 |
 |
Statistics seminar Liverpool University Statistics Division Time: 2pm, Wednesday May 26th Venue: Room 6.04, Maths & Oceanography Building, University of Liverpool Speaker: Helen Wilson, University of Liverpool Title: A comparison of a parametric and a non-parametric approach to the assessment of replicated spatial point patterns Abstract: The basic methodology for analysing spatial point pattern data is now well established (Cressie (1993), Diggle (1983), Ripley (1981)). For the single replicate point patterns which dominate the spatial point pattern literature, there has been a strong emphasis on fitting parametric models. The fields of pathology and materials science, however, present us with numerous opportunities for collecting replicated spatial point pattern data. As an example, we can easily digitise the positions of cells within multiple windows imposed upon brain tissue, using only standard microscopical equipment. In our work, we exploit replication of this nature, and develop a parametric and a non-parametric approach to the assessment of replicated spatial point patterns. We begin by proposing a non-parametric method, motivated by analysis of variance, which uses the replication as the basis for inference. Subsequently, we suggest a parametric, maximum pseudo-likelihood based approach to the same problem. Specifically, we address the following questions: When we specify the correct model for a given data set, is the parametric approach more powerful than the non-parametric approach? When the model specification is incorrect, does the parametric approach give misleading results? This is joint work with Peter Diggle (University of Lancaster, U.K.) and Jorge Mateu (Universitat Jaume I, E-12071 Castellón, Spain). Microscopy was carried out with Dr. Vyvyan Howard (University of Liverpool, U.K.) Other forthcoming seminars: Friday 4 June Clive Anderson (University of Sheffield) Tuesday 21 September Alexandros Karagregoriou (University of Cyprus) On asymptotic properties of model identification procedures Full seminar programme available via http://www.liv.ac.uk/maths/SOR/ Damian Clancy ----------------- [log in to unmask] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%