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A Significance Test for Morisita’a Index of Dispersion and the Moments when the Population is Negative Binomial and Poisson

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Estimation and Analysis of Insect Populations

Part of the book series: Lecture Notes in Statistics ((LNS,volume 55))

Abstract

The moments of Morisita’s index of dispersion are derived assuming the observed counts follow negative binomial and Poisson distributions. The moments are expressed as truncated infinite series. Bounds are placed on the truncation error. The rate of convergence to normality of the index appears to be slow for populations with low mean density. A significance test for the comparison of the dispersions of two populations is suggested. Data from a census of the presence of the southern green stinkbug (Nezara Viridula) on three crops are used to examine the effect of sample size and quadrat size on the power of this test and on confidence interval coverages.

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Author information

Authors and Affiliations

  1. Department of Statistics, University of Georgia, Athens, GA, 30602, USA

    K. Hutcheson

  2. Institute of Ecology, University of Georgia, Athens, GA, 30602, USA

    N. I. Lyons

Authors
  1. K. Hutcheson
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  2. N. I. Lyons
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Editor information

Editors and Affiliations

  1. Departments of Statistics and Zoology, University of Wyoming, Laramie, WY, 82071, USA

    Lyman L. McDonald

  2. Department of Mathematics and Statistics, University of Otago, Dunedin, New Zealand

    Bryan F. J. Manly

  3. Department of Plant, Soil and Insect Sciences, University of Wyoming, Laramie, WY, 82071, USA

    Jeffrey A. Lockwood

  4. Departments of Entomology and Forestry, Virginia Polytechnic Institute, Blacksburg, VA, 24061, USA

    Jesse A. Logan

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© 1989 Springer-Verlag Berlin Heidelberg

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Hutcheson, K., Lyons, N.I. (1989). A Significance Test for Morisita’a Index of Dispersion and the Moments when the Population is Negative Binomial and Poisson. In: McDonald, L.L., Manly, B.F.J., Lockwood, J.A., Logan, J.A. (eds) Estimation and Analysis of Insect Populations. Lecture Notes in Statistics, vol 55. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3664-1_23

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  • DOI: https://doi.org/10.1007/978-1-4612-3664-1_23

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96998-5

  • Online ISBN: 978-1-4612-3664-1

  • eBook Packages: Springer Book Archive

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