Research Article

Measuring Service Reliability Using Automatic Vehicle Location Data

Table 1

Hypothesis tests for potential travel time distributions.

Single modelsK-S test ( -value)*A-D test ( -value)*Parameters#Goodness-of-fit AIC
ShapeScale

Burr0.111 (0.089)1.574 (0.160)15.86/1.5930.00−590
Exponential0.563 (<0.05)46.657 (<0.05)28.89N/A−1071
Extreme value0.107 (0.110)2.160 (0.075)30.252.75−612
Gamma0.111 (0.088)1.364 (0.212)118.190.24−585
Log-normal0.110 (0.097)1.339 (0.220)3.360.09−584
Logistic0.110 (0.096)1.643 (0.146)28.831.59−595
Log-logistic0.111 (0.091)1.625 (0.149)3.3590.055−593
Normal0.112 (0.087)1.372 (0.210)28.892.68−587
Weibull0.091 (0.241)1.679 (0.139)11.1730.13−602

 * value < 0.05 rejects the null hypothesis that the data come from the distribution.
#The scale parameter indicates the degree of the spread for travel time distribution.
The shape parameter indicates the shape and location of the travel time distribution.