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Assessing shape differences in populations of shapes using the complex watson shape distribution

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  • Athanasios Micheas
  • Dipak Dey

Abstract

This paper presents a novel Bayesian method based on the complex Watson shape distribution that is used in detecting shape differences between the second thoracic vertebrae for two groups of mice, small and large, categorized according to their body weight. Considering the data provided in Johnson et al. (1988), we provide Bayesian methods of estimation as well as highest posterior density (HPD) estimates for modal vertebrae shapes within each group. Finally, we present a classification procedure that can be used in any shape classification experiment, and apply it for categorizing new vertebrae shapes in small or large groups.

Suggested Citation

  • Athanasios Micheas & Dipak Dey, 2005. "Assessing shape differences in populations of shapes using the complex watson shape distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(2), pages 105-116.
    • Handle: RePEc:taf:japsta:v:32:y:2005:i:2:p:105-116
    DOI: 10.1080/02664760500054137
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    References listed on IDEAS

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    1. K. V. Mardia & I. L. Dryden, 1999. "The complex Watson distribution and shape analysis," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(4), pages 913-926.
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    Cited by:

    1. Athanasios Micheas & Yuqiang Peng, 2010. "Bayesian Procrustes analysis with applications to hydrology," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(1), pages 41-55.

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