A More Powerful Test for Dispersion Using Distance Measurements | Zendy

Johnson Roger B. | Zendy; Zimmer William J. | Zendy

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A More Powerful Test for Dispersion Using Distance Measurements

Author(s) -

Johnson Roger B.,

Zimmer William J.

Publication year - 1985

Publication title -

ecology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.144

H-Index - 294

eISSN - 1939-9170

pISSN - 0012-9658

DOI - 10.2307/1938029

Subject(s) - dispersion (optics) , index of dispersion , mathematics , statistics , index (typography) , power (physics) , test (biology) , statistical physics , ecology , computer science , physics , biology , optics , poisson regression , population , demography , quantum mechanics , sociology , world wide web

A new index of dispersion I is proposed. I is based on distance measurements, has computable moments, and is asymptotically normal under the important pattern assumptions. I also provides a test for dispersion. The power of the I test and the asymptotic relative efficiency were computed with respect to two previously proposed tests for dispersion. It was found that the test based on I is more powerful than the other tests for several alternative hypotheses. In addition, I is easily extendable and applicable to m dimensions, whereas other indices and tests relate only to two dimensions.

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