TY - JOUR
T1 - Testing uniformity of a spatial point pattern
AU - Ho, Lai Ping
AU - Chiu, Sung Nok
N1 - Funding Information:
We thank an associate editor and the referees for helpful comments. This research was supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project Numbers HKBU2048/02P and HKBU200503) and an FRG grant from the Hong Kong Baptist University.
PY - 2007/6
Y1 - 2007/6
N2 - For a spatial point pattern observed in a bounded window, we propose using discrepancies, which are measures of uniformity in the quasi-Monte Carlo method, to test the complete spatial randomness hypothesis. Tests using these discrepancies are in fact goodness-of-fit tests for uniform distribution. The discrepancies are free from edge effects and, unlike the popular maximum absolute pointwise difference statistic of a summary function over a suitably chosen range, do not have an arbitrary parameter. Simulation studies show that they are often more powerful when a given pattern is a realization of a process with long-range interaction or a nonstationary process.
AB - For a spatial point pattern observed in a bounded window, we propose using discrepancies, which are measures of uniformity in the quasi-Monte Carlo method, to test the complete spatial randomness hypothesis. Tests using these discrepancies are in fact goodness-of-fit tests for uniform distribution. The discrepancies are free from edge effects and, unlike the popular maximum absolute pointwise difference statistic of a summary function over a suitably chosen range, do not have an arbitrary parameter. Simulation studies show that they are often more powerful when a given pattern is a realization of a process with long-range interaction or a nonstationary process.
KW - Complete spatial randomness
KW - Discrepancy
KW - Quasi-Monte Carlo method
KW - Spatial point process
UR - http://www.scopus.com/inward/record.url?scp=34250765698&partnerID=8YFLogxK
U2 - 10.1198/106186007X208966
DO - 10.1198/106186007X208966
M3 - Journal article
AN - SCOPUS:34250765698
SN - 1061-8600
VL - 16
SP - 378
EP - 398
JO - Journal of Computational and Graphical Statistics
JF - Journal of Computational and Graphical Statistics
IS - 2
ER -