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Analysis of a Three‐Dimensional Point Pattern with Replication

Author

Listed:
  • A. J. Baddeley
  • R. A. Moyeed
  • C. V. Howard
  • A. Boyde

Abstract

Techniques for analysing three‐dimensional spatial point patterns are demonstrated on data from a confocal microscope recording the locations of cells in three dimensions. New computational techniques are proposed for edge corrections and empty space measurement. A novel feature of the data is replication and nesting in a sampling design: multiple spatial patterns were observed from each of several animals. For this we develop a ratio regression approach.

Suggested Citation

  • A. J. Baddeley & R. A. Moyeed & C. V. Howard & A. Boyde, 1993. "Analysis of a Three‐Dimensional Point Pattern with Replication," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 42(4), pages 641-668, December.
    • Handle: RePEc:bla:jorssc:v:42:y:1993:i:4:p:641-668
    DOI: 10.2307/2986181
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    Cited by:

    1. David J Weston & Niall M Adams & Richard A Russell & David A Stephens & Paul S Freemont, 2012. "Analysis of Spatial Point Patterns in Nuclear Biology," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-15, May.
    2. Charles C. Taylor & Ian L. Dryden & Rahman Farnoosh, 2001. "The K‐Function for Nearly Regular Point Processes," Biometrics, The International Biometric Society, vol. 57(1), pages 224-231, March.
    3. Jasmine Burguet & Philippe Andrey, 2014. "Statistical Comparison of Spatial Point Patterns in Biological Imaging," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-12, February.

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