Model run using Apollo for R, version 0.2.3 on Darwin by stephane.hess www.ApolloChoiceModelling.com Model name : Apollo_example_12 Model description : MDCEV model on time use data, alpha-gamma profile with outside good and socio-demographics Model run at : 2021-02-04 17:48:07 Estimation method : bfgs Model diagnosis : successful convergence 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(0) : Not applicable LL(final) : -15007.36 Rho-square (0) : Not applicable Adj.Rho-square (0) : Not applicable AIC : 30044.72 BIC : 30133.92 Estimated parameters : 15 Time taken (hh:mm:ss) : 00:00:30.01 pre-estimation : 00:00:0.62 estimation : 00:00:20.55 post-estimation : 00:00:8.84 Iterations : 64 Min abs eigenvalue of Hessian : 0.000192 Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) alpha_base -14.7694 72.16735 -0.2047 0.12283 -120.242 gamma_work 4.8990 0.29747 16.4690 0.28123 17.420 gamma_school 3.0985 0.58589 5.2885 0.54811 5.653 gamma_shopping 0.4264 0.02697 15.8126 0.03088 13.808 gamma_private 0.6200 0.05038 12.3075 0.06763 9.168 gamma_leisure 2.0957 0.11401 18.3815 0.12633 16.589 delta_work -3.7172 0.07070 -52.5777 0.11544 -32.201 delta_school -7.4182 0.22458 -33.0308 0.34571 -21.458 delta_shopping -3.8044 0.04154 -91.5828 0.05212 -72.999 delta_private -4.2786 0.04785 -89.4164 0.06188 -69.148 delta_leisure -3.4001 0.04423 -76.8732 0.05645 -60.227 delta_work_FT 1.3249 0.08157 16.2421 0.13484 9.825 delta_work_wknd -2.8609 0.14288 -20.0228 0.19540 -14.641 delta_school_young 2.3441 0.25750 9.1032 0.40177 5.835 delta_leisure_wknd 0.2949 0.07139 4.1303 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 alpha_base 5208.126632 -0.014792 -0.008291 -0.001349 -0.002184 gamma_work -0.014792 0.088489 -4.7924e-04 -3.032e-05 -5.857e-05 gamma_school -0.008291 -4.7924e-04 0.343272 -4.525e-06 -1.887e-05 gamma_shopping -0.001349 -3.032e-05 -4.525e-06 7.2727e-04 3.078e-07 gamma_private -0.002184 -5.857e-05 -1.887e-05 3.078e-07 0.002538 gamma_leisure -0.006809 -5.8250e-04 -1.7293e-04 -2.710e-06 -1.059e-05 delta_work 0.005651 -0.002152 1.2331e-04 4.549e-06 6.641e-06 delta_school 0.005585 -1.0685e-04 -2.2872e-04 2.067e-06 7.219e-07 delta_shopping 0.005596 -6.181e-05 3.816e-06 -1.6228e-04 -6.371e-07 delta_private 0.005613 -5.705e-05 1.852e-06 3.014e-07 -2.1534e-04 delta_leisure 0.005591 -4.349e-05 3.477e-05 -2.693e-06 -8.975e-07 delta_work_FT -1.7951e-04 -0.004915 -1.0582e-04 -6.964e-06 -7.118e-06 delta_work_wknd 2.1220e-04 0.006179 -7.759e-05 1.055e-05 6.501e-06 delta_school_young -2.720e-05 7.568e-05 -0.003040 -4.637e-06 -4.827e-07 delta_leisure_wknd 2.4181e-04 8.532e-05 -6.774e-05 1.083e-05 7.623e-06 gamma_leisure delta_work delta_school delta_shopping delta_private alpha_base -0.006809 0.005651 0.005585 0.005596 0.005613 gamma_work -5.8250e-04 -0.002152 -1.0685e-04 -6.181e-05 -5.705e-05 gamma_school -1.7293e-04 1.2331e-04 -2.2872e-04 3.816e-06 1.852e-06 gamma_shopping -2.710e-06 4.549e-06 2.067e-06 -1.6228e-04 3.014e-07 gamma_private -1.059e-05 6.641e-06 7.219e-07 -6.371e-07 -2.1534e-04 gamma_leisure 0.012999 4.638e-05 -1.806e-05 -2.059e-05 -1.487e-05 delta_work 4.638e-05 0.004999 3.8084e-04 3.9198e-04 3.8867e-04 delta_school -1.806e-05 3.8084e-04 0.050438 3.8367e-04 3.8733e-04 delta_shopping -2.059e-05 3.9198e-04 3.8367e-04 0.001726 3.8697e-04 delta_private -1.487e-05 3.8867e-04 3.8733e-04 3.8697e-04 0.002290 delta_leisure -8.8792e-04 5.1000e-04 3.7852e-04 3.8834e-04 3.8100e-04 delta_work_FT -2.780e-05 -0.004565 2.160e-06 -7.660e-06 -1.094e-05 delta_work_wknd -2.842e-05 -8.7597e-04 3.903e-05 3.423e-06 2.608e-05 delta_school_young 1.450e-07 2.841e-05 -0.050218 4.725e-06 -6.547e-06 delta_leisure_wknd -5.3943e-04 -3.6577e-04 5.464e-05 2.392e-05 4.254e-05 delta_leisure delta_work_FT delta_work_wknd delta_school_young delta_leisure_wknd alpha_base 0.005591 -1.7951e-04 2.1220e-04 -2.720e-05 2.4181e-04 gamma_work -4.349e-05 -0.004915 0.006179 7.568e-05 8.532e-05 gamma_school 3.477e-05 -1.0582e-04 -7.759e-05 -0.003040 -6.774e-05 gamma_shopping -2.693e-06 -6.964e-06 1.055e-05 -4.637e-06 1.083e-05 gamma_private -8.975e-07 -7.118e-06 6.501e-06 -4.827e-07 7.623e-06 gamma_leisure -8.8792e-04 -2.780e-05 -2.842e-05 1.450e-07 -5.3943e-04 delta_work 5.1000e-04 -0.004565 -8.7597e-04 2.841e-05 -3.6577e-04 delta_school 3.7852e-04 2.160e-06 3.903e-05 -0.050218 5.464e-05 delta_shopping 3.8834e-04 -7.660e-06 3.423e-06 4.725e-06 2.392e-05 delta_private 3.8100e-04 -1.094e-05 2.608e-05 -6.547e-06 4.254e-05 delta_leisure 0.001956 -3.144e-06 -3.6992e-04 -7.159e-06 -0.001715 delta_work_FT -3.144e-06 0.006654 -0.001224 -5.774e-05 -1.489e-06 delta_work_wknd -3.6992e-04 -0.001224 0.020415 -1.384e-05 0.001190 delta_school_young -7.159e-06 -5.774e-05 -1.384e-05 0.066308 6.147e-06 delta_leisure_wknd -0.001715 -1.489e-06 0.001190 6.147e-06 0.005097 Robust covariance matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private alpha_base 0.015087 0.006719 0.006149 7.4961e-04 5.6949e-04 gamma_work 0.006719 0.079090 0.011724 -3.0701e-04 0.001014 gamma_school 0.006149 0.011724 0.300429 -6.2122e-04 7.5428e-04 gamma_shopping 7.4961e-04 -3.0701e-04 -6.2122e-04 9.5379e-04 1.3060e-04 gamma_private 5.6949e-04 0.001014 7.5428e-04 1.3060e-04 0.004573 gamma_leisure 0.003727 0.003811 0.001502 4.8375e-04 -4.5304e-04 delta_work -0.001252 -0.002909 -0.002683 2.3990e-04 -7.3746e-04 delta_school 0.010630 0.009100 0.045071 4.1163e-04 1.0307e-04 delta_shopping 8.1895e-04 -9.9807e-04 0.001006 -2.4732e-04 -2.4934e-04 delta_private 7.5243e-04 0.001046 0.001523 -7.425e-05 -1.2222e-04 delta_leisure 8.902e-05 -0.001758 0.002269 -5.746e-05 -2.1638e-04 delta_work_FT -0.001022 -0.012014 0.003376 -1.3694e-04 4.7884e-04 delta_work_wknd 0.002976 0.020238 0.001382 8.685e-05 6.9013e-04 delta_school_young -0.010313 -0.004019 -0.046995 -1.4011e-04 2.4370e-04 delta_leisure_wknd -6.407e-05 9.0876e-04 0.001588 -6.766e-05 3.241e-05 gamma_leisure delta_work delta_school delta_shopping delta_private alpha_base 0.003727 -0.001252 0.010630 8.1895e-04 7.5243e-04 gamma_work 0.003811 -0.002909 0.009100 -9.9807e-04 0.001046 gamma_school 0.001502 -0.002683 0.045071 0.001006 0.001523 gamma_shopping 4.8375e-04 2.3990e-04 4.1163e-04 -2.4732e-04 -7.425e-05 gamma_private -4.5304e-04 -7.3746e-04 1.0307e-04 -2.4934e-04 -1.2222e-04 gamma_leisure 0.015959 8.2697e-04 0.005251 -6.8344e-04 -6.2043e-04 delta_work 8.2697e-04 0.013327 0.004196 5.7882e-04 -4.0313e-04 delta_school 0.005251 0.004196 0.119515 -3.5682e-04 8.7799e-04 delta_shopping -6.8344e-04 5.7882e-04 -3.5682e-04 0.002716 7.1246e-04 delta_private -6.2043e-04 -4.0313e-04 8.7799e-04 7.1246e-04 0.003829 delta_leisure -0.001664 8.538e-05 3.5050e-04 8.8867e-04 0.001031 delta_work_FT -0.001236 -0.013172 -0.005040 -2.0933e-04 4.0090e-04 delta_work_wknd 0.003070 9.7608e-04 0.011725 -0.001205 -2.5945e-04 delta_school_young -0.004576 -0.008306 -0.119799 4.4853e-04 -0.001116 delta_leisure_wknd 4.1975e-04 1.5147e-04 -1.7540e-04 2.4589e-04 4.569e-06 delta_leisure delta_work_FT delta_work_wknd delta_school_young delta_leisure_wknd alpha_base 8.902e-05 -0.001022 0.002976 -0.010313 -6.407e-05 gamma_work -0.001758 -0.012014 0.020238 -0.004019 9.0876e-04 gamma_school 0.002269 0.003376 0.001382 -0.046995 0.001588 gamma_shopping -5.746e-05 -1.3694e-04 8.685e-05 -1.4011e-04 -6.766e-05 gamma_private -2.1638e-04 4.7884e-04 6.9013e-04 2.4370e-04 3.241e-05 gamma_leisure -0.001664 -0.001236 0.003070 -0.004576 4.1975e-04 delta_work 8.538e-05 -0.013172 9.7608e-04 -0.008306 1.5147e-04 delta_school 3.5050e-04 -0.005040 0.011725 -0.119799 -1.7540e-04 delta_shopping 8.8867e-04 -2.0933e-04 -0.001205 4.4853e-04 2.4589e-04 delta_private 0.001031 4.0090e-04 -2.5945e-04 -0.001116 4.569e-06 delta_leisure 0.003187 5.8629e-04 -8.7439e-04 -2.9211e-04 -0.001780 delta_work_FT 5.8629e-04 0.018182 -0.006396 0.008273 -3.0016e-04 delta_work_wknd -8.7439e-04 -0.006396 0.038181 -0.005667 2.4376e-04 delta_school_young -2.9211e-04 0.008273 -0.005667 0.161416 0.001891 delta_leisure_wknd -0.001780 -3.0016e-04 2.4376e-04 0.001891 0.005471 Classical correlation matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private alpha_base 1.000000 -6.8902e-04 -1.9608e-04 -6.9336e-04 -6.0063e-04 gamma_work -6.8902e-04 1.000000 -0.002750 -0.003780 -0.003909 gamma_school -1.9608e-04 -0.002750 1.000000 -2.8640e-04 -6.3932e-04 gamma_shopping -6.9336e-04 -0.003780 -2.8640e-04 1.000000 2.2659e-04 gamma_private -6.0063e-04 -0.003909 -6.3932e-04 2.2659e-04 1.000000 gamma_leisure -8.2754e-04 -0.017175 -0.002589 -8.8145e-04 -0.001845 delta_work 0.001108 -0.102325 0.002977 0.002386 0.001865 delta_school 3.4458e-04 -0.001599 -0.001738 3.4120e-04 6.381e-05 delta_shopping 0.001867 -0.005002 1.5679e-04 -0.144863 -3.0446e-04 delta_private 0.001625 -0.004008 6.607e-05 2.3359e-04 -0.089334 delta_leisure 0.001752 -0.003306 0.001342 -0.002258 -4.0282e-04 delta_work_FT -3.049e-05 -0.202556 -0.002214 -0.003166 -0.001732 delta_work_wknd 2.058e-05 0.145372 -9.2690e-04 0.002737 9.0311e-04 delta_school_young -1.463e-06 9.8796e-04 -0.020152 -6.6781e-04 -3.721e-05 delta_leisure_wknd 4.693e-05 0.004018 -0.001619 0.005627 0.002120 gamma_leisure delta_work delta_school delta_shopping delta_private alpha_base -8.2754e-04 0.001108 3.4458e-04 0.001867 0.001625 gamma_work -0.017175 -0.102325 -0.001599 -0.005002 -0.004008 gamma_school -0.002589 0.002977 -0.001738 1.5679e-04 6.607e-05 gamma_shopping -8.8145e-04 0.002386 3.4120e-04 -0.144863 2.3359e-04 gamma_private -0.001845 0.001865 6.381e-05 -3.0446e-04 -0.089334 gamma_leisure 1.000000 0.005754 -7.0524e-04 -0.004348 -0.002726 delta_work 0.005754 1.000000 0.023985 0.133468 0.114888 delta_school -7.0524e-04 0.023985 1.000000 0.041125 0.036042 delta_shopping -0.004348 0.133468 0.041125 1.000000 0.194681 delta_private -0.002726 0.114888 0.036042 0.194681 1.000000 delta_leisure -0.176080 0.163094 0.038106 0.211361 0.180022 delta_work_FT -0.002989 -0.791508 1.1792e-04 -0.002261 -0.002804 delta_work_wknd -0.001744 -0.086715 0.001216 5.7672e-04 0.003815 delta_school_young 4.939e-06 0.001560 -0.868346 4.4176e-04 -5.3133e-04 delta_leisure_wknd -0.066271 -0.072463 0.003408 0.008064 0.012453 delta_leisure delta_work_FT delta_work_wknd delta_school_young delta_leisure_wknd alpha_base 0.001752 -3.049e-05 2.058e-05 -1.463e-06 4.693e-05 gamma_work -0.003306 -0.202556 0.145372 9.8796e-04 0.004018 gamma_school 0.001342 -0.002214 -9.2690e-04 -0.020152 -0.001619 gamma_shopping -0.002258 -0.003166 0.002737 -6.6781e-04 0.005627 gamma_private -4.0282e-04 -0.001732 9.0311e-04 -3.721e-05 0.002120 gamma_leisure -0.176080 -0.002989 -0.001744 4.939e-06 -0.066271 delta_work 0.163094 -0.791508 -0.086715 0.001560 -0.072463 delta_school 0.038106 1.1792e-04 0.001216 -0.868346 0.003408 delta_shopping 0.211361 -0.002261 5.7672e-04 4.4176e-04 0.008064 delta_private 0.180022 -0.002804 0.003815 -5.3133e-04 0.012453 delta_leisure 1.000000 -8.7142e-04 -0.058535 -6.2855e-04 -0.543123 delta_work_FT -8.7142e-04 1.000000 -0.104998 -0.002749 -2.5568e-04 delta_work_wknd -0.058535 -0.104998 1.000000 -3.7628e-04 0.116656 delta_school_young -6.2855e-04 -0.002749 -3.7628e-04 1.000000 3.3437e-04 delta_leisure_wknd -0.543123 -2.5568e-04 0.116656 3.3437e-04 1.000000 Robust correlation matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private alpha_base 1.000000 0.19452 0.09133 0.19761 0.068559 gamma_work 0.194517 1.00000 0.07606 -0.03535 0.053337 gamma_school 0.091328 0.07606 1.00000 -0.03670 0.020349 gamma_shopping 0.197608 -0.03535 -0.03670 1.00000 0.062531 gamma_private 0.068559 0.05334 0.02035 0.06253 1.000000 gamma_leisure 0.240220 0.10727 0.02169 0.12399 -0.053030 delta_work -0.088282 -0.08960 -0.04240 0.06729 -0.094463 delta_school 0.250321 0.09359 0.23785 0.03855 0.004409 delta_shopping 0.127933 -0.06810 0.03522 -0.15366 -0.070746 delta_private 0.099001 0.06009 0.04491 -0.03886 -0.029207 delta_leisure 0.012838 -0.11072 0.07331 -0.03295 -0.056676 delta_work_FT -0.061707 -0.31682 0.04567 -0.03289 0.052511 delta_work_wknd 0.124007 0.36828 0.01290 0.01439 0.052227 delta_school_young -0.208990 -0.03557 -0.21341 -0.01129 0.008969 delta_leisure_wknd -0.007052 0.04369 0.03918 -0.02962 0.006479 gamma_leisure delta_work delta_school delta_shopping delta_private alpha_base 0.24022 -0.08828 0.250321 0.12793 0.09900 gamma_work 0.10727 -0.08960 0.093595 -0.06810 0.06009 gamma_school 0.02169 -0.04240 0.237854 0.03522 0.04491 gamma_shopping 0.12399 0.06729 0.038554 -0.15366 -0.03886 gamma_private -0.05303 -0.09446 0.004409 -0.07075 -0.02921 gamma_leisure 1.00000 0.05671 0.120245 -0.10381 -0.07937 delta_work 0.05671 1.00000 0.105150 0.09621 -0.05644 delta_school 0.12024 0.10515 1.000000 -0.01980 0.04104 delta_shopping -0.10381 0.09621 -0.019805 1.00000 0.22094 delta_private -0.07937 -0.05644 0.041045 0.22094 1.00000 delta_leisure -0.23332 0.01310 0.017959 0.30205 0.29516 delta_work_FT -0.07255 -0.84620 -0.108126 -0.02979 0.04805 delta_work_wknd 0.12439 0.04327 0.173569 -0.11837 -0.02146 delta_school_young -0.09016 -0.17908 -0.862522 0.02142 -0.04490 delta_leisure_wknd 0.04492 0.01774 -0.006859 0.06379 9.9823e-04 delta_leisure delta_work_FT delta_work_wknd delta_school_young delta_leisure_wknd alpha_base 0.01284 -0.06171 0.12401 -0.208990 -0.007052 gamma_work -0.11072 -0.31682 0.36828 -0.035574 0.043686 gamma_school 0.07331 0.04567 0.01290 -0.213406 0.039180 gamma_shopping -0.03295 -0.03289 0.01439 -0.011292 -0.029620 gamma_private -0.05668 0.05251 0.05223 0.008969 0.006479 gamma_leisure -0.23332 -0.07255 0.12439 -0.090155 0.044921 delta_work 0.01310 -0.84620 0.04327 -0.179081 0.017739 delta_school 0.01796 -0.10813 0.17357 -0.862522 -0.006859 delta_shopping 0.30205 -0.02979 -0.11837 0.021421 0.063786 delta_private 0.29516 0.04805 -0.02146 -0.044899 9.9823e-04 delta_leisure 1.00000 0.07702 -0.07927 -0.012879 -0.426300 delta_work_FT 0.07702 1.00000 -0.24276 0.152707 -0.030095 delta_work_wknd -0.07927 -0.24276 1.00000 -0.072185 0.016865 delta_school_young -0.01288 0.15271 -0.07219 1.000000 0.063647 delta_leisure_wknd -0.42630 -0.03009 0.01687 0.063647 1.000000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 2146576 1.310647e-06 9902059 1.643679e-05 9880000 2.639113e-05 6292582 3.777656e-05 3051038 6.564049e-05 8415029 6.887255e-05 8530000 7.160709e-05 9230000 7.424508e-05 7560000 8.724935e-05 8494828 9.341758e-05 1226238 9.510175e-05 5436896 9.791594e-05 7177352 9.979053e-05 6689995 1.057296e-04 1566942 1.153956e-04 3730000 1.300514e-04 2942411 1.303291e-04 9216479 1.404896e-04 6490000 1.466031e-04 2119561 1.511211e-04 Changes in parameter estimates from starting values: Initial Estimate Difference alpha_base 0.000 -14.7694 -14.7694 gamma_work 1.000 4.8990 3.8990 gamma_school 1.000 3.0985 2.0985 gamma_shopping 1.000 0.4264 -0.5736 gamma_private 1.000 0.6200 -0.3800 gamma_leisure 1.000 2.0957 1.0957 delta_work 0.000 -3.7172 -3.7172 delta_school 0.000 -7.4182 -7.4182 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 1.3249 1.3249 delta_work_wknd 0.000 -2.8609 -2.8609 delta_school_young 0.000 2.3441 2.3441 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 modelName "Apollo_example_12" modelDescr "MDCEV model on time use data, alpha-gamma profile with outside good and socio-demographics" indivID "indivID" debug "FALSE" nCores "1" workInLogs "FALSE" seed "13" mixing "FALSE" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" panelData "TRUE" analyticGrad "TRUE" Hessian routines attempted -------------- numerical second derivative of LL (using numDeriv) Scaling used in computing Hessian -------------- Value alpha_base 14.7693880 gamma_work 4.8990275 gamma_school 3.0984831 gamma_shopping 0.4264319 gamma_private 0.6200098 gamma_leisure 2.0956980 delta_work 3.7172467 delta_school 7.4182052 delta_shopping 3.8043610 delta_private 4.2786322 delta_leisure 3.4000785 delta_work_FT 1.3248508 delta_work_wknd 2.8608863 delta_school_young 2.3441115 delta_leisure_wknd 0.2948814 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 budget budget = budget/60 ### Define settings for MDCEV model mdcev_settings <- list(alternatives = alternatives, avail = avail, continuousChoice = continuousChoice, V = V, alpha = alpha, gamma = gamma, sigma = sig, cost = cost, budget = budget) ### 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)