Modelling the Bivariate Spatial Distribution of Amacrine Cells

  • Peter J. Diggle
  • Stephen J. Eglen
  • John B. Troy
Part of the Lecture Notes in Statistics book series (LNS, volume 185)


We are interested in studying the spatial dependency between the positions of on and off cholinergic amacrine cells because we hope this will tell us something about how the two cell types emerge during development.

Our goal in is to demonstrate how recently developed Monte Carlo methods for conducting likelihood-based analysis of realistic point process models can lead to sharper inferences about the bivariate structure of the data. In particular, we will formulate and fit a bivariate pairwise interaction model for the amacrines data, and will argue that likelihood-based inference within this model is both statistically more efficient and scientifically more relevant than ad hoc testing of benchmark hypotheses such as independence.

Key words

Bivariate pairwise interaction processes Cholinergic amacrine cells Likelihood-based inference Monte-Carlo methods 


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Copyright information

© Springer Science+Business Media Inc. 2006

Authors and Affiliations

  • Peter J. Diggle
    • 1
  • Stephen J. Eglen
    • 2
  • John B. Troy
    • 3
  1. 1.Lancaster University and Johns Hopkins University School of Public HealthUK
  2. 2.University of CambridgeUK
  3. 3.Northwestern UniversityUSA

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