Mixed models for the analysis of replicated spatial point patterns

Melanie L Bell, Gary K. Grunwald

Research output: Contribution to journalArticle

31 Citations (Scopus)

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 2004
Externally publishedYes

Fingerprint

Spatial Point Pattern
Pseudo-likelihood
Spatial Analysis
Mixed Model
New Zealand
Fixed Effects Model
Neurons
Mixed Effects Model
Brain
Modeling
Slice
Replication
Simulation Experiment
Parameter Estimation
Neuron
Statistics
Methodology
Mixed model

Keywords

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

ASJC Scopus subject areas

  • Medicine(all)
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Mixed models for the analysis of replicated spatial point patterns. / Bell, Melanie L; Grunwald, Gary K.

In: Biostatistics, Vol. 5, No. 4, 10.2004, p. 633-648.

Research output: Contribution to journalArticle

Bell, Melanie L ; Grunwald, Gary K. / Mixed models for the analysis of replicated spatial point patterns. In: Biostatistics. 2004 ; Vol. 5, No. 4. pp. 633-648.
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