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Multiple Comparisons of Biodiversity
Author(s) -
Rogers James A.,
Hsu Jason C.
Publication year - 2001
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/1521-4036(200109)43:5<617::aid-bimj617>3.0.co;2-j
Subject(s) - diversity (politics) , biodiversity , statistics , diversity index , extinction (optical mineralogy) , mathematics , sample size determination , construct (python library) , ecology , econometrics , biology , computer science , species richness , sociology , paleontology , anthropology , programming language
A common goal in statistical ecology is to compare several communities and or time points with respect to taxonomic diversity (usually species diversity). For this purpose, the current literature recommends the application of traditional ANOVA techniques to “replicates” of diversity indices. This approach is not even asymptotically correct because diversity index estimates have unequal variances, even when sample sizes are equal and even when the hypothesis of equality of diversity indices is true. It is shown that transformations of the data can not be used to remedy this situation. We construct an asymptotically correct method and illustrate its implementation using dinosaur extinction data.