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Table 2 Standard Deviation of the LS and the L2E Estimators for the Peak Period (7–9 a.m.)

Table 2
Standard Deviation of the LS and the L2E Estimators for the Peak Period (7–9 a.m.)

Excel | CSV

ODkj Pkj Asymptotic
STD
STD Estimated standard error of split proportion between origin node k and destination node j using the LS estimator		 Bootstrap
STD
STD Estimated standard error of split proportion between origin node k and destination node j using the LS estimator		 Absolute
percent
error
(APE)		 Asymptotic
STD
STD Estimated standard error of split proportion between origin node k and destination node j using the L subscript {2} E estimator		 Bootstrap
STD
STD Estimated standard error of split proportion between origin node k and destination node j using the L subscript {2} E estimator		 Absolute
percent
error
(APE)
1/1 0.18 0.01 0.01    0 0.01 0.01   0
1/2 0.56 0.05 0.07   29 0.06 0.07  14
1/3 0.08 0.08 0.11   27 0.10 0.11   9
1/4 0.03 0.06 0.04   50 0.07 0.04  75
1/5 0.06 0.08 0.06   33 0.10 0.04 150
1/6 0.08 0.08 0.05   60 0.09 0.05  80
2/2 0.74 0.06 0.01  500 0.07 0.00   0
2/3 0.10 0.08 0.01  700 0.10 0.04 150
2/4 0.04 0.10 0.08   25 0.12 0.13   8
2/5 0.07 0.07 0.06   17 0.09 0.09   0
2/6 0.05 0.06 0.02  200 0.08 0.01 700
3/3 0.32 0.11 0.07   57 0.13 0.09  44
3/4 0.15 0.10 0.08   25 0.12 0.12   0
3/5 0.23 0.08 0.05   60 0.10 0.06  67
3/6 0.30 0.08 0.05   60 0.10 0.08  25
4/4 0.37 0.06 0.04   50 0.08 0.05  60
4/5 0.31 0.11 0.01 1,000 0.13 0.06 117
4/6 0.33 0.10 0.05  100 0.12 0.09  33
5/5 0.70 0.08 0.06   33 0.10 0.10   0
5/6 0.30 0.08 0.05   60 0.10 0.08  25
6/6 1.00 0.00 0.00    0 0.00 0.00   0

Key:

Odkj - Number of vehicles departing from origin node k that arrive at destination node j

Pkj - Observed split proportion matrix between origin node k and destination node j

STDEstimated standard error of split proportion between origin node k and destination node j using the LS estimator - Estimated standard error of split proportion between origin node k and destination node j using the LS estimator

STDEstimated standard error of split proportion between origin node k and destination node j using the L subscript {2} E estimator - Estimated standard error of split proportion between origin node k and destination node j using the L2E estimator

APE - Difference between bootstrap STD and asymptotic STD divided by bootstrap STD