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. Author manuscript; available in PMC: 2014 Apr 17.
Published in final edited form as: J Probab Stat. 2012 May 1;2012:652569. doi: 10.1155/2012/652569

Table 1.

Relationship between MANOVA test statistics and canonical correlation for association test of multivariate phenotype and a genetic marker.

MANOVA test f(ρ̂)
Roy’s largest root ρ̂2
Hotelling-Lawley trace ρ̂2/1 − ρ̂2
Wilks lambda 1 − ρ̂2
Pillai-Bartlett trace ρ̂2