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) |
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Pages (from-to) | 633-648 |
Number of pages | 16 |
Journal | Biostatistics |
Volume | 5 |
Issue number | 4 |
DOIs | |
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