Model run by stephane.hess using Apollo 0.2.8 on R 4.0.5 for Darwin. www.ApolloChoiceModelling.com Model name : eMDC1 Model description : Extended MDC with complementarity and substitution, with observed budget and socio-demographics Model run at : 2022-10-08 13:15:13 Estimation method : bfgs Model diagnosis : successful convergence 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) : -11825.17 LL at equal shares, LL(0) : Not applicable LL at observed shares, LL(C) : Not applicable LL(final) : -10577.74 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 : 21195.48 BIC : NA Estimated parameters : 20 Time taken (hh:mm:ss) : 00:02:27.19 pre-estimation : 00:00:6.59 estimation : 00:01:31.52 post-estimation : 00:00:49.08 Iterations : 70 Min abs eigenvalue of Hessian : 1.936392 Unconstrained optimisation. These outputs have had the scaling used in estimation applied to them. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) aFemale -0.10170 0.048090 -2.115 0.070622 -1.440 sigma 1.93186 0.049891 38.721 0.112363 17.193 gWork 3.32255 0.290612 11.433 0.344818 9.636 gSchool 3.38018 0.716505 4.718 0.740159 4.567 gShopping 0.44289 0.042784 10.352 0.056797 7.798 gPrivate 0.75062 0.093317 8.044 0.150413 4.990 gLeisure 1.71348 0.148360 11.549 0.198659 8.625 bWork -3.78915 0.112113 -33.798 0.169566 -22.346 bSchool -7.29802 0.216473 -33.713 0.342420 -21.313 bShopping -4.17530 0.077208 -54.078 0.106535 -39.192 bPrivate -4.76178 0.087121 -54.657 0.124695 -38.187 bLeisure -3.66114 0.074542 -49.115 0.099710 -36.718 bWork_FT 1.25682 0.122540 10.256 0.173837 7.230 bWork_wknd -2.88266 0.168900 -17.067 0.256829 -11.224 bSchool_young 1.74080 0.241184 7.218 0.347665 5.007 bLeisure_wknd 0.28309 0.106322 2.663 0.107187 2.641 dWorkScho -0.02103 0.007980 -2.636 0.008350 -2.519 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 0.01117 0.004331 2.580 0.004155 2.689 dShopLeis 0.01651 0.003263 5.059 0.003323 4.967 dPrivLeis 0.02324 0.002956 7.860 0.003208 7.243 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 sigma gWork gSchool gShopping gPrivate gLeisure aFemale 0.002313 -1.1360e-04 2.9602e-04 1.2527e-04 7.987e-05 2.7601e-04 3.2831e-04 sigma -1.1360e-04 0.002489 -0.006844 -0.006525 -0.001113 -0.002218 -0.004140 gWork 2.9602e-04 -0.006844 0.084456 0.026281 0.003030 0.006007 0.011049 gSchool 1.2527e-04 -0.006525 0.026281 0.513380 0.002898 0.005695 0.010564 gShopping 7.987e-05 -0.001113 0.003030 0.002898 0.001831 0.001003 0.001982 gPrivate 2.7601e-04 -0.002218 0.006007 0.005695 0.001003 0.008708 0.003825 gLeisure 3.2831e-04 -0.004140 0.011049 0.010564 0.001982 0.003825 0.022011 bWork 0.001636 -0.001197 -0.002829 8.6066e-04 5.5770e-04 0.001195 0.002118 bSchool 0.001676 -0.005595 0.014383 -1.9213e-04 0.002520 0.005097 0.009404 bShopping 0.001385 -0.001698 0.004689 0.004374 -1.6429e-04 0.001577 0.002528 bPrivate 0.001310 -0.002262 0.006251 0.005889 0.001007 -2.0848e-04 0.003607 bLeisure 0.001358 -0.001065 0.002983 0.002749 4.2827e-04 9.2724e-04 -8.2694e-04 bWork_FT -3.9962e-04 0.001375 -0.007224 -0.002795 -6.1759e-04 -0.001246 -0.002291 bWork_wknd -1.939e-05 -0.003430 0.015278 0.010139 0.001528 0.003034 0.005664 bSchool_young 1.567e-05 0.002217 -0.006220 -0.015007 -9.8935e-04 -0.001964 -0.003675 bLeisure_wknd -8.698e-05 4.5383e-04 -0.001232 -0.001171 -2.2527e-04 -4.2790e-04 -0.001425 dWorkScho -4.099e-05 -3.575e-05 4.0378e-04 0.002209 1.526e-05 2.783e-05 5.470e-05 dShopPriv 2.613e-05 4.177e-06 -1.244e-05 -1.350e-05 1.473e-05 3.817e-05 -2.345e-05 dShopLeis 2.621e-05 1.701e-05 -4.905e-05 -4.823e-05 2.267e-05 -2.119e-05 2.780e-05 dPrivLeis 4.624e-05 1.173e-05 -3.450e-05 -3.690e-05 -8.558e-06 6.287e-05 1.274e-05 bWork bSchool bShopping bPrivate bLeisure bWork_FT bWork_wknd aFemale 0.001636 0.001676 0.001385 0.001310 0.001358 -3.9962e-04 -1.939e-05 sigma -0.001197 -0.005595 -0.001698 -0.002262 -0.001065 0.001375 -0.003430 gWork -0.002829 0.014383 0.004689 0.006251 0.002983 -0.007224 0.015278 gSchool 8.6066e-04 -1.9213e-04 0.004374 0.005889 0.002749 -0.002795 0.010139 gShopping 5.5770e-04 0.002520 -1.6429e-04 0.001007 4.2827e-04 -6.1759e-04 0.001528 gPrivate 0.001195 0.005097 0.001577 -2.0848e-04 9.2724e-04 -0.001246 0.003034 gLeisure 0.002118 0.009404 0.002528 0.003607 -8.2694e-04 -0.002291 0.005664 bWork 0.012569 0.003894 0.001710 0.001911 0.001404 -0.010445 -0.002095 bSchool 0.003894 0.046861 0.004621 0.005826 0.003199 -0.003368 0.007474 bShopping 0.001710 0.004621 0.005961 0.002280 0.001646 -0.001131 0.002242 bPrivate 0.001911 0.005826 0.002280 0.007590 0.001801 -0.001428 0.003028 bLeisure 0.001404 0.003199 0.001646 0.001801 0.005556 -7.8297e-04 0.001374 bWork_FT -0.010445 -0.003368 -0.001131 -0.001428 -7.8297e-04 0.015016 -0.002618 bWork_wknd -0.002095 0.007474 0.002242 0.003028 0.001374 -0.002618 0.028527 bSchool_young -9.5263e-04 -0.037218 -0.001446 -0.001954 -8.8354e-04 0.001195 -0.003080 bLeisure_wknd -2.6508e-04 -0.001062 -2.8883e-04 -4.2257e-04 -0.003940 2.5961e-04 -6.1883e-04 dWorkScho -8.107e-05 -1.5592e-04 4.301e-07 1.057e-05 -8.458e-06 6.405e-06 9.123e-05 dShopPriv 1.611e-05 6.847e-06 -2.867e-05 -3.544e-05 2.167e-05 -1.495e-06 -7.831e-06 dShopLeis 1.051e-05 -2.156e-05 -7.494e-05 6.461e-06 -1.732e-05 5.567e-06 -2.568e-05 dPrivLeis 2.661e-05 2.529e-06 2.799e-05 -6.194e-05 4.617e-06 -2.514e-07 -1.990e-05 bSchool_young bLeisure_wknd dWorkScho dShopPriv dShopLeis dPrivLeis aFemale 1.567e-05 -8.698e-05 -4.099e-05 2.613e-05 2.621e-05 4.624e-05 sigma 0.002217 4.5383e-04 -3.575e-05 4.177e-06 1.701e-05 1.173e-05 gWork -0.006220 -0.001232 4.0378e-04 -1.244e-05 -4.905e-05 -3.450e-05 gSchool -0.015007 -0.001171 0.002209 -1.350e-05 -4.823e-05 -3.690e-05 gShopping -9.8935e-04 -2.2527e-04 1.526e-05 1.473e-05 2.267e-05 -8.558e-06 gPrivate -0.001964 -4.2790e-04 2.783e-05 3.817e-05 -2.119e-05 6.287e-05 gLeisure -0.003675 -0.001425 5.470e-05 -2.345e-05 2.780e-05 1.274e-05 bWork -9.5263e-04 -2.6508e-04 -8.107e-05 1.611e-05 1.051e-05 2.661e-05 bSchool -0.037218 -0.001062 -1.5592e-04 6.847e-06 -2.156e-05 2.529e-06 bShopping -0.001446 -2.8883e-04 4.301e-07 -2.867e-05 -7.494e-05 2.799e-05 bPrivate -0.001954 -4.2257e-04 1.057e-05 -3.544e-05 6.461e-06 -6.194e-05 bLeisure -8.8354e-04 -0.003940 -8.458e-06 2.167e-05 -1.732e-05 4.617e-06 bWork_FT 0.001195 2.5961e-04 6.405e-06 -1.495e-06 5.567e-06 -2.514e-07 bWork_wknd -0.003080 -6.1883e-04 9.123e-05 -7.831e-06 -2.568e-05 -1.990e-05 bSchool_young 0.058170 4.0060e-04 -6.698e-05 5.063e-06 1.655e-05 1.287e-05 bLeisure_wknd 4.0060e-04 0.011304 -5.191e-06 1.898e-06 -5.704e-06 -2.208e-06 dWorkScho -6.698e-05 -5.191e-06 6.368e-05 -5.520e-07 -7.566e-07 -1.051e-06 dShopPriv 5.063e-06 1.898e-06 -5.520e-07 1.876e-05 -5.320e-07 -1.943e-06 dShopLeis 1.655e-05 -5.704e-06 -7.566e-07 -5.320e-07 1.064e-05 2.584e-07 dPrivLeis 1.287e-05 -2.208e-06 -1.051e-06 -1.943e-06 2.584e-07 8.740e-06 Robust covariance matrix: aFemale sigma gWork gSchool gShopping gPrivate gLeisure aFemale 0.004987 -3.5878e-04 -3.570e-05 0.001292 3.4563e-04 9.4723e-04 1.5004e-04 sigma -3.5878e-04 0.012625 -0.029282 -0.035322 -0.003897 -0.011174 -0.016895 gWork -3.570e-05 -0.029282 0.118899 0.089757 0.008727 0.028235 0.041479 gSchool 0.001292 -0.035322 0.089757 0.547835 0.010405 0.031891 0.049967 gShopping 3.4563e-04 -0.003897 0.008727 0.010405 0.003226 0.003790 0.005689 gPrivate 9.4723e-04 -0.011174 0.028235 0.031891 0.003790 0.022624 0.016627 gLeisure 1.5004e-04 -0.016895 0.041479 0.049967 0.005689 0.016627 0.039466 bWork 0.004575 -0.006639 0.005881 0.015904 0.002392 0.004503 0.008558 bSchool 0.004469 -0.026271 0.057241 0.108000 0.008480 0.023187 0.037392 bShopping 0.003207 -0.006560 0.011550 0.018161 8.5997e-04 0.005023 0.006659 bPrivate 0.002565 -0.009452 0.020182 0.024936 0.002688 0.005206 0.009951 bLeisure 0.003099 -0.004678 0.007749 0.015751 0.001092 0.003011 0.001795 bWork_FT -0.001682 0.006081 -0.019673 -0.015740 -0.001949 -0.004787 -0.008613 bWork_wknd 0.001029 -0.015762 0.057171 0.044196 0.005224 0.015219 0.022941 bSchool_young -0.002455 0.009850 -0.020941 -0.114438 -0.003189 -0.008872 -0.015677 bLeisure_wknd -6.7288e-04 0.002553 -0.006704 -0.014091 -8.9169e-04 -0.002335 -0.003462 dWorkScho -7.943e-05 -1.9303e-04 7.7901e-04 0.001899 4.649e-05 2.7209e-04 2.5939e-04 dShopPriv 6.176e-05 -2.064e-05 6.082e-05 -1.978e-05 2.997e-05 5.761e-05 2.628e-05 dShopLeis 4.950e-05 8.948e-05 -1.4334e-04 -1.6135e-04 6.950e-06 -2.666e-05 -4.819e-05 dPrivLeis 1.1397e-04 4.101e-05 -7.779e-05 2.017e-05 -1.642e-05 7.062e-05 -2.059e-05 bWork bSchool bShopping bPrivate bLeisure bWork_FT bWork_wknd aFemale 0.004575 0.004469 0.003207 0.002565 0.003099 -0.001682 0.001029 sigma -0.006639 -0.026271 -0.006560 -0.009452 -0.004678 0.006081 -0.015762 gWork 0.005881 0.057241 0.011550 0.020182 0.007749 -0.019673 0.057171 gSchool 0.015904 0.108000 0.018161 0.024936 0.015751 -0.015740 0.044196 gShopping 0.002392 0.008480 8.5997e-04 0.002688 0.001092 -0.001949 0.005224 gPrivate 0.004503 0.023187 0.005023 0.005206 0.003011 -0.004787 0.015219 gLeisure 0.008558 0.037392 0.006659 0.009951 0.001795 -0.008613 0.022941 bWork 0.028753 0.019468 0.007457 0.006893 0.004684 -0.024236 0.006230 bSchool 0.019468 0.117252 0.014720 0.021810 0.012320 -0.014481 0.032350 bShopping 0.007457 0.014720 0.011350 0.007223 0.005281 -0.004082 0.006265 bPrivate 0.006893 0.021810 0.007223 0.015549 0.006423 -0.004385 0.012373 bLeisure 0.004684 0.012320 0.005281 0.006423 0.009942 -0.001752 0.005217 bWork_FT -0.024236 -0.014481 -0.004082 -0.004385 -0.001752 0.030219 -0.013410 bWork_wknd 0.006230 0.032350 0.006265 0.012373 0.005217 -0.013410 0.065961 bSchool_young -0.013454 -0.081558 -0.005167 -0.008115 -0.004503 0.010390 -0.010751 bLeisure_wknd -0.001002 -0.007774 -3.2284e-04 -0.001798 -0.004697 0.001445 -0.004534 dWorkScho -6.385e-05 2.8936e-04 1.737e-05 8.575e-05 8.727e-06 -7.514e-05 3.5019e-04 dShopPriv 4.653e-05 8.767e-05 -7.393e-06 -4.396e-06 5.202e-05 -2.553e-05 3.564e-05 dShopLeis -1.969e-05 -1.5733e-04 -1.0779e-04 -6.826e-05 -4.248e-05 8.988e-06 -2.107e-05 dPrivLeis 2.807e-05 -2.721e-05 4.847e-05 -7.057e-05 2.292e-05 3.075e-05 -4.996e-05 bSchool_young bLeisure_wknd dWorkScho dShopPriv dShopLeis dPrivLeis aFemale -0.002455 -6.7288e-04 -7.943e-05 6.176e-05 4.950e-05 1.1397e-04 sigma 0.009850 0.002553 -1.9303e-04 -2.064e-05 8.948e-05 4.101e-05 gWork -0.020941 -0.006704 7.7901e-04 6.082e-05 -1.4334e-04 -7.779e-05 gSchool -0.114438 -0.014091 0.001899 -1.978e-05 -1.6135e-04 2.017e-05 gShopping -0.003189 -8.9169e-04 4.649e-05 2.997e-05 6.950e-06 -1.642e-05 gPrivate -0.008872 -0.002335 2.7209e-04 5.761e-05 -2.666e-05 7.062e-05 gLeisure -0.015677 -0.003462 2.5939e-04 2.628e-05 -4.819e-05 -2.059e-05 bWork -0.013454 -0.001002 -6.385e-05 4.653e-05 -1.969e-05 2.807e-05 bSchool -0.081558 -0.007774 2.8936e-04 8.767e-05 -1.5733e-04 -2.721e-05 bShopping -0.005167 -3.2284e-04 1.737e-05 -7.393e-06 -1.0779e-04 4.847e-05 bPrivate -0.008115 -0.001798 8.575e-05 -4.396e-06 -6.826e-05 -7.057e-05 bLeisure -0.004503 -0.004697 8.727e-06 5.202e-05 -4.248e-05 2.292e-05 bWork_FT 0.010390 0.001445 -7.514e-05 -2.553e-05 8.988e-06 3.075e-05 bWork_wknd -0.010751 -0.004534 3.5019e-04 3.564e-05 -2.107e-05 -4.996e-05 bSchool_young 0.120871 0.005613 -5.6216e-04 -5.136e-05 4.196e-05 -2.740e-05 bLeisure_wknd 0.005613 0.011489 -7.254e-05 -1.641e-05 -1.302e-05 -3.785e-06 dWorkScho -5.6216e-04 -7.254e-05 6.972e-05 -1.711e-06 -1.832e-07 -1.909e-06 dShopPriv -5.136e-05 -1.641e-05 -1.711e-06 1.726e-05 -1.289e-07 -9.248e-07 dShopLeis 4.196e-05 -1.302e-05 -1.832e-07 -1.289e-07 1.104e-05 1.916e-06 dPrivLeis -2.740e-05 -3.785e-06 -1.909e-06 -9.248e-07 1.916e-06 1.029e-05 Classical correlation matrix: aFemale sigma gWork gSchool gShopping gPrivate gLeisure aFemale 1.000000 -0.04735 0.021182 0.003635 0.03882 0.06151 0.04602 sigma -0.047346 1.00000 -0.472029 -0.182533 -0.52134 -0.47632 -0.55938 gWork 0.021182 -0.47203 1.000000 0.126213 0.24373 0.22149 0.25626 gSchool 0.003635 -0.18253 0.126213 1.000000 0.09452 0.08517 0.09937 gShopping 0.038821 -0.52134 0.243733 0.094520 1.00000 0.25118 0.31219 gPrivate 0.061506 -0.47632 0.221492 0.085172 0.25118 1.00000 0.27628 gLeisure 0.046017 -0.55938 0.256265 0.099374 0.31219 0.27628 1.00000 bWork 0.303518 -0.21394 -0.086838 0.010714 0.11627 0.11418 0.12732 bSchool 0.161039 -0.51809 0.228632 -0.001239 0.27213 0.25231 0.29283 bShopping 0.373103 -0.44077 0.208996 0.079062 -0.04973 0.21883 0.22068 bPrivate 0.312618 -0.52042 0.246899 0.094343 0.27026 -0.02564 0.27909 bLeisure 0.378803 -0.28647 0.137690 0.051468 0.13429 0.13330 -0.07477 bWork_FT -0.067813 0.22494 -0.202854 -0.031831 -0.11780 -0.10899 -0.12600 bWork_wknd -0.002388 -0.40698 0.311261 0.083778 0.21151 0.19250 0.22604 bSchool_young 0.001351 0.18424 -0.088738 -0.086842 -0.09588 -0.08728 -0.10272 bLeisure_wknd -0.017012 0.08555 -0.039866 -0.015378 -0.04952 -0.04313 -0.09032 dWorkScho -0.106802 -0.08980 0.174113 0.386334 0.04470 0.03737 0.04620 dShopPriv 0.125451 0.01933 -0.009887 -0.004349 0.07948 0.09443 -0.03649 dShopLeis 0.167026 0.10452 -0.051732 -0.020631 0.16242 -0.06959 0.05744 dPrivLeis 0.325232 0.07955 -0.040153 -0.017419 -0.06766 0.22788 0.02905 bWork bSchool bShopping bPrivate bLeisure bWork_FT bWork_wknd aFemale 0.30352 0.161039 0.37310 0.31262 0.37880 -0.067813 -0.002388 sigma -0.21394 -0.518094 -0.44077 -0.52042 -0.28647 0.224943 -0.406984 gWork -0.08684 0.228632 0.20900 0.24690 0.13769 -0.202854 0.311261 gSchool 0.01071 -0.001239 0.07906 0.09434 0.05147 -0.031831 0.083778 gShopping 0.11627 0.272128 -0.04973 0.27026 0.13429 -0.117797 0.211512 gPrivate 0.11418 0.252311 0.21883 -0.02564 0.13330 -0.108986 0.192500 gLeisure 0.12732 0.292827 0.22068 0.27909 -0.07477 -0.126002 0.226040 bWork 1.00000 0.160429 0.19754 0.19563 0.16798 -0.760257 -0.110648 bSchool 0.16043 1.000000 0.27650 0.30893 0.19826 -0.126968 0.204413 bShopping 0.19754 0.276496 1.00000 0.33897 0.28596 -0.119493 0.171949 bPrivate 0.19563 0.308925 0.33897 1.00000 0.27736 -0.133751 0.205796 bLeisure 0.16798 0.198257 0.28596 0.27736 1.00000 -0.085717 0.109107 bWork_FT -0.76026 -0.126968 -0.11949 -0.13375 -0.08572 1.000000 -0.126512 bWork_wknd -0.11065 0.204413 0.17195 0.20580 0.10911 -0.126512 1.000000 bSchool_young -0.03523 -0.712847 -0.07767 -0.09302 -0.04915 0.040438 -0.075621 bLeisure_wknd -0.02224 -0.046121 -0.03518 -0.04562 -0.49715 0.019926 -0.034461 dWorkScho -0.09061 -0.090258 6.9803e-04 0.01520 -0.01422 0.006550 0.067689 dShopPriv 0.03317 0.007303 -0.08573 -0.09392 0.06711 -0.002818 -0.010705 dShopLeis 0.02874 -0.030529 -0.29749 0.02273 -0.07123 0.013926 -0.046610 dPrivLeis 0.08028 0.003952 0.12265 -0.24049 0.02095 -6.9406e-04 -0.039859 bSchool_young bLeisure_wknd dWorkScho dShopPriv dShopLeis dPrivLeis aFemale 0.001351 -0.017012 -0.106802 0.125451 0.16703 0.325232 sigma 0.184237 0.085555 -0.089799 0.019330 0.10452 0.079546 gWork -0.088738 -0.039866 0.174113 -0.009887 -0.05173 -0.040153 gSchool -0.086842 -0.015378 0.386334 -0.004349 -0.02063 -0.017419 gShopping -0.095878 -0.049521 0.044704 0.079479 0.16242 -0.067658 gPrivate -0.087278 -0.043128 0.037374 0.094434 -0.06959 0.227878 gLeisure -0.102719 -0.090320 0.046204 -0.036491 0.05744 0.029050 bWork -0.035231 -0.022238 -0.090610 0.033173 0.02874 0.080277 bSchool -0.712847 -0.046121 -0.090258 0.007303 -0.03053 0.003952 bShopping -0.077669 -0.035185 6.9803e-04 -0.085725 -0.29749 0.122645 bPrivate -0.093016 -0.045620 0.015201 -0.093917 0.02273 -0.240489 bLeisure -0.049145 -0.497151 -0.014220 0.067113 -0.07123 0.020951 bWork_FT 0.040438 0.019926 0.006550 -0.002818 0.01393 -6.9406e-04 bWork_wknd -0.075621 -0.034461 0.067689 -0.010705 -0.04661 -0.039859 bSchool_young 1.000000 0.015622 -0.034799 0.004847 0.02103 0.018045 bLeisure_wknd 0.015622 1.000000 -0.006118 0.004122 -0.01644 -0.007024 dWorkScho -0.034799 -0.006118 1.000000 -0.015971 -0.02906 -0.044529 dShopPriv 0.004847 0.004122 -0.015971 1.000000 -0.03765 -0.151727 dShopLeis 0.021030 -0.016444 -0.029062 -0.037652 1.00000 0.026789 dPrivLeis 0.018045 -0.007024 -0.044529 -0.151727 0.02679 1.000000 Robust correlation matrix: aFemale sigma gWork gSchool gShopping gPrivate gLeisure aFemale 1.000000 -0.04521 -0.001466 0.024720 0.08617 0.08917 0.01069 sigma -0.045213 1.00000 -0.755775 -0.424716 -0.61070 -0.66113 -0.75687 gWork -0.001466 -0.75577 1.000000 0.351685 0.44562 0.54439 0.60552 gSchool 0.024720 -0.42472 0.351685 1.000000 0.24750 0.28645 0.33982 gShopping 0.086167 -0.61070 0.445622 0.247502 1.00000 0.44365 0.50423 gPrivate 0.089172 -0.66113 0.544390 0.286455 0.44365 1.00000 0.55644 gLeisure 0.010695 -0.75687 0.605515 0.339823 0.50423 0.55644 1.00000 bWork 0.382052 -0.34843 0.100587 0.126717 0.24834 0.17655 0.25407 bSchool 0.184796 -0.68281 0.484798 0.426127 0.43602 0.45019 0.54968 bShopping 0.426309 -0.54805 0.314408 0.230315 0.14212 0.31345 0.31462 bPrivate 0.291272 -0.67462 0.469386 0.270178 0.37952 0.27757 0.40169 bLeisure 0.440115 -0.41755 0.225384 0.213426 0.19276 0.20076 0.09060 bWork_FT -0.137027 0.31132 -0.328196 -0.122333 -0.19740 -0.18309 -0.24941 bWork_wknd 0.056752 -0.54618 0.645567 0.232497 0.35811 0.39396 0.44963 bSchool_young -0.099972 0.25214 -0.174683 -0.444716 -0.16149 -0.16965 -0.22699 bLeisure_wknd -0.088890 0.21196 -0.181386 -0.177612 -0.14647 -0.14484 -0.16259 dWorkScho -0.134695 -0.20575 0.270566 0.307218 0.09803 0.21665 0.15637 dShopPriv 0.210510 -0.04422 0.042458 -0.006432 0.12702 0.09218 0.03184 dShopLeis 0.210922 0.23963 -0.125094 -0.065600 0.03683 -0.05333 -0.07300 dPrivLeis 0.503057 0.11376 -0.070323 0.008494 -0.09012 0.14636 -0.03231 bWork bSchool bShopping bPrivate bLeisure bWork_FT bWork_wknd aFemale 0.38205 0.18480 0.42631 0.291272 0.44011 -0.13703 0.05675 sigma -0.34843 -0.68281 -0.54805 -0.674618 -0.41755 0.31132 -0.54618 gWork 0.10059 0.48480 0.31441 0.469386 0.22538 -0.32820 0.64557 gSchool 0.12672 0.42613 0.23031 0.270178 0.21343 -0.12233 0.23250 gShopping 0.24834 0.43602 0.14212 0.379524 0.19276 -0.19740 0.35811 gPrivate 0.17655 0.45019 0.31345 0.277569 0.20076 -0.18309 0.39396 gLeisure 0.25407 0.54968 0.31462 0.401689 0.09060 -0.24941 0.44963 bWork 1.00000 0.33530 0.41277 0.325993 0.27701 -0.82219 0.14306 bSchool 0.33530 1.00000 0.40352 0.510788 0.36084 -0.24328 0.36786 bShopping 0.41277 0.40352 1.00000 0.543730 0.49714 -0.22043 0.22897 bPrivate 0.32599 0.51079 0.54373 1.000000 0.51662 -0.20229 0.38635 bLeisure 0.27701 0.36084 0.49714 0.516622 1.00000 -0.10106 0.20373 bWork_FT -0.82219 -0.24328 -0.22043 -0.202295 -0.10106 1.00000 -0.30035 bWork_wknd 0.14306 0.36786 0.22897 0.386352 0.20373 -0.30035 1.00000 bSchool_young -0.22821 -0.68509 -0.13950 -0.187196 -0.12990 0.17191 -0.12040 bLeisure_wknd -0.05514 -0.21180 -0.02827 -0.134526 -0.43946 0.07757 -0.16470 dWorkScho -0.04510 0.10121 0.01952 0.082359 0.01048 -0.05177 0.16330 dShopPriv 0.06605 0.06163 -0.01670 -0.008486 0.12558 -0.03534 0.03340 dShopLeis -0.03495 -0.13827 -0.30448 -0.164724 -0.12821 0.01556 -0.02469 dPrivLeis 0.05161 -0.02478 0.14182 -0.176425 0.07165 0.05515 -0.06063 bSchool_young bLeisure_wknd dWorkScho dShopPriv dShopLeis dPrivLeis aFemale -0.09997 -0.08889 -0.134695 0.210510 0.210922 0.503057 sigma 0.25214 0.21196 -0.205747 -0.044224 0.239635 0.113764 gWork -0.17468 -0.18139 0.270566 0.042458 -0.125094 -0.070323 gSchool -0.44472 -0.17761 0.307218 -0.006432 -0.065600 0.008494 gShopping -0.16149 -0.14647 0.098032 0.127021 0.036825 -0.090123 gPrivate -0.16965 -0.14484 0.216646 0.092184 -0.053333 0.146356 gLeisure -0.22699 -0.16259 0.156373 0.031844 -0.073003 -0.032307 bWork -0.22821 -0.05514 -0.045100 0.066052 -0.034952 0.051612 bSchool -0.68509 -0.21180 0.101206 0.061626 -0.138271 -0.024775 bShopping -0.13950 -0.02827 0.019522 -0.016703 -0.304478 0.141818 bPrivate -0.18720 -0.13453 0.082359 -0.008486 -0.164724 -0.176425 bLeisure -0.12990 -0.43946 0.010482 0.125578 -0.128211 0.071650 bWork_FT 0.17191 0.07757 -0.051765 -0.035343 0.015559 0.055150 bWork_wknd -0.12040 -0.16470 0.163299 0.033399 -0.024685 -0.060633 bSchool_young 1.00000 0.15063 -0.193653 -0.035558 0.036322 -0.024567 bLeisure_wknd 0.15063 1.00000 -0.081048 -0.036847 -0.036568 -0.011008 dWorkScho -0.19365 -0.08105 1.000000 -0.049336 -0.006603 -0.071272 dShopPriv -0.03556 -0.03685 -0.049336 1.000000 -0.009337 -0.069391 dShopLeis 0.03632 -0.03657 -0.006603 -0.009337 1.000000 0.179738 dPrivLeis -0.02457 -0.01101 -0.071272 -0.069391 0.179738 1.000000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 2146576 1.092173e-06 9880000 5.927828e-06 9902059 8.054991e-06 9720000 1.278283e-05 8530000 2.025804e-05 3051038 2.686012e-05 3010000 4.801040e-05 6292582 4.888747e-05 8494828 6.441908e-05 8346936 7.922281e-05 736559 8.376764e-05 4376416 8.532809e-05 9216479 9.101226e-05 1566942 9.397485e-05 5436896 9.920876e-05 7177352 1.018169e-04 2119561 1.032405e-04 7560000 1.047250e-04 4730000 1.226599e-04 9230000 1.260353e-04 Changes in parameter estimates from starting values: Initial Estimate Difference aFemale -0.005000 -0.10170 -0.096698 sigma 2.000000 1.93186 -0.068135 gWork 10.425000 3.32255 -7.102449 gSchool 9.955000 3.38018 -6.574823 gShopping 2.065000 0.44289 -1.622111 gPrivate 4.419000 0.75062 -3.668378 gLeisure 6.927000 1.71348 -5.213522 bWork -3.372000 -3.78915 -0.417149 bSchool -5.250000 -7.29802 -2.048022 bShopping -3.663000 -4.17530 -0.512295 bPrivate -3.973000 -4.76178 -0.788777 bLeisure -3.300000 -3.66114 -0.361136 bWork_FT 0.708000 1.25682 0.548816 bWork_wknd -1.600000 -2.88266 -1.282664 bSchool_young 0.948000 1.74080 0.792805 bLeisure_wknd 0.155000 0.28309 0.128087 dWorkScho -0.008000 -0.02103 -0.013034 dWorkShop 0.000000 0.00000 0.000000 dWorkPriv 0.000000 0.00000 0.000000 dWorkLeis 0.000000 0.00000 0.000000 dSchoShop 0.000000 0.00000 0.000000 dSchoPriv 0.000000 0.00000 0.000000 dSchoLeis 0.000000 0.00000 0.000000 dShopPriv 0.010000 0.01117 0.001172 dShopLeis 0.012000 0.01651 0.004506 dPrivLeis 0.012000 0.02324 0.011236 Settings and functions used in model definition: apollo_control -------------- Value modelName "eMDC1" modelDescr "Extended MDC with complementarity and substitution, with observed budget and socio-demographics" indivID "indivID" 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" Hessian routines attempted -------------- numerical second derivative of LL (using numDeriv) Scaling in estimation -------------- Value aFemale 0.10169789 sigma 1.93186561 gWork 3.32255100 gSchool 3.38017538 gShopping 0.44288862 gPrivate 0.75062200 gLeisure 1.71347865 bWork 3.78915191 bSchool 7.29802093 bShopping 4.17529948 bPrivate 4.76177051 bLeisure 3.66113354 bWork_FT 1.25681559 bWork_wknd 2.88266492 bSchool_young 1.74080469 bLeisure_wknd 0.28308719 dWorkScho 0.02103413 dShopPriv 0.01117239 dShopLeis 0.01650649 dPrivLeis 0.02323637 Scaling used in computing Hessian -------------- Value aFemale 0.10169789 sigma 1.93186473 gWork 3.32255054 gSchool 3.38017651 gShopping 0.44288864 gPrivate 0.75062206 gLeisure 1.71347830 bWork 3.78914874 bSchool 7.29802218 bShopping 4.17529542 bPrivate 4.76177699 bLeisure 3.66113564 bWork_FT 1.25681590 bWork_wknd 2.88266384 bSchool_young 1.74080480 bLeisure_wknd 0.28308718 dWorkScho 0.02103413 dShopPriv 0.01117239 dShopLeis 0.01650649 dPrivLeis 0.02323636 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) A = setNames(as.list(rep(1, nAlt)), alts) X = list(work = t_a02/60, school = t_a03/60, shopping = t_a04/60, private = t_a05/60, leisure = t_leisure/60) V = 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 ) G = list(work = gWork, school = gSchool, shopping = gShopping, private = gPrivate, leisure = gLeisure) D <- 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) D <- matrix(D, nrow=nAlt, ncol=nAlt, byrow=TRUE) emdc_settings <- list(X = X, A = A, V0= aFemale*female, V = V, sigma = sigma, B = 24, gamma = G, delta = D, cost = A) P[["model"]] = apollo_emdc1(emdc_settings, functionality) ### Comment out as necessary P = apollo_panelProd(P, apollo_inputs, functionality) P = apollo_prepareProb(P, apollo_inputs, functionality) return(P) }