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A comparison between parametric and non-parametric approaches to the analysis of replicated spatial point patterns.

Diggle, Peter J. and Mateu, J. and Clough, H. E. (2000) A comparison between parametric and non-parametric approaches to the analysis of replicated spatial point patterns. Advances in Applied Probability, 32 (2). pp. 331-343. ISSN 1475-6064

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Abstract

The paper compares non-parametric (design-based) and parametric (model-based) approaches to the analysis of data in the form of replicated spatial point patterns in two or more experimental groups. Basic questions for data of this kind concern estimating the properties of the underlying spatial point process within each experimental group, and comparing the properties between groups. A non-parametric approach, building on work by Diggle et. al. (1991), summarizes each pattern by an estimate of the reduced second moment measure or K-function (Ripley (1977)) and compares mean K-functions between experimental groups using a bootstrap testing procedure. A parametric approach fits particular classes of parametric model to the data, uses the model parameter estimates as summaries and tests for differences between groups by comparing fits with and without the assumption of common parameter values across groups. The paper discusses how either approach can be implemented in the specific context of a single-factor replicated experiment and uses simulations to show how the parametric approach can be more efficient when the underlying model assumptions hold, but potentially misleading otherwise.

Item Type: Article
Journal or Publication Title: Advances in Applied Probability
Uncontrolled Keywords: Expected significance levels ; K-function ; pseudo-likelihood function ; replicated spatial point patterns ; spatial analysis of variance
Subjects: Q Science > QA Mathematics
Departments: Faculty of Health and Medicine > Medicine
VC's Office
Faculty of Science and Technology > Mathematics and Statistics
ID Code: 19338
Deposited By: ep_ss_importer
Deposited On: 21 Nov 2008 09:41
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 15:28
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/19338

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