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Table 4 Main results - negative binomial 2 models

From: Immigration status and property crime: an application of estimators for underreported outcomes

PROPERTY_C NB2 NB2-Logit NB2-Logit NB2-Logit ZI-NB2-Logit
  (1) (2) (3) (4) (5)
  δ ~ δ ̂ η ̂ δ ̂ η ̂ δ ̂ η ̂ δ ̂ ̂ η ̂ ̂ ζ ̂ ̂
Immigrant -0.440 -0.697 0.484 -0.617 0.451 -0.500 0.325 -0.745 0.109 -0.515
  (0.356) (0.611) (1.057) (0.636) (1.043) (0.591) (0.924) (0.696) (0.832) (0.548)
Age 0.0005 -0.662*** 1.007*** -0.677*** 1.008*** -0.624* 0.980*** -0.683** 1.045*** 0.123**
  (0.031) (0.198) (0.197) (0.224) (0.206) (0.325) (0.302) (0.298) (0.219) (0.058)
Age 2 -0.001* 0.009*** -0.015*** 0.009*** -0.015*** 0.008* -0.014*** 0.010** -0.015*** -0.001
  (0.000) (0.003) (0.003) (0.003) (0.003) (0.005) (0.005) (0.004) (0.003) (0.001)
Male 0.669** 1.428*** -1.317* 1.457*** -1.333* 1.234*** -0.906* 0.634 -0.404 -0.960***
  (0.275) (0.430) (0.685) (0.443) (0.687) (0.464) (0.825) (0.470) (0.604) (0.259)
White     0.196 0.638 0.276 0.638 -0.870 0.940 -1.605***
     (0.611) (1.062) (0.614) (1.155) (0.682) (0.985) (0.375)
South 0.504* 1.077* -1.419* 1.024 -1.508 0.966 -1.600** 1.510** -1.875** 0.516
  (0.284) (0.601) (0.814) (0.696) (0.937) (0.599) (0.786) (0.680) (0.759) (0.474)
Midlands 0.593** 0.272 0.418 0.247 0.255 0.434 0.273 0.553 -0.500 0.217
  (0.272) (0.525) (0.880) (0.561) (0.954) (0.563) (1.105) (0.657) (0.857) (0.546)
North 1.256** 1.717*** -1.527 1.676** -1.628 1.943** -2.266 2.715*** -2.776*** 0.843*
  (0.012) (0.594) (0.956) (0.662) (1.027) (0.864) (1.435) (0.894) (0.964) (0.470)
Deprivation       0.053 -0.175    
       (0.096) (0.163)    
Truthful    -1.282***   -1.237***   -1.302***   -1.757*** 0.441
    (0.482)   (0.475)   (0.437)   (0.533) (0.373)
Constant -1.299*** 8.534*** -11.648*** 8.633** -12.253*** 7.555 -10.422* 10.499** -13.083*** -1.315
  (0.505) (3.028) (3.008) (3.671) (3.510) (5.518) (5.872) (5.081) (4.294) (1.014)
Sample size 11,604 11,604 11,604 10,940 11,604
Log likelihood -2,344.45 -2,315.13 -2,313.99 -2,197.14 -2257.79
α ̂ 46.39*** 41.66*** 41.64*** 41.82*** 14.589***
p ̂   0.447 0.430 0.441 0.391
ξ ̂         0.636
  1. Quasi Maximum Likelihood Standard Errors in Parentheses. *, **, *** denote 10%, 5%, 1% level of significance respectively.