12: MTC MNL Mode Choice, Autos per Adult

Model 12 considers the number of autos divided by the number of persons of driving age in the household. (pp. 120)

d = larch.examples.MTC()
m = larch.Model(dataservice=d)
from larch.roles import P, X, PX
for a in [2,3]:
        m.utility_co[a] = P("hhinc#2,3") * X("hhinc")

for a in [4,5,6]:
        m.utility_co[a] = P("hhinc#{}".format(a)) * X("hhinc")

for a,name in m.dataservice.alternatives[1:]:
        m.utility_co[a] += P("ASC_"+name) + P("vehbyadlt_"+name) * X("numveh/numadlt")
m.utility_ca= (
        + PX("totcost")
        + P("motorized_time") * X("(altnum <= 4) * tottime")
        + P("nonmotorized_time") * X("(altnum > 4) * tottime")
        + P("motorized_ovtbydist") * X("(altnum <= 4) * ovtt/dist")
        )
m.availability_var = '_avail_'
m.choice_ca_var = '_choice_'
m.ordering = (
        ("LOS", ".*cost.*", ".*time.*", ".*dist.*", ),
        ("Income", "hhinc.*", ),
        ("Ownership", "vehbyadlt.*"),
        ("ASCs", "ASC.*", ),
)
>>> m.load_data()
>>> m.maximize_loglike()
┣ ...Optimization terminated successfully...
>>> m.calculate_parameter_covariance()
>>> m.loglike()
-3490.357...

>>> print(m.pfo()[['value','std err','t stat','robust std err','robust t stat']])
                                value  std err   t stat  robust std err  robust t stat
Category  Parameter
LOS       totcost             -0.0042   0.0002 -17.2171          0.0003       -15.2243
          motorized_time      -0.0380   0.0036 -10.5816          0.0039        -9.7654
          nonmotorized_time   -0.0466   0.0056  -8.3214          0.0054        -8.5841
          motorized_ovtbydist -0.1849   0.0187  -9.9133          0.0242        -7.6380
Income    hhinc#2,3           -0.0013   0.0014  -0.9487          0.0015        -0.8911
          hhinc#4             -0.0046   0.0020  -2.3242          0.0020        -2.3185
          hhinc#5             -0.0117   0.0053  -2.2023          0.0064        -1.8306
          hhinc#6             -0.0076   0.0033  -2.3386          0.0037        -2.0531
Ownership vehbyadlt_BIKE      -0.6418   0.3027  -2.1207          0.4087        -1.5703
          vehbyadlt_SR2       -0.5945   0.1088  -5.4624          0.1353        -4.3924
          vehbyadlt_SR3       -0.4474   0.1659  -2.6967          0.1976        -2.2646
          vehbyadlt_TRANSIT   -1.4092   0.1546  -9.1130          0.1958        -7.1967
          vehbyadlt_WALK      -0.7936   0.2082  -3.8123          0.2855        -2.7797
ASCs      ASC_BIKE            -1.9628   0.4158  -4.7201          0.4959        -3.9582
          ASC_SR2             -1.5369   0.1409 -10.9101          0.1616        -9.5112
          ASC_SR3             -3.0235   0.2041 -14.8119          0.2273       -13.3017
          ASC_TRANSIT          1.0496   0.1976   5.3125          0.2191         4.7907
          ASC_WALK            -0.2173   0.3453  -0.6292          0.3603        -0.6031