April 2016
Intermediate to advanced
384 pages
11h 9m
English
book
Transportation Statistics and Microsimulation
by Clifford Spiegelman, Eun Sug Park, Laurence R. Rilett
Content preview from Transportation Statistics and Microsimulation
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162 ◾ Transportation Statistics and Microsimulation
how close the estimated dierence is relative to its standard error. e
estimated dierence
ˆˆ
PP
12
−
has an estimated standard error of
SE PP
PP
n
PP
n
(
ˆˆ
)
ˆ
(
ˆ
)
ˆ
(
ˆ
)
12
11
1
22
2
11
−=
−
+
−
..
(9.8)
us, we test the hypotheses:
Hp p
Hp p
a
01 2
12
:
:
=
≠
using a generalization of the single population approach. We use the
test statistic
ˆˆ
(
ˆˆ
)
PP
SE PP
12
12
−
−
(9.9)
and reject
H
0
if it is greater than
z
12−α/
. Otherwise, we do not reject
H
0
.
As before, we can also use a condence interval to test the same hypoth-
esis, and once again, it provides more information than the hypothesis
test. e corresponding condence ...