Model run by stephane.hess using Apollo 0.3.9 on R 4.5.3 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 : eMDC_without_budget Model description : Extended MDC with complementarity and substitution, with unobserved budget and socio-demographics Model run at : 2026-07-05 16:15:35.083101 Estimation method : bgw Estimation diagnosis : Relative function convergence (favorable) Optimisation diagnosis : Maximum found hessian properties : Negative definite maximum eigenvalue : -0.505977 reciprocal of condition number : 2.49338e-05 Number of individuals : 439 Number of rows in database : 1983 Number of modelled outcomes : 0 Number of cores used : 1 Model without mixing LL(start) : -14150.05 LL at equal shares, LL(0) : NA LL at observed shares, LL(C) : NA LL(final) : -10706.19 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 : 21452.38 BIC : NA Estimated parameters : 20 Time taken (hh:mm:ss) : 00:00:27.77 pre-estimation : 00:00:0.4 estimation : 00:00:8.01 post-estimation : 00:00:19.37 Iterations : 21 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) aFemale -0.04379 0.01926 -2.273 0.02402 -1.823 bWork -0.23735 0.04378 -5.422 0.07063 -3.360 bSchool -1.57792 0.12333 -12.794 0.17840 -8.845 bShopping -0.49566 0.03835 -12.924 0.04433 -11.181 bPrivate -0.71559 0.05310 -13.476 0.07125 -10.043 bLeisure -0.28175 0.03176 -8.872 0.03953 -7.127 bWork_FT 0.49399 0.05270 9.374 0.07776 6.353 bWork_wknd -1.11496 0.08952 -12.454 0.12981 -8.589 bSchool_young 0.63452 0.09572 6.629 0.13797 4.599 bLeisure_wknd 0.18285 0.04035 4.532 0.04081 4.480 gWork 7.42517 0.67255 11.040 0.88718 8.369 gSchool 8.00277 1.25628 6.370 1.52537 5.246 gShopping 2.45160 0.33280 7.367 0.56822 4.315 gPrivate 4.01146 0.50979 7.869 0.84721 4.735 gLeisure 5.61833 0.58335 9.631 0.89395 6.285 dWorkScho -0.20813 0.04501 -4.624 0.04848 -4.293 dWorkShop 0.00000 NA NA NA NA dWorkPriv 0.00000 NA NA NA NA dWorkLeis 0.00000 NA NA NA NA dSchoShop 0.00000 NA NA NA NA dSchoPriv 0.00000 NA NA NA NA dSchoLeis 0.00000 NA NA NA NA dShopPriv 0.10649 0.03110 3.424 0.02922 3.645 dShopLeis 0.10758 0.02566 4.192 0.02439 4.412 dPrivLeis 0.17178 0.02388 7.192 0.02607 6.589 sigma 0.70898 0.04624 15.333 0.07247 9.783 work school shopping private leisure Times available 1983.000000 1983.0000000 1983.0000000 1983.0000000 1983.000000 Times chosen 782.000000 60.0000000 557.0000000 396.0000000 808.000000 % chosen when avail. 39.435199 3.0257186 28.0887544 19.9697428 40.746344 Avg. consump. when avail. 2.830509 0.1110103 0.5286939 0.4372584 1.783728 Avg. consump. when chosen 7.177621 3.6688889 1.8822262 2.1896044 4.377640 Classical covariance matrix: aFemale bWork bSchool bShopping bPrivate bLeisure bWork_FT bWork_wknd bSchool_young bLeisure_wknd gWork gSchool aFemale 3.7106e-04 2.9692e-04 5.1883e-04 2.9514e-04 3.4566e-04 2.6302e-04 -1.3835e-04 1.8264e-04 -1.0998e-04 -4.292e-05 0.001760 0.001967 bWork 2.9692e-04 0.001916 0.001989 6.3722e-04 9.4367e-04 4.4987e-04 -0.001797 7.3747e-04 -7.1801e-04 -2.0054e-04 0.007375 0.009421 bSchool 5.1883e-04 0.001989 0.015210 0.003021 0.004821 0.001925 -0.003100 0.007174 -0.008573 -0.001141 0.060217 0.054669 bShopping 2.9514e-04 6.3722e-04 0.003021 0.001471 0.001409 6.4141e-04 -8.6470e-04 0.001953 -0.001167 -3.1152e-04 0.016568 0.017947 bPrivate 3.4566e-04 9.4367e-04 0.004821 0.001409 0.002820 9.2919e-04 -0.001384 0.003176 -0.001897 -5.1146e-04 0.026869 0.029081 bLeisure 2.6302e-04 4.4987e-04 0.001925 6.4141e-04 9.2919e-04 0.001009 -5.4856e-04 0.001208 -7.2213e-04 -6.9261e-04 0.010302 0.011174 bWork_FT -1.3835e-04 -0.001797 -0.003100 -8.6470e-04 -0.001384 -5.4856e-04 0.002777 -0.002220 0.001238 3.2875e-04 -0.019460 -0.018407 bWork_wknd 1.8264e-04 7.3747e-04 0.007174 0.001953 0.003176 0.001208 -0.002220 0.008015 -0.002929 -7.7017e-04 0.044292 0.045606 bSchool_young -1.0998e-04 -7.1801e-04 -0.008573 -0.001167 -0.001897 -7.2213e-04 0.001238 -0.002929 0.009162 4.5994e-04 -0.024712 -0.031480 bLeisure_wknd -4.292e-05 -2.0054e-04 -0.001141 -3.1152e-04 -5.1146e-04 -6.9261e-04 3.2875e-04 -7.7017e-04 4.5994e-04 0.001628 -0.006490 -0.007017 gWork 0.001760 0.007375 0.060217 0.016568 0.026869 0.010302 -0.019460 0.044292 -0.024712 -0.006490 0.452329 0.399992 gSchool 0.001967 0.009421 0.054669 0.017947 0.029081 0.011174 -0.018407 0.045606 -0.031480 -0.007017 0.399992 1.578232 gShopping 8.8534e-04 0.005237 0.030688 0.006933 0.013603 0.005086 -0.008852 0.020845 -0.012448 -0.003300 0.175479 0.189675 gPrivate 0.001307 0.007471 0.043610 0.011954 0.017003 0.007425 -0.012577 0.029599 -0.017675 -0.004624 0.249204 0.269373 gLeisure 0.001625 0.009314 0.054392 0.014623 0.024174 0.007334 -0.015687 0.036919 -0.022047 -0.006442 0.310835 0.335990 dWorkScho 3.105e-05 1.4865e-04 0.001181 4.4686e-04 7.3112e-04 2.7402e-04 -4.4670e-04 0.001212 -7.8065e-04 -1.7855e-04 0.011335 0.036429 dShopPriv 1.997e-05 -5.807e-05 -4.5365e-04 -1.9927e-04 -3.1990e-04 -4.618e-05 1.3190e-04 -3.2390e-04 1.9334e-04 5.092e-05 -0.002706 -0.002919 dShopLeis 2.219e-05 -1.225e-05 -1.6410e-04 -2.8430e-04 -3.645e-05 -8.761e-05 4.819e-05 -1.2430e-04 7.416e-05 7.379e-06 -0.001030 -0.001108 dPrivLeis 1.393e-05 -1.5050e-04 -0.001032 -2.4024e-04 -6.2738e-04 -1.8559e-04 2.9899e-04 -7.2168e-04 4.3084e-04 1.1785e-04 -0.006048 -0.006529 sigma -1.3696e-04 -8.1259e-04 -0.004763 -0.001300 -0.002108 -8.0795e-04 0.001374 -0.003236 0.001932 5.0936e-04 -0.027239 -0.029442 gShopping gPrivate gLeisure dWorkScho dShopPriv dShopLeis dPrivLeis sigma aFemale 8.8534e-04 0.001307 0.001625 3.105e-05 1.997e-05 2.219e-05 1.393e-05 -1.3696e-04 bWork 0.005237 0.007471 0.009314 1.4865e-04 -5.807e-05 -1.225e-05 -1.5050e-04 -8.1259e-04 bSchool 0.030688 0.043610 0.054392 0.001181 -4.5365e-04 -1.6410e-04 -0.001032 -0.004763 bShopping 0.006933 0.011954 0.014623 4.4686e-04 -1.9927e-04 -2.8430e-04 -2.4024e-04 -0.001300 bPrivate 0.013603 0.017003 0.024174 7.3112e-04 -3.1990e-04 -3.645e-05 -6.2738e-04 -0.002108 bLeisure 0.005086 0.007425 0.007334 2.7402e-04 -4.618e-05 -8.761e-05 -1.8559e-04 -8.0795e-04 bWork_FT -0.008852 -0.012577 -0.015687 -4.4670e-04 1.3190e-04 4.819e-05 2.9899e-04 0.001374 bWork_wknd 0.020845 0.029599 0.036919 0.001212 -3.2390e-04 -1.2430e-04 -7.2168e-04 -0.003236 bSchool_young -0.012448 -0.017675 -0.022047 -7.8065e-04 1.9334e-04 7.416e-05 4.3084e-04 0.001932 bLeisure_wknd -0.003300 -0.004624 -0.006442 -1.7855e-04 5.092e-05 7.379e-06 1.1785e-04 5.0936e-04 gWork 0.175479 0.249204 0.310835 0.011335 -0.002706 -0.001030 -0.006048 -0.027239 gSchool 0.189675 0.269373 0.335990 0.036429 -0.002919 -0.001108 -0.006529 -0.029442 gShopping 0.110754 0.125383 0.158179 0.004841 -0.001106 6.6191e-04 -0.003175 -0.013774 gPrivate 0.125383 0.259889 0.221022 0.006873 -0.001063 -0.001026 -0.003193 -0.019560 gLeisure 0.158179 0.221022 0.340302 0.008573 -0.002584 -2.2161e-04 -0.005431 -0.024398 dWorkScho 0.004841 0.006873 0.008573 0.002026 -7.628e-05 -2.973e-05 -1.6900e-04 -7.5148e-04 dShopPriv -0.001106 -0.001063 -0.002584 -7.628e-05 9.6746e-04 -4.708e-05 -9.924e-06 2.1251e-04 dShopLeis 6.6191e-04 -0.001026 -2.2161e-04 -2.973e-05 -4.708e-05 6.5861e-04 -1.396e-05 8.091e-05 dPrivLeis -0.003175 -0.003193 -0.005431 -1.6900e-04 -9.924e-06 -1.396e-05 5.7039e-04 4.7487e-04 sigma -0.013774 -0.019560 -0.024398 -7.5148e-04 2.1251e-04 8.091e-05 4.7487e-04 0.002138 Robust covariance matrix: aFemale bWork bSchool bShopping bPrivate bLeisure bWork_FT bWork_wknd bSchool_young bLeisure_wknd gWork gSchool aFemale 5.7684e-04 6.5242e-04 9.4826e-04 4.6962e-04 5.4708e-04 4.1562e-04 -3.4287e-04 5.0550e-04 -4.9111e-04 -1.0410e-04 0.002863 0.003946 bWork 6.5242e-04 0.004989 0.006586 0.001822 0.002701 0.001010 -0.004696 0.003588 -0.003389 -3.5110e-04 0.028068 0.031642 bSchool 9.4826e-04 0.006586 0.031826 0.005054 0.010122 0.003717 -0.006883 0.015442 -0.017186 -0.002362 0.127878 0.183365 bShopping 4.6962e-04 0.001822 0.005054 0.001965 0.002298 0.001018 -0.001539 0.002925 -0.001892 -3.1324e-04 0.025213 0.030511 bPrivate 5.4708e-04 0.002701 0.010122 0.002298 0.005077 0.001734 -0.002771 0.006487 -0.003916 -8.5379e-04 0.052729 0.060519 bLeisure 4.1562e-04 0.001010 0.003717 0.001018 0.001734 0.001563 -8.7800e-04 0.002301 -0.001406 -8.0421e-04 0.017780 0.023495 bWork_FT -3.4287e-04 -0.004696 -0.006883 -0.001539 -0.002771 -8.7800e-04 0.006047 -0.005471 0.003335 6.3304e-04 -0.041489 -0.038336 bWork_wknd 5.0550e-04 0.003588 0.015442 0.002925 0.006487 0.002301 -0.005471 0.016851 -0.005877 -0.001907 0.096979 0.097216 bSchool_young -4.9111e-04 -0.003389 -0.017186 -0.001892 -0.003916 -0.001406 0.003335 -0.005877 0.019035 0.001205 -0.050083 -0.136183 bLeisure_wknd -1.0410e-04 -3.5110e-04 -0.002362 -3.1324e-04 -8.5379e-04 -8.0421e-04 6.3304e-04 -0.001907 0.001205 0.001666 -0.012305 -0.017108 gWork 0.002863 0.028068 0.127878 0.025213 0.052729 0.017780 -0.041489 0.096979 -0.050083 -0.012305 0.787092 0.836297 gSchool 0.003946 0.031642 0.183365 0.030511 0.060519 0.023495 -0.038336 0.097216 -0.136183 -0.017108 0.836297 2.326763 gShopping 0.002380 0.018892 0.077640 0.014528 0.031148 0.010283 -0.021486 0.050339 -0.031350 -0.006529 0.413368 0.467353 gPrivate 0.003065 0.025034 0.113860 0.023910 0.045175 0.015565 -0.031561 0.075891 -0.046006 -0.009873 0.628469 0.703555 gLeisure 0.002730 0.030868 0.133462 0.026042 0.052260 0.015855 -0.037049 0.086711 -0.054512 -0.011437 0.718529 0.835895 dWorkScho 1.1401e-04 8.0106e-04 0.004247 7.1369e-04 0.001456 5.7080e-04 -0.001146 0.002734 -0.003544 -4.8542e-04 0.022232 0.049236 dShopPriv 4.760e-05 -3.4513e-04 -0.001181 -3.3621e-04 -6.3161e-04 -8.561e-05 4.3234e-04 -8.6954e-04 3.6751e-04 6.419e-05 -0.007170 -0.009068 dShopLeis 4.201e-05 -4.269e-05 1.2278e-04 -2.0461e-04 2.364e-05 -5.320e-05 -1.1387e-04 3.8811e-04 -8.389e-05 -7.069e-05 0.001746 0.002666 dPrivLeis 1.779e-05 -6.3380e-04 -0.002466 -4.1351e-04 -0.001142 -3.2234e-04 7.7259e-04 -0.001583 8.0701e-04 2.4269e-04 -0.012706 -0.012381 sigma -2.6704e-04 -0.002779 -0.011254 -0.002390 -0.004637 -0.001656 0.003130 -0.007224 0.004419 9.6802e-04 -0.060414 -0.070093 gShopping gPrivate gLeisure dWorkScho dShopPriv dShopLeis dPrivLeis sigma aFemale 0.002380 0.003065 0.002730 1.1401e-04 4.760e-05 4.201e-05 1.779e-05 -2.6704e-04 bWork 0.018892 0.025034 0.030868 8.0106e-04 -3.4513e-04 -4.269e-05 -6.3380e-04 -0.002779 bSchool 0.077640 0.113860 0.133462 0.004247 -0.001181 1.2278e-04 -0.002466 -0.011254 bShopping 0.014528 0.023910 0.026042 7.1369e-04 -3.3621e-04 -2.0461e-04 -4.1351e-04 -0.002390 bPrivate 0.031148 0.045175 0.052260 0.001456 -6.3161e-04 2.364e-05 -0.001142 -0.004637 bLeisure 0.010283 0.015565 0.015855 5.7080e-04 -8.561e-05 -5.320e-05 -3.2234e-04 -0.001656 bWork_FT -0.021486 -0.031561 -0.037049 -0.001146 4.3234e-04 -1.1387e-04 7.7259e-04 0.003130 bWork_wknd 0.050339 0.075891 0.086711 0.002734 -8.6954e-04 3.8811e-04 -0.001583 -0.007224 bSchool_young -0.031350 -0.046006 -0.054512 -0.003544 3.6751e-04 -8.389e-05 8.0701e-04 0.004419 bLeisure_wknd -0.006529 -0.009873 -0.011437 -4.8542e-04 6.419e-05 -7.069e-05 2.4269e-04 9.6802e-04 gWork 0.413368 0.628469 0.718529 0.022232 -0.007170 0.001746 -0.012706 -0.060414 gSchool 0.467353 0.703555 0.835895 0.049236 -0.009068 0.002666 -0.012381 -0.070093 gShopping 0.322877 0.359718 0.423048 0.011279 -0.003848 0.002128 -0.008154 -0.035423 gPrivate 0.359718 0.717768 0.617653 0.019125 -0.005878 0.001127 -0.010641 -0.052897 gLeisure 0.423048 0.617653 0.799150 0.020572 -0.007188 0.001270 -0.013648 -0.060958 dWorkScho 0.011279 0.019125 0.020572 0.002350 -2.2200e-04 1.0276e-04 -2.8771e-04 -0.001715 dShopPriv -0.003848 -0.005878 -0.007188 -2.2200e-04 8.5373e-04 -7.959e-05 1.1605e-04 6.1397e-04 dShopLeis 0.002128 0.001127 0.001270 1.0276e-04 -7.959e-05 5.9470e-04 -3.149e-05 -2.917e-05 dPrivLeis -0.008154 -0.010641 -0.013648 -2.8771e-04 1.1605e-04 -3.149e-05 6.7970e-04 0.001112 sigma -0.035423 -0.052897 -0.060958 -0.001715 6.1397e-04 -2.917e-05 0.001112 0.005252 Classical correlation matrix: aFemale bWork bSchool bShopping bPrivate bLeisure bWork_FT bWork_wknd bSchool_young bLeisure_wknd gWork gSchool aFemale 1.00000 0.35210 0.21839 0.3995 0.33794 0.42995 -0.13629 0.10591 -0.05965 -0.055220 0.13583 0.08129 bWork 0.35210 1.00000 0.36841 0.3795 0.40595 0.32358 -0.77884 0.18817 -0.17135 -0.113543 0.25050 0.17130 bSchool 0.21839 0.36841 1.00000 0.6387 0.73624 0.49141 -0.47699 0.64980 -0.72625 -0.229286 0.72599 0.35285 bShopping 0.39950 0.37953 0.63866 1.0000 0.69171 0.52663 -0.42784 0.56873 -0.31779 -0.201329 0.64234 0.37249 bPrivate 0.33794 0.40595 0.73624 0.6917 1.00000 0.55101 -0.49463 0.66820 -0.37330 -0.238739 0.75238 0.43594 bLeisure 0.42995 0.32358 0.49141 0.5266 0.55101 1.00000 -0.32778 0.42503 -0.23756 -0.540558 0.48234 0.28006 bWork_FT -0.13629 -0.77884 -0.47699 -0.4278 -0.49463 -0.32778 1.00000 -0.47063 0.24537 0.154622 -0.54906 -0.27803 bWork_wknd 0.10591 0.18817 0.64980 0.5687 0.66820 0.42503 -0.47063 1.00000 -0.34183 -0.213230 0.73562 0.40550 bSchool_young -0.05965 -0.17135 -0.72625 -0.3178 -0.37330 -0.23756 0.24537 -0.34183 1.00000 0.119097 -0.38387 -0.26179 bLeisure_wknd -0.05522 -0.11354 -0.22929 -0.2013 -0.23874 -0.54056 0.15462 -0.21323 0.11910 1.000000 -0.23917 -0.13843 gWork 0.13583 0.25050 0.72599 0.6423 0.75238 0.48234 -0.54906 0.73562 -0.38387 -0.239169 1.00000 0.47341 gSchool 0.08129 0.17130 0.35285 0.3725 0.43594 0.28006 -0.27803 0.40550 -0.26179 -0.138435 0.47341 1.00000 gShopping 0.13810 0.35946 0.74770 0.5432 0.76979 0.48127 -0.50471 0.69965 -0.39076 -0.245749 0.78401 0.45368 gPrivate 0.13311 0.33475 0.69364 0.6114 0.62812 0.45863 -0.46816 0.64855 -0.36222 -0.224810 0.72683 0.42061 gLeisure 0.14457 0.36473 0.75603 0.6536 0.78039 0.39588 -0.51028 0.70694 -0.39483 -0.273728 0.79226 0.45847 dWorkScho 0.03581 0.07544 0.21281 0.2589 0.30589 0.19169 -0.18832 0.30076 -0.18119 -0.098318 0.37444 0.64423 dShopPriv 0.03334 -0.04264 -0.11826 -0.1671 -0.19369 -0.04675 0.08047 -0.11632 0.06494 0.040575 -0.12936 -0.07470 dShopLeis 0.04489 -0.01090 -0.05185 -0.2888 -0.02675 -0.10750 0.03563 -0.05410 0.03019 0.007126 -0.05965 -0.03437 dPrivLeis 0.03029 -0.14395 -0.35030 -0.2623 -0.49471 -0.24469 0.23756 -0.33753 0.18847 0.122307 -0.37653 -0.21762 sigma -0.15376 -0.40144 -0.83530 -0.7330 -0.85870 -0.55021 0.56384 -0.78166 0.43657 0.273037 -0.87590 -0.50685 gShopping gPrivate gLeisure dWorkScho dShopPriv dShopLeis dPrivLeis sigma aFemale 0.13810 0.13311 0.14457 0.03581 0.03334 0.044887 0.03029 -0.15376 bWork 0.35946 0.33475 0.36473 0.07544 -0.04264 -0.010902 -0.14395 -0.40144 bSchool 0.74770 0.69364 0.75603 0.21281 -0.11826 -0.051849 -0.35030 -0.83530 bShopping 0.54320 0.61141 0.65362 0.25886 -0.16705 -0.288849 -0.26228 -0.73296 bPrivate 0.76979 0.62812 0.78039 0.30589 -0.19369 -0.026746 -0.49471 -0.85870 bLeisure 0.48127 0.45863 0.39588 0.19169 -0.04675 -0.107498 -0.24469 -0.55021 bWork_FT -0.50471 -0.46816 -0.51028 -0.18832 0.08047 0.035630 0.23756 0.56384 bWork_wknd 0.69965 0.64855 0.70694 0.30076 -0.11632 -0.054104 -0.33753 -0.78166 bSchool_young -0.39076 -0.36222 -0.39483 -0.18119 0.06494 0.030190 0.18847 0.43657 bLeisure_wknd -0.24575 -0.22481 -0.27373 -0.09832 0.04057 0.007126 0.12231 0.27304 gWork 0.78401 0.72683 0.79226 0.37444 -0.12936 -0.059654 -0.37653 -0.87590 gSchool 0.45368 0.42061 0.45847 0.64423 -0.07470 -0.034367 -0.21762 -0.50685 gShopping 1.00000 0.73904 0.81478 0.32318 -0.10683 0.077501 -0.39942 -0.89508 gPrivate 0.73904 1.00000 0.74321 0.29951 -0.06704 -0.078423 -0.26221 -0.82980 gLeisure 0.81478 0.74321 1.00000 0.32648 -0.14243 -0.014803 -0.38982 -0.90450 dWorkScho 0.32318 0.29951 0.32648 1.00000 -0.05448 -0.025736 -0.15721 -0.36107 dShopPriv -0.10683 -0.06704 -0.14243 -0.05448 1.00000 -0.058980 -0.01336 0.14776 dShopLeis 0.07750 -0.07842 -0.01480 -0.02574 -0.05898 1.000000 -0.02278 0.06818 dPrivLeis -0.39942 -0.26221 -0.38982 -0.15721 -0.01336 -0.022778 1.00000 0.43001 sigma -0.89508 -0.82980 -0.90450 -0.36107 0.14776 0.068180 0.43001 1.00000 Robust correlation matrix: aFemale bWork bSchool bShopping bPrivate bLeisure bWork_FT bWork_wknd bSchool_young bLeisure_wknd gWork gSchool aFemale 1.00000 0.38460 0.22131 0.4411 0.31969 0.43772 -0.18359 0.1621 -0.14821 -0.10620 0.13436 0.10771 bWork 0.38460 1.00000 0.52267 0.5819 0.53665 0.36164 -0.85494 0.3913 -0.34774 -0.12180 0.44792 0.29370 bSchool 0.22131 0.52267 1.00000 0.6391 0.79629 0.52702 -0.49618 0.6668 -0.69825 -0.32443 0.80796 0.67382 bShopping 0.44109 0.58189 0.63909 1.0000 0.72758 0.58108 -0.44637 0.5083 -0.30932 -0.17314 0.64109 0.45121 bPrivate 0.31969 0.53665 0.79629 0.7276 1.00000 0.61546 -0.50014 0.7013 -0.39833 -0.29361 0.83413 0.55682 bLeisure 0.43772 0.36164 0.52702 0.5811 0.61546 1.00000 -0.28560 0.4483 -0.25771 -0.49844 0.50694 0.38961 bWork_FT -0.18359 -0.85494 -0.49618 -0.4464 -0.50014 -0.28560 1.00000 -0.5420 0.31081 0.19947 -0.60138 -0.32320 bWork_wknd 0.16213 0.39131 0.66681 0.5083 0.70131 0.44834 -0.54196 1.0000 -0.32812 -0.35997 0.84207 0.49096 bSchool_young -0.14821 -0.34774 -0.69825 -0.3093 -0.39833 -0.25771 0.31081 -0.3281 1.00000 0.21394 -0.40917 -0.64710 bLeisure_wknd -0.10620 -0.12180 -0.32443 -0.1731 -0.29361 -0.49844 0.19947 -0.3600 0.21394 1.00000 -0.33985 -0.27482 gWork 0.13436 0.44792 0.80796 0.6411 0.83413 0.50694 -0.60138 0.8421 -0.40917 -0.33985 1.00000 0.61798 gSchool 0.10771 0.29370 0.67382 0.4512 0.55682 0.38961 -0.32320 0.4910 -0.64710 -0.27482 0.61798 1.00000 gShopping 0.17437 0.47072 0.76591 0.5768 0.76933 0.45776 -0.48628 0.6825 -0.39989 -0.28153 0.81998 0.53920 gPrivate 0.15065 0.41835 0.75333 0.6366 0.74835 0.46472 -0.47906 0.6901 -0.39360 -0.28554 0.83614 0.54441 gLeisure 0.12716 0.48888 0.83685 0.6572 0.82046 0.44861 -0.53296 0.7472 -0.44198 -0.31349 0.90598 0.61300 dWorkScho 0.09791 0.23394 0.49107 0.3321 0.42151 0.29781 -0.30388 0.4344 -0.52986 -0.24533 0.51689 0.66578 dShopPriv 0.06783 -0.16723 -0.22663 -0.2596 -0.30338 -0.07411 0.19028 -0.2293 0.09117 0.05383 -0.27660 -0.20346 dShopLeis 0.07172 -0.02479 0.02822 -0.1893 0.01361 -0.05518 -0.06005 0.1226 -0.02493 -0.07103 0.08071 0.07168 dPrivLeis 0.02842 -0.34419 -0.53019 -0.3578 -0.61497 -0.31274 0.38109 -0.4677 0.22436 0.22809 -0.54934 -0.31133 sigma -0.15342 -0.54281 -0.87047 -0.7439 -0.89790 -0.57809 0.55547 -0.7678 0.44194 0.32729 -0.93962 -0.63405 gShopping gPrivate gLeisure dWorkScho dShopPriv dShopLeis dPrivLeis sigma aFemale 0.1744 0.15065 0.12716 0.09791 0.06783 0.07172 0.02842 -0.15342 bWork 0.4707 0.41835 0.48888 0.23394 -0.16723 -0.02479 -0.34419 -0.54281 bSchool 0.7659 0.75333 0.83685 0.49107 -0.22663 0.02822 -0.53019 -0.87047 bShopping 0.5768 0.63663 0.65715 0.33207 -0.25957 -0.18927 -0.35779 -0.74395 bPrivate 0.7693 0.74835 0.82046 0.42151 -0.30338 0.01361 -0.61497 -0.89790 bLeisure 0.4578 0.46472 0.44861 0.29781 -0.07411 -0.05518 -0.31274 -0.57809 bWork_FT -0.4863 -0.47906 -0.53296 -0.30388 0.19028 -0.06005 0.38109 0.55547 bWork_wknd 0.6825 0.69006 0.74721 0.43436 -0.22925 0.12260 -0.46766 -0.76782 bSchool_young -0.3999 -0.39360 -0.44198 -0.52986 0.09117 -0.02493 0.22436 0.44194 bLeisure_wknd -0.2815 -0.28554 -0.31349 -0.24533 0.05383 -0.07103 0.22809 0.32729 gWork 0.8200 0.83614 0.90598 0.51689 -0.27660 0.08071 -0.54934 -0.93962 gSchool 0.5392 0.54441 0.61300 0.66578 -0.20346 0.07168 -0.31133 -0.63405 gShopping 1.0000 0.74723 0.83283 0.40944 -0.23178 0.15355 -0.55040 -0.86020 gPrivate 0.7472 1.00000 0.81553 0.46561 -0.23746 0.05453 -0.48174 -0.86151 gLeisure 0.8328 0.81553 1.00000 0.47466 -0.27517 0.05824 -0.58561 -0.94089 dWorkScho 0.4094 0.46561 0.47466 1.00000 -0.15672 0.08692 -0.22762 -0.48809 dShopPriv -0.2318 -0.23746 -0.27517 -0.15672 1.00000 -0.11169 0.15235 0.28994 dShopLeis 0.1536 0.05453 0.05824 0.08692 -0.11169 1.00000 -0.04953 -0.01650 dPrivLeis -0.5504 -0.48174 -0.58561 -0.22762 0.15235 -0.04953 1.00000 0.58872 sigma -0.8602 -0.86151 -0.94089 -0.48809 0.28994 -0.01650 0.58872 1.00000 Settings and functions used in model definition: apollo_control -------------- Value modelDescr "Extended MDC with complementarity and substitution, with unobserved budget and socio-demographics" indivID "indivID" outputDirectory "output/" debug "FALSE" modelName "eMDC_without_budget" nCores "1" workInLogs "FALSE" seed "13" mixing "FALSE" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" calculateLLC "TRUE" analyticHessian "FALSE" dropLoopExpansion "FALSE" dropRedefCheck "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) apollo_probabilities ---------------------- function(apollo_beta, apollo_inputs, functionality="estimate"){ ### Initialise apollo_attach(apollo_beta, apollo_inputs) on.exit(apollo_detach(apollo_beta, apollo_inputs)) P = list() ### Prepare Inputs alts = c("work", "school", "shopping", "private", "leisure") nAlt = length(alts) ones = setNames(as.list(rep(1, nAlt)), alts) continuousChoice = list(work = t_a02/60, school = t_a03/60, shopping = t_a04/60, private = t_a05/60, leisure = t_leisure/60) utilities = list( work = bWork + bWork_FT*occ_full_time + bWork_wknd*weekend, school = bSchool + bSchool_young*(age<=30), shopping = bShopping, private = bPrivate, leisure = bLeisure + bLeisure_wknd*weekend ) gamma = list(work = gWork, school = gSchool, shopping = gShopping, private = gPrivate, leisure = gLeisure) delta = c(0, 0, 0, 0, 0, dWorkScho, 0, 0, 0, 0, dWorkShop, dSchoShop, 0, 0, 0, dWorkPriv, dSchoPriv, dShopPriv, 0, 0, dWorkLeis, dSchoLeis, dShopLeis, dPrivLeis, 0) delta = matrix(delta, nrow=nAlt, ncol=nAlt, byrow=TRUE) emdc_settings = list(continuousChoice = continuousChoice, avail = ones, utilityOutside = aFemale*female, utilities = utilities, gamma = gamma, delta = delta, cost = ones, sigma = sigma) P[["model"]] = apollo_emdc(emdc_settings, functionality) ### Comment out as necessary P = apollo_panelProd(P, apollo_inputs, functionality) P = apollo_prepareProb(P, apollo_inputs, functionality) return(P) }