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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 Ì‚

 

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.