Test for independence between marks and points of marked point processes: A subsampling approach

Yongtao Guan, David R. Afshartous

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Ecological data often involve measurements taken at irregularly spaced locations (e.g., the heights of trees in a forest). A useful approach for modeling such data is via a marked point process, where the marks (i.e., measurements) and points (i.e., locations) are often assumed to be independent. Although this is a convenient assumption, it may not hold in practice. Schlather et al. (Journal of the Royal Statistical Society Services B, 66, 79-93, 2004) proposed a simulation-based approach to test this assumption. This paper presents a new method for testing the assumption of independence between the marks and the points. Instead of considering a simulation approach, we derive analytical results that allow the test to be implemented via a conventional χ2 statistic. We illustrate the use of our approach by applying it to an example involving desert plant data.

Original languageEnglish (US)
Pages (from-to)101-111
Number of pages11
JournalEnvironmental and Ecological Statistics
Volume14
Issue number2
DOIs
StatePublished - Jun 2007
Externally publishedYes

Fingerprint

Marked Point Process
Subsampling
Data structures
Point Location
Data Modeling
Statistics
Statistic
Simulation
Testing
simulation
desert
Independence
test
Marked point process
modeling

Keywords

  • Conditional expectation of marks
  • Subsampling

ASJC Scopus subject areas

  • Environmental Science(all)
  • Environmental Chemistry

Cite this

Test for independence between marks and points of marked point processes : A subsampling approach. / Guan, Yongtao; Afshartous, David R.

In: Environmental and Ecological Statistics, Vol. 14, No. 2, 06.2007, p. 101-111.

Research output: Contribution to journalArticle

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