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    On tests of spatial pattern based on simulation envelopes

    Access Status
    Fulltext not available
    Authors
    Baddeley, Adrian
    Diggle, P.
    Hardegen, A.
    Lawrence, T.
    Milne, R.
    Nair, G.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Baddeley, A. and Diggle, P. and Hardegen, A. and Lawrence, T. and Milne, R. and Nair, G. 2014. On tests of spatial pattern based on simulation envelopes. Ecological Monographs. 84 (3): pp. 477-489.
    Source Title
    Ecological Monographs
    DOI
    10.1890/13-2042.1
    ISSN
    0012-9615
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/5019
    Collection
    • Curtin Research Publications
    Abstract

    In the analysis of spatial point patterns, an important role is played by statistical tests based on simulation envelopes, such as the envelope of simulations of Ripley's K function. Recent ecological literature has correctly pointed out a common error in the interpretation of simulation envelopes. However, this has led to a widespread belief that the tests themselves are invalid. On the contrary, envelope-based statistical tests are correct statistical procedures, under appropriate conditions. In this paper, we explain the principles of Monte Carlo tests and their correct interpretation, canvas the benefits of graphical procedures, measure the statistical performance of several popular tests, and make practical recommendations. There are several caveats including the under-recognized problem that Monte Carlo tests of goodness of fit are probably conservative if the model parameters have to be estimated from data. Finally, we discuss whether graphs of simulation envelopes can be used to infer the scale of spatial interaction.

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