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

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ODkj	Pkj	Asymptotic STD STD	Bootstrap STD STD	Absolute percent error (APE)	Asymptotic STD STD	Bootstrap STD STD	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:

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

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

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

STD       - 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