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CANONICAL ANALYSIS IN SEVERAL POPULATIONS WITH PREDICTOR WEIGHTS CONSTRAINED ACROSS POPULATIONS
Author(s) -
Frederiksen Carl H.
Publication year - 1974
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1974.tb00542.x
Subject(s) - canonical analysis , canonical correlation , mathematics , canonical correspondence analysis , extension (predicate logic) , canonical form , set (abstract data type) , statistics , computer science , pure mathematics , ecology , biology , abundance (ecology) , programming language
An extension of canonical analysis to several populations is considered in which, at each stage in the analysis, one set of canonical weights is constrained to be equivalent across the several populations. Estimation and hypothesis testing are discussed with respect to the first‐stage canonical variates, and an iterative procedure for obtaining an approximate solution for higher‐stage canonical variates is presented.