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Table 4 Goodness-of-fit test details and the estimated parameters of the fitted distribution model

From: Headway distribution models of two-lane roads under mixed traffic conditions: a case study from India

 

v/c ratio

K-S test statistic (D-value)

Estimated Parameters (α 1, β 2)

P –Value3

Significance level

Critical value3

Hypothesis test

Log logistic (2P)

Pearson 5 (2P)

Pearson 6 (3P)

Lognormal

West bound traffic

0.6

0.26467(1)

0.33164(2)

0.33281(3)

0.3420(4)

1.7277; 2.5374

0.22670

0.05

0.37543

Accept

0.7

0.33262(1)

0.36204(3)

0.36038(2)

0.3643(4)

1.6063; 1.9653

0.08819

0.05

0.39122

Accept

0.8

0.41250(4)

0.36275(1)

0.39565(3)

0.3652(2)

1.9385; 4.2904

0.09016

0.05

0.39256

Accept

0.9

0.65284(4)

0.35135(1)

0.49904(3)

0.3805(2)

2.2151; 4.7249

0.07057

0.05

0.38925

Accept

1.0

0.69634(4)

0.44933(1)

0.44968(2)

0.5168(3)

2.4433; 4.9689

0.04634

0.05

0.40925

Reject

East bound traffic

0.6

0.28394(1)

0.33164(2)

0.33831(3)

0.3492(4)

1.7301; 2.7077

0.23508

0.05

0.34890

Accept

0.7

0.33563(1)

0.36242(3)

0.35428(2)

0.3686(4)

1.8991; 2.1644

0.13807

0.05

0.39122

Accept

0.8

0.41250(4)

0.36484(1)

0.39565(3)

0.3829(2)

1.9199; 4.1315

0.09857

0.05

0.38431

Accept

0.9

0.62579(4)

0.37341(1)

0.49904(3)

0.4596(2)

2.6198; 4.8490

0.09186

0.05

0.39122

Accept

1.0

0.69634(4)

0.43762(1)

0.46675(2)

0.4964(3)

3.4817; 6.5551

0.03644

0.05

0.41926

Reject

  1. 1Shape parameter > 0; 2Scale parameter >0; 3Corresponds to the lowest K-S test statistic