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CANONICAL VARIATE ANALYSIS WITH SPATIALLY‐CORRELATED DATA
Author(s) -
Campbell N.A.,
Kiiveri H.T.
Publication year - 1993
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1993.tb01341.x
Subject(s) - canonical correlation , random variate , covariance , canonical analysis , mathematics , canonical correspondence analysis , correlation , spatial correlation , statistical physics , covariance function , statistics , geometry , physics , random variable , geology , paleontology , species richness
Summary A general canonical variate model is derived when the observations are spatially correlated. For spatial covariance structures resulting from dependence of a pixel on its nearest neighbours, the solution reduces to an analysis of neighbour‐corrected values. The usual analysis, in which spatial correlation is ignored, gives similar canonical vectors but over‐estimates the canonical roots. A formula for approximating the reduction in the canonical roots to adjust for the spatial correlation is given.