Table 3 Number of pieces of information and term of imprisonment/amount of fine: Polynomials.

From: The rationality of the punishment ladder: evidence from a quasi-natural experiment in China

Variable

(1)

(2)

(3)

(4)

(5)

(6)

Term of imprisonment

Amount of fine

Linear

Quadratic

Cubic

Linear

Quadratic

Cubic

Whether the number of pieces of information is more than 50,000

8.425**

8.374**

8.390**

−11.990

−10.820

−10.080

(3.859)

(3.755)

(3.615)

(68.160)

(66.330)

(63.850)

Number of pieces of information

0.825

0.0875

0.0115

1.212

0.0241

−0.00508

(2.818)

(0.274)

(0.035)

(49.780)

(4.848)

(0.614)

Logarithm of the amount of profit

0.704**

0.704**

0.703**

4.666

4.659

4.656

(0.297)

(0.297)

(0.297)

(5.248)

(5.246)

(5.244)

Tribunal size

3.260**

3.257**

3.256**

8.038

8.064

8.083

(1.570)

(1.570)

(1.570)

(27.730)

(27.730)

(27.730)

Principal criminal

0.484

0.483

0.486

−48.620

−48.550

−48.500

(3.492)

(3.491)

(3.490)

(61.680)

(61.660)

(61.650)

Accessary criminal

−12.190***

−12.190***

−12.180***

−27.900

−27.620

−27.450

(3.434)

(3.422)

(3.410)

(60.660)

(60.440)

(60.230)

First offender

−2.847

−2.840

−2.835

65.670*

65.640*

65.620*

(2.205)

(2.205)

(2.206)

(38.940)

(38.950)

(38.960)

Surrender

−2.406

−2.380

−2.364

−5.527

−5.688

−5.814

(2.619)

(2.627)

(2.633)

(46.250)

(46.400)

(46.510)

Admittance of guilt and acceptance of punishment

−0.619

−0.608

−0.600

19.530

19.480

19.440

(1.948)

(1.949)

(1.951)

(34.400)

(34.430)

(34.450)

Presence of a defender

4.545*

4.541*

4.542*

5.429

5.520

5.578

(2.557)

(2.556)

(2.554)

(45.160)

(45.140)

(45.120)

Gender

2.604

2.601

2.590

32.060

31.900

31.820

(2.391)

(2.383)

(2.375)

(42.230)

(42.090)

(41.960)

Educational attainment

0.0185

0.0192

0.0198

−7.777**

−7.780**

−7.782**

(0.179)

(0.179)

(0.179)

(3.154)

(3.156)

(3.157)

Unemployed status

−1.338

−1.327

−1.317

−14.740

−14.740

−14.760

(2.014)

(2.014)

(2.015)

(35.570)

(35.580)

(35.590)

Logarithm of per-capita GDP

8.186

8.231

8.241

462.8**

462.2**

461.8**

(11.150)

(11.150)

(11.140)

(196.900)

(196.900)

(196.800)

Logarithm of R&D expenditure

−2.319

−2.339

−2.355

−34.010

−33.930

−33.860

(2.501)

(2.506)

(2.510)

(44.180)

(44.260)

(44.340)

Constant term

−53.730

−51.990

−51.160

−4501.7**

−4491.7**

−4487.6**

(108.200)

(106.500)

(106.000)

(1911.600)

(1881.900)

(1872.400)

Province fixed effects

Yes

Yes

Yes

Yes

Yes

Yes

Year fixed effects

Yes

Yes

Yes

Yes

Yes

Yes

Observations

472

472

472

472

472

472

R2

0.462

0.462

0.462

0.171

0.171

0.171

  1. The values shown in parentheses are robust standard errors of the estimates, *, **, and *** indicate 10%, 5%, and 1% significance levels, respectively.