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

  • K. Hutcheson
  • N. I. Lyons
Part of the Lecture Notes in Statistics book series (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.

Keywords

Maximum Likelihood Estimator Negative Binomial Distribution Negative Binomial Confidence Interval Estimation Quadrat Size 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • K. Hutcheson
    • 1
  • N. I. Lyons
    • 2
  1. 1.Department of StatisticsUniversity of GeorgiaAthensUSA
  2. 2.Institute of EcologyUniversity of GeorgiaAthensUSA

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