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  • Missing Wald Chi2 Value and Prob > chi2 value

    Dear Statalist,

    I face the following problem:

    When calculating a random effects regression model on the influence of Annual Corporate Venture Investments on the firms' innovativeness measured in form of number of patents, the Wald Chi2 and Prob > Chi2 value is missing.

    To investigate an inverted U-shaped relationship between these two variables, a squared value of annual CVC investments is utilized.


    Code:
     xtreg number_patents l.annual_cvc l.annual_cvc2 rdi CurrentAssetsTotal log_industry_dynamism
    StandardIndustryClassification q_tobin i.fyear, re cluster(gvkey)
    Random-effects GLS regression                   Number of obs     =        475
    Group variable: gvkey                           Number of groups  =         84
    
    R-squared:                                      Obs per group:
         Within  = 0.2439                                         min =          1
         Between = 0.0158                                         avg =        5.7
         Overall = 0.1158                                         max =         14
    
                                                    Wald chi2(19)     =          .
    corr(u_i, X) = 0 (assumed)                      Prob > chi2       =          .
    
                                                       (Std. err. adjusted for 84 clusters in gvkey)
    ------------------------------------------------------------------------------------------------
                                   |               Robust
                    number_patents | Coefficient  std. err.      z    P>|z|     [95% conf. interval]
    -------------------------------+----------------------------------------------------------------
                      annual_cvc_p |   1.01e-06   4.86e-07     2.08   0.037     5.93e-08    1.97e-06
                     annual_cvc_p2 |  -1.01e-15   4.48e-16    -2.26   0.024    -1.89e-15   -1.33e-16
                               rdi |   209.6591    309.188     0.68   0.498    -396.3382    815.6564
                CurrentAssetsTotal |   .0006073   .0040613     0.15   0.881    -.0073527    .0085674
             log_industry_dynamism |   -20.4057   16.01887    -1.27   0.203     -51.8021     10.9907
    StandardIndustryClassification |   .0665709    .073344     0.91   0.364    -.0771806    .2103224
                           q_tobin |   27.37014   31.83729     0.86   0.390     -35.0298    89.77008
                                   |
                             fyear |
                             2007  |  -4.857026   19.56598    -0.25   0.804    -43.20564    33.49158
                             2008  |   51.24814   117.9224     0.43   0.664    -179.8755    282.3718
                             2009  |  -42.61118   43.22776    -0.99   0.324     -127.336    42.11368
                             2010  |   -19.3521    49.7375    -0.39   0.697    -116.8358    78.13162
                             2011  |   81.40725   55.00892     1.48   0.139    -26.40824    189.2228
                             2012  |   140.8808   93.88031     1.50   0.133    -43.12119    324.8829
                             2013  |   147.7636   95.57647     1.55   0.122    -39.56288      335.09
                             2014  |   26.19784   65.00353     0.40   0.687    -101.2067    153.6024
                             2015  |   78.02013   82.21327     0.95   0.343    -83.11492    239.1552
                             2016  |   -10.6446    78.0314    -0.14   0.891    -163.5833    142.2941
                             2017  |  -286.1342   73.27951    -3.90   0.000    -429.7594   -142.5089
                             2018  |  -606.1606   178.5115    -3.40   0.001    -956.0367   -256.2845
                             2019  |   -964.925   199.0749    -4.85   0.000    -1355.105   -574.7454
                                   |
                             _cons |   73.55724   327.8697     0.22   0.822    -569.0555      716.17
    -------------------------------+----------------------------------------------------------------
                           sigma_u |  601.01498
                           sigma_e |  409.95135
                               rho |  .68247357   (fraction of variance due to u_i)



    As soon as I remove the squared value of CVC investments, Wald Chi2 and Prob > Chi2 values are indicated.

    Code:
                                                        
      xtreg number_patents l.annual_cvc rdi CurrentAssetsTotal log_industry_dynamism StandardIndustryClassification q_tobin i.fyear, re cluster(gvkey)
    
    Random-effects GLS regression                   Number of obs     =        475
    Group variable: gvkey                           Number of groups  =         84
    
    R-squared:                                      Obs per group:
         Within  = 0.2359                                         min =          1
         Between = 0.0156                                         avg =        5.7
         Overall = 0.0993                                         max =         14
    
                                                    Wald chi2(19)     =      76.65
    corr(u_i, X) = 0 (assumed)                      Prob > chi2       =     0.0000
    
                                                       (Std. err. adjusted for 84 clusters in gvkey)
    ------------------------------------------------------------------------------------------------
                                   |               Robust
                    number_patents | Coefficient  std. err.      z    P>|z|     [95% conf. interval]
    -------------------------------+----------------------------------------------------------------
                        annual_cvc |
                               L1. |  -1.51e-07   3.19e-07    -0.47   0.636    -7.76e-07    4.75e-07
                                   |
                               rdi |   239.8759   322.1921     0.74   0.457     -391.609    871.3608
                CurrentAssetsTotal |   .0013568   .0041526     0.33   0.744    -.0067821    .0094958
             log_industry_dynamism |   -20.8924   16.49858    -1.27   0.205    -53.22902    11.44421
    StandardIndustryClassification |   .0659431   .0727926     0.91   0.365    -.0767277    .2086139
                           q_tobin |    22.6127   31.99808     0.71   0.480    -40.10239    85.32779
                                   |
                             fyear |
                             2007  |    2.97971   18.11473     0.16   0.869     -32.5245    38.48392
                             2008  |   54.23142   117.8298     0.46   0.645    -176.7108    285.1736
                             2009  |  -56.48408   49.60965    -1.14   0.255    -153.7172    40.74905
                             2010  |  -27.87326    52.2187    -0.53   0.593      -130.22    74.47351
                             2011  |   79.77194   56.71759     1.41   0.160     -31.3925    190.9364
                             2012  |   140.9612   93.87834     1.50   0.133    -43.03702    324.9593
                             2013  |   146.3083   94.16647     1.55   0.120    -38.25454    330.8712
                             2014  |   31.14564   65.17024     0.48   0.633    -96.58569     158.877
                             2015  |   79.98332   83.16322     0.96   0.336    -83.01361    242.9802
                             2016  |   18.27598   77.49625     0.24   0.814    -133.6139    170.1658
                             2017  |   -267.867   70.17288    -3.82   0.000    -405.4033   -130.3307
                             2018  |  -586.8568   177.3886    -3.31   0.001    -934.5321   -239.1815
                             2019  |   -931.601   197.4204    -4.72   0.000    -1318.538   -544.6641
                                   |
                             _cons |   87.81841   326.2587     0.27   0.788    -551.6369    727.2737
    -------------------------------+----------------------------------------------------------------
                           sigma_u |  598.02297
                           sigma_e |  411.49715
                               rho |  .67866733   (fraction of variance due to u_i)
    ------------------------------------------------------------------------------------------------
    Do you have any advice why this problem occurs and how I could solve it.

    If you do not have any suggestions, is the missing value a major concern or does the model still maintain its validity?

    Kind regards,
    Henrik Friede


    Last edited by Henrik Friede; 21 Nov 2022, 08:40.

  • #2
    Henrik:
    welcome to this forum.
    See -help j_robustsingular-.
    Kind regards,
    Carlo
    (Stata 19.0)

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