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  • NBSTRAT alpha values

    Hello all.

    I have trip data from a travel cost survey. It is overdispersed and truncated at zero, so I use ztnb to model it.

    As it is collected on site, I have also run nbstrat which accounts for endogenous stratification. The estimates for alpha produced by nbstrat are extremely large. Can anyone explain to me why this is and if it signifies some kind of problem? I haven't been able to find the answer in the help document for this command.

    Here is the code and the model results for ztnb and nbstrat:

    HTML Code:
    . ztnb trips tc_1 tcs dog_walking swimming age female full_time second_level wee
    > kend if trips > 0 & trips < 300 & distance < 31, nolog
    
    Zero-truncated negative binomial regression             Number of obs =    218
                                                            LR chi2(9)    =  69.50
    Dispersion: mean                                        Prob > chi2   = 0.0000
    Log likelihood = -1069.6135                             Pseudo R2     = 0.0315
    
    ------------------------------------------------------------------------------
           trips | Coefficient  Std. err.      z    P>|z|     [95% conf. interval]
    -------------+----------------------------------------------------------------
            tc_1 |   -.331683   .0470049    -7.06   0.000     -.423811   -.2395551
             tcs |   .0526015   .0288292     1.82   0.068    -.0039026    .1091056
     dog_walking |   .6912429   .1907299     3.62   0.000      .317419    1.065067
        swimming |   .6717875   .2134434     3.15   0.002     .2534461    1.090129
             age |   .0121518    .006755     1.80   0.072    -.0010878    .0253913
          female |  -.1296886     .16108    -0.81   0.421    -.4453997    .1860224
       full_time |  -.1954571   .2029611    -0.96   0.336    -.5932534    .2023393
    second_level |   .2632545   .1981498     1.33   0.184    -.1251119    .6516209
         weekend |  -.4113873   .1688693    -2.44   0.015    -.7423652   -.0804095
           _cons |   3.877994   .4457129     8.70   0.000     3.004413    4.751576
    -------------+----------------------------------------------------------------
        /lnalpha |   .2720226   .1195559                      .0376974    .5063478
    -------------+----------------------------------------------------------------
           alpha |   1.312617    .156931                      1.038417     1.65922
    ------------------------------------------------------------------------------
    Likelihood-ratio test of alpha=0:  chibar2(01) = 1.1e+04 Prob>=chibar2 = 0.000
    
    . nbstrat trips tc_1 tcs dog_walking swimming age female full_time second_level
    > weekend if trips > 0 & trips < 300 & distance < 31, nolog
    
    Negative Binomial with Endogenous Stratification
    
                                                            Number of obs =    218
                                                            Wald chi2(9)  = 126.13
    Log likelihood = -1072.6005                             Prob > chi2   = 0.0000
    
    ------------------------------------------------------------------------------
           trips | Coefficient  Std. err.      z    P>|z|     [95% conf. interval]
    -------------+----------------------------------------------------------------
            tc_1 |  -.3247509   .0417973    -7.77   0.000    -.4066722   -.2428296
             tcs |   .0501741   .0252458     1.99   0.047     .0006933    .0996549
     dog_walking |   .6690027   .1664985     4.02   0.000     .3426717    .9953338
        swimming |   .6589314   .1871537     3.52   0.000     .2921169    1.025746
             age |   .0119964    .005931     2.02   0.043     .0003717     .023621
          female |  -.1288407   .1417759    -0.91   0.363    -.4067164    .1490351
       full_time |  -.1942539    .178486    -1.09   0.276      -.54408    .1555723
    second_level |    .254796   .1740872     1.46   0.143    -.0864087    .5960007
         weekend |  -.4023662   .1483279    -2.71   0.007    -.6930836   -.1116488
           _cons |   -12.5788   143.0695    -0.09   0.930    -292.9899    267.8323
    -------------+----------------------------------------------------------------
        /lnalpha |   16.48533   143.0689     0.12   0.908    -263.9247    296.8953
    -------------+----------------------------------------------------------------
           alpha |   1.44e+07   2.07e+09                      2.4e-115    8.7e+128
    ------------------------------------------------------------------------------
    AIC Statistic   =        9.932                      BIC Statistic =  -1119.975
    Deviance        =        0.000                      Dispersion    =      0.000
    
    .
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