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 Scopus citations

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 1 2007
Externally publishedYes

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Keywords

  • Conditional expectation of marks
  • Subsampling

ASJC Scopus subject areas

  • Statistics and Probability
  • Environmental Science(all)
  • Statistics, Probability and Uncertainty

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