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Spatial Point Patterns
book

Spatial Point Patterns

by Adrian Baddeley, Ege Rubak, Rolf Turner
November 2015
Intermediate to advanced content levelIntermediate to advanced
828 pages
33h 11m
English
Chapman and Hall/CRC
Content preview from Spatial Point Patterns
374 Spatial Point Patterns: Methodology and Applications with R
10.3.3 Wald test for single parameter
The Wald test of H
0
:
ϕ
= 0 for a one-dimensional parameter
ϕ
is based on the statistic
V =
b
ϕ
se(
ˆ
ϕ
)
(10.2)
where
b
ϕ
is the maximum likelihood estimate of
ϕ
under the alternative hypothesis H
1
, and se(
ˆ
ϕ
) is
the plug-in estimate of standard error of
b
ϕ
. The asymptotic null distribution of V is standard normal.
The likelihood ratio test is asymptotically equivalent to the Wald te st, under regularity conditions.
For a loglinear Poisson point process model fitted by ppm, the Wald test for each coefficient is
performed as part of the print metho d. It can be recovered ...
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Publisher Resources

ISBN: 9781482210217