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    Estimating a ratio of means from bivariate counts with applications in stereology

    Access Status
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    Authors
    Chia, J.
    Baddeley, Adrian
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Chia, J. and Baddeley, A. 2011. Estimating a ratio of means from bivariate counts with applications in stereology. Australian and New Zealand Journal of Statistics. 53 (3): pp. 365-387.
    Source Title
    Australian and New Zealand Journal of Statistics
    DOI
    10.1111/j.1467-842X.2011.00629.x
    ISSN
    1369-1473
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/16258
    Collection
    • Curtin Research Publications
    Abstract

    In survey sampling and in stereology, it is often desirable to estimate the ratio of means ?= E(Y)/E(X) from bivariate count data (X, Y) with unknown joint distribution. We review methods that are available for this problem, with particular reference to stereological applications. We also develop new methods based on explicit statistical models for the data, and associated model diagnostics. The methods are tested on a stereological dataset. For point-count data, binomial regression and bivariate binomial models are generally adequate. Intercept-count data are often overdispersed relative to Poisson regression models, but adequately fitted by negative binomial regression. © 2011 Australian Statistical Publishing Association Inc.

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