Mixed models for the analysis of replicated spatial point patterns

Melanie L. Bell; Gary K. Grunwald

doi:10.1093/biostatistics/kxh014

Mixed models for the analysis of replicated spatial point patterns

Melanie L. Bell, Gary K. Grunwald

Research output: Contribution to journal › Article › peer-review

35 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 language	English (US)
Pages (from-to)	633-648
Number of pages	16
Journal	Biostatistics
Volume	5
Issue number	4
DOIs	https://doi.org/10.1093/biostatistics/kxh014
State	Published - Oct 2004

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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10.1093/biostatistics/kxh014

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Mixed models for the analysis of replicated spatial point patterns

Abstract

Keywords

ASJC Scopus subject areas

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