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Some observations on the use of discriminant analysis in ecology

Ecology

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Abstract

The application of discriminant analysis in ecological investigations is discussed. The appropriate statistical assumptions for discriminant analysis are illustrated, and both classification and group separation approaches are outlined. Three assumptions that are crucial in ecological studies are discussed at length, and the consequences of their violation are developed. These assumptions are: equality of dispersions, identifiability of prior probabilities, and precise and accurate estimation of means and dispersions. The use of discriminant functions for purposes of interpreting ecological relationships is also discussed. It is suggested that the common practice of imputing ecological 'meaning' to the signs and magnitudes of coefficients be replaced by an assessment of 'structure coefficients.' Finally, the potential and limitations of representation of data in canonical space are considered, and some cautionary points are made concerning ecological interpretation of patterns in canonical space.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Some observations on the use of discriminant analysis in ecology
Series title:
Ecology
Volume
64
Issue:
5
Year Published:
1983
Language:
English
Contributing office(s):
Patuxent Wildlife Research Center
Description:
1283-1291
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Ecology
First page:
1283
Last page:
1291
Number of Pages:
9