0.066311 delta_leisure_wknd 5.464e-05 2.392e-05 4.254e-05 -0.001715 -1.488e-06 0.001190 6.146e-06 delta_leisure_wknd alpha_base 2.4505e-04 gamma_work 8.532e-05 gamma_school -6.774e-05 gamma_shopping 1.083e-05 gamma_private 7.624e-06 gamma_leisure -5.3947e-04 delta_work -3.6577e-04 delta_school 5.464e-05 delta_shopping 2.392e-05 delta_private 4.254e-05 delta_leisure -0.001715 delta_work_FT -1.488e-06 delta_work_wknd 0.001190 delta_school_young 6.146e-06 delta_leisure_wknd 0.005097 Robust covariance matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private gamma_leisure delta_work alpha_base 0.015039 0.006648 0.006141 7.4604e-04 5.3652e-04 0.003705 -0.001265 gamma_work 0.006648 0.079079 0.011724 -3.0696e-04 0.001014 0.003811 -0.002909 gamma_school 0.006141 0.011724 0.300470 -6.2128e-04 7.5429e-04 0.001502 -0.002683 gamma_shopping 7.4604e-04 -3.0696e-04 -6.2128e-04 9.5370e-04 1.3059e-04 4.8376e-04 2.3988e-04 gamma_private 5.3652e-04 0.001014 7.5429e-04 1.3059e-04 0.004573 -4.5306e-04 -7.3746e-04 gamma_leisure 0.003705 0.003811 0.001502 4.8376e-04 -4.5306e-04 0.015961 8.2700e-04 delta_work -0.001265 -0.002909 -0.002683 2.3988e-04 -7.3746e-04 8.2700e-04 0.013326 delta_school 0.010458 0.009100 0.045074 4.1163e-04 1.0307e-04 0.005252 0.004197 delta_shopping 8.2320e-04 -9.9803e-04 0.001006 -2.4730e-04 -2.4934e-04 -6.8351e-04 5.7882e-04 delta_private 7.5157e-04 0.001046 0.001523 -7.425e-05 -1.2223e-04 -6.2051e-04 -4.0312e-04 delta_leisure 9.255e-05 -0.001758 0.002269 -5.745e-05 -2.1639e-04 -0.001664 8.540e-05 delta_work_FT -9.9547e-04 -0.012014 0.003376 -1.3693e-04 4.7884e-04 -0.001236 -0.013172 delta_work_wknd 0.002937 0.020236 0.001381 8.684e-05 6.9014e-04 0.003071 9.7593e-04 delta_school_young -0.010108 -0.004020 -0.047002 -1.4012e-04 2.4370e-04 -0.004576 -0.008306 delta_leisure_wknd -5.941e-05 9.0874e-04 0.001588 -6.766e-05 3.241e-05 4.1978e-04 1.5147e-04 delta_school delta_shopping delta_private delta_leisure delta_work_FT delta_work_wknd delta_school_young alpha_base 0.010458 8.2320e-04 7.5157e-04 9.255e-05 -9.9547e-04 0.002937 -0.010108 gamma_work 0.009100 -9.9803e-04 0.001046 -0.001758 -0.012014 0.020236 -0.004020 gamma_school 0.045074 0.001006 0.001523 0.002269 0.003376 0.001381 -0.047002 gamma_shopping 4.1163e-04 -2.4730e-04 -7.425e-05 -5.745e-05 -1.3693e-04 8.684e-05 -1.4012e-04 gamma_private 1.0307e-04 -2.4934e-04 -1.2223e-04 -2.1639e-04 4.7884e-04 6.9014e-04 2.4370e-04 gamma_leisure 0.005252 -6.8351e-04 -6.2051e-04 -0.001664 -0.001236 0.003071 -0.004576 delta_work 0.004197 5.7882e-04 -4.0312e-04 8.540e-05 -0.013172 9.7593e-04 -0.008306 delta_school 0.119530 -3.5687e-04 8.7801e-04 3.5046e-04 -0.005041 0.011726 -0.119815 delta_shopping -3.5687e-04 0.002716 7.1245e-04 8.8867e-04 -2.0933e-04 -0.001205 4.4858e-04 delta_private 8.7801e-04 7.1245e-04 0.003829 0.001031 4.0090e-04 -2.5946e-04 -0.001116 delta_leisure 3.5046e-04 8.8867e-04 0.001031 0.003187 5.8628e-04 -8.7440e-04 -2.9208e-04 delta_work_FT -0.005041 -2.0933e-04 4.0090e-04 5.8628e-04 0.018182 -0.006396 0.008273 delta_work_wknd 0.011726 -0.001205 -2.5946e-04 -8.7440e-04 -0.006396 0.038181 -0.005668 delta_school_young -0.119815 4.4858e-04 -0.001116 -2.9208e-04 0.008273 -0.005668 0.161431 delta_leisure_wknd -1.7541e-04 2.4589e-04 4.568e-06 -0.001780 -3.0016e-04 2.4377e-04 0.001891 delta_leisure_wknd alpha_base -5.941e-05 gamma_work 9.0874e-04 gamma_school 0.001588 gamma_shopping -6.766e-05 gamma_private 3.241e-05 gamma_leisure 4.1978e-04 delta_work 1.5147e-04 delta_school -1.7541e-04 delta_shopping 2.4589e-04 delta_private 4.568e-06 delta_leisure -0.001780 delta_work_FT -3.0016e-04 delta_work_wknd 2.4377e-04 delta_school_young 0.001891 delta_leisure_wknd 0.005471 Classical correlation matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private gamma_leisure delta_work alpha_base 1.000 -7.570e-05 -2.127e-05 -7.596e-05 -6.629e-05 -9.074e-05 1.2117e-04 gamma_work -7.570e-05 1.000000 -0.002750 -0.003780 -0.003909 -0.017176 -0.102325 gamma_school -2.127e-05 -0.002750 1.000000 -2.8654e-04 -6.3947e-04 -0.002589 0.002977 gamma_shopping -7.596e-05 -0.003780 -2.8654e-04 1.000000 2.2619e-04 -8.8209e-04 0.002387 gamma_private -6.629e-05 -0.003909 -6.3947e-04 2.2619e-04 1.000000 -0.001845 0.001865 gamma_leisure -9.074e-05 -0.017176 -0.002589 -8.8209e-04 -0.001845 1.000000 0.005755 delta_work 1.2117e-04 -0.102325 0.002977 0.002387 0.001865 0.005755 1.000000 delta_school 3.723e-05 -0.001599 -0.001738 3.4143e-04 6.401e-05 -7.0495e-04 0.023984 delta_shopping 2.0432e-04 -0.005001 1.5715e-04 -0.144862 -3.0336e-04 -0.004347 0.133468 delta_private 1.7792e-04 -0.004007 6.639e-05 2.3470e-04 -0.089333 -0.002725 0.114888 delta_leisure 1.9171e-04 -0.003304 0.001342 -0.002256 -4.0176e-04 -0.176080 0.163094 delta_work_FT -3.200e-06 -0.202556 -0.002214 -0.003166 -0.001732 -0.002989 -0.791506 delta_work_wknd 2.182e-06 0.145370 -9.2691e-04 0.002737 9.0314e-04 -0.001744 -0.086715 delta_school_young 3.447e-07 9.8791e-04 -0.020152 -6.6779e-04 -3.721e-05 4.956e-06 0.001560 delta_leisure_wknd 5.205e-06 0.004018 -0.001619 0.005627 0.002120 -0.066272 -0.072464 delta_school delta_shopping delta_private delta_leisure delta_work_FT delta_work_wknd delta_school_young alpha_base 3.723e-05 2.0432e-04 1.7792e-04 1.9171e-04 -3.200e-06 2.182e-06 3.447e-07 gamma_work -0.001599 -0.005001 -0.004007 -0.003304 -0.202556 0.145370 9.8791e-04 gamma_school -0.001738 1.5715e-04 6.639e-05 0.001342 -0.002214 -9.2691e-04 -0.020152 gamma_shopping 3.4143e-04 -0.144862 2.3470e-04 -0.002256 -0.003166 0.002737 -6.6779e-04 gamma_private 6.401e-05 -3.0336e-04 -0.089333 -4.0176e-04 -0.001732 9.0314e-04 -3.721e-05 gamma_leisure -7.0495e-04 -0.004347 -0.002725 -0.176080 -0.002989 -0.001744 4.956e-06 delta_work 0.023984 0.133468 0.114888 0.163094 -0.791506 -0.086715 0.001560 delta_school 1.000000 0.041123 0.036041 0.038104 1.1793e-04 0.001216 -0.868354 delta_shopping 0.041123 1.000000 0.194679 0.211358 -0.002260 5.7665e-04 4.4175e-04 delta_private 0.036041 0.194679 1.000000 0.180019 -0.002804 0.003815 -5.3131e-04 delta_leisure 0.038104 0.211358 0.180019 1.000000 -8.7159e-04 -0.058535 -6.2852e-04 delta_work_FT 1.1793e-04 -0.002260 -0.002804 -8.7159e-04 1.000000 -0.104998 -0.002749 delta_work_wknd 0.001216 5.7665e-04 0.003815 -0.058535 -0.104998 1.000000 -3.7628e-04 delta_school_young -0.868354 4.4175e-04 -5.3131e-04 -6.2852e-04 -0.002749 -3.7628e-04 1.000000 delta_leisure_wknd 0.003408 0.008064 0.012453 -0.543125 -2.5553e-04 0.116656 3.3432e-04 delta_leisure_wknd alpha_base 5.205e-06 gamma_work 0.004018 gamma_school -0.001619 gamma_shopping 0.005627 gamma_private 0.002120 gamma_leisure -0.066272 delta_work -0.072464 delta_school 0.003408 delta_shopping 0.008064 delta_private 0.012453 delta_leisure -0.543125 delta_work_FT -2.5553e-04 delta_work_wknd 0.116656 delta_school_young 3.3432e-04 delta_leisure_wknd 1.000000 Robust correlation matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private gamma_leisure delta_work alpha_base 1.000000 0.19278 0.09135 0.19699 0.064693 0.23911 -0.08933 gamma_work 0.192785 1.00000 0.07606 -0.03535 0.053335 0.10727 -0.08960 gamma_school 0.091352 0.07606 1.00000 -0.03670 0.020348 0.02169 -0.04240 gamma_shopping 0.196991 -0.03535 -0.03670 1.00000 0.062530 0.12399 0.06729 gamma_private 0.064693 0.05334 0.02035 0.06253 1.000000 -0.05303 -0.09446 gamma_leisure 0.239110 0.10727 0.02169 0.12399 -0.053027 1.00000 0.05670 delta_work -0.089332 -0.08960 -0.04240 0.06729 -0.094464 0.05670 1.00000 delta_school 0.246666 0.09360 0.23784 0.03855 0.004408 0.12024 0.10515 delta_shopping 0.128805 -0.06810 0.03522 -0.15365 -0.070746 -0.10381 0.09621 delta_private 0.099046 0.06009 0.04491 -0.03886 -0.029210 -0.07938 -0.05644 delta_leisure 0.013367 -0.11072 0.07331 -0.03295 -0.056677 -0.23333 0.01310 delta_work_FT -0.060201 -0.31683 0.04567 -0.03288 0.052511 -0.07255 -0.84620 delta_work_wknd 0.122585 0.36828 0.01289 0.01439 0.052227 0.12439 0.04327 delta_school_young -0.205136 -0.03558 -0.21341 -0.01129 0.008969 -0.09016 -0.17908 delta_leisure_wknd -0.006550 0.04369 0.03918 -0.02962 0.006480 0.04492 0.01774 delta_school delta_shopping delta_private delta_leisure delta_work_FT delta_work_wknd delta_school_young alpha_base 0.246666 0.12880 0.09905 0.01337 -0.06020 0.12258 -0.205136 gamma_work 0.093596 -0.06810 0.06009 -0.11072 -0.31683 0.36828 -0.035580 gamma_school 0.237843 0.03522 0.04491 0.07331 0.04567 0.01289 -0.213414 gamma_shopping 0.038553 -0.15365 -0.03886 -0.03295 -0.03288 0.01439 -0.011293 gamma_private 0.004408 -0.07075 -0.02921 -0.05668 0.05251 0.05223 0.008969 gamma_leisure 0.120244 -0.10381 -0.07938 -0.23333 -0.07255 0.12439 -0.090158 delta_work 0.105148 0.09621 -0.05644 0.01310 -0.84620 0.04327 -0.179079 delta_school 1.000000 -0.01981 0.04104 0.01796 -0.10812 0.17357 -0.862537 delta_shopping -0.019807 1.00000 0.22094 0.30205 -0.02979 -0.11837 0.021423 delta_private 0.041043 0.22094 1.00000 0.29516 0.04805 -0.02146 -0.044897 delta_leisure 0.017956 0.30205 0.29516 1.00000 0.07702 -0.07927 -0.012877 delta_work_FT -0.108125 -0.02979 0.04805 0.07702 1.00000 -0.24276 0.152706 delta_work_wknd 0.173569 -0.11837 -0.02146 -0.07927 -0.24276 1.00000 -0.072192 delta_school_young -0.862537 0.02142 -0.04490 -0.01288 0.15271 -0.07219 1.000000 delta_leisure_wknd -0.006859 0.06379 9.9804e-04 -0.42630 -0.03009 0.01687 0.063645 delta_leisure_wknd alpha_base -0.006550 gamma_work 0.043688 gamma_school 0.039178 gamma_shopping -0.029619 gamma_private 0.006480 gamma_leisure 0.044920 delta_work 0.017739 delta_school -0.006859 delta_shopping 0.063786 delta_private 9.9804e-04 delta_leisure -0.426302 delta_work_FT -0.030095 delta_work_wknd 0.016866 delta_school_young 0.063645 delta_leisure_wknd 1.000000 20 most extreme outliers in terms of lowest average per choice prediction: ID Avg prob per choice 2146576 1.310637e-06 9902059 1.643740e-05 9880000 2.639044e-05 6292582 3.777538e-05 3051038 6.564098e-05 8415029 6.887052e-05 8530000 7.160681e-05 9230000 7.424636e-05 7560000 8.725052e-05 8494828 9.341743e-05 1226238 9.510233e-05 5436896 9.791497e-05 7177352 9.978854e-05 6689995 1.057266e-04 1566942 1.153970e-04 3730000 1.300521e-04 2942411 1.303236e-04 9216479 1.404911e-04 6490000 1.465985e-04 2119561 1.511235e-04 Changes in parameter estimates from starting values: Initial Estimate Difference alpha_base 0.000 -19.1941 -19.1941 gamma_work 1.000 4.8989 3.8989 gamma_school 1.000 3.0986 2.0986 gamma_shopping 1.000 0.4264 -0.5736 gamma_private 1.000 0.6200 -0.3800 gamma_leisure 1.000 2.0958 1.0958 delta_work 0.000 -3.7172 -3.7172 delta_school 0.000 -7.4183 -7.4183 delta_shopping 0.000 -3.8044 -3.8044 delta_private 0.000 -4.2786 -4.2786 delta_leisure 0.000 -3.4001 -3.4001 delta_work_FT 0.000 1.3248 1.3248 delta_work_wknd 0.000 -2.8609 -2.8609 delta_school_young 0.000 2.3442 2.3442 delta_leisure_wknd 0.000 0.2949 0.2949 sig 1.000 1.0000 0.0000 Settings and functions used in model definition: apollo_control -------------- Value modelDescr "MDCEV model on time use data, alpha-gamma profile with outside good and socio-demographics" indivID "indivID" outputDirectory "output/" debug "FALSE" modelName "MDCEV_with_outside_good" nCores "1" workInLogs "FALSE" seed "13" mixing "FALSE" 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 second derivative of LL (using numDeriv) Scaling used in computing Hessian --------------------------------- Value alpha_base 19.1941431 gamma_work 4.8988658 gamma_school 3.0985861 gamma_shopping 0.4264227 gamma_private 0.6200131 gamma_leisure 2.0957905 delta_work 3.7172129 delta_school 7.4182725 delta_shopping 3.8043551 delta_private 4.2786335 delta_leisure 3.4000988 delta_work_FT 1.3248265 delta_work_wknd 2.8609026 delta_school_young 2.3441826 delta_leisure_wknd 0.2948779 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() ### Define individual alternatives alternatives = c("outside", "work", "school", "shopping", "private", "leisure") ### Define availabilities avail = list(outside = 1, work = 1, school = 1, shopping = 1, private = 1, leisure = 1) ### Define continuous consumption for individual alternatives continuousChoice = list(outside = t_outside/60, work = t_a02/60, school = t_a03/60, shopping = t_a04/60, private = t_a05/60, leisure = t_leisure/60) ### Define utilities for individual alternatives V = list() V[["outside"]] = 0 V[["work"]] = delta_work + delta_work_FT * occ_full_time + delta_work_wknd * weekend V[["school"]] = delta_school + delta_school_young * (age<=30) V[["shopping"]] = delta_shopping V[["private"]] = delta_private V[["leisure"]] = delta_leisure + delta_leisure_wknd*weekend ### Define alpha parameters alpha = list(outside = 1 /(1 + exp(-alpha_base)), work = 1 /(1 + exp(-alpha_base)), school = 1 /(1 + exp(-alpha_base)), shopping = 1 /(1 + exp(-alpha_base)), private = 1 /(1 + exp(-alpha_base)), leisure = 1 /(1 + exp(-alpha_base))) ### Define gamma parameters gamma = list(work = gamma_work, school = gamma_school, shopping = gamma_shopping, private = gamma_private, leisure = gamma_leisure) ### Define costs for individual alternatives cost = list(outside = 1, work = 1, school = 1, shopping = 1, private = 1, leisure = 1) ### Define settings for MDCEV model mdcev_settings = list(alternatives = alternatives, avail = avail, continuousChoice = continuousChoice, utilities = V, alpha = alpha, gamma = gamma, sigma = sig, cost = cost, budget = 24) ### Compute probabilities using MDCEV model P[["model"]] = apollo_mdcev(mdcev_settings, 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) }