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  • Unexplainable change of sign in nested logit (discrete choice experiment)

    Dear all,

    I am running a nested logit model on an unlabelled discrete choice experiment. My nests are: policies (3 options) or no policy (1 option). If I run the nested logit model only with the attributes, the results are as expected (people are more inclined to choose policies that cost less, lead to a higher share of recycled materials, a higher reduction in greenhouse gas emissions, and a higher share of reusing - the context are policies to increase sustainable building in cities). Now when I add a variable that measures how important people think sustainability is in general (N001_01), the signs change to the complete opposite, which I cannot explain. Why would people choose the policies that cost them more? It seems to me that this is an artifact, but I have no explanation.

    Here is the output (first without, then with inclusion of the sustainability variable):

    HTML Code:
    nlogit Choice Costs RecMat GHG Reuse || nests: , base(none) ||Alternative:, noconstant case(id)
    ...
    
    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)    =     768.86
    Log likelihood = -1685.8381                       Prob > chi2     =     0.0000
    
    ------------------------------------------------------------------------------
          Choice | Coefficient  Std. err.      z    P>|z|     [95% conf. interval]
    -------------+----------------------------------------------------------------
    Alternative  |
           Costs |  -.0645158    .004922   -13.11   0.000    -.0741628   -.0548687
          RecMat |   .0187533   .0014563    12.88   0.000     .0158989    .0216076
             GHG |   .0205733   .0009328    22.06   0.000     .0187451    .0224015
           Reuse |   .0125099   .0011097    11.27   0.000     .0103349    .0146849
    ------------------------------------------------------------------------------
    dissimilarity parameters
    ------------------------------------------------------------------------------
    /nests       |
    policies_tau |   .5548908   .0298003                      .4964834    .6132982
        none_tau |          1          .                             .           .
    ------------------------------------------------------------------------------
    LR test for IIA (tau=1): chi2(1) = 107.72                 Prob > chi2 = 0.0000
    HTML Code:
    nlogit Choice Costs RecMat GHG Reuse || nests: N001_01, base(none) ||Alternative:, noconstant case(id) constraints(1) 
    ...
    
    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)    =     567.41
    Log likelihood = -1573.4881                       Prob > chi2     =     0.0000
    
     ( 1)  [/nests]none_tau = 1
    ------------------------------------------------------------------------------
          Choice | Coefficient  Std. err.      z    P>|z|     [95% conf. interval]
    -------------+----------------------------------------------------------------
    Alternative  |
           Costs |    .017561   .0055667     3.15   0.002     .0066504    .0284716
          RecMat |  -.0051151   .0016289    -3.14   0.002    -.0083078   -.0019225
             GHG |  -.0055541   .0017301    -3.21   0.001    -.0089451   -.0021632
           Reuse |  -.0033491   .0010736    -3.12   0.002    -.0054534   -.0012449
    ------------------------------------------------------------------------------
    nests equations
    ------------------------------------------------------------------------------
    policies     |
         N001_01 |   .0531828    .003809    13.96   0.000     .0457173    .0606482
    -------------+----------------------------------------------------------------
    none         |
         N001_01 |          0  (base)
    ------------------------------------------------------------------------------
    dissimilarity parameters
    ------------------------------------------------------------------------------
    /nests       |
    policies_tau |  -.1497973   .0468949                     -.2417096    -.057885
        none_tau |          1  (constrained)
    ------------------------------------------------------------------------------
    LR test for IIA (tau=1): chi2(1) = 332.37                 Prob > chi2 = 0.0000
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