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

34 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

Access to Document

10.1093/biostatistics/kxh014

Cite this

@article{78594a5b5b2a4ec193a1c81614817a39,

title = "Mixed models for the analysis of replicated spatial point patterns",

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.",

keywords = "Berman-Turner device, Generalized linear mixed models, Maximum pseudolikelihood, Pairwise interaction, Strauss process",

author = "Bell, {Melanie L.} and Grunwald, {Gary K.}",

year = "2004",

month = oct,

doi = "10.1093/biostatistics/kxh014",

language = "English (US)",

volume = "5",

pages = "633--648",

journal = "Biostatistics",

issn = "1465-4644",

publisher = "Oxford University Press",

number = "4",

}

TY - JOUR

T1 - Mixed models for the analysis of replicated spatial point patterns

AU - Bell, Melanie L.

AU - Grunwald, Gary K.

PY - 2004/10

Y1 - 2004/10

N2 - 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.

AB - 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.

KW - Berman-Turner device

KW - Generalized linear mixed models

KW - Maximum pseudolikelihood

KW - Pairwise interaction

KW - Strauss process

UR - http://www.scopus.com/inward/record.url?scp=16644401754&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=16644401754&partnerID=8YFLogxK

U2 - 10.1093/biostatistics/kxh014

DO - 10.1093/biostatistics/kxh014

M3 - Article

C2 - 15475424

AN - SCOPUS:16644401754

VL - 5

SP - 633

EP - 648

JO - Biostatistics

JF - Biostatistics

SN - 1465-4644

IS - 4

ER -

Mixed models for the analysis of replicated spatial point patterns

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this