Mixed models for the analysis of replicated spatial point patterns

Melanie L. Bell, Gary K. Grunwald

Research output: Contribution to journalArticle

32 Scopus citations

Abstract

The statistical methodology for the analysis of replicated spatial point patterns in complex designs such as those including replications is fairly undeveloped. A mixed model is developed in conjunction with maximum pseudolikelihood and generalized linear mixed modeling by extending Baddeley and Turner's (2000, Australian and New Zealand Journal of Statistics 42, 283-322) work on pseudolikelihood for single patterns. A simulation experiment is performed on parameter estimation. Fixed- and mixed-effect models are compared, and in some respects the mixed model is found to be superior. An example using the Strauss process for modeling neuron locations in post-mortem brain slices is shown.

Original languageEnglish (US)
Pages (from-to)633-648
Number of pages16
JournalBiostatistics
Volume5
Issue number4
DOIs
StatePublished - Oct 1 2004
Externally publishedYes

Keywords

  • Berman-Turner device
  • Generalized linear mixed models
  • Maximum pseudolikelihood
  • Pairwise interaction
  • Strauss process

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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