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Table 5 Regression parameters of developed accident prediction models

From: Safety assessment of Czech motorways and national roads

M01

\( \widehat{N}={\beta}_0\bullet {\left({AADT}_{major}\right)}^{\beta_1}\bullet {\left({AADT}_{minor}\right)}^{\beta_2}\bullet \exp (Type)\bullet \exp (Control) \)

 

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

β 0

7.185

E-05

1.365

E-05

2.534

E-06

1.286

E-05

7.885

E-07

1.746

E-06

1.112

E-05

5.820

E-05

β 1

0.671

β 2

0.337

Type = crossing

1.354

= roundabout

1.307

= merging

0.195

= diverging

0

Control = no

–0.761

= yes

0

M02

\( \widehat{N}={\beta}_0\bullet {AADT}^{\beta_1}\bullet {L}^{\beta_2}\bullet \exp (Curve) \)

 

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

β 0

1.326

E-03

2.519

E-04

4.676

E-05

2.373

E-04

1.455

E-05

3.221

E-05

2.051

E-04

1.074

E-03

β 1

0.772

β 2

0.612

Curve = curved

0.624

= straight

0

M03

\( \widehat{N}={\beta}_0\bullet {AADT}^{\beta_1}\bullet {L}^{\beta_2} \)

 

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

β 0

2.702

E-04

5.133

E-05

9.529

E-06

4.837

E-05

2.965

E-06

6.564

E-06

4.180

E-05

2.188

E-04

β 1

0.967

β 2

0.699

M04

\( \widehat{N}={\beta}_0\bullet {\left({AADT}_{major}\right)}^{\beta_1}\bullet {\left({AADT}_{minor}\right)}^{\beta_2}\bullet \exp (Turn) \)

  

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

Rural

β 0

4.982

E-04

2.392

E-04

4.994

E-05

2.284

E-04

1.075

E-05

3.919

E-05

1.892

E-04

2.591

E-04

β 1

0.481

β 2

0.476

Turn = yes

–0.267

= no

0

M05

\( \widehat{N}={\beta}_0\bullet {\left({AADT}_{major}\right)}^{\beta_1}\bullet {\left({AADT}_{proportion}\right)}^{\beta_2}\bullet \exp (Turn) \)

  

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

Rural

β 0

2.777

E-03

1.722

E-03

4.235

E-04

1.615

E-03

1.067

E-04

3.168

E-04

1.298

E-03

1.055

E-03

β 1

0.907

β 2

0.772

Turn = yes

–0.558

= no

0

M06

\( \widehat{N}={\beta}_0\bullet {\left({AADT}_{sum}\right)}^{\beta_1}\bullet \exp (Legs) \)

 

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

β 0

1.273

E-05

4.329

E-06

3.516

E-07

4.304

E-06

2.598

E-08

3.256

E-07

3.978

E-06

8.404

E-06

β 1

1.220

Legs = 3

–0.464

= 4

0

M07

\( \widehat{N}={\beta}_0\bullet {AADT}^{\beta_1}\bullet {L}^{\beta_2} \)

  

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

Rural

β 0

4.780

E-02

1.721

E-02

3.421

E-03

1.598

E-02

1.227

E-03

2.194

E-03

1.379

E-02

3.059

E-02

β 1

0.434

β 2

0.584

Urban

β 0

9.142

E-03

3.382

E-03

4.687

E-04

3.274

E-03

1.081

E-04

3.606

E-04

2.914

E-03

5.759

E-03

β 1

0.648

β 2

0.713

M08

\( \widehat{N}={\beta}_0\bullet {AADT}^{\beta_1}\bullet {L}^{\beta_2}\bullet \exp \left({\beta}_3\bullet Minor\right) \)

 

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

β 0

6.607

E-04

2.378

E-04

4.728

E-05

2.209

E-04

1.696

E-05

3.032

E-05

1.906

E-04

4.228

E-04

β 1

0.842

       

β 2

1.094

       

β 3

0.216

       

M09+10

\( \widehat{N}={\beta}_0\bullet {\left({AADT}_{major}\right)}^{\beta_1}\bullet {\left({AADT}_{proportion}\right)}^{\beta_2} \)

  

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

3-leg

β 0

3.842

E-05

2.612

E-05

4.706

E-06

2.463

E-05

1.492

E-06

3.214

E-06

2.142

E-05

1.229

E-05

β 1

1.221

β 2

0.507

4-leg

β 0

9.272

E-05

6.305

E-05

1.136

E-05

5.945

E-05

3.600

E-06

7.757

E-06

5.169

E-05

2.967

E-05

β 1

1.278

β 2

1.004

M11

\( \widehat{N}={\beta}_0\bullet {AADT}^{\beta_1}\bullet {L}^{\beta_2}\bullet \exp \left({\beta}_3\bullet Minor\right) \)

 

ALL

INJ

FAT+SEV

SEV+SLI

FAT

SEV

SLI

PDO

β 0

6.543

4.450

E-04

8.015

E-05

4.195

E-04

2.541

E-05

5.475

E-05

3.648

E-04

2.094

E-04

E-04

β 1

0.885

β 2

0.985

β 3

0.091

  1. For interpretation of model types (M01, …, M11) see Tables 1 and 4
  2. As introduced in Section 3.3, severity levels are FAT, SEV, SLI, PDO, plus combinations: FAT+SEV, SEV+SLI, INJ (injury accidents), ALL (all accidents)
  3. Explanatory variables (abbreviations, definitions, units) are listed in Table 2 and Section 3.4
  4. Regression constants (β0) are reported using scientific notation (e.g., 7.185E-05 = 7.18510-5)