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An extension of an over-dispersion test for count data

An extension of an over-dispersion test for count data
An extension of an over-dispersion test for count data
While over-dispersion in capture–recapture studies is well known to lead to poor estimation of population size, current diagnostic tools to detect the presence of heterogeneity have not been specifically developed for capture–recapture studies. To address this, a simple and efficient method of testing for over-dispersion in zero-truncated count data is developed and evaluated. The proposed method generalizes an over-dispersion test previously suggested for un-truncated count data and may also be used for testing residual over-dispersion in zero-inflation data. Simulations suggest that the asymptotic distribution of the test statistic is standard normal and that this approximation is also reasonable for small sample sizes. The method is also shown to be more efficient than an existing test for over-dispersion adapted for the capture–recapture setting. Studies with zero-truncated and zero-inflated count data are used to illustrate the test procedures.

0167-9473
466-474
Baksh, M Fazil
f4af5259-dde2-405b-9050-c95eb331a7d8
Böhning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Lerdsuwansri, Rattana
56aa3b31-c2d9-412d-9769-0be3831a9334
Baksh, M Fazil
f4af5259-dde2-405b-9050-c95eb331a7d8
Böhning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Lerdsuwansri, Rattana
56aa3b31-c2d9-412d-9769-0be3831a9334

Baksh, M Fazil, Böhning, Dankmar and Lerdsuwansri, Rattana (2011) An extension of an over-dispersion test for count data. Computational Statistics and Data Analysis, 55 (1), 466-474. (doi:10.1016/j.csda.2010.05.015).

Record type: Article

Abstract

While over-dispersion in capture–recapture studies is well known to lead to poor estimation of population size, current diagnostic tools to detect the presence of heterogeneity have not been specifically developed for capture–recapture studies. To address this, a simple and efficient method of testing for over-dispersion in zero-truncated count data is developed and evaluated. The proposed method generalizes an over-dispersion test previously suggested for un-truncated count data and may also be used for testing residual over-dispersion in zero-inflation data. Simulations suggest that the asymptotic distribution of the test statistic is standard normal and that this approximation is also reasonable for small sample sizes. The method is also shown to be more efficient than an existing test for over-dispersion adapted for the capture–recapture setting. Studies with zero-truncated and zero-inflated count data are used to illustrate the test procedures.

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More information

e-pub ahead of print date: 1 June 2010
Published date: 2011
Organisations: Statistics, Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 210463
URI: http://eprints.soton.ac.uk/id/eprint/210463
ISSN: 0167-9473
PURE UUID: c8de0fbc-de0b-4f68-8250-8df137d471ff
ORCID for Dankmar Böhning: ORCID iD orcid.org/0000-0003-0638-7106

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Date deposited: 09 Feb 2012 11:55
Last modified: 15 Mar 2024 03:39

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Contributors

Author: M Fazil Baksh
Author: Rattana Lerdsuwansri

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