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  • Nested Logit (nlogit) with and without alternative-specific constant (ASC)

    Dear all,

    I have conducted a discrete choice experiment. The alternatives are three policies and there is a status-quo alternative (no policy). I use Stata17. For my basic analysis, I use cmxtmixlogit. As a robustness check (and to include individual characteristics, since it is an unlabeled experiment), I use nlogit. Now I struggle with the interpretation of the nested logit, since adding an alternative-specific constant (ASC) turns the attributes insignificant. The ASC is coded as follows: 1 for all policies, 0 for the status-quo alternative (no policy). For your information: the results from cmxtmixlogit are significant, also with the ASC.

    Here are the two outputs:

    Without ASC:
    HTML Code:
    RUM-consistent nested logit regression         Number of obs      =      7,536
    Case variable: id                              Number of cases    =       1884
    
    Alternative variable: Alternative              Alts per case: min =          4
                                                                  avg =        4.0
                                                                  max =          4
    
                                                      Wald chi2(4)    =     742.85
    Log pseudolikelihood = -1685.8381                 Prob > chi2     =     0.0000
    
                                         (Std. err. adjusted for clustering on id)
    ------------------------------------------------------------------------------
                 |               Robust
          Choice | Coefficient  std. err.      z    P>|z|     [95% conf. interval]
    -------------+----------------------------------------------------------------
    Alternative  |
           Costs |  -.0645111   .0049329   -13.08   0.000    -.0741795   -.0548427
          RecMat |   .0187528   .0014709    12.75   0.000     .0158698    .0216358
             GHG |   .0205729   .0009496    21.66   0.000     .0187117    .0224342
           Reuse |   .0125093   .0011585    10.80   0.000     .0102388    .0147799
    ------------------------------------------------------------------------------
    dissimilarity parameters
    ------------------------------------------------------------------------------
    /nests       |
    policies_tau |   .5548734   .0305705                      .4949563    .6147904
        none_tau |          1   .0008902                      .9982553    1.001745
    ------------------------------------------------------------------------------
    With ASC:
    HTML Code:
    RUM-consistent nested logit regression         Number of obs      =      7,536
    Case variable: id                              Number of cases    =       1884
    
    Alternative variable: Alternative              Alts per case: min =          4
                                                                  avg =        4.0
                                                                  max =          4
    
                                                      Wald chi2(5)    =     796.41
    Log pseudolikelihood = -1683.5947                 Prob > chi2     =     0.0000
    
                                         (Std. err. adjusted for clustering on id)
    ------------------------------------------------------------------------------
                 |               Robust
          Choice | Coefficient  std. err.      z    P>|z|     [95% conf. interval]
    -------------+----------------------------------------------------------------
    Alternative  |
           Costs |  -.0231164   .0214353    -1.08   0.281    -.0651289     .018896
          RecMat |   .0066912   .0061856     1.08   0.279    -.0054324    .0188148
             GHG |    .007314   .0067917     1.08   0.282    -.0059975    .0206256
           Reuse |   .0044247   .0041392     1.07   0.285     -.003688    .0125373
             ASC |   1.785674    .913887     1.95   0.051    -.0055119    3.576859
    ------------------------------------------------------------------------------
    dissimilarity parameters
    ------------------------------------------------------------------------------
    /nests       |
    policies_tau |   .1970386   .1830114                     -.1616571    .5557344
        none_tau |          1   .4572899                      .1037283    1.896272
    ------------------------------------------------------------------------------

    Can anyone help me in interpreting what's going on here?

    Thank you in advance!
    Last edited by Ellen Sterk; 07 Jul 2023, 02:06.
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